February 28, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BTW 1302, CSUCI Bell Tower |
| Cindy Wyels | What Constitutes a Masters Thesis/ Project? Presentation followed by Q and A. |
Abstract. To be announced. |
March 1, 2007 |
6:00 PM to 7:30 PM | Graduate Talk BTW 1684, CSUCI Bell Tower |
| Peter Newstead | Geometric Invariant Theory |
Abstract. ABSTRACT: GIT- geometric invariant theory in algebraic geometry is a development building on nineteenth century invariant theory. The motivation was to find a concrete, geometrical theory of moduli spaces of algebraic varieties. Since 1965, GIT theory has been very influential, and the technical concept of stability used has been basic in much later research, for example on moduli spaces of vector bundles. |
March 7, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BTW 1302, CSUCI Bell Tower |
| Peter Newstead | 200 Years (well, almost) of Linear Systems on Riemann Surfaces |
Abstract. In a first course on complex functions, one learns that a function which is meromorphic on the Riemann sphere (that is, the complex numbers with a point at infinity adjoined) is a rational function. It follows that the functions with at worst simple poles at n points form a vector space of dimension n + 1. The idea of generalising this to functions on what we now call a Riemann surface goes back (surprise, surprise) to Riemann around 1850, although some of the ideas date back at least to the work of Abel and Jacobi in the 1820s. I will discuss a few of the developments between then and now. |
March 8, 2007 |
6:00 PM to 7:30 PM | Graduate Talk BTW 1684, CSUCI Bell Tower |
| Peter Newstead | Geometric Invariant Theory |
Abstract. ABSTRACT: GIT- geometric invariant theory in algebraic geometry is a development building on nineteenth century invariant theory. The motivation was to find a concrete, geometrical theory of moduli spaces of algebraic varieties. Since 1965, GIT theory has been very influential, and the technical concept of stability used has been basic in much later research, for example on moduli spaces of vector bundles. |
March 14, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BTW 1302, CSUCI Bell Tower |
| Liana Dawson | Dispersive Systems and Solitons |
Abstract. This talk will concern a type of partial differential equation called a dispersive equation. Dispersive equations arise in various physical contexts, including water waves and plasma physics. I will begin by defining dispersive equations and then give a brief history of the Korteweg de Vries (KdV) equation, which is one of the most well known dispersive equations. I will then discuss a special type of solution to nonlinear dispersive equations called the soliton. We will explore various characteristics of solitons and look at a few simple animations. I will conclude by discussing my research regarding uniqueness properties of higher order dispersive equations. |
March 15, 2007 |
2:30 PM to 3:30 PM | Undergraduate Seminar BTW 2515, CSUCI Bell Tower |
| Dr. Fai Mok | Holographic Memories |
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March 28, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BTW 1302, CSUCI Bell Tower |
| Amy Wallace (CSUCI) | Literature Searches in Mathematics |
Abstract. This hands-on workshop will provide an overview of finding resources for literature reviews in mathematics. Students will be exposed to a variety of resources, and to effective searching techniques. The goal is to have students arrive with a topic in mind and leave with full-text articles either in hand or on their way to them via Interlibrary Loan. |
March 29, 2007 |
2:30 PM to 3:30 PM | Undergraduate Seminar BTW 2515, CSUCI Bell Tower |
| Student presentations | Pacific Coast Undergraduate Mathematics Conference student presentations |
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April 4, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BTW 1302, CSUCI Bell Tower |
| Eric Wambach (California Institute of Technology) | Diophantine equations, elliptic curves and automorphic forms |
Abstract. The general problem posed by Diophantine equations is to find integer solutions to polynomial equations with integer coefficients. For example, we show how to find all integer solutions to the equation . This was known to Euclid more than 2000 years ago. Moving to higher degree polynomials, it will become apparent that elliptic curves of the form present particularly nice and challenging examples of Diophantine equations. We discuss a few examples of elliptic curves, and how they are related to basic problems in number theory. In order to answer some of them, one needs to combine methods from geometry, analysis and arithmetic. This involves the concept of automorphic forms. If time permits, I will briefly introduce and discuss some of my own research interests in the field. |
April 5, 2007 |
2:30 PM to 3:30 PM | Undergraduate Seminar BT- 2515, CSUCI Bell Tower |
| Goeff Buhl (CSUCI) | TBA |
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April 11, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BTW 1302, CSUCI Bell Tower |
| Jo Hardin (Pomona College) | TBA |
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April 18, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BT-1302, CSUCI Bell Tower |
| Mohamed Ait Nouh (CSUCI) | Knotted surfaces in 4-space |
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April 19, 2007 |
2:30 PM to 3:30 PM | Undergraduate Seminar BT-2515, CSUCI Bell Tower |
| Dr. Jonas Mureika (LMU) | Revealing the texture of the universe: Lacunarity and large-scale structure |
Abstract. The enigma of galaxy clustering challenges our basic understanding of the history and evolution of the universe. Standard theory requires a uniform distribution of matter, yet observation suggests that the present clustering is largely inhomogeneous. This mismatch is further confused by the apparent smoothness of the cosmic microwave background, an historic imprint of the pre-inflationary universe moments after the Big Bang. This talk will summarize the current state of large-scale cosmological structure data, from both the theoretical and observational stance. In particular, it will explore a novel analysis technique that can not only quantify the nature of clustering, but also holds the potential to reveal the underlying geometry of the universe. |
April 25, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BT-1302, CSUCI Bell Tower |
| Morgan Sherman (CSUCI) | Numerical approximations to canonical metrics |
Abstract. Given a complex differential manifold embedded in Pn by a power of an ample line bundle Lk we have in general two notions of metric: those inherited from Pn which simply correspond to Hermitian (n+1) × (n+1) matrices, and metrics defined on the embedding line bundle Lk. Given a metric of one kind we can construct a metric of the other kind. So starting with a Hermitian matrix we can, in two steps, construct a new one. Iterating this we will converge to a fixed matrix. This map has been studied in detail, most recently by Donaldson (Imperial). It can be viewed as a discrete version of the famed Ricci flow, which was used to help settle the Poincare conjecture. I will introduce the notions of complex manifold, line bundle, metric, all from a differential geometric point of view. We will then look at some numerical results on using the above map to approximate canonical metrics. This is joint work, in progress, with Ben Weinkove (Harvard). |
April 26, 2007 |
2:30 PM to 3:30 PM | Undergraduate Seminar BT- 2515, CSUCI Bell Tower |
| Students | TBA |
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April 28, 2007 |
11:00 AM to 3:00 PM | Math Club Picnic , Mission Oaks Park, Camarillo |
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Abstract. All CSUCI students, staff, faculty, and alumni are welcome to the bi-annual picnic featuring the much aticipated Faculty vs. Student Soccer Game! For directions please contact Math Club President, Daniel Brice or see flyer posted in Math Center BT-1512. Other Math Club information: Meetings are Tuesday evenings at 6:00 p.m. in the math center. We have pizza and guest speakers. Officer elections will be held on Friday, May 11 (Last day of instruction) during the Anti-Talent show. |
May 1, 2007 |
2:35 PM to 3:45 AM | UnderGraduate Seminar BTW 2515, CSUCI Bell Tower |
| Dr. Renny Christopher, Dr. Julia Fogg, Dr. Jesse Elliott and Dr. Greg Wood | Eternity, Universe and Forever infinity |
Abstract. During long time, the concept of eternity has been perceived passionately from a religious aspect. Wheatear or not the universe is infinite has been a topic of discussion in the physical sciences. A philosophical discussion will take place in this round table with speakers from different backgrounds. Please come and join us at this interesting dialog between the audience and the speakers. Dr. Julia Fogg is a Religion professor at CLU Dr. Gregory Wood is a Physics professor at CSUCI Dr. Renny Christopher is an English professor at CSUCI Dr. Jesse Elliott is a Math Professor at CSUCI. |
May 2, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BT-1302, CSUCI Bell Tower |
| Serban Raianu (CSU Dominguez Hills) | TBA |
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May 3, 2007 |
2:30 PM to 3:30 PM | Graduate Seminar BT-2515, CSUCI Bell Tower |
| Student presenters | Senior Colloquium and CSU Research Competition presentations |
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May 9, 2007 |
7:00 PM to 8:00 PM | Graduate Seminar BT-1302, CSUCI Bell Tower |
| Janine Lansdown and Victor Moreno (CSU Channel Islands) | MS Math Thesis Presentations |
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May 10, 2007 |
2:30 PM to 3:30 PM | Undergraduate Seminar BT-2515, CSUCI Bell Tower |
| Student Presenters | Intership Presentations |
Abstract. Students who signed up for Math 492 will present their learning experience as a result of observing both teachers and student participation. |
May 11, 2007 |
12:00 PM to 2:00 PM | Anti-Talent Show BT-1302, CSUCI Bell Tower |
| Math Club | |
Abstract. The Math Club is proud to present the end of the year Anti-Talent Show. All students, faculty, staff, and alumni are welcome. Talent is welcome but not required. Come and join us for a fun filled event where students and faculty perform their talents. There will be singin, dancing, juggling, karaoke, lip synching, and magic tricks. Math Student projects will preced the talent show. |
June 10, 2007 |
8:45 AM to 12:20 PM | CSUCI-UAEH Join Meeting BT 2414, CSUCI Bell Tower |
| CSUCI-UAEH | Seminars and Talks |
Abstract. There will be talks from 8:45 to 12:10 from Monday Through Thursday. Then some fieldtrips will take place including the Getty Museum at Malibu. Please check the final schedule |
September 12, 2007 |
6:30 PM to 7:30 PM | Mathematics Graduate Seminar BTW 1302, CSUCI Bell Tower |
| Catherinee Lee | My Experiences with Nielsen Fixed Point Theory, Industrial Mathematics and Life |
Abstract. The past two years have taken me on a path from graduate research in the lovely but little-appreciated field of algebraic topology called Nielsen Fixed Point Theory through a research job for the defense industry which was abruptly terminated. This talk introduces tidbits of Nielsen Fixed Point Theory and industrial math related to radar detection, and provides some valuable lessons learned from the process. |
September 13, 2007 |
2:30 PM to 3:30 PM | Mathematic Seminar BTW 1642, CSUCI Bell Tower |
| Daniel brice | Constructing the Logical Boolean Operations, and Applications to Computer Scienc |
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January 30, 2008 |
4:30 PM to 5:30 PM | Mathematics Undergraduate Seminar BTW 1704, CSUCI Bell Tower |
| Dr. Jorge Garcia | Mathemagic |
Abstract. Some card tricks will be demonstrated and you will learn how to do them. You will also learn about the math behind these tricks. Some other astonishing tricks not-involving math will also be taught. Please bring a pack of cards a notebook to take notes (if you want to film it, it is ok). |
February 1, 2008 |
1:45 PM to 2:20 PM | Mathematics Fridays Seminar BTW 1684, CSUCI Bell Tower |
| Vania Mascioni | Graphs, Metric Spaces and Probability |
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February 1, 2008 |
3:30 PM to 4:00 PM | Mathematics Graduate Seminar BTW 1611, CSUCI Bell Tower |
| Stefan Erickson | Elliptic Curve Cryptography. |
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February 8, 2008 |
3:30 PM to 4:00 PM | Mathematics Seminar BTW 1611, CSUCI Bell Tower |
| Diana W. Verzi | Hey, did that thing just move? A study in cell crawling |
Abstract. Migration of animal cells underlies wound healing and cancer cell metastasis. These cells accomplish motion using a complex network of actin and myosin, with localized protrusion and contraction. However, these proteins are involved in many aspects of cell behavior and require a host of accessory proteins, adding to the complexity of experimental interpretation and the modeling process. We, therefore, will look at locomotion in the nematode sperm cell, which crawls in a manner similar to the cancer cell, but with a much simpler set of mechanisms. We will attempt to fully understand its dynamics. |
February 8, 2008 |
9:45 AM to 10:15 AM | Mathematics Seminar BTW 1462, CSUCI Bell Tower |
| DAGAN KARP | An introduction to the mathematics of string theory |
Abstract. In this talk I hope to give an introduction to the exciting world of mathematical string theory, and illustrate how surprising ideas from physics have been used to solve hundred-year-old problems in enumerative geometry. |
February 15, 2008 |
3:30 PM to 4:00 PM | Mathematics Seminar BTW 1611, CSUCI Bell Tower |
| Brian Munson | Two things you might not know about the linking number |
Abstract. The linking number is of fundamental importance in knot theory, and many equivalent and useful definitions have been proposed over the years, beginning with Gauss in 1833. I will propose another, and from this definition we will learn two important facts about the linking number. These two facts are crucial to being able to generalize the notion of linking to any manifolds. |
February 15, 2008 |
11:50 AM to 12:20 PM | Mathematics Seminar BTW 1611, CSUCI Bell Tower |
| Salah Eddine Kabbaj | Trivial Ring Extensions Defined by Gaussian Conditions |
Abstract. This talk deals with well-known extensions of the Prufer domain concept to arbitrary commutative rings. We investigate the transfer of these notions to various contexts of trivial ring extensions (also called idealizations) of commutative rings by modules. The new results generate new and original families of rings with zero divisors subject to any given Prufer condition. We place more focus on the Gaussian property and its connection with the 40-year-old Kaplansky-Tsang content conjecture as well as with Bazzoni-Glaz conjecture on the weak global dimension of Gaussian rings. |
February 20, 2008 |
4:30 PM to 5:30 PM | Mathematics Undergraduate Seminar BTW 1302, CSUCI Bell Tower |
| Hector D. Ceniceros | Free Boundary Problems in Fluids and Soft Materials |
Abstract. This seminar will explore free boundaries in fluid and materials. The complex motion of these boundaries is the source of fascinating phenomena of both scientific and technological importance. Free-to-move boundaries occur naturally in fluids and materials. The surface of the ocean is a familiar example of a free boundary between two fluids, water and air. Soft materials like plastics, resins for making DVDs, and liquid crystals are also characterized by tiny structures which are free to move and interact with processing flows. The complex motion of these boundaries is the source of fascinating phenomena of both scientific and technological importance. In this talk, I will illustrate with several examples the crucial role that Mathematics plays in the development of models and computational methods to better understand these complex fluids and eventually to be able to predict their properties. |
March 12, 2008 |
4:30 PM to 5:30 PM | Mathematics Graduate Seminar BTW 1704, CSUCI Bell Tower |
| Andrei Y. Istomin | Irreducible Tensors Help Understand Atoms and Find Cures to Cancer |
Abstract. Abstract Irreducible tensors are mathematical objects that are extensively used in theoretical physics to understand symmetry properties of processes in atoms, molecules, and nuclei, and exploit them to simplify calculations and make theoretical predictions. In this seminar, applications of irreducible tensors in two very different scientific disciplines, theoretical atomic physics and computational biology, will be described. First, irreducible tensors and quantum theory of angular momentum techniques will be applied to analyses of nondipole effects in a fundamental process of simultaneous ejection of two electrons from He atom upon absorption of a single photon [Istomin et al, Phys. Rev. Lett. 92 063002 (2004); 97 123002 (2006)]. Second, similar techniques making use of irreducible tensor expansions will be employed to evaluate a classical partition function for proteins and nucleic acids, with the goal to be able predict their thermodynamic response to mutations and environmental perturbations. |
March 26, 2008 |
4:30 PM to 5:30 PM | Mathematics Graduate Seminar BTW 1704, CSUCI Bell Tower |
| Jorge Garcia | The Most Interesting Topic in Math |
Abstract. There weill be some example of conjectures and impossibilities in Mathematics, such as Galois Theorem, the Duplicate of the Cube, etc. |
April 9, 2008 |
4:30 PM to 5:30 PM | Mathematics Graduate Seminar BTW 1702, CSUCI Bell Tower |
| Channel Island Students | Mexico Presentation |
Abstract. Students from Channel Islands will present on their trips to Mexico. Topics will be varied. |
April 23, 2008 |
4:30 PM to 5:30 PM | Mathematics Graduate Seminar BTW 1302, CSUCI Bell Tower |
| David Strong | |
Abstract. will discuss three projects that I have recently worked on with my undergraduate students. The first two both involve the application of some simple mathematics to sports. The mathematics used involves ideas from Calculus 3 and from Probability. The third project is much more mathematical, and perhaps of less immediate interest to students (but far more interesting to me). For this third project we are studying a problem that is related to both Linear Algebra and Numerical Analysis |
February 4, 2009 |
5:50 PM to 6:50 PM | Mathematics Graduate Seminar 2325, CSUCI Broom Library |
| Aparna Higgins | Demonic Graphs and Undergraduate Research |
Abstract. Working with undergraduates on mathematical research has been one of the most satisfying aspects of my professional life. This talk will highlight some of the beautiful and interesting research done by my former undergraduate students on line graphs and pebbling on graphs. We will consider line graphs, some pioneering results in pebbling graphs, and pebbling numbers of line graphs. This work has inspired other students to investigate questions in these areas, and it has contributed to my research as well. |
February 4, 2009 |
4:30 PM to 5:20 PM | Mathematics Undergraduate Seminar 2325, CSUCI Broome Library |
| Dr. Jorge Garcia | "Possibilities and Impossibilities in Mathematics" |
Abstract. : In this talk, we will provide several examples of problems in mathematics, some that are solvable and some that are not. People tried for long time to trisect an angle using only unmarked straightedge and a compass and a non-marked ruler, there were even rewards for whomever did it; however it has been scientifically proved that this is impossible. Examples like this will be given. |
February 18, 2009 |
4:30 PM to 5:20 PM | Mathematics Graduate Seminar 2325, CSUCI Library |
| Nick Winters and Jaimee Morrison | Mathematics in the Media |
Abstract. Nick Winters and Jaimee Morrison will both be presenting different elements of "Mathematics in the Media" |
February 24, 2009 |
4:30 PM to 5:20 PM | Mathematics Graduate Seminar 2325, CSUCI Library |
| Katrina Hammer, Vanessa Espinoza, William Campbell, and Michelle Black | Mathematics in the Media |
Abstract. Katrina Hammer, Vanessa Espinoza, WIlliam Campbell, and Michelle Black will each be presenting mathematics in the media. Michelle Black will be talking about the movie "Flubber" |
March 4, 2009 |
4:30 PM to 5:20 PM | Mathematics Graduate Seminar 2325, Broome Library |
| Professor Kevin Iga | Adinkras: Supersymmetry using graphs and codes |
Abstract. In 2004, physicists M. Faux and S. J. Gates invented a new way to understand supersymmetry using diagrams called Adinkras. The mathematical study of the combinatorial aspects of these diagrams has led to a range of new, previously unknown supersymmetric theories, and suggests an approach to exhaustively listing all supersymmetric theories, as well as solving some difficult questions such as the off-shell problem. At the same time, the story of this investigation makes contact with diverse areas of mathematics from algebraictopology to algebra to error-correcting codes. No previous knowledge of supersymmetry or particle physics is assumed in this talk. |
March 11, 2009 |
4:30 PM to 5:20 PM | Mathematics Graduate Seminar 2325, CSUCI Broome Library |
| Jason Greenberg, Andrew Mostowa, Cole Rieger, Melinda Sherman, and Phil West | Mathematics in Media |
Abstract. Jason Greenberg, Andrew Mostowa, Cole Rieger, Melinda Sherman, and Phil West will be speaking on a different type of media containing some form of mathematics. |
March 18, 2009 |
4:30 PM to 5:20 PM | Mathematics Graduate-Undergraduate Seminar Broome 2325, Broome Library |
| David Protas | Zeros and Derivatives of Analytic Functions |
Abstract. We consider complex valued functions of a complex variable that are differentiable in the open unit disk D = {z: |z| < 1}. When studying the points of D at which many such functions can equal 0, a certain type of function, called a Blaschke product, is of prime importance. We will describe what has been learned during the past 36 years about the relationship between the zeros of a Blaschke product and the growth rate of its derivative. This talk is intended to be accessible to anyone with at least one year of calculus. |
April 1, 2009 |
4:30 PM to 5:30 PM | Mathematics Graduate Seminar 2325, CSUCI Broome Library |
| Professor Julie Marie Rowlett | Can we hear the shape of a drum? |
Abstract. If M is a domain in the plane, the frequencies of a drumhead shaped like M are equal to the eigenvalues of the Laplace operator on M with Dirichlet boundary condition. Mathematically, one may consider the question: with a perfect ear capable of distinguishing all frequencies produced by a drumhead, is it possible to determine the shape of the drumhead? We will discover the answer to this problem which took nearly 100 years to solve. This talk will also provide some history and introduction to spectral geometry and discuss currently active areas of spectral geometry research. This talk will be accessible to math and physics students who have studied calculus and differential equations. |
April 6, 2009 |
5:20 PM to 6:00 PM | Fourth Annual CSUCI-UAEH Join Conference 2701, Bell Tower |
| Jorge Davila Lopez | Some geometric properties of curves with rigidity |
Abstract. In this talk, we are going to examine the equilibrium conditions of a curve in space when a local energy is associated with its geometrical state characterized by its curvature and torsion. To do this we will use the theory of deformations to the Serret - Frenet frame of the curve. The Euler - Lagrange equations, which describe equilibrium will be obtained; Noethers theorem will be exploited to identify the constants of integration of these equations. While this system appears not to be integrable in general, it is in various limits of interest. |
April 6, 2009 |
2:00 PM to 2:20 PM | Fourth Annual CSUCI-UAEH Join Conference 2704, Bell Tower |
| Angelica Villeda Roldan | Quadratic forms representing positive integers |
Abstract. In this talk I will present an overview of some results (dating from Fermat to our days) concerning the representation of positive integers by quadratic forms. We emphasize the results dealing with representing an integer as the sum of two, three and four squares. |
April 6, 2009 |
2:30 PM to 2:50 PM | Fourth Annual CSUCI-UAEH Join Conference 2704, Bell Tower |
| Michol Wenger | Math in the Media: Jurassic Park |
Abstract. What is chaos theory? Come find out what makes chaos so chaotic. This discussion includes the history of chaos theory, chaotic dynamics, applications regarding chaos theory, dinosaurs, and more! |
April 6, 2009 |
3:00 PM to 3:20 PM | Fourth Annual CSUCI-UAEH Join Conference 2704, Bell Tower |
| Fanny Margot Sanchez Tapia | Dynamics of the Fermi-Pasta-Ulam lattice |
Abstract. In their ground-breaking 1955 Los Alamos report, E. Fermi, J. Pasta and S. Ulam, considered the dynamics of a discretized model of a nonlinear string with fixed endpoints, consisting of 64 particles that interact with their nearest neighbors via a force that has a linear term and a quadratic (the alpha model), or cubic (the beta model), or broken-linear term. The numerical simulations reported by Fermi, Pasta and Ulam were at odds with the ergodic hypothesis, which suggested that the chain of oscillators should attain, in the limit as time goes to ininfinity, complete thermalization, that is, a state in which the energy of the system is equally distributed among all of its Fourier modes. In contrast, the numerical results suggested that it is possible to set up initial conditions with the energy of the system concentrated in just a few modes, so that the system will come back to these same initial conditions in finite time. This report marked the beginning of a vast amount of literature aimed at explaining the apparent paradox between the numerical simulations of Fermi, Pasta and Ulam and ergodic theory. The interest in this problem is still very much alive given the many applications of the now-called FPU problem in other fields of the natural sciences, but primarily in Physics. Our study focuses on understanding the exchange in energy among the Fourier modes of the original FPU model, in particular, its dependence upon parameters such as the number of oscillators or the size of the coupling constants. |
April 6, 2009 |
3:30 PM to 4:20 PM | Fourth Annual CSUCI-UAEH Join Conference 2704, Bell Tower |
| Brian Rasnow | The Physics of Threshing Pearl Millet: Finding a Revolutionary Solution to an An |
Abstract. About 4 billion people making less than 2 per day face challenges that can be alleviated by applying physics, math, and appropriate technologies. Last summer I participated in a workshop at MIT to do just that. Over the course of three weeks we discovered a revolutionary method to thresh pearl millet, a staple grain of millions of poor farmers in Sub-Saharan Africa and India. This talk will review our process, prototype solution, subsequent research done at CSUCI, and our plans and challenges to disseminate our new thresher. |
April 6, 2009 |
4:30 PM to 4:50 PM | Fourth Annual CSUCI-UAEH Join Conference 2704, Bell Tower |
| Juan Manuel Sanchez Cerritos | Resistance to the motion of a sphere in rare and ideal fluids |
Abstract. In this talk we find the resistance produced by a rare fluid on the motion of a sphere. We also find the resistance produced by an ideal uid on the same object and compare our results. |
April 7, 2009 |
3:30 PM to 3:50 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Edgar Gonzalez Fernandez | Classification of small order groups |
Abstract. Although group theory has been recently developed, there are many interesting advances made in this area of mathematics, and it is a powerful tool used in other areas of mathematics, just like geometry and analysis, and other sciences, like physics and chemistry, for example, to explain some symmetry phenomena or molecular vibrations. One of the most interesting and difficult problems in group theory was established in 1878 by Cayley in his work "The theory of groups." It consists of determining all the groups, up to isomorphism, of a given order n. Although there are theorems that classify all the groups of a specific kind, just like abelian groups or simple finite groups, it's considerably more difficult to determine all existent groups. But many tools and theorems have been developed to study these objects in a better way. |
April 7, 2009 |
6:00 PM to 9:00 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Students in CSUCI's Masters-level Combinatorics class | Combinatorial Topics |
Abstract. The Tuesday evening session features presentations by students in CSUCI's Masters-level Combinatorics class. Each project explores a combinatorial topic and one or more applications of that topic. Winning a Lottery Janine Bundy and Larisa Contreras (25-min. presentation) n-ary Gray Codes Eric Embree and Sadia Embree (25-min. presentation) Modeling Enjoyable Walks with Weighted Digraphs Jonathan Detgen and James McDonough (25-min. presentation) Applications of Chessboard Problems Cory Yi (15-min. presentation) Error-Correcting Codes Nathan Diehl (15-min. presentation) Catalan Numbers Josephine Nguyen (15-min. presentation) Applications of Ramsey Theory David Bennett (15-min. presentation) Assigning California Highway Patrol Cadets to Available Positions Sue Martinez (15-min. presentation) |
April 7, 2009 |
2:00 PM to 2:20 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broom Library |
| David Randolph | Pebbling on Lemke x Lemke, an open question in graph theory |
Abstract. Graham's Conjecture asserts that the pebbling number of the Cartesian product of two graphs is less than or equal to the product of the corresponding pebbling numbers. Graham's Conjecture has been proven for several classes of graphs, including all graphs with the 2-pebbling property. It is still an open question as to whether Graham's Conjecture holds for graphs that do not conform to the 2-pebbling property, such as the Lemke graph. Here, we take a look at a strategy for determining whether or not Graham's Conjecture holds by finding the pebbling number for a graph of order 64, specifically the Cartesian product, Lemke x Lemke. |
April 7, 2009 |
3:00 PM to 3:20 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Catalina Anabella Rivas Peña | A little analysis of "Some Macroeconomics for the 21st Century" of Robert E. Luc |
Abstract. In this talk we will explain the model of Robert E. Lucas Jr., which describes the distribution of production in the world between countries, published in Journal of Economic Perspectives in Winter, 2000. We will try to answer a question asked by Michael Salemi about this article. |
April 7, 2009 |
2:30 PM to 2:50 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Cole Rieger and Shahab Lashkari | Logic Games as Teaching Tools |
Abstract. We all agree that computers and technology have unique capabilities for enhancing teaching and learning on every level. We will present the results of development of an educational game that teaches logic. Ace Altro is a crime drama logic game, where the ultimate goal is to solve a mystery (\Who did it?") and learn about logical inferences while doing so. We will present the mathematical background, algorithm design, scoring templates and the on-going research on the classroom effectiveness of the game. |
April 7, 2009 |
4:00 PM to 4:20 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Homero Roldan Rubio | A Short introduction to WAVELETS and Some applications |
Abstract. We will work with the space l^2(Zp) and present some of its basic properties. Then we will define the Discrete Fourier Transform (DFT) and review some of its most important results. Finally we will say a bit of history surrounding Wavelets and some interesting examples and applications to signal processing and image processing. |
April 8, 2009 |
12:45 PM to 1:15 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Ricardo Romo Romero | What in the world is a stochastic process? |
Abstract. In real life, the more useful processes are not deterministic but stochastic. Instead of dealing with only one possible reality of how the process might evolve under time (as is the case, for example, for solutions of an ordinary differential equation), in a stochastic or random process there is some indeterminacy in its future evolution described by probability distributions. This means that even if the initial condition (or starting point) is known, there are many possibilities the process might go to, but some paths are more probable than others. In this talk I will introduce the definition of Stochastic Process and a special case called Markov Chains. |
April 8, 2009 |
2:30 PM to 2:50 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Rafael Islas Pineda | Basic ideas of mathematical epidemiology |
Abstract. The construction of mathematical models is one of the tools used today to study problems in epidemiology. Their primary objectives are to describe, explain and predict phenomena, through understanding the transmission dynamics of infectious diseases. In this talk, I will explain brie y the background of epidemiological models, and some common patterns of disease transmission which assumes that individuals are in one of several possible states: susceptible individuals (S), infected (I) or removed (R). Also, I will show a simulation of the suggested model, which lets us know the quantities of healthy, infected and recovered, and its temporal course. |
April 8, 2009 |
3:00 PM to 4:20 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Rafael Villaroel | Iterated clique graphs |
Abstract. Let G be a finite simple graph (undirected, no loops, no multiple edges). A clique in G is a maximal complete subgraph. The clique graph of G, denoted K(G), is the intersection graph of the family of cliques of G, that is, in K(G) there is a vertex for each clique of G, and two vertices in K(G) are adjacent whenever the corresponding cliques intersect. The iterated clique graphs are then defined by K0(G) = G, K^n(G) = K(K^(n-1)(G)) for n > 0. The behaviour of graphs with respect to the operator K is classified according to whether the sequence of orders of the graphs {|K^n(G)|; n = 0, 1, 2, ...} is bounded or not. In this talk we show examples and some general results in this topic. |
April 8, 2009 |
6:00 PM to 7:00 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Federico Menendez | Vibrating Polygons |
Abstract. A conjecture by Polya and Szego establishes that the regular n-polygon is able to produce the deepest tone among all the polygons with n sides of given area. This conjecture remains open for n>3 after nearly seventy years of being posed. We will talk about this problem and other aspects related with the vibration of drums of polygonal shape. |
April 8, 2009 |
4:30 PM to 5:20 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Students in CSUCI's Math Colloquium | Math in the Media |
Abstract. Math in the Media: The Office Abstract: This is a presentation on a Math skit from the popular NBC series "The Office" starring Steve Carell. It will include the importance of Math skills regardless of a person's chosen career and the basics skills required to interpret and simplify real life problems. Aubree Long (10 min Presentation) Die Hard With A Vengeance Abstract: A cop and a man he just met have to solve a riddle in a given amount of time to prevent a bomb from going off. The riddle involves many calculations of multiplication which is similar to a problem in the Rhind Mathematic Papyrus dated 1650 B.C. I will discuss the problem and its origins. Kate Whitman (10 min Presentation) Da Vinci Code: Fibonacci Sequence The Fibonacci Sequence originated from a problem in Leonardo Fibonacci's book, "Liber Abaci" in the 1200's. The sequence was not discovered until the 19th century and is considered the first recursive sequence. The sequence, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, appears in many unrelated phenomena and has interesting number theory properties. Also, the Fibonacci Sequence is closely related to the God of all numbers, the Golden Ratio, which will be explored. Michael Nava (10 min Presentation) Pi In the film Pi, Max Cohen believes that everything in nature can be understood through numbers. By finding patterns in these numbers, Max intends to predict the stock market. Is this possible? Shahab Lashkari (10 min Presentation) "Ethics and the Future of Technology" Matthew Misenhimer (10 min Presentation) |
April 9, 2009 |
2:00 PM to 2:50 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Kathryn Leonard | Mathematical Shape Models |
Abstract. This talk will begin with an exploration of the problem of shape recognition and why it appears to be so diffcult. A discussion of modeling will follow, addressing the question of what makes a good shape model. Of course, the definition of "good" depends on who you are. Because shape recognition lies at the crossroads of computer science, neurobiology, psychology, and mathematics, there is no standard criterion for evaluation. We will present some shape models. We argue that we have found a model to please many other disciplines and, at the very least, have come up with an objective method of judgment. You will decide if you agree. |
April 9, 2009 |
5:00 PM to 5:20 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Derek DeSantis, Josefina Flores and Kathleen Lewis | Coefficient Analysis for Structured Textures |
Abstract. Abstract: In the 1950s, scientists predicted the development within ten years of robots capable of performing most human tasks. The primary obstacle to building such robots is the problem of interpreting visual data, or image processing. At the most basic level, images consist of shapes and textures. These textures range from completely regular (wallpaper patterns) to completely random (white noise). This project consists of exploring the relationships of coefficients in various bases (wavelet, Legendre, monomial) of periodic functions before and after deformation. |
April 9, 2009 |
3:30 PM to 4:20 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Alex Shoshitaishvili | Prolegomenon to teaching numbers in a such way that zero could be treated fairly |
Abstract. "Prolegomenon" means something said in advance of something else. Many things have to be said and understood in advance of teaching numbers. For example: What is a fundamental experience or perception on which a person can master the understanding of numbers? Is addition really a superior (easier) operation than multiplication with which to start and, in its turn, is multiplication really superior to division? Why does the necessity of communication between humans require numbers and digits, and how does it affect the logic of learning? Could the confusion of zero be clarified through a better sequence of steps in the introduction of numbers? We will discuss these questions with the help of a multiplicative \mathematical universe" that is an alternative to the traditional additive universe of piles (collections of objects). |
April 9, 2009 |
4:30 PM to 4:50 PM | Fourth Annual CSUCI-UAEH Join Conference 1360, Broome Library |
| Rubi Romero Ayala | An Introduction to gravitational radiation |
Abstract. The theory of General Relativity explains gravitational interactions in terms of the geometry of some manifolds (the so called space-time). I will begin with the foundations for a precise, mathematical formulation of general relativity by obtaining some basic properties of manifolds and tensor fields. Secondly I'll introduce the Riemann curvature tensor by extending the notion of parallel transport of vectors along curves. Finally we mention the approximation in which gravity is "weak". In physics this means that the space-time metric is nearly at. |
April 22, 2009 |
4:30 PM to 5:20 PM | Fifth Undergrad and Grad Seminars Session 2325, Broome Library |
| Dr. Chetan Pahlajani | Probability of Gene Expression |
Abstract. The process of gene expression is the sequence of chemical reactions through which genes (segments of DNA) synthesize protein. While chemical reactions are inherently random - they can be thought of as occurring due to random collisions among molecules - the randomness becomes especially pronounced when the reaction volume is small and numbers of reacting molecules are small, such as in a cell. In contrast, for "large" volumes like test-tubes, the randomness "averages out" and one can work with deterministic models, typically given by ordinary differential equations. The goal of this talk is to discuss some random (stochastic) models for chemical reactions in cells, with an eye towards gene expression. Mathematically, we shall start with continuous-time Markov chains, relate them to the deterministic (test-tube) models (when volume gets large) and finally, take a peek at stochastic differential equations. |
April 29, 2009 |
4:30 PM to 5:20 PM | Math Seminar 2325, Broom Library |
| Delil Martínez | The Role of Subjectivity in Statistical Analysis: The Bayesian Approach |
Abstract. The Bayesian view of statistics is becoming widely accepted as a means to make use of subjective information within a scientific setting in order to facilitate a decision-making process. In this talk I will present the basic ideas behind the Bayesian paradigm and will discuss key issues for its implementation. |
May 6, 2009 |
4:20 PM to 5:35 PM | Math Undergraduate Seminar 2325, Broom Library |
| By Aspiring Math Teachers from CSUCI | "Future Math Teachers of America" |
Abstract. : "In this talk, Math 492 students will share their experiences in elementary and secondary classrooms throughout Ventura County. Topics of talks include: Teaching Math Using Visual Aids; Math, Seen Through Everyday Life; Integers, Fractions, and PEMDAS; Tying Freshman Geometry to Senior Calculus; Factoring Quadratics; Technology in HS Math; and Algebra Tiles. This would be a great talk for all who are interested in teaching mathematics in elementary and secondary schools.” |
March 11, 2010 |
2:00 PM to 5:00 PM | Trip To Mexico , |
| Contact Jorge Garcia | Apply for the trip |
Abstract. Beginning May 19th. Five days at University of Hidalgo, with field trips including Frida Kahlo Museum and UNAM, among others. Need to contact professor Garcia first at 437-2769 or send your name to jorge.garcia@csuci.edu. You will also need two letters of recommendations sent to Dr. Garcia, for deadlines see the trip website, http://math.csuci.edu/trip |
March 17, 2010 |
4:30 PM to 5:30 PM | Undergraduate Colloquium 2325, Broome Library |
| Chris Nowlin | The Geometry of Uncertainty, or A Gentle Introduction to Noncommutative Polynom |
Abstract. Series of talks suitable for undergraduate math audience. |
April 7, 2010 |
4:30 PM to 5:30 PM | Senior Colloquium 2325, Broome Library |
| Brie Finegold | Discovering the Symmetries of a Cube |
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April 9, 2010 |
3:00 PM to 3:30 PM | Trip To Mexico 2424, Bell Tower |
| 30 Minutes Meeting | Informational Meeting |
Abstract. We will be meeting in room 2424 Bell Tower at 3:00 p.m. on April 9th Friday. A package will be distributed. |
April 9, 2010 |
3:00 PM to 4:00 PM | Trip To Mexico 2424, Bell Tower |
| 30 Minutes Meeting | Informational Meeting |
Abstract. We will be meeting in room 2424 Bell Tower at 3:00 p.m. on April 9th Friday. A package will be distributed. |
April 9, 2010 |
3:00 PM to 4:00 PM | Trip To Mexico 2424, Bell Tower |
| 30 Minutes Meeting | Informational Meeting |
Abstract. We will be meeting in room 2424 Bell Tower at 3:00 p.m. on April 9th Friday. A package will be distributed. |
April 9, 2010 |
3:00 PM to 4:00 PM | Trip To Mexico 2424, Bell Tower |
| 30 Minutes Meeting | Informational Meeting |
Abstract. We will be meeting in room 2424 Bell Tower at 3:00 p.m. on April 9th Friday. A package will be distributed. |
May 2, 2011 |
8:50 AM to 2:30 PM | Fifth Annual CSUCI-UAEH Join Conference Mon 1756, Tu&Thur 2325, Broom Library |
| | |
Abstract. See the schedule |
May 2, 2011 |
8:50 AM to 2:30 PM | Fifth Annual CSUCI-UAEH Join Conference Mon 1756, Tu-Thur 2325, Broom Library |
| | |
Abstract. See the schedule |
September 28, 2011 |
6:00 PM to 7:00 PM | Mathematics Graduate Seminar 2325, Broom Library |
| Maggy Tomova | The salesman with marital problems and other questions about graphs |
Abstract. The traveling salesman problem is an old question that has been studied by mathematicians for almost a century. The question can be formulated as follows: Given a number of cities and the times to get from one city to another, what is the fastest route for a salesman to take so he visits all the cities? In this talk we will consider the exact opposite of this problem. Suppose the salesman wants to stay on the road for as long as possible. What is the best way to achieve this goal? We will show how to model this problem with graphs and solve it for certain families of graphs. |
May 14, 2012 |
6:00 PM to 9:00 PM | Final Presentation Math 587 2325, Broome Library |
| Marc Morris-Rivera | Markov Chains in Craps |
Abstract. The game of Craps is a casino game involving several types of bets which depend on the outcome of two rolled dice. The flow of the game can be best described as a Markov Chain. I will show that the game satisfies the Markov Property, define states of the Markov Chain relating to dice rolls, and describe these states in Markov Chain and Probability terminology. |
May 14, 2012 |
6:00 PM to 9:00 PM | Final Presentations Math 587 2325, Broom Library |
| Patrick Snyder | Markov Chains and Automitive Model Availability |
Abstract. This presentation covers an example of a Markov Chain as illustrated by model availability within the automotive industry over the past 4 years. We then use the chain to answer some interesting questions around model availability and longevity. We also cover the stationary distribution of the transition matrix. |
May 14, 2012 |
6:00 PM to 9:00 PM | Final Presentations Math 587 Broom Library 2325, Broom Library |
| Kristin Tejeda | The Role Markov Chains Play in Predicting the Weather |
Abstract. A Markov Chain is a system in which the next state is solely dependent on the present state; none of the prior states (excluding the present state) have an effect on the outcome of the next state. Markov Chains can be used to predict the weather because each day's weather pattern is dependent only upon the prior day's weather. In this presentation, we will look at specific characteristics pertaining to the Markov Chain formed by weather data from Winter 2011. We will see how weather forcasters can use Markov Chains to aid in the prediction of the weather and how this method can at times leave the forcasters guessing as to what the next day's weather pattern will be. |
May 14, 2012 |
6:00 PM to 9:00 PM | Final Presentation in Math 587 Broom Library 2325, Broom Library |
| Christopher Jamison | Markov Chains in Stock Market Performance |
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May 14, 2012 |
6:00 PM to 9:00 PM | Final Presentation in Math 587 Broom Library 2325, Broom Library |
| Christopher Jamison | Markov Chains in Stock Market Performance |
Abstract. In this presentation, I will use stock market performance to illustrate some of core principles in Markov Chain and Markov Process analysis. |
May 14, 2012 |
6:00 PM to 9:00 PM | Final Presentations Math 587 Broome Library 2325, Broome Library |
| Barry Wise | Brent Crude Oil Prices as a Markov Process |
Abstract. In this presentation, Brent Crude Oil prices are modeled as a Markov Process. A simple accurate up/down model is created. A more complex Markov model is then created which is used to generate investment strategies. |
May 14, 2012 |
6:00 PM to 9:00 PM | Final Presentation Math 587 2325, Broom Library |
| Esmaail Nikjeh | Flights and Number of Airplanes |
Abstract. An Airline company wants to see the distribution of their Airplanes and what is the distribution after a certain number of flights (for Maintenance, Resources, and flight schedules). For example, to find the location of the Airplanes after 100 flights. |
May 14, 2012 |
6:00 PM to 9:00 PM | find projects math 587 Broom Library 2325, CSUCI Bell Tower |
| Phil West | Modeling the Mold Making Process with Markov Chains |
Abstract. Mold making requires a number of manufacturing processes. We model the interaction of these operations using Markov processes and then find the steady state in order to better understand the optimum allocation of resources. Using this model we then calculate the expected value for the completion of a typical project. |
May 14, 2012 |
6:00 PM to 9:00 PM | Final Presentations Math 587 2325, Broome Library |
| Elisabeth Perkins | Chutes and Ladders: A Markov Chain |
Abstract. We will see how the movement of a player in the game Chutes and Ladders forms a Markov Chain. We will use this information to answer questions such as the average length of a game, and to predict which player is expected to win. |
May 14, 2012 |
6:00 PM to 8:30 PM | Math 587 Final Projects Broom Library 2325, CSUCI |
| Master Students | Math 587 Final Projects: Markov Chains and their Applications |
Abstract. Please come and welcome the Math 587 Final Project Presentation. Projects include applications of what students have learnt during the course. Refreshments will be served. |
May 14, 2012 |
6:00 PM to 9:00 PM | Mathematics Graduate Seminar Broom Library 2325, CSUCI Bell Tower |
| Phil West | Modeling the Mold Making Process with Markov Chains |
Abstract. The mold making process consists of a number of manufacturing operations. In order to better allocate resources we model the interaction of these processes to find the steady state and then compare this to actual available resources. In order to further validate the model we look at the expected value for the time to build a typical mold based on our model. |
February 13, 2013 |
4:40 PM to 5:45 PM | Undergraduate Colloquium 2325, Broom Library |
| Math 499 Students | Math and Social Media |
Abstract. Talks will be given discussing the impact of math on social media and vice-versa. |
February 27, 2013 |
4:30 PM to 5:30 PM | Mathematics Graduate Seminar Broom Library 2325, CSUCI Bell Tower |
| Andrew Navarro | Math Interactions with Google Plus |
Abstract. I will speak about how math is used to make G+ go viral. Also, the benefits for math educators and math students. |
February 27, 2013 |
4:30 PM to 5:30 PM | Mathematics Undergraduate Seminar Broom Library 2325, CSUCI Bell Tower |
| Jillian Glassett | The world of tweeter |
Abstract. studying the connections, how math is connected and if tweeter can be using to educational purposes |
February 27, 2013 |
4:30 PM to 5:20 PM | Mathematics Graduate Seminar Broom Library 2325, Broom Library |
| Connor Lahood | Learning Math from Social Media |
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March 6, 2013 |
5:00 PM to 5:10 PM | Mathematics Undergrad Seminar Broom Library 2325, CSUCI Library |
| Sara Fernandez | Math and Internet Radio |
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March 6, 2013 |
4:30 PM to 5:20 PM | Mathematics Undergraduate Seminar Broom Library 2325, CSUCI Bell Tower |
| Daniel Vournazos | Algorithms in Video Games |
Abstract. This talk highlights the mathematics and different algorithms that are employed in video games nowadays. From insane trigonometric calculations for displaying polygons to different AI algorithms used in creating advanced enemies, and everything between. |
March 6, 2013 |
4:45 PM to 5:30 PM | Mathematics Graduate Seminar Broom Library 2325, CSUCI Bell Tower |
| Mayra Sahagun | What's Pinterest got to do with Math? |
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March 6, 2013 |
4:30 PM to 5:30 PM | Mathematics Undergraduate Seminar Broom Library 2325, CSUCI Bell Tower |
| Rodrigues Bailey | Sexual Attraction, Online Dating, and Math |
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March 6, 2013 |
4:50 PM to 5:00 PM | Mathematics Graduate Seminar 2325 (Second Floor), CSUCI Broome Library |
| Aaron Galvan | Mathematical Symmetry in Company Logos and Advertisements |
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March 13, 2013 |
5:00 PM to 6:00 PM | Mathematics Graduate Seminar Broom Library 2325, CSUCI Bell Tower |
| Roger Roybal | Integral Form of the Spectral Theorem |
Abstract. In mathematics, particularly linear algebra and functional analysis, the spectral theorem is any of a number of results about linear operators or about matrices. In broad terms the spectral theorem provides conditions under which an operator or a matrix can be diagonalized (that is, represented as a diagonal matrix in some basis). In this talk, we will explore a form of such theorem in terms of an integral. |
March 27, 2013 |
4:30 PM to 5:45 PM | Math and Physics Seminar Broom Library 2325, CSUCI Library |
| Dr. Brian Sittinger | Concerning Generalised Harmonic Series |
Abstract. Well-known (or at least it should be) to any Calculus student is the fact that the harmonic series 1 + 1/2 + 1/3 + 1/4 + ... diverges, while the alternating harmonic series 1 - 1/2 + 1/3 - 1/4 + ... converges. Perhaps a little less known is that this latter series converges to π/4. A natural question is what happens if we replace the alternating sign pattern +,-,+,-,... with other sign patterns such as +,+,-,-,+,+, ...? Are there closed forms for the corresponding ‘generalised’ harmonic series? Anyone who has had calculus should be able to follow most, if not all, of this talk (even if you do not have warm and fuzzy feelings about series). |
April 3, 2013 |
4:30 PM to 5:20 PM | Math 499 Seminar Broom Library 2325, CSUCI Library |
| Serban Raianu | An Introduction to Hopf Algebras |
Abstract. Hopf algebras are algebraic structures that were first discovered in topology in the early 1940s. They may be found in virtually every field, from number theory and algebraic geometry to quantum physics, passing through ring theory, probability theory, representation theory, Lie theory, operator theory, combinatorics, computer science, and many other. Some basic examples of Hopf algebras will be given, along with the description of some problems to be studied in connection with Hopf algebras. Concrete results, some of them very recent, will be used to illustrate the diversity of the subject. |
April 10, 2013 |
4:30 PM to 5:30 PM | Senior Colloqium Talk Broom Library 2325, CSUCI Library |
| Michael Orrison | Generalizing the Condorcet Criterion |
Abstract. The Condorcet Criterion is relatively straightforward: In an election, if there is a candidate who would beat every other candidate in a head-to-head race, then that candidate should be declared the winner. In this talk, I'll describe a natural family of generalizations of the Condorcet Criterion that led us to some unexpected questions and answers concerning forbidden "words of generalized Condorcet winners." This is joint work with Aaron Meyers, Jen Townsend, Sarah Wolff, and Angela Wu. |
April 17, 2013 |
4:30 PM to 5:20 PM | Math 499 Undergraduate Colloquium Broom Library 2325, CSUCI Library |
| Dr. Gerald Beer | An Introduction to Convex Sets and Functions |
Abstract. Abstract: We discuss the characteristic features of convex sets and go over standard classes of convex sets: cones, flats, balls, half-spaces and polyhedra. Convex functions (that can take on values infinity) may be viewed as special types of convex sets upon the identification of a function with its epigraph. Finally, we introduce Hausdorff distance between convex sets. |
April 24, 2013 |
4:30 PM to 5:35 PM | Math 499 Colloquium for Undergraduates: Broom Library 2325, CSUCI Library |
| Brian Rasnow | Archimedes Palmpiset |
Abstract. Archimedes (287-212B.C.) was the greatest scientist-mathematician-engineer of his time. He developed methods for computing areas, volumes, and centers of gravity of geometric objects using the law of the lever, without Calculus (which wasn’t invented for another 2000 years). Several of his original writings are known, and another was discovered and published just a few years ago. In this talk, Brian will demonstrate what Archimedes called "The Method" by finding the area under a parabola. Brian will summarize some of the science and intrigue behind the discovery and revelation of these ancient documents. Finally we will go off on a different topic to ponder the most ancient calculators, calendars, and the purpose of mathematics in ancient Mayan society. |
May 1, 2013 |
4:30 PM to 5:20 PM | Math 499 Colloquium Student Talks Broom Library 2325, CSUCI Library |
| Jillian Glasset / Rodrigues Bailey | Compression and Skeleton Shape Models / Wildfire Growth Predictions Using Infare |
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November 6, 2013 |
4:30 PM to 5:30 PM | Math 499 Colloquium Broom Library 2325, CSUCI Library |
| Margaret Mart | Teaching Mathematics to High School Students with Learning Disabilities |
Abstract. Teaching mathematics to high school students with learning disabilities requires, aside from having a positive teacher-student relationship, the ability to create a specialized educational system within the classroom. This system needs to be continuously adjusted based on the ongoing and ever-changing needs of the students. It is crucial to take into consideration all details within the classroom, including seating arrangement, wall decoration, classroom rules, and organization of teaching tools and materials. Also, it is critical that all written material be designed with large fonts, with only a few problems on one page, and a carefully planned progression in mathematical difficulty. The overall success of a teacher is dependent on the following main factors: an understanding the unique challenges associated with learning disabilities as well as the general nature of mathematics, establishment of clear teaching goals, and implementation of a series of specific steps that will advance students from their current level to help them to achieve their full potential. |
December 4, 2013 |
4:00 PM to 6:00 PM | Math 499 Colloquium / Sociology Special Event 1320, CSUCI Broome Library |
| Elena Woodward, Sharon Spielman, Julia Domenech, Lisa Meyers, Jennifer Kirby, Kathleen Paulson, Charlene Rincon | Women in STEM: Broadening Perspectives and Breaking Barriers |
Abstract. What can you do with a STEM degree? What unique barriers do women face in STEM careers and how can they be overcome? These are two of the main questions what will be answered in this two-panels event at CSU Channel Islands. Participants belong to Navy, Patagonia, AMGEN, Society of Women Engineers among others. Our speakers are here to talk about their experiences. Please join us in this great event. |
February 19, 2014 |
4:30 PM to 5:20 PM | Math 499 Colloquium Broom Library 2325, CSUCI Library |
| Kenneth Millet | Knots and Slipknots: Applications and Problems |
Abstract. How he came to study knots and slipknots in mathematics and nature with a description of the initial mathematical questions, applications to biology and to polymer physics. Will share many natural questions that we don't yet know how to answer. |
March 5, 2014 |
4:30 PM to 5:20 PM | Senior Colloquium Guest Speaker for March 5th, 2014 Broome Library 2325, CSUCI Library |
| Dr. Michael Gagliardo | Map Projections: The Geometry of Why Maps Look Strange |
Abstract. Many classrooms in the US have a world map hanging on the wall. We take this map as our representation of ‘the world’, however, some countries have very inaccurate representations on these maps. We would like a map of the Earth to preserve the distance between two points and the angles between two lines. In this talk, we will see what Euler had to say on the matter and explore the geometry of map projections. |
March 12, 2014 |
4:30 PM to 5:45 PM | Math 499 Colloquium Talk Broom Library 2325, CSUCI Library |
| Ken Iga | Topology and Morse Theory |
Abstract. Abstract: We begin with an observation about polyhedra due to Euler and Descartes, and explore some curious ways to apply these insights to the number of maxima, minima and saddle points of a function. |
April 2, 2014 |
4:30 PM to 5:45 PM | Math and Physics Seminar Presentation Broom Library 2325, CSUCI Library |
| Dr. Brian Sittinger | A Telescoping Approach to Establishing the sum [1/n^2] = (pi^2)/6 |
Abstract. It is a remarkable fact that 1 + 1/2^2 + 1/3^2 + ... = π^2/6. Even though there are many proofs of this result, it still has an air of mystery about it. I will show a recent proof of this fact that revolves around nothing more than integration by parts followed by a crafty use of telescoping sums. Time permitting, I will show how these ideas can be extended (with a bit more cleverness) to deduce that 1 + 1/2^4 + 1/3^4 + ... = pi^4/90. |
April 8, 2014 |
4:30 PM to 5:20 PM | Mathematics Talk Broom Library 2325, CSUCI Library |
| Dr. Roger Roybal | |
Abstract. This will be a talk about how we can use origami in interesting ways to explore and explain geometry. Where we would normally use a compass and straightedge to do constructions, we can use origami to carry out other procedures like trisecting angles. Then we will look at modular origami, which is the assembly of large structures from smaller identical figures. From this we will look at what curvature means in this situation and the Euler Characteristic. |
April 9, 2014 |
4:30 PM to 5:20 PM | Mathematics Talk Broom Library 2325, CSUCI Library |
| Dr. Roger Roybal | |
Abstract. This will be a talk about how we can use origami in interesting ways to explore and explain geometry. Where we would normally use a compass and straightedge to do constructions, we can use origami to carry out other procedures like trisecting angles. Then we will look at modular origami, which is the assembly of large structures from smaller identical figures. From this we will look at what curvature means in this situation and the Euler Characteristic. |
April 16, 2014 |
4:30 PM to 5:20 PM | Math and Physics Undergraduate Seminar Broom Library 2325, CSUCI Library |
| J. Brooke Ernest | Making the Infinite Seem Finite |
Abstract. Abstract: Projective Geometry originated as an artist’s tool during the Renaissance era in an effort to formalize the process by which an artist could create a realistic drawing or painting of a three-dimensional object or scene. As time progressed, these procedures were formalized and then extended to become a branch of geometry. In general, projective geometry in two or three dimensions involves how objects on one line or plane, respectively, project onto a second line or plane through a center of projection. More specifically, projective geometry is the study of the aspects or properties of objects that remain invariant through projection, such as the cross ratio of a set of points. In this presentation I will further discuss the origins and significance of projective geometry and provide an exploration into the ways in which the invariance of the cross ratio can be utilized for determining the vanishing point in a sketch or painting, even when limited information is provided. |
April 21, 2014 |
9:00 AM to 5:00 PM | Math From the Ground Up , CSUCI Library Plaza |
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April 22, 2014 |
7:00 PM to 9:00 PM | Math Awareness Month Broome 1756, CSUCI Library |
| | 21 |
Abstract. Join us for a screening of "21" A short lecture on mathematical concepts in the movie will precede the viewing. |
April 23, 2014 |
4:30 PM to 5:20 PM | Undergraduate Seminar Broome 2325, CSUCI Library |
| Jorge Garcia, Ph. D. | Mathemagics and Card Tricks |
Abstract. There are two types of card tricks in this world: cheating tricks and math tricks. Some of each will be presented and revealed. During this talk some math card tricks will be shown, explained and you will have the opportunity the practice them. Do you want to impress your friends? Then make sure you bring your own deck of cards as well as some friends. Young children are welcome! |
April 24, 2014 |
5:00 PM to 7:00 PM | Math Awareness Month El Dorado Hall, CSUCI |
| | Math Art Exhibit Judging & Ice Cream Reception |
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April 29, 2014 |
7:00 PM to 9:00 PM | Math Awareness Month Broome 1756, CSUCI Library |
| | Moneyball |
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September 10, 2014 |
4:30 PM to 5:20 PM | Math Colloquium 2530, CSU Channel Islands: Del Norte Hall |
| Dr. Cynthia Flores | Defining Lebesgue spaces and applications to Partial Differential Equations. |
Abstract. A classical problem in the theory of Partial Differential Equations (PDEs) is knowing when a solution to a given Initial Value Problem (IVP) exists. In this talk, we will motivate the definition of some useful Lebesgue spaces and their role in describing solutions to some IVPs. Students with knowledge of Calculus and Linear Algebra are especially encouraged to come. |
September 17, 2014 |
4:30 PM to 5:20 PM | Math 499 Colloquium Del Norte 2530, CSUCI |
| Dr. Jorge Garcia | The Risk Process and its Probability of Ruin |
Abstract. We will study the risk process, its definition and we will re-parametrize it to observe the ruin of the process in the long run by using large deviations. We will also estimate the probability of ruin of the process. |
November 19, 2014 |
4:30 PM to 5:20 PM | Math 499 Senior Colloquium Del Norte 2530, Del Norte Building |
| Ms. Caro Williams | Digital Media: New Ways of Seeing (and Doing) Mathematics |
Abstract. You are invited to attend this coming Wednesday to the talk Digital Media: New Ways of Seeing (and Doing) Mathematics It is Sixth Undergrad and Grad Seminars session. Abstract: Digital media offers new and unusual ways of seeing and doing mathematics, in everyday life and in the classroom. What mathematics “looks like” is being transformed by designers across the globe, and many of their products are relevant to formal contexts of mathematics learning. How do we incorporate these new media in our own mathematical lives and classrooms? In this presentation, a variety of games and applications will be demoed, and we will discuss their implications for classrooms and our own ways of thinking about math. Wed. November 19, 4:30-5:20 pm @ 2530 Del Norte, Refreshments will be served. |
December 4, 2014 |
6:00 PM to 9:00 PM | Student Presentations 2716, Bell Tower |
| Students of the class | Markov Chain and Stochastic Processes Final Prersentations |
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December 4, 2014 |
6:00 PM to 9:00 PM | Math 587 Bell Tower 2572, CSUCI Library |
| Students | Markov Chain and Stochastic Procceses |
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February 4, 2015 |
4:30 PM to 5:20 PM | Math 499 Colloquium 2530, CSUCI Del Norte Hall |
| J. Brooke Ernest | Making the Infinite Seem Finite |
Abstract. Projective Geometry originated as an artist's tool during the Renaissance era in an effort to formalize the process by which an artist could create a realistic drawing or painting of a three-dimensional object or scene. As time progressed, these procedures were formalized and then extended to become a branch of geometry. In general, projective geometry in two or three dimensions involves how objects on one line or plane, respectively, project onto a second line or plane through a center of projection. More specifically, projective geometry is the study of the aspects or properties of objects that remain invariant through projection, such as the cross ratio of a set of points. In this presentation I will further discuss the origins and significance of projective geometry and provide an exploration into the ways in which the invariance of the cross ratio can be utilized for determining the vanishing point in a sketch or painting, even when limited information is provided. |
February 4, 2015 |
6:00 PM to 7:00 PM | Math and CS Graduate Seminar , Del Norte Hall 2530 |
| Michael Soltys | Non-repetitive Strings over Alphabet Lists |
Abstract. ABSTRACT: String Algorithms have become prominent in light of applications to computational genetics. In particular, researchers are interested in finding patterns in DNA sequences, and relating those patters to a biological understanding of organisms. The simplest of all patterns is a repetition or lack thereof. This talk will present recent mathematical results related to string algorithms. A word is non-repetitive if it does not contain a sub-word of the form vv. Given a list of alphabets L = L1, L2, ..., Ln, we investigate the question of generating non-repetitive words w = w1w2 ... wn, such that the symbol wi is a letter in the alphabet Li. This problem has been studied by several authors (e.g., Grytczuk et al, Shallit, etc.), and it is a natural extension of the original problem posed and solved by A. Thue. While we do not solve the problem in its full generality, we show that such strings exist over many classes of lists. We also suggest techniques for tackling the problem, ranging from online algorithms, to combinatorics over 0-1 matrices, and to proof complexity. Finally, we show some properties of the extension of the problem to abelian squares. |
February 11, 2015 |
6:00 PM to 7:00 PM | Math 599 Seminar Presentation 2530, Del Norte |
| Dr. Brian Sittinger | Evaluating ζ(2m) via Telescoping Sums |
Abstract. Abstract: In any calculus course, the p-series 1/1^p + 1/2^p + 1/3^p + ... gives an important family of functions which is known to converge for p > 1. Also known as the zeta function ζ(p), Euler proved in 1739 that ζ(2m) is a rational multiple of π^(2m) involving the use of Bernoulli numbers. This classic result has been established by many different methods through the years. Inspired by a recent telescoping sum proof of ζ(2), I will present a new way to prove this result which uses nothing more than basic calculus and generating functions. |
February 11, 2015 |
4:30 PM to 5:20 PM | Math 499 Colloquium Del Norte 2530, CSUCI Del Norte |
| Dr. Christopher Towse | What happens when we Sin over and over, without end? |
Abstract. One way to analyze a function is to look at the behavior of that function under iteration - plugging the function back into itself. In this talk we will focus our attention on the sine function. A quick and simple analysis gives way to something more complicated when we consider sine as being defined by its power series. By controlling for the growth of the terms of the coefficients in the nth iterate, as functions of n, we find a surprising relationship to a family of rational functions. |
February 18, 2015 |
4:30 PM to 6:00 PM | Math 499 Colloquium Room 2350, Del Norte Building |
| Professor Roybal | Ingress and Graph Theory |
Abstract. Players link to other portals and if a suitable region is enclosed, then the enclosed area will be marked and has now been contained. We examine the properties of fields to compute some bounds and arrive at a sharp bound on the number of 3-cycles and a new proof that K sub n is non-planar for n greater than or equal to five. |
February 18, 2015 |
6:00 PM to 7:00 PM | Math and CS Graduate Seminar , Del Norte Hall 2530 |
| Herbert Lange | Vector Bundles on Algebraic Curves |
Abstract. We will introduce and explain the classical Brill-Noether theory as well as some aspects of Brill-Noether theory of vector bundles. Then we will report on two recent results obtained with P. Newstead, S.S. Park and V. Strehl. |
February 25, 2015 |
6:00 PM to 7:00 PM | Math and CS Graduate Seminar 2530, Del Norte Hall |
| Pawel Pilarczyk, Institute of Science and Technology,Austria | A combinatorial-topological method for automatic classification of global dynami |
Abstract. Abstract: A dynamical system is a mathematical concept for describing an object varying in time, using a fixed rule that depends on the current state of the object (and not on its past). Dynamical systems can be used to describe a variety of phenomena, such as the growth of a population or spreading of an infectious disease. In this talk, a computational framework will be introduced for automatic classification of global dynamics in a dynamical system depending on a few parameters (such as fertility rates or disease transmission rates). A set-oriented topological approach will be used, based on Conley's idea of a Morse decomposition, combined with rigorous numerics, graph algorithms, and computational algebraic topology. This approach allows to effectively compute outer estimates of all the recurrent dynamical structures encountered in the system (such as equilibria or periodic solutions), as perceived at a prescribed resolution. It thus provides a concise and comprehensive classification of all the dynamical phenomena found across the given parameter ranges. The method is mathematically rigorous (a.k.a. computer-assisted proof), and has a potential for wide applicability thanks to the mild assumptions on the system. Effort will be made to ensure that the talk is accessible to non-specialists in the discipline. > > Short bio: A Marie Curie Fellow at the Institute of Science and Technology Austria. Research interests: computational analysis of dynamical systems and computational methods in algebraic topology. MSc in Mathematics, MSc in Computer Science, PhD in Computational Mathematics. Conducts inter-disciplinary and cross-disciplinary research, with international collaborators. Post-doctoral experience at the Jagiellonian University (Krakow, Poland), Georgia Institute of Technology (Atlanta, GA), Kyoto University (Japan), and the University of Minho (Braga, Portugal). Author of 16+ publications in peer-refereed academic journals. Delivered 20 talks invited to international conferences and workshops, and 30+ seminar talks at academic institutions in several countries. |
March 25, 2015 |
6:00 PM to 7:00 PM | Math Graduate Seminar 2530, Del Norte |
| Prof. AJ Bieszczad | Identification of Location Cues for Robot Navigation with a Laser Scanner and Py |
Abstract. In this talk, I report on our attempts to build a cue identifier for mobile robot navigation using machine learning techniques. We use simulated 2D LIDAR laser scanner data to identify techniques that are most promising, and then apply the model to data in a larger dimension space. We apply various levels of noise to the ideal scanner images of environmental cues to accommodate laser inaccuracy. Additionally, we consider various points of view. Our results indicate that good models can be built with both backpropagation neural network applying Broyden-Fletcher-Goldfarb-Shannon (BFGS) optimization and regularization, and with Support Vector Machines (SVMs) assuming that data shaping took place with a normalization followed by a Principal Component Analysis (PCA). We show that expanding data dimension thirty-fold has acceptable impact of the training time of SVM models. We will use iPython Notebook with the scientific environment based on NumPy, SciPy, Matplotlib, Scikit Learn, and Neurolab, to illustrate the experiments. |
April 15, 2015 |
4:30 PM to 5:45 PM | Math 499 Colloquium Del Norte Hall 2350, Del Norte Hall |
| Veronica M. Solorzano | Twenty First Century Learners |
Abstract. The ultimately goal for educators is the success of all students as twenty first century learners. Educators use various strategies to help them obtain this goal. For students to obtain success, educators have to facilitate the learning process. They have to establish clear expectations. A safe learning environment, where students are encouraged to be risk takers, needs to be created with agreed norms. |
April 22, 2015 |
4:30 PM to 5:20 PM | Math 499 Colloquium 2350, CSUCI Del Norte |
| Professor Geoffrey Buhl | From the White Elephant Game to Congressional Committee Assignments: Valuing Tra |
Abstract. If we loosen some of the rules of the White Elephant gift exchange game, we can create a version of the game that mirrors the exchange of seats on standing committees in the House of Representatives. The mathematical question of this talk is: how can we accurately ascribe values for traded goods based solely on exchange data and/or stated preference data. The answer when applied to House of Representatives gives insight into the nature of the polarization in congress around the appropriations process (or at least that's what Political Scientists tell me). |
July 18, 2015 |
4:05 PM to 5:00 PM | ajhdskjahdskas Broom Library 2325, CSUCI Library |
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