| February 17, 2007 |
9:00 AM to 5:00 PM
 | SAGE at UCLA
, We will meet at Starbucks in Newbury Park near Kohls for car pool at 8am (Exit Boarchard and go alon |
| | Institute of Pure and Applied Math UCLA | Software for Algebra and Geometry Experimentation |
Abstract. 460 Portola Plaza Los Angeles CA 90095-7121 Check info and register (free) http://www.ipam.ucla.edu/programs/sage2007/ EVENT at the Institute for Pure and Applied Mathematics (IPAM) at UCLA. Phone: 310 825-4755 |
| 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 01, 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 03, 2007 |
9:00 AM to 5:00 PM
| Mathematical Association of America
Pomona College, Rose Hill Theatre, Room 15, We will meet at Starbucks in Newbury Park near Kohls for car pool at 7:27 am (Exit Boarchard and go |
| | Pomona Collage | MAA meeting |
Abstract. Meeting of California-Nevada Section and poster session Registration at Smith Campus Center, Pomona College, Clearmont If you give your name to Prof. Ivona or Prof. Cindy by Monday February 19th, the department will pay your registration. Poster abstracts due on Friday to Prof. Ivona or Prof. Cindy!!!! Los Angeles CA 90095-7121 Check info and register (free) http://www.ipam.ucla.edu/programs/sage2007/ EVENT at the Institute for Pure and Applied Mathematics (IPAM) at UCLA. Phone: 310 825-4755 |
| March 07, 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 08, 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 |
| |
| 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 |
| |
| April 04, 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 05, 2007 |
2:30 PM to 3:30 PM
| Undergraduate Seminar
BT- 2515, CSUCI Bell Tower |
| | Goeff Buhl (CSUCI) | TBA |
| |
| April 11, 2007 |
7:00 PM to 8:00 PM
| Graduate Seminar
BTW 1302, CSUCI Bell Tower |
| | Jo Hardin (Pomona College) | TBA |
| |
| 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 |
| |
| 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 |
| |
| April 28, 2007 |
11:00 AM to 3:00 PM
| Math Club Picnic
, Mission Oaks Park, Camarillo |
| | | |
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 01, 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 02, 2007 |
7:00 PM to 8:00 PM
| Graduate Seminar
BT-1302, CSUCI Bell Tower |
| | Serban Raianu (CSU Dominguez Hills) | TBA |
| |
| May 03, 2007 |
2:30 PM to 3:30 PM
| Graduate Seminar
BT-2515, CSUCI Bell Tower |
| | Student presenters | Senior Colloquium and CSU Research Competition presentations |
| |
| May 09, 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 |
| |
| 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 |
| |
| 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 01, 2008 |
1:45 PM to 2:20 PM
| Mathematics Fridays Seminar
BTW 1684, CSUCI Bell Tower |
| | Vania Mascioni | Graphs, Metric Spaces and Probability |
| |
| February 01, 2008 |
3:30 PM to 4:00 PM
| Mathematics Graduate Seminar
BTW 1611, CSUCI Bell Tower |
| | Stefan Erickson | Elliptic Curve Cryptography. |
| |
| February 08, 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 08, 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 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 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 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 09, 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 04, 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 04, 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 04, 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 01, 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 06, 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 06, 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 06, 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 in infinity, 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 06, 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 06, 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 06, 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 07, 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 07, 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 07, 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 07, 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 07, 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 07, 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 08, 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 08, 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 08, 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 08, 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 08, 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 09, 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 09, 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 09, 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 09, 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 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 06, 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.” |
SAGE at UCLA