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  • Diffusion, Social Networks, and Logic (Pavel Naumov, CMC)

    Emmy Noether Room, Millikan 1021, Pomona College 610 N. College Ave., Claremont, California

    Once a new commercial product, technology, political opinion, or social norm is adopted by a few people, these few often put peer pressure on others to consider adopting it as […]

  • Inversions for reduced words (Sami Assaf, USC)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    The number of inversions of a permutation is an important statistic that arises in many contexts, including as the minimum number of simple transpositions needed to express the permutation and, […]

  • Fall 2018 Poster Session

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    CLAREMONT CENTER for MATHEMATICAL SCIENCES Fall 2018 Poster Session Click here for poster abstracts. Computing Eigenmodes of the Laplace-Beltrami Operator by Using Radial Basis Functions by Vladimir Delengov, Chiu-Yen Kao Claremont Graduate University Covariance-based Dissimilarity Measures Applied to Clustering Wide-sense Stationary Ergodic Processes by Nan Rao, Qidi Peng, Ran Zhao Claremont Graduate University Generalized Covariation […]

  • Quandle coloring quivers (Sam Nelson, CMC)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    Given a finite quandle $X$, a set $S \subset \mathrm{Hom}(X,X)$ of quandle endomoprhisms, and an oriented knot or link $L$, we construct a quiver-valued invariant of oriented knots and links. […]

  • Snow Business: Scientific Computing in the Movies and Beyond (Joseph Teran, UCLA)

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    New applications of scientific computing for solid and fluid mechanics problems include simulation of virtual materials in movie visual effects and virtual surgery. Both disciplines demand physically realistic dynamics for materials like water, smoke, fire, and soft tissues. New algorithms are required for each area. Teran will speak about the simulation techniques required in these fields and […]

  • Reaction-Diffusion Equations under Perturbations of the Domain (Professor Jose Arrieta, Universidad Complutense de Madrid, Spain)

    Shanahan 3465, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

    We analyze the behavior of the asymptotic dynamics of dissipative reaction-diffusion equations with Neumann boundary conditions when the domain where the equation is posed undergoes certain perturbation. We will focus on the behavior of the stationary solutions, their local unstable manifolds and the attractors. We will consider "regular" perturbations of the domain, that is, perturbations […]

  • An Introduction to the Sato-Tate Conjecture (Edray Goins, Pomona College)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    In 1846, Ernst Eduard Kummer conjectured a distribution of values of a cubic Gauss sum after computing a few values by hand.  This was forgotten about for nearly 100 years until John von Neumann and Herman Goldstine attempted to verify the conjecture as a way to test the new ENIAC machine in 1953.  They found […]

  • Modeling Mechanisms of Ovulatory (Dys)Function (Erica Graham, Bryn Mawr College)

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    A normally functioning menstrual cycle requires significant crosstalk between hormones originating in ovarian and brain tissues. Reproductive hormone dysregulation may disrupt function and can lead to infertility, as occurs in the common endocrine disorder polycystic ovarian syndrome (PCOS). In this talk, I will discuss a mathematical model of the ovulatory cycle that accounts for mechanisms […]

  • GEMS Workshop: Knots and how to tell them apart (Professor Sam Nelson, Claremont McKenna College)

    Shanahan 1480, Harvey Mudd College 301 Platt Blvd., Claremont, CA, United States

    WHAT IS GEMS: The Gateway to Exploring Mathematics program (GEMS) is a series of workshops that helps excite the interests and curiosity of young students in mathematics and science GEMS meets once a month on a Saturday morning from 10:00 AM to 12:00 PM GEMS is designed to reach 8th, 9th and 10th grade students […]

    Free

  • State Polytopes of Combinatorial Neural Codes (Rob Davis, HMC)

    Millikan 2099, Pomona College 610 N. College Ave., Claremont, CA, United States

    Combinatorial neural codes are 0/1 vectors that are used to model the co-firing patterns of a set of place cells in the brain. One wide-open problem in this area is […]

  • Applications of Cayley Digraphs to Waring’s Problem and Sum-Product Formulas (Yesim Demiroglu, Harvey Mudd)

    Argue Auditorium, Pomona College 610 N. College Ave., Claremont, CA, United States

    Abstract: In this talk, we first present some elementary new proofs (using Cayley digraphs and spectral graph theory) for Waring's problem over finite fields, and explain how in the process of re-proving these results, we obtain an original result that provides an analogue of Sarkozy's theorem in the finite field setting (showing that any subset […]