A big area in combinatorics over the last several decades has been the study of pattern-avoiding permutations, whose enumeration is exciting and mysterious. Alternating sign matrices (ASMs) are a generalization of permutations whose study in combinatorics has also been exciting and mysterious. In this talk, I will explain some new asymptotic results involving the number […]
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Scott Taylor (Colby College) Title: Genus 1 Bridge Number of Satellite Knots in Lens Spaces Abstract: In the mid-1950s, Horst Schubert introduced two ideas which turned out to have lasting impact in knot theory: satellite knots and bridge number. A Satellite knot […] |
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Speaker: Scott Taylor, Professor of Mathematics, Colby College, Maine Title: Sums and Symmetries Abstract: Adding is one of the fundamental mathematical operations and we like it so much, we can't […] |
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This GEMS session will be facilitated by Professor Bahar Acu from Pitzer College. Title: The Hole Truth: When is a Coffee Mug a Donut? Abstract: In mathematics, topology is the study of properties […] |
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Title: Randomly pivoted Cholesky: Fast, accurate matrix approximation for scientific machine learning Abstract: Low-rank approximation of positive semidefinite matrices is a basic problem in computational mathematics, with many applications to machine learning and scientific computing. Existing approaches for this problem largely fall into two categories: simple, fast, but sometimes inaccurate methods and sophisticated, slower methods […] |
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Large Language Models like ChatGPT rely on surprisingly familiar mathematics. This talk will explore how ideas from (linear) algebra, number theory and combinatorics appear — both directly and indirectly — in the structure and behavior of these models. Along the way, we’ll touch on themes like structure, symmetry, and scale, and consider how abstract mathematical […] |
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Fall 2025 Course Preview Session Moderator: Lenny Fukshansky, Professor of Mathematics, Claremont McKenna College, CA Slide Link: https://docs.google.com/presentation/d/142NF1vUazpGNLF0pfLKc0qhkv4VoMQstSvZ0yKtMfNE/edit?usp=sharing |
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Title: Erlang-Distributed SEIR Epidemical Models Abstract: We examine the effects of different dynamics in epidemiological models, focusing on two key approaches. The first model incorporates reaction-diffusion dynamics, where susceptible individuals avoid areas with high concentrations of infected individuals. The second model divides exposed and infectious individuals into symptomatic and asymptomatic subclasses. Our findings emphasize the […] |
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A Jacobian variety is a principally polarized abelian variety (PPAV) associated with a smooth complex algebraic curve. For dimensions less than or equal to 3, every PPAV is either a Jacobian or a product of Jacobians. The Schottky problem concerns dimensions 4 and greater: which PPAVs are Jacobians? The Schottky problem can also be posed […]
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Sierra Knavel (Georgia Tech) Title: Betti Numbers and Indecomposability of Genus-2 Lefschetz Fibrations Abstract: Symplectic 4-manifolds, smooth […] |
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Speaker: Naneh Apkarian Professor of Mathematics, Arizona State University, Arizona Title: Student Success in an Interactive STEM Ecosystem Abstract: This talk begins with a discussion of the multifaceted nature of […] |
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Title: Modeling viral STI epidemics Abstract: We will describe an SIR model of viral sexually transmitted infections in a population structured by sex and sexual preference and its validation in […] |
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The recognition that theoretical models of natural language syntax have robust algebraic foundations is longstanding. Both the syntactic structures proposed (trees, semirings, etc.) and metrics developed to understand them (the […]
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: Sam Nelson (Claremont McKenna College) Title: Virtual Biquandle Cocycle Quiver Representations Abstract: We construct a quiver representation […] |
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Speaker: Andrew J. Bernoff, Professor of Mathematics, Harvey Mudd College Abstract: An outstanding challenge in mathematical biology is using laboratory and/or field observations to tune a model’s functional form and […] |
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Speaker: Ana Maria Kenney, Assistant Professor, Department of Statistics, UC Irvine Title: Distilling heterogeneous treatment effects: Stable subgroup estimation in causal inference Abstract: Recent methodological developments have introduced new black-box […] |
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Title: Randomized Kaczmarz Methods for Corrupted Tensor Linear Systems Abstract: Recovering tensor-valued signals from corrupted measurements is a central problem in various applications such as hyperspectral image reconstruction and medical […] |
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We especially welcome all undergraduates and graduate students to attend topology seminar! Speaker: David Bachman (Pitzer College) Title: Learning optimal knot projections Abstract: We use techniques from Reinforcement Learning to […] |
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CCMS Colloquium invites you to the Second Barbara Beechler Lecture by Professor Deanna Needell, Professor of Mathematics, Dunn Family Endowed Chair in Data Theory Executive Director, Institute for Digital Research […] |
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