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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 […]
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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 of shapes that remain unchanged when shapes are bent, stretched, or deformed—so long as they aren’t torn or punctured. To a mathematician studying topology, a […] |
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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 4-manifolds equipped with a closed, nondegenerate 2-form, arise naturally in classical mechanics and have become central objects of study in topology. Following foundational work by […] |
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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 the simple SI case from HIV data incidence. We will also use the model to establish a plausible structure of the U.S. population by sexual […] |
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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 Chomsky hierarchy, partial orders, and so forth) closely resemble structures and systems familiar to theoretical mathematicians (groups, rings, fields, ...). Despite the underlying mathematical tools, […]
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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 valued invariant of virtual knots and links using virtual biquandle homology. |
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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 parameter values. These problems lie at the intersection of dynamical systems and data science. In this talk I will discuss an ongoing project developing models […] |
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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 approaches to better estimate heterogeneous treatment effects; however, these methods fall short of providing interpretable characterizations of the underlying individuals who may be most at […] |
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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 imaging. This talk considers tensor linear systems of the form AX = B, that contain observations potentially affected by sparse, large-magnitude corruptions. A quantile-based randomized […] |
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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 find knot projections which minimize crossing number. |
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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 and Education (IDRE) at UCLA. Title: Fairness and Foundations in Machine Learning Abstract: In this talk, we will address areas of recent work centered around the […] |
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