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  • Topology Seminar: Sam Nelson (CMC)

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

    Title: Biquandle Brackets and Knotoids Abstract: Biquandle brackets are a type of quantum enhancement of the  biquandle counting invariant for oriented knots and links, defined by a set of skein […]

  • Data-driven multiscale modeling of cell fate dynamics

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

    Cells make fate decisions in response to dynamic environmental and pathological stimuli as well as cell-to-cell communications. Recent technological breakthroughs have enabled to gather data in previously unthinkable quantities at […]

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  • Adinkras: Snapshots of Supersymmetry (Jordan Kostiuk, Brown University)

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

    An “Adinkra” is a graphical tool to describe a branch of particle physics known as supersymmetry. Understanding the mathematics of Adinkras shines a light on the underlying physics, as well […]

  • Combinatorics and representation theory of Temperley-Lieb algebras (Zajj Daugherty, CUNY)

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

    The classical, one-boundary, and two-boundary Temperley-Lieb algebras arise in mathematical physics related to solving certain rectangular lattice models.They also have beautiful presentations as "diagram algebras", meaning that they have basis […]

  • Topology Seminar: Jesse Levitt (USC)

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

    Title: Understanding Structure in the Single Variable Knot Polynomials Abstract: We examine the dimensionality and internal structure of the aggregated data produced by the Alexander, Jones, and Z0 polynomials using topological data analysis and dimensional reduction […]

  • Freeways and Circle Packing

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

    The beauty of mathematics is often encountered when one discovers that two apparently very different phenomena actually share a common origin. I will discuss such a surprising connection between two […]

  • Applied Math Seminar: Mathematical model of Hematopoietic cell differentiation from single-cell gene sequencing data (Prof. Heyrim Cho ,UCR)

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

    Recent advances in single-cell gene sequencing data and high-dimensional data analysis techniques are bringing in new opportunities in modeling biological systems. In this talk, I will discuss different approaches to develop mathematical models from single-cell data. Particularly for high-dimensional single-cell gene sequencing data, dimension reduction techniques are applied to find the trajectories of cell states […]

  • Matroids: a unified theory of independence (Mauricio Gomez Lopez, University of Oregon)

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

    In this talk, I will give an overview of the theory of matroids. These are mathematical objects which capture the combinatorial essence of linear independence. Besides providing some basic definitions of this theory, I will discuss several examples of matroids and explain some connections with optimization. Also, in this talk, I will introduce matroid polytopes, […]

  • Topology Seminar: Mauricio Gomez Lopez (U. Oregon)

    Title: Cobordism Categories and Spaces of Manifolds. Abstract: Cobordisms have been one of the central objects in topology since the pioneering work of Rene Thom, which provided the first link between manifolds and homotopy theory. In more recent years, there has been much focus on cobordism categories. These play a fundamental role in the study […]