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  • Introduction to theory of Euclid graphs (Sin-Min Lee, SJSU)

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

    In Euclidean geometry, the sum of  two sides of any  triangle is greater than the third side. We  introduce this idea to labeling of graphs. A (p,q)-graph G=(V,E) is said to […]

  • 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 relations with coefficients which are functions of biquandle colors at a crossing. In this talk we use biquandle brackets to enhance the biquandle counting matrix […]

  • 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 single cell level, starting to suggest that cell fate decision is much more complex, dynamic, and stochastic than previously recognized. Multiscale interactions, sometimes through cell-cell […]

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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 as helps to explore new areas of mathematics. After describing the basic structure of Adinkras, I will discuss some of these interesting interactions between mathematics […]

  • Why biologists cant stop saying single-cell and how this is a distinctly mathematical refrain

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

    Single-cell genomics is a catch phrase for numerous new technologies and methods that allow for probing cells at genome scale. I will explain what this means and describe some examples that illustrate the excitement in this new domain. While single-cell genomics technologies draw on methods from a variety of disciplines such asf biology, chemistry and […]

  • 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 techniques. By examining several families of knots, including over 10 million distinct examples, we find that the Jones data is well described as a three […]

  • 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 apparently unrelated mathematical objects. One is purely combinatorial: the number of ways one can drive from USC to the Claremont Colleges. The other one is […]

  • GEMS Workshop: Symmetry with Professor Michael Orrison, from Harvey Mudd College

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

    TOPIC: Symmetry Symmetry seems to be an important idea in mathematics, but how do mathematicians think about symmetry? In this workshop, we’ll talk about mathematical objects called groups, see how they are used to describe symmetry, and then put them to work to help us answer some nontrivial counting problems. WHAT IS GEMS: The Gateway to […]

  • 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, […]