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  • Ken Millett (UCSB)

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

    Gordian Knots According to the legend of Phrygian Gordium, Alexander the Great cut the ``Gordian Knot’’ and eventually went on to rule Asia thereby fulfilling an ancient prophecy.  Where there are […]

  • Kenneth Millett (University of California, Santa Barbara)

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

    Gordian Knots According to the legend of Phrygian Gordium, Alexander the Great cut the ``Gordian Knot’’ and eventually went on to rule Asia thereby fulfilling an ancient prophecy.  Where there are […]

  • Nano Knot theory, methods to study tiny knot in nature

    Freeberg Forum, LC 62, Kravis Center, CMC

    Knotting in living organisms is a feature that is visible to the careful observer of biological life.  Since the 1970’s, with the increasing power of electron microscopes, scientists have been able […]

  • Discrepancy theory and related questions (Dmitriy Bilyk, University of Minnesota)

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

    The talk will concentrate on open questions related to the optimal bounds for the discrepancy of an $N$-point set in the $d$-dimensional unit cube. The so-called star-discrepancy measures the difference between the actual and expected number of points in axis-parallel rectangles, and thus measures the equidistribution of the set. This notion has been explored by H. Weyl, K. Roth, and many others, […]

  • Energy optimization on the sphere

    Freeberg Forum, LC 62, Kravis Center, CMC

    Many problems, arising in discrete and metric geometry, signal processing, physics, etc, can be reformulated as questions of optimizing discrete or continuous measures. We shall review some of such conjectures, […]

  • Applied Math Talk: Approaches to modeling dispersal and swarm behavior at multiple scales given by Prof. Christopher Strickland ( The University of Tennessee, Knoxville)

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

    Biological invasions often have outsized consequences for the invaded ecosystem and represent an interesting challenge to model mathematically. Landscape heterogeneity, non-local or time-dependent spreading mechanisms, coarse data, and air or […]

  • Graph coloring reconfiguration systems (Prateek Bhakta, University of Richmond)

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

    For k >= 2, the k-coloring graph C(G) of a base graph G has a vertex set consisting of the proper k-colorings of G with edges connecting two vertices corresponding to two different colorings of G if those two colorings differ in the color assigned to a single vertex of G. A base graph whose […]

  • GEMS Workshop: The Mathematics of Reapportionment and Census Data with Professor Adolfo Rumbos of Pomona College

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

    TOPIC: The Mathematics of Reapportionment and Census Data Every ten years, the United States Census Bureau conducts a count of all persons living in the United States; one of those population counts will be carried out this year (2020). This Census is mandated by the US Constitution; it counts all people residing in the United […]

  • (Cancelled!!) Applied Math Talk: Stable planar vegetation stripe patterns on sloped terrain in dryland ecosystems given by Prof. Paul Carter (University of Minnesota)

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

    In water-limited regions, competition for water resources results in the formation of vegetation patterns; on sloped terrain, one finds that the vegetation typically aligns in stripes or arcs. The dynamics […]

  • Finding bases of new infinite dimensional representations of $\mathfrak{osp}(1|2n)$ ( Dwight Williams, UT Arlington)

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

    The orthosymplectic Lie superalgebra $\mathfrak{osp}(1|2n)$ is rich in representation theory: while the finite dimensional $\mathfrak{osp}(1|2n)$-module category is semisimple, the study of infinite dimensional representations of $\mathfrak{osp}(1|2n)$ is wide open. In this talk, we will define the orthosymplectic Lie superalgebras, realize $\mathfrak{osp}(1|2n)$ as differential operators on complex polynomials, and describe the space of polynomials in commuting […]