• GEMS April 4th Session

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

    This GEMS session will be facilitated by Evan Rosenman from Claremont McKenna College Title: Fair Votes? The Mathematics of Elections and Redistricting Abstract: How do we know if an election is fair? […]

  • Tropical linear series and matroids (Dagan Karp, HMC)

    Estella 2099

    In this talk, I'll attempt to give a friendly introduction to tropical linear series and explore their relationship to matroid theory. Along the way, we'll stop to admire the beautiful view from enumerative geometry and combinatorics. This is joint work with Chih-Wei Chang, Matthew Dupraz, Hernan Iriarte, David Jensen, Sam Payne, and Jidong Wang, and also with […]

  • CCMS Colloquium: Course Preview

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    Please join us for the course preview of all the math courses for Fall 2026. Join us to hear from faculty about the exciting math courses being offered this upcoming fall. […]

  • Extremal Eigenvalues of Weighted Steklov Problems (Chiu-Yen Kao, CMC)

    Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

    Abstract: We study the optimization of Steklov eigenvalues with respect to a boundary density function ρ on a bounded Lipschitz domain. We investigate the minimization and maximization of a Steklov eigenvalue over admissible densities satisfying pointwise bounds and a fixed integral constraint. We establish the existence of optimal solutions and provide structural characterizations: minimizers are […]

  • Knot complements, series invariants and Lie superalgebra (John Yoonseok Chae)

    Estella 2099

    Inspired by the categorification program for a numerical invariant of three-manifolds, series invariants for closed manifolds and for knot complements were introduced. This in turn motivated an extension of the series invariant of the former case to Lie superalgebras. It was recently generalized to knot complements. In this talk, we review the original series invariants […]

  • CCMS Colloquium: Ryan Moruzzi (CSU Northridge)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    CCMS Colloquium invites you to a talk by Ryan Moruzzi (CSU Northridge) Title:  Exploring Leaky Forcing Through Hopi Rectangle graphs Abstract:  Leaky forcing, introduced in 2019, is a graph-coloring process […]

  • The Secret Life of Turbulent Fluids (Vincent Martinez, Caltech)

    Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

    Abstract: Turbulence influences our lives in a multitude of ways, ranging from the mundane (when we stir milk into our coffee) to the spectacular (the formation of galaxies). It is a great achievement of the human intellect that we are able to locate fundamental mechanisms shared by phenomenon with such a dramatic difference in scale […]

  • Diophantine avoidance, primitive elements, and normal basis theorem (Sehun Jeong, CMC)

    Estella 2099

    Diophantine avoidance has been studied by several authors in recent years. This refers to effective results on existence of points of bounded size in a given algebraic set avoiding some specified subsets. The famous primitive element theorem states that every number field K is of the form Q(a) for some element a in K. From the proof of […]

  • CCMS Colloquium: Manuel Reyes (UCI)

    Davidson Lecture Hall, CMC 340 E 9th St, Claremont, CA, United States

    CCMS Colloquium invites you to a talk by Manuel Reyes (UCI) Title: When XY is not equal to YX Abstract:  The commutative property of algebra states that the order of multiplication makes no difference: XY = YX. […]

  • From ICON to GenICON: In-Context Operator Learning with Uncertainty Quantification (Siting Liu, UCR)

    Emmy Noether Room, Estella 1021, Pomona College, 610 N. College Ave., Claremont, CA, United States

    Abstract: I will introduce In-Context Operator Networks (ICON), a framework in which a single neural network learns solution operators for differential equations directly from a few prompted input-output examples at inference time, without any weight updates. ICON acts as a few-shot learner across forward and inverse problems for ODEs, PDEs, and mean-field control. I will […]

  • Coordinate ring of the universal centralizer via Demazure operators (Tom Gannon, UCR)

    Estella 2099

    One of the key objects used in Ngo's proof of the fundamental lemma is the group scheme of universal centralizers associated to a split reductive group G. In this talk, we'll discuss forthcoming work, joint with Victor Ginzburg, which describes the coordinate ring of the group scheme of universal centralizers in terms of the root datum of G using Demazure (or divided […]