The Mathematics Department holds regular seminars on a variety of topics. Please see below for further details.
Seminars
Seminar  Meeting Details  Title & Abstract 

Differential Equations Seminar  TBA Speaker: Ming Chen (University of Pittsburgh) 

Algebra Seminar  TBA Speaker: Sudipta Das, Arizona State University 

Differential Equations Seminar  TBA Speaker: Roberto Nunez (MU) 

Algebra Seminar  TBA Speaker: Thomas Polstra, University of Alabama 

Algebra Seminar  TBA Speaker: Sandra Rodríguez Villalobos, University of Utah 

Differential Equations Seminar  TBA Speaker: Gabriela Jaramillo (University of Houston) 

Data Seminar  Homotopies for variational inference and approximate synthesis For parameterized systems, one standard problem is to determine the set of parameters which "best" fits given data. Two examples of this will be summarized in this talk, both of which can be solved using homotopies. The first is variational inference in which one searches in a parameterized family of probability distributions for a probability distribution that best fits the given data. The second is synthesizing a linkage whose coupler curve best approximates the given data. This talk is joint work with Emma Cobian, Fang Liu, and Daniele Schiavazzi (variational inference) and Aravind Baskar and Mark Plecnik (approximate synthesis). Speaker: Jonathan Hauenstein (Notre Dame) 

Algebra Seminar  Extremal singularities in positive characteristic What is the most singular possible (reduced) hypersurface in positive characteristic? One answer to this question comes from finding a lower bound on an invariant called the Fpure threshold of a polynomial in terms of its degree. In this talk, I'll introduce the Fpure threshold and then discuss a class of hypersurfaces which obtain a minimal Fpure threshold. We’ll further investigate some of their surprising algebraic and geometric properties including their connection to surfaces with many lines. This talk is based on joint work with Zhibek Kadyrsizova, Jennifer Kenkel, Jyoti Singh, Karen E. Smith, Adela Vraciu, and Emily E. Witt. Speaker: Janet Page, North Dakota State University 

Differential Equations Seminar  Gravity waveborne vortices In this talk, we’ll present some recent work on traveling waves in water that carry vortices in their bulk. We show that for any supercritical Froude number (nondimensionalized wave speed), there exists a continuous oneparameter family of solitary waves with a submerged point vortex in equilibrium. This family bifurcates from an irrotational laminar flow, and, at least for large Froude numbers, it extends up to the development of a surface singularity. These are the first rigorously constructed gravity waveborne point vortices without surface tension, and notably our formulation allows the free surface to be overhanging. Through a separate numerical study, we find strong evidence that many of the waves do indeed have an overturned air—water interfaces. Finally, we prove that generically one can perform a desingularization procedure to obtain a solitary wave with a submerged hollow vortex. Physically, these can be thought of as traveling waves carrying spinning bubbles of air in their bulk. We will also discuss some work in progress on the existence of imploding vortex configurations that experience finitetime selfsimilar collapse. This is joint work with Ming Chen, Kristoffer Varholm, and Miles Wheeler. Speaker: Samuel Walsh (MU) 

Data Seminar  Density estimation for Gaussian mixture models Density estimation for Gaussian mixture models is a classical problem in statistics that has applications in a variety of disciplines. Two solution techniques are commonly used for this problem: the method of moments and maximum likelihood estimation. This talk will discuss both methods by focusing on the underlying geometry of each problem.
Full seminar calendar: https://sites.google.com/view/mathdatamizzou/home Speaker: Julia Lindberg 