Department of Mathematics

Anton Thalmaier (University of Luxembourg) Abstract: We explain some new formulas for the Hessian of the heat semigroup generated by the Laplace-Beltrami operator on a Riemannian manifold and describe geometric applications related to Calderón-Zygmund type inequalities. Our approach relies on probabilistic methods from Stochastic…

Dr. Jeungeun Park, State University of New York at New Paltz Abstract: Bacterial swimming mediated by flagellar rotation is one of the most ubiquitous forms of cellular locomotion, and it plays a major role in many biological processes. A typical swimming path of flagellated bacteria looks like a random walk with no purpose, but…

Dr. David Damanik, Rice University In this talk we discuss the topological structure of the spectrum of almost periodic Schr\"odinger operators, both in one dimension and in higher dimensions. The problem is quite well understood in the one-dimensional case and the talk will briefly describe some of the known results. The…

Dr. Thomas Y. Hou, Applied Math Department, Caltech Whether the 3D incompressible Euler and Navier-Stokes equations can develop a finite time singularity from smooth initial data is one of the most challenging problems in nonlinear PDEs. In an effort to provide a rigorous proof of the potential Euler singularity revealed by Luo-…

A workshop designed to prepare undergraduate students for proof-based mathematics. AMP is a 4-week program that will be held July 5th - July 30th. It will be held remotely. You must have completed the full Math 9 sequence (or equivalent) to apply for AMP. The application form can be accessed HERE. You will be required to commit…

  The theme of UCR’s Third Annual Workshop on “Excellence and Diversity in Mathematics” is “Women in Combinatorics and Representation Theory”. It will take place on May 15-16, 2021 online. For program details and to register online, please visit https://sites.google.com/g.ucla.edu/ucr-diversity-2021/

Functional Analysis, Mathematical Physics, and Dynamical Systems (FAMPDS) Winter 2021 Virtual Workshop is a collaborative endeavor by the Functional Analysis and Mathematical Physics Interdepartmental Research Group (FAMP) of California State University, Fresno, the Fractal Research Group (FRG) and Mathematical Physics and…

Denise Kirschner, PhD, Co-Director, Center for Systems Biology, Microbiology and Immunology, University of Michigan Medical School Abstract: Tuberculosis (TB) is one of the world’s deadliest infectious diseases. Caused by the pathogen Mycobacterium tuberculosis (Mtb), the standard regimen for treating TB consists of treatment …

Dr. Jonathan Montaño, New Mexico State University In how many points does a curve in the plane intersect a random straight line? The answer to this question is an invariant of the curve called "degree". The notion of degree extends to higher dimensional shapes that are defined in terms of polynomials (varieties) and it is…

Michael Harris, Department of Mathematics, Columbia University Abstract:  The talk will be an introduction to the Langlands program and to some of the preoccupations of contemporary algebraic number theory.I will concentrate on the recent breakthrough of Vincent Lafforgue in defining a Langlands correspondence for reductive…