Department of Mathematics

Challenges and Advantages of a Principle-Based Calculus Course Speaker: Dr. David Weisbart, Department of Mathematics, University of California at Riverside Abstract: We will discuss what it means for a course to be principle-based and describe an underlying philosophy of teaching and learning that supports principle-based…

Fanghua Lin, Courant Institute, NYU Energy minimizing harmonic maps from a three-ball into the two-sphere are well understood. A natural existence question for a continuous harmonic map with a suitably given Dirichlet boundary value or in a given homotopic class [a problem that I learned from R.Schoen in mid-80s] remains open.  …

Nicola Garofalo, University of Padova, Italy & Arizona State University A basic problem in analysis is the Dirichlet problem for the Laplacian in the upper half-space. It is a classical fact that the trace of the Neumann derivative of the solution equals the half-Laplacian of the boundary datum. In a seminal 2007 paper…

Po-Ning Chen, UCR Abstract: The definition of angular momentum in general relativity has been a subtle issue since the 1960s, due to the 'supertranslation ambiguity'. In this talk, we will discuss how the mathematical theory of quasilocal mass and angular momentum leads to a new definition of angular momentum at null infinity…

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/