Department of Mathematics

Nicolle Gonzalez, UC Berkeley Catalan numbers are among the most ubiquitous objects in mathematics, arising naturally in combinatorics, representation theory, geometry, and many other areas. Although there are various polynomial generalizations of these numbers, particularly fruitful are the so-called (q,t)-Catalan polynomials.…

Xialong Li, Wichita State University In 1986, Nishikawa conjectured that a closed Riemannian manifold with positive (or nonnegative) curvature operator of the second kind is diffeomorphic to a spherical space form (or a Riemannian locally symmetric space, respectively). In this talk, I will begin with an overview of sphere…

Valentino Tosatti, NYU K3 surfaces are a class of compact complex manifolds that enjoys many special properties and play an important role in several areas of mathematics. I will discuss a new interplay between the geometry of K3 surfaces equipped with their Calabi-Yau metrics, and dynamics of holomorphic diffeomorphisms of these…

Eric Cytrynbaum, UBC In this talk, I’ll discuss two recent lines of research in my group, related by the common element of being a multiscale problem of spatial organization. (1) For over a century, the development and replacement of reptile teeth has been of interest in comparative anatomy and evolutionary biology due to the…

  https://www.ams.org/meetings/sectional/2304_program.html MS Sectional Meeting Program Current as of Friday, October 25, 2024 03:30:05 Deadlines Timetable Abstract submission Registration/Housing/Etc. Special Event or Lecture   Inquiries: meet@ams.org 2024 Fall Western Sectional Meeting…

UCR Math's New VAPs will speak to introduce themselves. Please join us. Math VAP Page

Antoine Song, Caltech Minimal surfaces are surfaces which locally minimize the area, and are a classical topic in Differential Geometry. This talk is going to be about minimal surfaces in Hilbert spheres. I will motivate their study by explaining how these objects provide a new way to understand fundamental results like Mostow's…

B. Sury, Indian Statistical Institute Bangalore, India The classical Diophantine problem of determining which integers can be written as a sum of two rational cubes has a long history, from early works of Sylvester, Satg\´{e}, Selmer etc. and, up to recent work of Alp\”{o}ge-Bhargava-Shnidman. A conjecture attributed to Sylvester…