Department of Mathematics

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 a…

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…

Matt Baker, Department of Mathematics, Georgia Tech Abstract: A pasture is, roughly speaking, a field in which addition is allowed to be both multivalued and partially undefined. I will describe a theorem about univariate polynomials over pastures which simultaneously generalizes Descartes’ Rule of Signs and the theory of…

Genevieve Walsh, Tufts University Abstract: A group is coherent if every finitely generated subgroup is finitely presented, and incoherent otherwise. Many well-known groups are coherent: free groups, surface groups, and the fundamental groups of compact 3-manifolds. We consider groups of the form $F_m \by F_n$ or $S_g \by F_n…

Dr. Alexander Goncharov, Department of Mathematics, Yale University Abstract: The logarithm is unique, up to a multiplicative constant,  continuous function satisfying the addition law:ln (xy)= ln x + ln y. It is also the integral of dt/t from 1 to x. The quest for understanding of integrals was and is one of the main driving…

Interdisciplinary Center for Quantitative Modeling in Biology Mario Bonk, UCLA Abstract: Many questions in analysis and geometry lead to  problems of quasiconformal geometry on non-smooth or fractal spaces.  For example, there is a close relation of this subject to the problem of characterizing fundamental groups of hyperbolic 3…

Alex Mogilner, Courant Institute, New York University Cell migration is a fundamentally important phenomenonunderlying wound healing, tissue development, immune responseand cancer metastasis. Understanding basic physics of thecell migration presented a great challenge until, in the lastthree decades, a combination of biological,…

Hello, UCR mathematicians!  A student chapter of the Pacific Math Alliance (PMA) is coming soon to UCR! We hope you will join us on Thursday, October 29 at 3 PM (PDT) for an introductory PMA welcome meeting! This meeting will be hosted by two UCR mathematics graduate students, Jonathan Alcaraz and Savanna Gee. Zoom information…

"Turing Patterns on Turing Machines"   https://www.lorentzcenter.nl/turing-patterns-on-turing-machines.html **11am PST Thursday, August 27th, by James Sharpe, Head of the EMBL, Barcelona: https://www.embl.es/ To attend the lecture, please register online. **Due to global technical issues in the Kultura video conference…

Title: Linking structure to biomechanical behaviors of plant primary cell walls Daniel J. Cosgrove, Tian Zhang, Yao Zhang and Sulin Zhang, Department of Biology and Center for Lignocellulose Structure and Formation, Pennsylvania State University Abstract: How the molecular organization of the plant primary cell wall accommodates…