University of Washington | PIMS - Pacific Institute for the Mathematical Sciences

The University of Washington PIMS site office is located in the Department of Mathematics at (Padleford building) the University of Washington (Map).

Real-world systems—from academic collaborations and computer networks to biological systems and power grids—are often large, heterogeneous, and highly interconnected. A first step towards understanding these systems is choosing an appropriate...

We discuss a differential geometric construction of distinguished holomorphic 2-spheres inside a K3 surface. These 2-spheres degenerate to a line on an affine 3-manifold. The example illustrates a general principle in the SYZ program, where graphs on...

I will discuss a microlocal analysis approach to spectral theory on asymptotically Minkowski spaces both for scalar wave operators and also for Dirac type operators. This in turn gives rise to complex powers of the operators, allowing for the...

We will review different notions of anti-concentration, arising from geometry, analysis, and probability. One focus of the talk will be on understanding how these definitions relate to each other, sometimes leading to surprising and nontrivial...

Given a Jordan curve in the plane, we can associate a circle homeomorphism (conformal welding) via the conformal welding correspondence. These homeomorphisms arise naturally in Teichmuller theory, Mathematical physics and dynamics. In this talk, we...

Not all convex functions have finite minimizers; some can only be minimized by a sequence as it heads to infinity. In this work, we aim to develop a theory for understanding such minimizers at infinity. We study astral space, a compact extension of...

I will review the progress of large language models for mathematics over the last 3 years, from barely solving high school level mathematics to solving some minor open problems in convex optimization, combinatorics and probability theory. The...

A good way to understand the structure of a finite group is through its representations. The family of representations of a group on a fixed field has several properties: it is closed by finite direct sums, by tensor products, it contains the dual...

An abstract discrete dynamical system consists of a set X and a self-map f from X to itself. Dynamics studies the orbits of points of X under repeated application of f. When X and f are defined by polynomials, algebraic geometry comes into play, and...

I will review a topic in mathematical physics, called Lieb-Robinson bounds, that exemplifies analysis, geometry, and dynamics. These bounds describe the dynamics of a physical system of many interacting quantum degrees of freedom: they control how...

There is an emerging interest in understanding the behavior of partial differential equations on graphs G=(V,E). The classic approach is to think of a graph as a (discretized) compact manifold without boundary (since there is no `complement', no...

The capillary energy functional models the equilibrium shape of a liquid drop meeting a substrate at a prescribed interior contact angle. We will discuss a rigidity theorem for volume-preserving critical points of the capillary energy in the half...

A central question in quantum chaos is how classical chaotic dynamics influence quantum behavior. On compact Riemannian manifolds, pure quantum states correspond to Laplacian eigenfunctions. The quantum unique ergodicity (QUE) conjecture of Rudnick...

Staff

Position	Name	Email	Phone #	Office
PIMS Site Director, University of Washington	Jayadev Athreya	jathreya@uw.edu	+1 (206) 616-2481	C-419, Padelford Hall
Site Administrator - University of Washington	Michael Munz	munz@math.washington.edu	+1 (206) 543-0397

Name	Position	Research Interests	Supervisor	Year
Paweł Morzywolek	PIMS-Simons Postdoctoral Fellow, University of Washington	Statistics	Alex Luedtke	2024
Anastassiya Semenova	PIMS-Simons Postdoctoral Fellow, University of Washington	Applied mathematics and nonlinear science	Bernard Deconinck	2023
Daniel Kessler	PIMS-Simons Postdoctoral Fellow, University of Washington	Statistics	Daniela Witten	2023
Samuel Van Fleet	PIMS-Simons Postdoctoral Fellow, University of Washington	Numerical Analysis and PDE	Jingwei Hu	2023
Amrei Oswald	Postdoctoral Researcher	Non-commutative Algebra	James Zhang	2022
Shiping Cao	Postdoctoral Researcher	Fractals	Zhen-Qing Chen	2022
Xiaowen Zhu	PIMS Postdoctoral Fellow, University of Washington	Mathematical Physics	Alexis Drout	2022
Jesse Daniel Raffa	University of Washington	Statistics	Elizabeth A. Thompson	2014
Nicholas W. Reichert	University of Washington	Partial Differential Equations	Robin Graham	2014