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).

The generalized degree polynomial (GDP) of a tree is an invariant introduced by Crew that enumerates subsets of vertices by size and number of internal and boundary edges. Aliste-Prieto et al. proved that the chromatic symmetric function of a tree...

There is a rich history of domino tilings in two dimensions. Through a variety of techniques we can answer questions such as: how many tilings are there of a given region or what does a random tiling look like? These questions and their answers...

TBA

The framework of mirror symmetry, originally discovered by string theorists, asserts that geometric objects come in "mirror pairs" (X,Y), where the enumerative geometry (e.g. quantum cohomology) of X controls the complex geometry of the mirror dual Y...

TBA

We invite talented and motivated graduate students from Canada and the United States to participate in a unique Summer School and Hackathon. The goal of this event is to expose graduate students to the exciting and emergent field of Structured...

In this talk, we will discuss the question of establishing CLTs for empirical entropic optimal transport when choosing the regularisation parameter as a decreasing function of the sample size. Importantly, decreasing the regularisation parameter...

Measures provide valuable insights into long-term and global behaviors across a broad range of dynamical systems. In this talk, we present our recent research efforts that employ measure theory and optimal transport to tackle core challenges in...

We generalize a result about the face numbers of polytopes to the realm of CW spheres. Let X be a CW sphere such that: X is strongly regular. (The intersection of any two faces is a face.) X is shellable. (We can build X, facet by facet, so that each...

An unweighted graph is conformally rigid if allowing nonnegative edge weights will not increase the second eigenvalue, or decrease the largest eigenvalue, of its Laplacian matrix. There are natural motivations for finding weights on a graph that...

Since Szemeredi's Theorem and Furstenberg's proof thereof using ergodic theory, dynamical methods have been used to show the existence of numerous patterns in sets of positive upper density. These tools have led to uncovering new patterns that occur...

The Grassmannian is studied very differently in pure and applied mathematics. From studying these two embeddings of the Grassmannian, a new variety called the squared Grassmannian arises naturally as the image of the Grassmannian in its Plücker...

For a finite connected graph, the following objects have the same cardinality: the set of spanning trees, the Jacobian group, the set of equivalence classes of orientations up to cycle-cocycle reversal, the set of break divisors, the set of reduced...

The q , t -Catalan numbers can be described elegantly in terms of pairs of statistics on Dyck paths: area and bounce, or area and dinv. Using bijective and recursive methods, we prove new expressions of the q , t -Catalan numbers in terms of pairs of...

Anosov flows are a standard model for strongly chaotic behavior in dynamical systems. A classical example is the geodesic flow on a compact negatively curved Riemannian manifold. The chaotic behavior of an Anosov flow manifests in decay of...

We prove a new signed elementary symmetric function expansion of the chromatic symmetric function. We then use sign-reversing involutions to prove e -positivity for graphs formed by joining cycles or cliques at single vertices. By considering...

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
Pawel 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