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 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...

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...

TBA

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...

Richard Stanley asked in 1995 whether a tree is determined up to isomorphism by its chromatic symmetric function. This question remains unanswered and frequently keeps the speaker awake at night. Our approach to understanding the strength of the...

The central question of knot theory is that of distinguishing links up to isotopy. The first polynomial invariant of links devised to help answer this question was the Alexander polynomial (1928). Almost a century after its introduction, it still...

We consider the Grassmannian G r C ( k , n ) , a manifold parameterized by k -dimensional planes in complex n -dimensional space. The Schubert decomposition of the Grassmannian is perhaps the classic way to split this space into smaller pieces...

Quivers and their mutations play a fundamental role in the theory of cluster algebras. We focus on the problem of deciding whether two given quivers are mutation equivalent to each other. Our approach is based on introducing an additional structure...

Influential work of Hodge from the 1940s led the way in using Gröbner bases to combinatorially study the Grassmannian. In this talk, we will follow Hodge's approach in order to investigate certain subvarieties called positroid varieties. Positroid...

In a seminal paper, Kannan and Lovász (1988) considered a quantity µ K L ( Λ , K ) which denotes the best volume-based lower bound on the covering radius µ ( Λ , K ) of a convex body K with respect to a lattice Λ . Kannan and Lovász proved that µ ( Λ...

The computer is taking over. AND, in many branches of applied mathematics and statistics we hear 'why bother to prove theorems? simulations and numerical approximation are easier and better for real problems'. NOT SO FAST; I will present a collection...

Optimal transport operates on empirical distributions which may contain acquisition artifacts, such as outliers or noise, thereby hindering a robust calculation of the OT map. Additionally, it necessitates equal mass between the two distributions...

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