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).

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...

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...

TBA

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...

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...

We consider the problem of minimizing a convex function under convex constraints, where some or all of the decision variables are constrained to be integer, with access to first-order oracles for the objective function and separation oracles for the...

One way to define an integer polymatroid ρ is via its independent set polytope, whose faces are parallel translations of the independent set polytopes of the minors of ρ. To better understand the interior of this polytope, we endow a structure on...

In this talk, we consider colored permutation groups ℤm≀Sn, which contain the symmetric groups Sn≅ℤ1≀Sn and the signed symmetric groups Bn≅ℤ2≀Sn as special cases. Like in Sn, colored permutations in ℤm≀Sn have a notion of cycle type that classifies...

A d-polytope is called (d−i)-simplicial if all of its (d−i)-faces are simplices. It is i-simple if every (d−i−1)-face belongs to exactly i+1 facets. A few low-dimensional examples of (d−i)-simplicial i-simple polytopes arising from regular polytopes...

We study the behavior of h-vectors associated to matroid complexes under weak maps, or inclusions of matroid polytopes. Specifically, we show that the h-vector of the order complex of the lattice of flats of a matroid is component-wise non-increasing...

We will consider the inverse problem of determining the sound speed or index of refraction of a medium by measuring the travel times of waves going through the medium. This problem arises in global seismology in an attempt to determine the inner...

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