University of Saskatchewan

Persistent Homology is an application of algebraic topology (filtered chain complexes) to statistics. Roughly speaking, one naturally associates filtered chain complexes to data in a variety of ways. Persistent homology is the structure of how the...

DNA topology is the study of the geometry (supercoiling) and topology (knotting and linking) of DNA. Knots and links in DNA are known to obstruct normal cellular processes and geometric factors such as the amount of writhe or supercoiling are known...

The Math2Power Quantum summer school on quantum computing will be held across 2 days (May 29 and 30) in the lead up to the CMS Summer Meeting and is aimed at helping students in the mathematical sciences learn - through a combination of lectures and...

I will aim to give a pedagogical introduction to 3d Coulomb branches of quiver gauge theories, which are certain holomorphic symplectic varieties with symplectic singularities. After briefly explaining why I care about such spaces as a physicist, I...

Over the past 5 years, the stratification of 3d Coulomb branches into symplectic leaves has been the subject of intense work in the physics community. Mathematically, this corresponds to understanding the nested singularity structure of conical...

AV-modules are representations of Lie algebra V of vector fields that admit a compatible action of the commutative algebra A of functions. This notion is a natural generalization of D-modules. In this talk we shall start by reviewing the theory of AV...

A symplectic Hamiltonian manifold consists of a Lie group action on a symplectic manifold, together with the additional structure of a moment map, which encodes the group action in terms of the assignment of Hamiltonian vector fields. In special...

The question of integrality for semi-simple algebraic groups over the field of rational numbers was esablished by Chevalley in the 1950s as part of his work on associating affine group schemes with groups over integers. For infinite-dimensional Kac...

In 1982, Livingston showed that several examples of Seifert surfaces that are not isotopic in the 3-sphere become isotopic when pushed into the 4-ball. This is consistent with a common intuition in topology: objects that are somehow similar should...