Mike Cummings

I am a PhD student in the Department of Combinatorics and Optimization at the University of Waterloo, working under the supervision of Oliver Pechenik.

In June 2024, I received my master's degree from McMaster University under the supervision of Jenna Rajchgot.

Research

My research studies commutative algebraic/algebro-geometric objects using computational and combinatorial tools. Recently, I have been using geometric vertex decomposition and Frobenius splitting to study Hessenberg varieties, toric ideals of graphs, and matrix Schubert varieties.

My research is partially supported by an NSERC Canada Graduate Scholarship – Doctoral and a University of Waterloo President's Graduate Scholarship.

Teaching

Currently I am a TA for Introduction to Optimization – CO 250. In Spring/Summer 2025, I will be a TA for Geometry – Math 661, a course in the Master of Mathematics Teaching program at the University of Waterloo's Centre for Education in Mathematics and Computing.

Contact

Mike Cummings
he/him/his
mike [dot] cummings [at] uwaterloo [dot] ca

Mathematics and Computer 6311
Department of Combinatorics and Optimization
University of Waterloo
200 University Ave W
Waterloo, Ontario, Canada N2L 3G1