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

In Winter 2025, I am a TA for Introduction to Optimization – CO 250.

Recently, I taught Applications of Linear Algebra – Math 2LA3 at McMaster University.

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