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 NSERC and a University of Waterloo President's Graduate Scholarship.

Teaching

In Fall 2024, I am the TA for Introduction to Combinatorics (Non-Specialist Level) – Math 229.

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