Research

I am currently a Master's student in mathematics at McMaster University working under the supervision of Dr. Megumi Harada and Dr. Jenna Rajchgot as part of the Combinatorial Algebraic Geometry (CAG) group. Recently I have been exploring polyptych lattices (theory recently developed by Laura Escobar, Megumi Harada, and Chris Manon), geometric vertex decomposition, skew-symmetric matrix Schubert varieties, and toric ideals of graphs. I make frequent use of Macaulay2.

Preprints

1.  A note on toric ideals of graphs and Knutson-Miller-Yong decompositions  

   • With Sergio Da Silva and Jenna Rajchgot (2024)

Thesis

1.  A New Computational Algebraic Proof for the Height of Toric Ideals of Graphs

• McMaster University undergraduate thesis (2023)

• Supervised by Sergio Da Silva and Jenna Rajchgot

Undergraduate Research Projects

1. Summer 2022 NSERC USRA Project: On the height of toric ideals of graphs (led to undergraduate thesis and article)

   • Supervised by Sergio Da Silva and Jenna Rajchgot

2. Summer 2023, 2024 NSERC USRA Project: Frobenius splitting for skew-symmetric matrix Schubert varieties

   • With Mike Cummings

   • Supervised by Sergio Da Silva and Jenna Rajchgot