I’m currently thinking about exponential random graph models (ERGMs) as they appear in mathematics. Traditionally, they are used to model social networks. They can be investigated from a mathematical perspective by asking whether this family of probability distributions satisfy some *nice* conditions, such as negative dependence. In this way, we connect geometry and probability theory. This connection was described in seminal work by Borcea, Brändén, and Liggett. As part of my PhD candidacy exam, I prepared a document describing this connection with an eye towards ERGMs and quantum field theory.

- Faculty of Science Graduate Student Teaching Award, Western University, 2020.
- Ontario Graduate Scholarship in Science and Technology, Western University, 2020.
- Faculty of Health Silver Medal for Academic Merit, York University, 2016.

- Topos Theory (Reading Seminar).
- Talk: Sheaves as étale spaces

- Random Matrix Theory and Topological Recursion (Reading Seminar).

- MATH 9171L: Mathematical Computation

- MATH 9141B: Commutative Algebra
- Homotopical Algebra (Reading Seminar). Talks:
- The projective model structure on chain complexes
- The Reedy model structure

- MATH 9163A: Convex Geometry

- MATH 9020B: Field Theory
- MATH 9053B: Algebraic Geometry

- MATH 9511L: Category Theory
- MATH 9140L: Representation Theory

- MATH 9022B: Introduction to Measure Theory
- MATH 9051B: Algebraic Number Theory
- MATH 9052B: Algebraic Topology

- MATH 9148A: Graph Theory: Expander Graphs
- MATH 9054A: Functional Analysis
- MATH 9023A: Rings and Modules