Larissa Richards

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sntp.ca

About Me

September, 2015

I am a PhD candidate at the University of Toronto and I work with Ilia Binder. My research interests lie in the intersection of Mathematical Physics, Geometric Function Theory, Complex Analysis, and Probability. In particular, my major research interest is Schramm Loewner Evolution (SLE). Therefore, I enjoy studying physical phenomena such as percolation, the Ising model, loop erased random walk and the Potts model especially after attending University of Geneva between 2015 and 2016 for the Master Class in Planar Statistical Physics.

In my thesis, I study rate of convergence to SLE curves for several models. Two preprints out of this project are available upon request.

Aside from my main research interests, I am also interested in various connections between probability and physics. In particular, I like learning about spin systems, random matrices, random planar map and Liouville quantum gravity etc.


You can find my CV here.

Papers

Convergence Rates of Random Discrete Model Curves Approaching SLE in the Scaling Limit.
with Ilia Binder.
Preprint available on request.
Polynomial Convergence Rates for Harmonic Explorer and Ising Model on Isoradial Graphs.
with Ilia Binder.
Preprint available on request.
Determinants, Their Applications to Markov Processes, and a Random Walk Proof of Kirchhoff’s Matrix Tree Theorem.
with Michael J. Kozdron and Daniel W. Stroock.
Preprint available on ArXiv.

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Teaching

I am an instructor for MAT135/MAT136 in Fall 2018 / Winter 2019. Aside from my teaching duties, my role in the teaching team is Teaching Assistant Development.
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