caldermf (at) mit.edu CV

I am a PhD student at MIT.

I am interested in the intersection of algebra, geometry, and combinatorics, particularly in the context of representation theory.

Previously, I was an undergraduate in the department of mathematics at the University of Toronto.

- In 2018-2019, I worked on investigating the relationship between quiver flag varieties and Mirkovic-Vilonen cycles. This work was part of a project with Prof. Joel Kamnitzer which began in the summer of 2018 under an NSERC Undergraduate Student Research Award. As part of this project, I wrote an appendix to this paper (arXiv:1905.08460).
- In the summer of 2017, I illustrated the prime and torus decomposition of 3-manifolds using computer graphics and animation. The project can be found here. This work was under the supervision of Prof. Dror Bar-Natan with funding from an NSERC USRA.

- In June 2019, I was in Paris attending the Summer School on Geometric and Algebraic Combinatorics at the Jussieu Campus of Sorbonne University.
- In the summer of 2019, I was at Notre Dame University to attend the undergraduate program on commutative algebra and algebraic geometry. In June 2018, I attended Notre Dame's undergraduate program on geometric representation theory and symplectic varieties. In 2019, I was joined by my best friend Tanny.
- I attended the 2018-2019 Geometric Representation Theory Seminar at the Fields Institute.
- In 2016, 2017, and 2018, I attended the Canadian Undergraduate Mathematics Conference and gave talks on nested recursions, 3-manifold topology, and quiver flag varieties respectively.
- In October 2016, I spoke at Crime and Punishment at 150, a conference on Russian literature at the University of British Columbia. I gave a talk on Dostoevsky's representation of the city of St. Petersburg in
*Crime and Punishment*.

- In 2018-2019, I was a teaching assistant for MAT257 (Analysis II) at the University of Toronto.
- In 2017-2018, I was a teaching assistant for MAT137 (Calculus!) at the University of Toronto.
- In 2016-2017, I was a teaching assistant for MAT135/MAT136 at the University of Toronto.