### Research

My primary interests are in algebraic number theory and arithmetic geometry. In particular, I am interested in congruences between special values of L-functions and their relation to special cycles on modular varieties. I am also interested in cryptography, particularly in lattice-based protocols arising from constructions in number theory.

### Expository Writing

I wrote some notes on canonical lifts of elliptic curves and their role in the Gross-Zagier formula for a talk I gave in the Gross-Zagier Seminar.

I taught a mini-course on "Galois representations and their deformations" in 2016. I will eventually finish writing up notes that will appear here.

### Teaching

Fall 2017: Graduate Student MentorWinter 2017: Math 116

Fall 2016: Math 115

Summer 2016: M-Sci Math 3

Fall 2015: Math 116 Course Co-Coordinator

Summer 2015: M-Sci Math 3

Fall 2014: Math 115

Winter 2014: Math 116

Fall 2013: Math 115

Winter 2013: Math 116

Fall 2012: Math 115

### Seminars

I was the organizer for the Student Arithmetic Seminar from 2013-2017. Feel free to contact me if you would like to be added to the mailing list or to give a talk.I also organized a seminar on Borcherds products with Charlotte Chan during the Winter 2016 semester.