Hello! I'm a 5th year graduate student in the MIT mathematics department. Next year I will be an instructor at Princeton.
- My thesis computes the blowup formula for SU(3) Donaldson invariants. It's a theta function on a hyperelliptic Jacobian! Here is a sketch of the result:
The Blowup Formula for SU(3) Donaldson Invariants
- I'm also exploring other connections between Abelian varieties and Floer-type invariants. I will soon be posting a paper in which I construct a link homology
theory from the derived category of an arbitrary Abelian variety.
I'm not teaching this semester, because I'm writing my thesis. In the past I have taught:
I have also been a long time participant in the PROMYS program. I highly recommend it for high school students who are enthusiastic about mathematics, or for talented undergraduates who want to help educate such delightful students.
- After Klein: Explorations in Complex Analysis (Joint w/ Josh Batson, Sprout, Summer 2010)
- Directed Reading Program (MIT, IAP 2011-2014)
- 18.03: Differential Equations (TA, MIT, Spring 2011)
- Interphase Summer Program (Lecturer, MIT, Summer 2011)
- 18.02C: Multivariable Calculus (TA, MIT, Fall 2012)
- 18.022: Multivariable Calculus (TA, MIT, Fall 2013)
- 18.02A: Multivariable Calculus (TA, MIT, IAP 2014)