I am a Ph.D candidate at the University of Michigan math department. My advisor is Mircea Mustaţă. I am interested in algebraic geometry and commutative algebra.


The normalized volume of a singularity is lower semicontinuous, joint with Yuchen Liu, arXiv:1802.09658.

Thresholds, valuations, and K-stability, joint with Mattias Jonsson, arXiv:1706.0458.

Existence of Valuations with Smallest Normalized Volume, arXiv:1606.08894. Accepted for publication by Compositio Mathematica.

On Divisors Computing MLD's and LCT's, arXiv:1605.09662, Submitted.


Math 115 Instructor: Fall 2012, Winter 2013, Fall 2013, Winter 2013.

Math 115 Cocoordinator: Fall 2014.

Math 116 Instructor: Fall 2015, Fall 2016.