I am an NSF Postdoctoral Researcher at the University of Utah Department of Mathematics. In May of 2018, I completed my Ph.D. at the University of Michigan Department of Mathematics under the supervision of Mircea Mustaţă.

Research Papers

Openness of uniform K-stability in families of Q-Fano varieties, joint with Yuchen Liu, arXiv:1808.09070.

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.

Other Writing

Singularities and K-stability, Ph.D. Thesis, University of Michigan, link.


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

Math 115 Cocoordinator: Fall 2014.

Math 116 Instructor: Fall 2015, Fall 2016.