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.
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.
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.