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.
Optimal destablization of K-unstable Fano varieties via stability thresholds, joint with Yuchen Liu and Chuyu Zhou, arXiv:1907.05399.
Openness of K-semistability for Fano varieties, joint with Yuchen Liu and Chenyang Xu, arXiv:1907.02408.
Reductivity of the automorphism group of K-polystable Fano varieties, joint with Jarod Alper, Daniel Halpern-Leistner, and Chenyang Xu, arXiv:1812.03538.
Uniqueness of K-polystable degenerations of Fano varieties, joint with Chenyang Xu, arXiv:1906.03122, to appear in Ann. of Math.
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,
Compos. Math. 154 (2018), 820-849.
On Divisors Computing MLD's and LCT's, arXiv:1605.09662.
Singularities and K-stability, Ph.D. Thesis, University of Michigan, link.
University of Utah
Math 4400 (Intro to Number Theory)
University of Michigan
Math 115 (Calculus I) Instructor: Fall 2012, Winter 2013, Fall 2013, Winter 2013.
Math 115 (Calculus I) Cocoordinator: Fall 2014.
Math 116 (Calculus II) Instructor: Fall 2015, Fall 2016.