Harold Blum

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

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, Ann. of Math. 190 (2019), 609-656.

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.

Other Writing

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

Teaching

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.