University of Utah - Department of Mathematics
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.In the fall of 2020, I will be on the tenure track job market. Here is my CV.
Algebration geometry: birational geometry, singularities, Fano varieties, K-stability, and moduli.
|Email:||blum [at] math.utah.edu|
University of Utah |
Department of Mathematics
155 South 1400 East, JWB 233
Salt Lake City, UT 84112
Publications/PreprintsOptimal 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. To appear in Invent. Math.
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. To appear in Ann. Sci. Éc. Norm. Supér.
The normalized volume of a singularity is lower semicontinuous, joint with Yuchen Liu, arXiv:1802.09658. To appear in J. Eur. Math. Soc.
Thresholds, valuations, and K-stability, joint with Mattias Jonsson, Adv. Math. 365 (2020).
Existence of valuations with smallest normalized volume, Compos. Math. 154 (2018), 820-849.
On Divisors Computing MLD's and LCT's, arXiv:1605.09662.