Devlin Mallory
I'm a postdoc in the math department at the University of Utah, studying algebraic geometry and commutative algebra. Recently, I've been thinking about positivity properties of tangent bundles of Fano manifolds in relation to differential properties of their section rings, and connections to positive characteristic phenomena such as finite F-representation type. I'm also interested in applications of arc spaces to the study of singularities.
I am also currently co-organizing Utah's Algebraic Geometry Seminar with Emelie Arvidsson.
In Fall 2024, I will be starting a postdoctoral position at the Basque Center For Applied Mathematics, in the Singularity Theory and Algebraic Geometry group.
You can find my CV here.
Before this, I was a graduate student at the University of Michigan.
My adviser was Mircea Mustaţă.
Papers
The tilting property for $F_*^e\mathcal O_X$ on Fano surfaces and threefolds.
arXiv:2405:14070
Homogeneous coordinate rings as direct summands of regular rings.
Illinois Journal of Mathematics, 68(1), 2024.
arXiv:2206:03621
Finite F-representation type for homogeneous coordinate rings of non-Fano varieties.
Épijournal de Géometrie Algébrique, Volume 7, 2023.
arXiv:2207:08966
An explicit self-duality (with Nikolas Kuhn, Vaidehee Thatte, and Kirsten Wickelgren).
In Stacks Project Expository Collection, LMS Lecture Note Series, number 480, Cambridge University Press, 2023.
arXiv:2111:06848
Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity.
Algebra & Number Theory 15(8), 2021.
arXiv:2002.11010
Minimal log discrepancies of determinantal varieties via jet schemes.
Journal of Pure and Applied Algebra 225(2), 2021.
arXiv:1905.05379
Triviality of arc closures and the local isomorphism problem,
Journal of Algebra
544(47), 2020.
arXiv:1811.12577
Teaching
Winter 2024: Math 4400 (introduction to number theory)
Fall 2023: Math 5510 (introduction to general topology)
August 2023: Co-organizer, new instructor training.
Winter 2023: Math 3160 (complex analysis)
Fall 2022: Math 1220 (calculus II)
Fall 2021: Math 1080 (precalculus)