Department of Mathematics, University of Utah

Office: JWB 319

Email: bragg@ math.utah. edu

Office: JWB 319

Email: bragg@ math.utah. edu

About:

I am a Wylie Assistant Professor at the University of Utah. Previously, I was an NSF postdoc at UC Berkeley and a postdoc at MSRI.

My research is in algebraic and arithmetic geometry. Among other things, I am interested in birational geometry, Brauer groups, Calabi-Yau varieties, and derived categories, particularly in positive characteristic.

During the Spring of 2023 I am co-organizing the AG preprint seminar.

Papers:

- [arXiv] Twistor spaces for supersingular K3 surfaces (with Max Lieblich).
*Preprint* - [arXiv] Derived equivalences of twisted supersingular K3 surfaces.
*Advances in Mathematics, 378 (2021), 107498.* - [arXiv] Perfect points on genus one curves and consequences for supersingular K3 surfaces (with Max Lieblich).
*Compositio Mathematica, 158 (2022), no. 5, 1052 - 1083* - [arXiv] Derived invariants from topological Hochschild homology (with Benjamin Antieau).
*Algebraic Geometry, 9 (2022), no. 3, 364--399* - [arXiv] Lifts of twisted K3 surfaces to characteristic 0.
*International Mathematical Research Notices, DOI:rnab334* - [arXiv] Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic (with Ziquan Yang). To appear in
*Algebra and Number Theory* - [arXiv] Hodge numbers are not derived invariants in positive characteristic (with Nicolas Addington). To appear in
*Mathematische Annalen* - [arXiv] Representability of cohomology of finite flat abelian group schemes (with Martin Olsson).
*Preprint* - [arXiv] Unipotent morphisms (with Jack Hall and Siddharth Mathur).
*Preprint* - [arXiv] Projectivity of the moduli space of vector bundles on a curve (with Jarod Alper, Pieter Belmans, Jason Liang, and Tuomas Tajakka). To appear in SPEC: Stacks Project Expository Collection.
- [arXiv] Automorphisms of curves over arbitrary fields.
*Preprint*