-- Mathematical interests

-- Teaching Fall 2024

-- Algebra Seminar

-- Papers and preprints

• Quantum Frobenius and modularity for quantum groups at arbitrary roots of 1. submitted. (pdf)
• Revisiting the Steinberg representation at arbitrary roots of 1. submitted. (pdf)
• (w/ J. Pevtsova) The half-quantum flag variety and representations for small quantum groups. submitted. (pdf)
• (w/ J. Pevtsova) The Springer resolution and support theory for quantum groups. draft. (pdf)
• (w/ E. Friedlander) Support theory for Drinfeld doubles of some infinitesimal group schemes. Algebra Number Theory. to appear. (pdf)
• (w/ T. Gannon) Quantum SL(2) and logarithmic vertex operator algebras at (p,1)-central charge. J. Eur. Math. Soc. to appear. (pdf)
• (w/ J. Pevtsova) Hypersurface support and prime ideal spectra for stable categories. Ann. K-theory 2022. (pdf)
• (w/ J. Pevtsova) Hypersurface support for noncommutative complete intersections. Nagoya Math. J. 2022. (pdf)
• Finite generation of cohomology for Drinfeld doubles of finite group schemes. Selecta Math. 2021. (pdf)
• (w/ J. Pevtsova) Support for integrable Hopf algebras via noncommutative hypersurfaces. Int. Math. Res. Not. 2021. (pdf)
• (w/ P. Etingof) Pointed Hopf actions on central simple division algebras. Transform. Groups. 2022. (pdf)
• Log-modular quantum groups at even roots of unity and the quantum Frobenius I. Comm. Math. Phys. 2021. (pdf)
• (w/ J. Plavnik) Cohomology of finite tensor categories: duality and Drinfeld centers. Trans. Amer. Math. Soc. 2022. (pdf)
• (w/ T. Schedler + appendices by P. Etingof and P. Belmans) The Hochschild cohomology ring of a global quotient orbifold. Adv. Math. 2020. (pdf)
• (w/ S. Witherspoon and Y. Volkov) A_\infty-coderivations and the Gerstenhaber bracket on Hochschild cohomology. J. Noncommut. Geom. 2020. (pdf)
• (w/ E. Friedlander) Cohomology for Drinfeld doubles of some infinitesimal group schemes. Algebra Number Theory 2018. (pdf)
• Twists for quantum Borel algebras. J. Algebra 2018. (pdf)
• Small quantum groups associated to Belavin-Drinfeld triples. Trans. Amer. Math. Soc. 2019. (pdf)
• (w/ S. Witherspoon) The Gerstenhaber bracket as a Schouten bracket for polynomial rings extended by finite groups. Proc. Lond. Math. Soc. 2017. (pdf)
• (w/ R. Ng) Gauge invariants from the powers of antipodes. Pacific J. Math. 2017. (pdf)
• Braided Hochschild cohomology and Hopf actions. J. Noncommut. Geom. 2019. (pdf)
• The cup product on Hochschild cohomology via twisting cochains and applications to Koszul rings. J. Pure Appl. Algebra 2017. (pdf)
• The derived Picard group of an affine Azumaya algebra. Selecta Math. 2017. (pdf)
• (w/ S. Witherspoon) An alternate approach to the Lie bracket on Hochschild cohomology. Homology Homotopy Appl. 2016. (pdf)
  
• Spectral sequences for the cohomology rings of a smash product. J. Algebra 2015. (pdf)

-- Other writings

• Kerodon remix part I: ∞-category basics for algebraists. (pdf)

-- Travel Scheduled

Location	Date
Simons Center NY	March 30-31, 2023
AMS Sectional SF	May 4-5, 2023
Simons Center NY	Nov, 2023
JMM San Francisco	Jan 5
IPAM, Los Angeles	Jan 8-12
Simons Center NY	March 26-28
AMS Sectional SF	May 4-5
ICMS, Edinburgh	June 17-21
Renyi Institute, Budapest	July 1-14
MSRI	July 15-Aug 9
USC	Aug 9-11
Berkeley	Oct 8
Melboourne	Nov 22-29

-- Short Biography

I completed my undergrad work at the University of Virginia, then attended the University of Washington for grad school. At UW I worked under my advisor James Zhang. I did postdoc work at Louisiana State University, the Massachusetts Institute of Technology, the Hausdorff Institute at Bonn, and the Mathematical Science Research Institute at Berkeley. I was previously an assistant professor at the University of North Carolina (2019-2021).