PhD, Mathematics, University of California at Berkeley (2014)

Representation theory with a quantum group flavour; non-commutative geometry and some functional analysis and operator algebras; category theory; some algebraic geometry, mostly foundational issues, such as scheme / stack reconstruction from category-theoretic data.

Publication Repository

• Exotic Elliptic Algebras of dimension 4 (with S. Paul Smith, and an Appendix by Derek Tomlin); to appear in Advances in Mathematics.
  
• On the Hopf (co)center of a Hopf algebra (with Paweł Kasprzak). Journal of Algebra 464 (2016), 141-174.
• Quantum rigidity of negatively curved manifolds. Communications in Mathematical Physics 344 (2016), 193-221.
  
• Dedekind complete posets from sheaves on von Neumann algebras; to appear in Applied Categorical Structures.
  
• Reflexivity and dualizability in categorified linear algebra (with T. Johnson-Freyd and M. Brandenburg). Theory and Applications of Categories 30 (2015), 808-835.
• Residually finite quantum group algebras. Journal of Functional Analysis, 268, (2015), 3508-3533.
  
• On quantum symmetries of compact metric spaces. Journal of Geometry and Physics, 94, (2015), 141-157.