Michael K. Brown

CV

I am a postdoc at the Hausdorff Center for Mathematics in Bonn, Germany, working in the research group of Tobias Dyckerhoff.

Research: I like to think about differential graded categories (i.e. "non-commutative spaces") arising in algebraic geometry. I have recently been particularly interested in studying dg categories of matrix factorizations associated to hypersurfaces.

Contact: mbrown at math dot uni-bonn dot de

Papers:
  1. Topological K-theory of Equivariant Singularity Categories (joint with Tobias Dyckerhoff).

  2. Adams Operations on Matrix Factorizations (joint with Claudia Miller, Peder Thompson, and Mark E. Walker), submitted.

  3. On a Conjecture of Dao-Kurano, submitted.

  4. Cyclic Adams Operations (joint with Claudia Miller, Peder Thompson, and Mark E. Walker), J. Pure Appl. Algebra 221 (2017), no. 7, 1589-1613.

  5. Knörrer Periodicity and Bott Periodicity, Documenta Math. 21 (2016), 1459-1501.