Michael K. Brown

I am a Van Vleck Visiting Assistant Professor at the University of Wisconsin-Madison.

CV

Teaching

Office: Van Vleck Hall 313

Email: mkbrown5 at wisc dot edu

Research Interests: I study derived categories arising in algebraic geometry and their invariants, such as K-theory and Hochschild homology.

Publications/preprints:

  • Standard Conjecture D for Matrix Factorizations (with Mark E. Walker), submitted.

  • Topological K-theory of Twisted Equivariant Perfect Complexes (with Tasos Moulinos), submitted.

  • Computing Schur Complexes (with Hang Huang, Robert P. Laudone, Michael Perlman, Claudiu Raicu, Steven V Sam, and João P. Santos), to appear in the Journal of Software for Algebra and Geometry.

  • A Chern-Weil Formula for the Chern Character of a Perfect Curved Module (with Mark E. Walker), to appear in the Journal of Noncommutative Geometry.

  • Topological K-theory of Equivariant Singularity Categories (with Tobias Dyckerhoff), to appear in Homology, Homotopy and Applications.

  • Adams Operations on Matrix Factorizations (with Claudia Miller, Peder Thompson, and Mark E. Walker), Algebra & Number Theory 11-9 (2017), 2165-2192.

  • On a Conjecture of Dao-Kurano, Journal of Algebra 490 (2017), 462-473.

  • Cyclic Adams Operations (with Claudia Miller, Peder Thompson, and Mark E. Walker), Journal of Pure and Applied Algebra 221 (2017), no. 7, 1589-1613.

  • Knörrer Periodicity and Bott Periodicity, Documenta Mathematica 21 (2016), 1459-1501.

  • Software:

  • The Macaulay2 package SchurComplexes (with Hang Huang, Robert P. Laudone, Michael Perlman, Claudiu Raicu, Steven V Sam, and João P. Santos).