Michael K. Brown

I am a Van Vleck Visiting Assistant Professor at the University of Wisconsin-Madison. Starting in Fall 2020, I will be an Assistant Professor at Auburn University.

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:

  • A proof of a conjecture of Shklyarov (with Mark E. Walker), submitted.

  • Standard Conjecture D for matrix factorizations (with Mark E. Walker), under revision at Advances in Mathematics.

  • 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), J. Software for Algebra and Geometry 9-2 (2019), 111--119.

  • 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), Homology, Homotopy and Applications vol. 22(2) (2020), 1-29

  • 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).