**Publications/preprints:**
Tate resolutions
on toric varieties (with Daniel Erman), submitted.
Minimal free
resolutions of differential modules (with Daniel Erman), submitted.
A proof of a
conjecture of Shklyarov (with Mark E. Walker), to appear in the
Journal of Noncommutative Geometry.
Standard Conjecture D for matrix factorizations (with Mark E. Walker), Advances in Mathematics 366 (2020), 107092.
On the topological *K*-theory of twisted equivariant perfect complexes (with Tasos Moulinos), submitted.
A Chern-Weil
formula for the Chern character of a perfect curved module (with
Mark E. Walker), Journal of Noncommutative Geometry 14(2) (2020), 709--772.
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:**
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.