**Publications/preprints:**
Dévissage for
periodic cyclic homology of complete intersections (with
Mark E. Walker).
Periodicity of
ideals of minors in free resolutions (with
Hailong Dao and Prashanth Sridhar).
Results on virtual
resolutions for toric varieties (with
Daniel Erman).
Positivity and nonstandard graded Betti numbers (with
Daniel Erman), Bulletin of the London Mathematical Society (2023),
published
online.
Linear syzygies of
curves in weighted projective space (with
Daniel Erman).
Idempotent
completions of equivariant matrix factorization categories (with
Mark E. Walker), Journal of Algebra 634 (2023), 554-562.
A short resolution
of the diagonal for smooth projective toric varieties of Picard rank
2 (with Mahrud Sayrafi).
Linear strands of
multigraded free resolutions (with Daniel Erman).
Tate resolutions
on toric varieties (with Daniel Erman), to appear in the Journal
of the European Mathematical Society.
Minimal free
resolutions of differential modules (with Daniel Erman), Transactions of the AMS 375(10) (2022), 7509-7528.
A proof of a
conjecture of Shklyarov (with Mark E. Walker), Journal of
Noncommutative Geometry 16(4) (2022), 1479-1523.
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), Homology, Homotopy and Applications 25(1) (2023), 173-187.
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 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), Journal of Software for Algebra and Geometry 9-2 (2019), 111--119.