**Publications/preprints:**
Serre
duality for dg-algebras (with
Prashanth Sridhar).
The Hodge structure on
the singularity category of a complex hypersurface (with
Mark E. Walker).
Orlov's Theorem
for dg-algebras (with
Prashanth Sridhar).
Dévissage for
periodic cyclic homology of complete intersections (with
Mark E. Walker), Annals of K-theory 9(2) (2024), 341-367.
Periodicity of
ideals of minors in free resolutions (with
Hailong Dao and Prashanth Sridhar).
A short proof of
the Hanlon-Hicks-Lazarev Theorem (with
Daniel Erman), Forum of Mathematics, Sigma (2024), Vol. 12:e56 1-6.
Positivity and nonstandard graded Betti numbers (with
Daniel Erman), Bulletin of the London Mathematical Society 56(1)
(2024), 111-123.
Linear syzygies of
curves in weighted projective space (with
Daniel Erman), to appear in Compositio Mathematica.
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), Algebra & Number Theory 18-10 (2024), 1923-1943.
Linear strands of
multigraded free resolutions (with Daniel Erman),
Mathematische Annalen 390 (2024), 2707–2725.
Tate resolutions
on toric varieties (with Daniel Erman), Journal
of the European Mathematical Society, published
online (2024).
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:**
The multigraded
BGG correspondence in Macaulay2 (with Maya Banks, Tara Gomes,
Prashanth Sridhar,
Eduardo Torres Davila, and Alexandre Zotine).
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.