Broadly in commutative algebra and invariant theory; some keywords are positive characteristic techniques, determinantal rings, local cohomology modules, linkage, and residual intersections.
| 9. | The F-pure threshold and squarefree initial ideal as invariants of linkage preprint. |
| 8. | On the natural nullcones of the symplectic and general linear groups with Yevgeniya Tarasova and Uli Walther preprint. |
| 7. | Counting geometric branches via the Frobenius map and F-nilpotent singularities with Hailong Dao and Kyle Maddox to appear in Nagoya Mathematical Journal. |
| 6. | Linkage and F-regularity of determinantal rings with Yevgeniya Tarasova International Mathematics Research Notices. Volume 11 (2024), pp. 9323 - 9339. |
| 5. | When are the natural embeddings of classical invariant rings pure? with Mel Hochster, Jack Jeffries, and Anurag Singh Forum of Mathematics, Sigma. Volume 11 (2023), Paper no. e67. |
| 4. | Homological properties of pinched Veronese rings with Kyle Maddox Journal of Algebra Volume 614 (2023), pp. 307 - 329. |
| 3. | Cohomological dimension of ideals defining Veronese rings Proceedings of the AMS Volume 149, no. 4, (2021), pp. 1387 - 1393. |
| 2. | A Dedekind domain with nontrivial class group with Sagar Shrivastava and B.Sury The American Mathematical Monthly Volume 125, Issue 4 (2018), pp. 356 - 359. |
| 1. | On the prime ideals of C[0,1] Reasonance (Indian Academy of Sciences) May (2016), pp. 439 - 446. |