Broadly in commutative algebra and invariant theory; some keywords are positive characteristic techniques, determinantal rings, local cohomology modules, linkage, and residual intersections.
| 10. | Symbolic powers of the generic linkage of maximal minors with Matteo Varbaro preprint., 25 pp. |
| 9. | F-purity and the F-pure threshold as invariants of linkage preprint., 23 pp. |
| 8. | On the natural nullcones of the symplectic and general linear groups with Yevgeniya Tarasova and Uli Walther Journal of the London Mathematical Society.,Volume 11 (2025), e70078, 31 pp. |
| 7. | Linkage and F-regularity of determinantal rings with Yevgeniya Tarasova International Mathematics Research Notices. Volume 11 (2024), pp. 9323 - 9339. |
| 6. | Counting geometric branches via the Frobenius map and F-nilpotent singularities with Hailong Dao and Kyle Maddox Nagoya Mathematical Journal. Volume 255 (2024), pp. 724 - 741. |
| 5. | When are the natural embeddings of classical invariant rings pure? with Mel Hochster, Jack Jeffries, and Anurag K. Singh Forum of Mathematics, Sigma. Volume 11 (2023), Paper no. e67, 43 pp. |
| 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 American Mathematical Society. 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. |