Papers (published or accepted):

 

 

41. On Lyubeznik type invariants (with T. Reichelt and U. Walther)

      Topology and its applications, special issue on the proceedings on the conference Hyper-JARCS 2019, to appear

40. Local cohomology -- an invitation (with U. Walther)

      to appear in the book Commutative Algebra by Springer

39. Annihilatros of D-modules in mixed characteristic (with R. Datta and N. Switala)

       Math. Res. Lett., to appear.

38. On the asymptotic socle degrees of local cohomology modules

       Journal of Pure and Applied Algebra, 225 (2021), no. 12.

37. An asymptotic vanishing theorem for the cohomology of thickenings (with B. Bhatt, M. Blickle, G. Lyubeznik, and A. Singh)

       Math. Ann. 380 (2021), no.1-2, 161-173.

36. On completion of graded D-modules (with N. Switala)

       Math. Res. Lett., 27 (2020), no. 3, 887-901.

35. A prime-characteristic analogue of a theorem of Hartshorne-Polini (with N. Switala)

      Journal of Pure and Applied Algebra, 224 (2020), no. 10.

34. Stabilization of cohomology of thickenings (with B. Bhatt, M. Blickle, G. Lyubeznik, and A. Singh)

      American Journal of Mathematics, 141 (2019), no. 2, 531--561.

33. Duality and de Rham cohomology for graded D-modules (with N. Switala)

      Adv. Math. 340 (2018), 1141--1165.

32. Multiplicity bounds in prime characteristic (with M. Katzman)

      Comm. Alg. (special issue in honor of Gennady Lyubeznik), to appear.

31. A dichotomy for the injective dimension of F-finite F-modules and holonomic D-modules (with N. Switala)

      Comm. Alg. (special issue in honor of Gennady Lyubeznik), to appear.

30. F-singularities under generic linkage (with L. Ma, J. Page, R. Rebhuhn-Glanz, and W. Taylor)

      Journal of Algebra, 505 (2018), 194--210.

29. F-singularities in families (with Z. Patakfalvi, and K. Schwede)

      Algebr. Geom. 5 (2018), no. 3, 264--327.

28. The support of local cohomology modules (with M. Katzman)

      Int. Math. Res. Not. IMRN 2018, no. 23, 7137--7155.

27. D-module and F-module length of local cohomology modules (with M. Katzman, L. Ma, and I. Smirnov)

      Trans. Amer. Math. Soc. 370 (2018), no. 12, 8551–8580

26. Content of local cohomology, parameter ideals, and robust algebras (with M. Hochster)

      Trans. Amer. Math. Soc. 370 (2018), no. 11, 7789--7814.

25. Global parameter test ideals (with M. Katzman, S. Murru, and J. Velez)

      J. Algebra 486 (2017), 80--97.

24. On injective dimension of F-finite F-modules and holonomic D-modules

      Bull. Lond. Math. Soc. 49 (2017), no. 4, 593--603.

23. Poincare duality in modular coinvariant rings (with M. Sezer)

      Proc. Amer. Math. Soc., 144 (2016), no. 12, 5113–5120.

22. F-pure thresholds of homogeneous polynomials (with D. Hernandez, L. Nunez Betancourt, and E. Witt)

      Michigan Math. Journal, 65 (2016), no.1, 57–87 .

21. Frobenius splitting in commutative algebra (with K. Smith)

      Commutative algebra and noncommutative algebraic geometry. Vol. I, 291-345, Math. Sci. Res. Inst. Publ., 67, Cambridge Univ. Press.

20. A survey on Lyubeznik numbers (with L. Nunez Betancourt and E. Witt)

      Contemp. Math. 657, 137--163.

19. An extension of a theorem of Hartshorne (with M. Katzman and G. Lyubeznik)

      Proc. Amer. Math. Soc. 144 (2016), no. 3, 955--962.

18. Eulerian Graded D-modules (with L. Ma)

      Math. Res. Lett. 21 (2014), no. 1, 149--167.

17. Local cohomology modules of a smooth Z-algebra have finitely many associated primes (with B. Bhatt, M. Blickle, G. Lyubeznik, and A. Singh)

      Invent. Math. 197 (2014), no. 3, 509--519.

16. Rings of Frobenius operators (with M. Katzman, K. Schwede, and A. Singh)

      Math. Proc. Cambridge Philos. Soc. 157 (2014), no. 1, 151–167.

15. Annihilators of Artinian modules compatible with a Frobenius map (with M. Katzman)

     J. Symbolic Comput. 60 (2014), 29--46.

14. Castelnuovo-Mumford regularity and the discreteness of F-jumping coefficients in graded rings (with M. Katzman)

      Trans. Amer. Math. Soc. 366 (2014), no. 7, 3519--3533.

13. Cartier modules on toric varieties (with J.-C. Hsiao, and K. Schwede)

      Trans. Amer. Math. Soc. 366 (2014), no. 4, 177--1795.

12. Bertini theorems for F-singularities (with K. Schwede)

      Proc. London Math. Soc., (3) 107 (2013), no. 4, 851--874.

11. Estimates for F-jumping numbers and bounds for Hartshorne-Speiser-Lyubeznik numbers (with M. Mustata)

      Nagoya Math. J. 210 (2013), 133--160.

10. Test ideals via a single alteration and discreteness and rationality of F-jumping numbers (with K. Schwede and K. Tucker)

      Math. Res. Letters, 19 (2012), no. 1, 191--197.

9. Two interesting examples of D-modules in characteristic p > 0 (with M. Katzman and G. Lyubeznik)

     Bulletin of London Math. Soc., (2012) 44(6): 1116--1122

8. A property of the Frobenius map on a polynomial ring (with G. Lyubeznik and Y. Zhang)

     Contemp. Math. 555 (Proceedings of PASI 2009), 137--144.

7. An upper bound on the number of F-jumping coefficients of a principal ideal (with M. Katzman and G. Lyubeznik)

     Proc. Amer. Math. Soc. 139 (2011), 4193--4197.

6. Lyubeznik numbers of projective schemes

     Adv. Math. 228 (2011), 575--616.

5. Discreteness and rationality of F-jumping numbers on singular varieties (with M. Blickle, K. Schwede, and S. Takagi)

     Math. Ann. 347 (2010), no. 4, 917--949.

4. On Frobenius powers and colon ideals,

    Comm. Alg. 37 (2009), no.7, 2391--2395.

3. On the localization theorem for F-pure rings (with K. Shimomoto)

    Journal of Pure and Applied Algebra, (2009), no. 6, 1133--1139.

2. On the discreteness and rationality of F-jumping coefficients (with M. Katzman and G. Lyubeznik)

     Journal of Algebra, 322 (2009), no. 9, 3238--3247.

1. On the highest Lyubeznik number of a local ring

    Compositio Mathematica, 143 (2007), no. 1, 82--88.