Shubhodip Mondal

I am an Assistant Professor (tenure-track) of Mathematics at Purdue University. Previously, I was a member of the Institute for Advanced Study (Jan–July, 2024), a postdoctoral fellow at the University of British Columbia (2023–2025), and the Max Planck Institute for Mathematics in Bonn (2022–2023). I obtained my PhD from the University of Michigan in 2022, advised by Bhargav Bhatt.

I am interested in arithmetic geometry and homotopy theory.

View my CV.

Contact

Email: mondalsh (at) purdue.edu
Office: Math 412, Dept. of Mathematics
Mathematical Sciences Bldg, 150 N University St, West Lafayette, IN 47907.

Seminars

Information on the seminars I am co-organizing can be found here.

Papers

18. Height 1 group schemes and prismatic F-gauges (with Olsson), PDF (last updated: 16.4.2026).

17. Syntomic cohomology of rational weights and zeta functions, PDF (last updated: 11.2.2026).

16. Artin-Mazur formal groups and Milne duality via unipotent spectra (with Moulinos and Yang), PDF (last updated: 08.09.2025).

15. Perfect F-Gauges and finite flat group schemes (with Madapusi), PDF (last updated: 01.09.2025).

14. Automorphisms of Frobenius twisted de Rham cohomology (with Li), PDF; to appear in IMRN.

13. Zeta function of F-gauges and special values, PDF (last updated: 26.12.2024).

12. Affine stacks and derived rings (with Mathew), PDF (last updated: 09.06.2025).

11. Dieudonné theory via classifying stacks and prismatic F-gauges, PDF; to appear in Cambridge Journal of Mathematics.

10. p-typical curves on p-adic Tate twists and de Rham-Witt forms (with Devalapurkar), PDF; Adv. Math. 479 (2025).

9. Unipotent homotopy theory of schemes (with Reinecke), PDF; J. Amer. Math. Soc., Vol. 39, No. 1, Jan 2026.

8. On Postnikov completeness for replete topoi (with Reinecke), PDF; Homology Homotopy Appl. 27 (2025), no. 1.

7. Ind-étale vs formally étale (with Mukhopadhyay), PDF; Bull. Lond. Math. Soc. 57 (2025), no. 4.

6. A computation of prismatic Dieudonné module, PDF; Acta Arith. 205 (2022).

5. Reconstruction of the stacky approach to de Rham cohomology, PDF; Math. Z. 302 (2022).

4. On endomorphisms of the de Rham cohomology functor (with Li), PDF; Geometry & Topology 28 (2024) 759-802.

3. G_a^{perf}-modules and de Rham cohomology, PDF; Adv. Math. 409 (2022).

2. Dieudonné theory via cohomology of classifying stacks, Forum of Math, Sigma, Vol. 9 (2021).

1. Surjectivity of maps induced on matrices by polynomials and entire functions, Am. Math. Mon. 124 (2017).