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
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 (last updated: 31.07.2025).
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 (last updated: 18.10.2025; submitted).
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).
3. G_a^{perf}-modules and de Rham cohomology,
PDF;
Adv. Math. 409 (2022).
1. Surjectivity of maps induced on matrices by polynomials and entire functions,
Am. Math. Mon. 124 (2017).