Blog Posts

• 29 Jul 2026 » NPTEL course on Algebraic Number Theory
• 21 Jul 2023 » Letters of recommendation
• 11 Jun 2023 » I am teaching Algebra 1 (MA 212) during the Aug-Dec 2023 semester.
• 18 Dec 2022 » Postdoc + Grad student symposium
• 17 Dec 2022 » I am teaching complex analysis (MA 224) during the Jan-April 2023 semester.
• 14 Nov 2022 » I do not offer summer or winter internships for students outside IISc.
• 13 Jul 2022 » I am teaching algebraic number theory during the August-December 2022 semester.

Papers and Preprints

1. A new perspective on the rank of Mazur's Eisenstein Hecke algebra

with Jaclyn Lang, Katharina Müller (arXiv)

2. On local characterizations of Hida families of Siegel modular forms

with Shaunak Deo (arXiv)

3. A minimal modularity lifting theorem for Siegel modular forms

with Shaunak Deo (arXiv)

4. On the congruence ideal associated to p-adic families of Yoshida lifts

with Ming-Lun Hsieh (arXiv)

5. On computing the Newton polygons of plus and minus p-adic L-functions

   with Sai Sanjeev Balakrishnan* and Antonio Lei Involve (2025) (journal) (uO Research repository)

6. An ergodic approach towards an equidistribution result of Ferrero--Washington

   with Jungwon Lee, Journal de théorie des nombres de Bordeaux (2024) (journal) (arXiv) (slides)

7. Codimension two cycles in Iwasawa theory and tensor product of Hida families

   with Antonio Lei, Mathematische Annalen (2022) (journal) (arXiv)

8. Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction

   with Antonio Lei, Forum of Mathematics, Sigma (2019) (journal) (arXiv) (erratum+addendum)

9. On free resolutions of Iwasawa modules

   with Alexandra Nichifor, Doc. Math. (2019) (journal) (arXiv)

10. Height one specializations of Selmer groups

    Annales de l'Institut Fourier (2019) (journal) (arXiv)

11. On Selmer groups and factoring p-adic L-functions

    International Mathematics Research Notices (2018) (journal) (arXiv)

Teaching

1. Algebraic Number Theory (Math 313)

   Aug-Dec 2026 @ IISc

2. Commutative Algebra (MA 312)

   Aug-Dec 2026 @ IISc

3. Commutative Algebra with a viewpoint towards Algebraic Number Theory

   Aug-Oct 2026 @ NPTEL

4. Commutative Algebra (MA 312)

   Aug-Dec 2025 @ IISc

5. Analysis and Linear Algebra I (UM 101)

   Aug-Dec 2024 @ IISc

6. Topics in Number Theory: p-adic L-functions (MA 358)

   Jan-Apr 2024 @ IISc

7. Algebra 1 (Math 212)

   Aug-Dec 2023 @ IISc

8. Complex Analysis (Math 224)

   Jan-Apr 2023 @ IISc

9. Algebraic Number Theory (Math 313)

   Aug-Dec 2022 @ IISc

10. Calculus I (Math 104)

    Fall 2018, Fall 2016 @ UPenn

11. Introduction to Linear algebra and ODEs (Math 240)

    Fall 2018, Spring 2017 @ UPenn

12. Linear algebra (Math 312)

    Spring 2018 @ UPenn

13. Undergraduate Number Theory algebra (Math 350)

    Spring 2019 @ UPenn

14. Algebraic Number Theory (Math 620, 621)

    Spring 2019, Fall 2017 @ UPenn

15. Matrix algebra with applications (Math 308)

    Summer 2015, Winter 2015, Spring 2014, Winter 2014 @ UW

16. Ordinary differential equations (Math 307)

    Spring 2016 @ UW

17. Introduction to mathematical reasoning (Math 300)

    Summer 2013 @ UW