23. Iwasawa Invariants for Symmetric Square representations

11R23; preprint (Nov 2021), joint with Ramdorai Sujatha and Vinayak Vatsal

(arxiv link to be made available).

22. Statistics for p-ranks of Artin-Schreier covers

11G20; preprint (Oct 2021).

21. Rational points on Algebraic Curves in Infinite towers of Number fields

11G10, 11G30, 11R23; preprint (Oct 2021).

20. Arithmetic Statistics and Noncommutative Iwasawa theory

11G05, 11R23; preprint (Sep 2021), joint with Debanjana Kundu and Antonio Lei,

Documenta Mathematica : accepted with revisions.

19. Asymptotic Growth for Mordell-Weil Ranks of Elliptic curves in Noncommutative Towers

11G05, 11R23; preprint (Sep 2021),

18. Arithmetic Statistics and Diophantine Stability for Elliptic curves

11G05, 11R23; preprint (Sep 2021).

17. Arithmetic Statistics for Galois Deformation Rings

11G05, 11F80; preprint (Aug 2021), joint with Tom Weston.

16. Rank Jumps and Growth of Shafarevich-Tate groups of Elliptic curves in Z/pZ-extensions

11G05, 11R23; preprint (July 2021), joint with Lea Beneish and Debanjana Kundu.

15. Statistics for Iwasawa Invariants of Elliptic Curves, II

11R23; preprint (June 2021), joint with Debanjana Kundu.

14. Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves

11R23; preprint (May 2021), joint with Jeffrey Hatley and Debanjana Kundu.

13. Statistics for Iwasawa Invariants of Elliptic Curves

11R23; joint with Debanjana Kundu,

Transactions of the AMS (2021) Vol. 374, no.11, pp. 7945-7965.

12. Constructing Galois Representations with large Iwasawa lambda-invariant

11F80, 11R23; preprint (May 2021). 

11. On the mu-invariants of residually reducible Galois representations

11F80, 11R23; preprint (April 2021), joint with Ramdorai Sujatha.

10. Deformations of Reducible Galois Representations to Hida Families

11F80; to appear in the Int. J. Number theory.

9. Iwasawa Invariants for Elliptic Curves over Zp-extensions and Kida's formula

11R23; preprint (March 2021), joint with Debanjana Kundu.

8. Anticyclotomic mu-invariants of residually reducible Galois Representations

11R23; joint with Debanjana Kundu,

 to appear in the J. Number theory.

7. Deformations of Certain Reducible Galois Representations III

11F80; Int. J. Number theory (2021) Vol. 17, Issue 06 pp. 1429-1485.

6. Constructing Galois Representations Ramified at One Prime

11F80J. Number theory (2021) Vol. 222, pp. 168-180.

5. A Refined Lifting Theorem for Supersingular Galois Representations

11F80J. Number theory (2021) Vol. 229, pp. 282-313.

4. Euler Characteristics and their Congruences for Multi-signed Selmer groups

11R23; preprint (Nov 2020), joint with Ramdorai Sujatha,

Canadian J. of Mathematics : accepted with revisions.

3. On Picard Groups of Perfectoid Covers of Toric varieties

14G45; preprint (Nov 2020), joint with Gabriel Dorfsman-Hopkins and Peter Wear,

European J. of Mathematics : revisions.

2. Euler Characteristics and their Congruences in the Positive Rank setting

11R23; joint with Ramdorai Sujatha,

Canadian Math. Bull. (2021) Vol. 64, no. 1, pp. 228-245.

1. Constructing Certain Special Analytic Galois Extensions

11F80J. Number theory (2020) Vol. 212, pp. 105-112.  

  

MSC Subject classes:

11G05: Elliptic curves over Global fields

11G10: Abelian varieties of dimension >1

11G20: Curves over finite and local fields

11G30: Curves of arbitrary genus over 

global fields

11F80: Galois Representations

11R23: Iwasawa theory

14G45: Perfectoid spaces