UBC is located on the traditional, ancestral, and unceded territory of the xʷməθkʷəy̓əm (Musqueam) First Nation.
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
11F80; J. Number theory (2021) Vol. 222, pp. 168-180.
5. A Refined Lifting Theorem for Supersingular Galois Representations
11F80; J. 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
11F80; J. Number theory (2020) Vol. 212, pp. 105-112.
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