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- Tata Institute of Fundamental ResearchIN44 papers
- Pennsylvania State UniversityUS37 papers
- Cardiff UniversityGB36 papers
- Max Planck Institute for Gravitational PhysicsDE34 papers
- California Institute of TechnologyUS33 papers
- Centre National de la Recherche ScientifiqueFR33 papers
- Georgia Institute of TechnologyUS33 papers
- Institute for Plasma ResearchIN33 papers
- Leibniz University HannoverDE33 papers
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- Université Paris CitéFR33 papers
8 papers · 1 filter
Counting elliptic curves with prescribed entanglements
Zachary Couvillon, Anwesh Ray
We establish asymptotic lower bounds for the number of elliptic curves over with prescribed entanglement of division fields, ordered by naive height. Such elliptic cur…
An analogue of Kida's formula for Mazur-Tate elements
Naman Pratap, Anwesh Ray
We prove an analogue of Kida's formula for the Iwasawa invariants of the Mazur-Tate elements attached to elliptic curves over . Let be an odd prime and let be…
Selmer stability in families of congruent Galois representations
Anwesh Ray
In this article I study the variation of Selmer groups in families of modular Galois representations that are congruent modulo a fixed prime . Motivated by analogies with…
Selmer stability for elliptic curves in Galois -extensions
Siddhi Pathak, Anwesh Ray
We study the behavior of Selmer groups of an elliptic curve in finite Galois extensions with prescribed Galois group. Fix a prime , a finite group w…
Diophantine approximation and the subspace theorem
Shivani Goel, Rashi Lunia, Anwesh Ray
Diophantine approximation explores how well irrational numbers can be approximated by rationals, with foundational results by Dirichlet, Hurwitz, and Liouville culminating in Roth'…
Extreme values of -functions of newforms
Sanoli Gun, Rashi Lunia
In 2008, Soundararajan showed that there exists a normalized Hecke eigenform of weight and level one such that $$ L(1/2, f ) ~\geq~ \exp\Bigg( (1 + o(1)) \sqrt{\frac{2\log…