7.7k citations
- Wake Forest University Health SciencesUS20 papers
- Georgia Institute of TechnologyUS15 papers
- Rutgers, The State University of New JerseyUS15 papers
- Los Alamos National LaboratoryUS14 papers
- Universitat de ValènciaES14 papers
- University of WashingtonUS14 papers
- North Carolina State UniversityUS12 papers
- The University of Texas at DallasUS12 papers
- Centre National de la Recherche ScientifiqueFR10 papers
- Goethe University FrankfurtDE10 papers
- Cornell UniversityUS9 papers
- Johns Hopkins UniversityUS9 papers
25 papers · 1 filter
Near coincidences and nilpotent division fields
Harris Daniels, Jeremy Rouse
Let be an elliptic curve. We say that has a near coincidence of level if and . We classify near coi…
Opposing Average Congruence Class Biases in the Cyclicity and Koblitz Conjectures for Elliptic Curves
Sung Min Lee, Jacob Mayle, Tian Wang
The cyclicity and Koblitz conjectures ask about the distribution of primes of cyclic and prime-order reduction, respectively, for elliptic curves over . In 1976, Serre…
Minimal torsion curves in geometric isogeny classes
Abbey Bourdon, Nina Ryalls, Lori D. Watson
In this paper, we introduce the study of minimal torsion curves within a fixed geometric isogeny class. For a -isogeny class of elliptic curves…
Towards a classification of isolated -invariants
Abbey Bourdon, Sachi Hashimoto, Timo Keller +5
We develop an algorithm to test whether a non-CM elliptic curve gives rise to an isolated point of any degree on any modular curve of the form . This builds…
On the effective version of Serre's open image theorem
Jacob Mayle, Tian Wang
Let be an elliptic curve without complex multiplication. By Serre's open image theorem, the mod Galois representation of is surject…
-adic images of Galois for elliptic curves over
Jeremy Rouse, Andrew V. Sutherland, David Zureick-Brown
We discuss the -adic case of Mazur's "Program B" over , the problem of classifying the possible images of -adic Galois representations attached to elliptic…