217 citations
- University of OttawaCA3 papers
- Boston CollegeUS2 papers
- Stanford UniversityUS2 papers
- University of BristolGB2 papers
- University of California, BerkeleyUS2 papers
- University of California San DiegoUS2 papers
- University of California SystemUS2 papers
- University of LethbridgeCA2 papers
- University of Massachusetts AmherstUS2 papers
- University of Southern CaliforniaUS2 papers
- Bar-Ilan UniversityIL1 paper
- Ben-Gurion University of the NegevIL1 paper
9 papers · 1 filter
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…
The distribution of the Tamagawa ratio in the family of elliptic curves with a two-torsion point
Zev Klagsbrun, Robert J. Lemke Oliver
In recent work, Bhargava and Shankar have shown that the average size of the -Selmer group of an elliptic curve over is exactly , and Bhargava and Ho have shown…
Selmer Ranks of Quadratic Twists of Elliptic Curves with Partial Rational Two-Torsion
Zev Klagsbrun
This paper investigates which integers can appear as 2-Selmer ranks within the quadratic twist family of an elliptic curve E defined over a number field K with E(K)[2] = Z/2Z. We s…
Resolutions of the Steinberg module for GL(n)
Avner Ash, Paul E. Gunnells, Mark McConnell
We give several resolutions of the Steinberg representation St_n for the general linear group over a principal ideal domain, in particular over Z. We compare them, and use these re…
Torsion in the cohomology of congruence subgroups of SL(4,Z) and Galois representations
Avner Ash, Paul E. Gunnells, Mark McConnell
We report on the computation of torsion in certain homology theories of congruence subgroups of SL(4,Z). Among these are the usual group cohomology, the Tate-Farrell cohomology, an…
Everywhere ramified towers of global function fields
Iwan Duursma, Bjorn Poonen, Michael Zieve
We consider a tower of function fields F_0 < F_1 < ... over a finite field such that every place of every F_i ramified in the tower and the sequence genus(F_i)/[F_i:F_0] has a fini…