4 citations · 5 across the 3 of their papers we have counts for
4 papers
Normal distribution of bad reduction
Robert J. Lemke Oliver, Daniel Loughran, Ari Shnidman
We prove normal distribution laws for primes of bad semistable reduction in families of curves. As a consequence, we deduce that when ordered by height, of curves in these…
The average size of -torsion in class groups of -extensions
Robert J. Lemke Oliver, Jiuya Wang, Melanie Matchett Wood
We determine the average size of the 3-torsion in class groups of -extensions of a number field when is any transitive -group containing a transposition, for example $D_4…
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…
Bounded gaps between primes in number fields and function fields
Abel Castillo, Chris Hall, Robert J. Lemke Oliver +2
The Hardy--Littlewood prime -tuples conjecture has long been thought to be completely unapproachable with current methods. While this sadly remains true, startling breakthroughs…