111 citations · 114 across the 8 of their papers we have counts for
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math.NT2010
A Golod-Shafarevich Equality and p-Tower Groups
Cam McLeman
All current techniques for showing that a number field has an infinite p-class field tower depend on one of various forms of the Golod-Shafarevich inequality. Such techniques can a…
math.NT2010★ 2 cited
Class number formulas via 2-isogenies of elliptic curves
Cam McLeman, Christopher Rasmussen
A classical result of Dirichlet shows that certain elementary character sums compute class numbers of quadratic imaginary number fields. We obtain analogous relations between class…
math.NT2010
Infinite Hilbert Class Field Towers from Galois Representations
Kirti Joshi, Cameron McLeman
We investigate class field towers of number fields obtained as fixed fields of modular representations of the absolute Galois group of the rational numbers. First, for each $k\in\{…