Research

Preprints

  1. An analogue of Kida's formula in graph theory. (With Anwesh Ray.) Preprint

  2. On the distribution of Iwasawa invariants associated with multigraphs. (With Cédric Dion, Antonio Lei and Anwesh Ray.) Preprint

  3. On (Zl)d-towers of graphs. (With Sage DuBose.) Preprint

  4. The non-l-part of the number of spanning trees in abelian l-towers of multigraphs. (With Antonio Lei.) Preprint

  5. The special value u=1 of Artin-Ihara L-functions. (With Kyle Hammer, Thomas W. Mattman and Jonathan W. Sands.) Preprint

Published or accepted for publication

  1. On abelian l-towers of multigraphs III. (With Kevin McGown.) To appear in Annales Mathématiques du Québec. Preprint

  2. On abelian l-towers of multigraphs II. (With Kevin McGown.) To appear in Annales Mathématiques du Québec. Preprint

  3. On abelian l-towers of multigraphs. Annales Mathématiques du Québec, 45 (2021), 2, 433-452. Preprint

  4. Numerical evidence for higher order Stark-type conjectures. (With Kevin McGown and Jonathan Sands.) Mathematics of Computation, 88 (2019), 389-420. Preprint

  5. Weyl groups of some hyperbolic Kac-Moody algebras. (With Alex Feingold.) Journal of Algebra, 500 (2018), 457-497. Preprint

  6. A remark on a result of Iwasawa on Hecke characters of type A_0. International Journal of Number Theory, 10 (2014), 8, 1939-1953. Preprint

  7. The equivariant Tamagawa number conjecture and the extended abelian Stark conjecture. Journal für die reine und angewandte Mathematik, 734 (2018), 1-58. Preprint

  8. Theoretical evidence in support of the extended abelian rank one Stark conjecture when the base field is Q. Acta Arithmetica, 156 (2012), 4, 383-402. Preprint

  9. On a generalization of the rank one Rubin-Stark conjecture. Journal of Number Theory, 132 (2012), 11, 2535-2567. Preprint

  10. Connected complex abelian Lie groups and number fields. Journal de Théorie des Nombres de Bordeaux, 24 (2012), 1, 201-229. Preprint


Theses

  1. On a generalization of the rank one Rubin-Stark conjecture, Ph.D. thesis.

  2. Class invariants, Master's thesis.