Research

Preprints

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

Published or accepted for publication

1. Iwasawa theory for branched  Zp-towers of finite graphs.  (With Rusiru Gambheera.) To appear in Documenta Mathematica.  Preprint

2. Spanning trees in Z-covers of a finite graph and Mahler measures.  (With Riccardo Pengo.) To appear in Journal of the Australian Mathematical Society.  Preprint

3. Elliptic curves over finite fields and Ramanujan graphs on two vertices.  Integers, 24 (2024), Paper No. A8.  Preprint

4. On the distribution of Iwasawa invariants associated with multigraphs.  (With Cédric Dion, Antonio Lei and Anwesh Ray.) Nagoya Mathematic Journal, 253 (2024), 48-90. Preprint

5. On (Zl)d-towers of graphs. (With Sage DuBose.)  Algebraic Combinatorics, 6 (2023), 5, 1331-1346.  Preprint

6. The non-l-part of the number of spanning trees in abelian l-towers of multigraphs.  (With Antonio Lei.)  Research in Number Theory, 9 (2023), 1, Paper no. 18.  Preprint

7. On abelian l-towers of multigraphs III.  (With Kevin McGown.)  Annales Mathématiques du Québec, 48 (2024), 1, 1-19.  Preprint

8. On abelian l-towers of multigraphs II.  (With Kevin McGown.)  Annales Mathématiques du Québec, 47 (2023), 2, 461-473.  Preprint

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

10. The special value u=1 of Artin-Ihara L-functions.  (With Kyle Hammer, Thomas W. Mattman and Jonathan W. Sands.)  Proceedings of the American Mathematical Society, 152 (2024), 2, 501-514.  Preprint

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

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

13. 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

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

15. 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

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

17. 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.