### Principal research interests

-- The Tamagawa Number Conjecture of Bloch and Kato (and its equivariant refinement).

-- Iwasawa Theory (including aspects of
non-commutative Iwasawa Theory).

-- Stark's Conjecture (and various natural
integral refinements of
this conjecture).

-- Epsilon constants and de Rham structure
invariants associated to arithmetic schemes with a finite group action.

-- Algebraic K-theory and homological algebra.

### Research Publications

For publications and preprints since 2000 see

here.

For a full list of publications see

MathSciNet.

### Ph.D. students

###
Sey Kim: "On the equivariant Tamagawa number conjecture for Quaternion fields", 2001

Anthony Hayward: "Congruences satisfied by Stark units", 2004

Manuel Breuning: "Equivariant epsilon constants for Galois extensions of number fields and p-adic fields", 2004

Andrew Jones: "Dirichlet *L*-functions at s = 1", 2007

Andrew Parker: "Equivariant Tamagawa numbers and non-commutative Fitting invariants"
(PDF),
2007

James Barrett: "Annihilating the Tate-Shafarevic groups of Tate motives", 2009

Claire Ward: "On geometric Zeta functions, epsilon constants and canonical classes", 2011

Daniel Macias-Castillo: "On the values of derivatives of Dirichlet and Hasse-Weil *L*-functions", 2011

Carl Hahn (from October 2008)

Hugo Castillo (from October 2009)

Alice Livingstone Boomla (from September 2012)

Asuka Kumon (from September 2012)