Matthias Flach is a German mathematician, professor and former executive officer for mathematics (department chair) at California Institute of Technology.
Research interests includes:
Arithmetic algebraic geometry (see Glossary of arithmetic and Diophantine geometry).
Special values of L-functions.
Conjectures of:
Bloch
Beilinson
Deligne
Bloch–Kato conjecture (see also List of conjectures).
Galois module theory.
Motivic cohomology.
Ph.D. University of Cambridge UK 1991 Dissertation: Selmer groups for the Symmetric Square of an Elliptic Curve – Algebraic geometry
B.A., J.W. Goethe Universität, Frankfurt, Germany, 1986
Iwasawa Theory and Motivic L-functions (2009) – Flach, Matthias
On Galois structure invariants associated to Tate motives – Matthias Flach and D. Burns, King's College London
On the Equivariant Tamagawa Number Conjecture for Tate Motives, Part II. (2006) – Burns, David; Flach, Matthias.
Euler characteristics in relative K-groups – Matthias Flach
The equivariant Tamagawa number conjecture: A survey (with an appendix by C. Greither) – Matthias Flach
A geometric example of non-abelian Iwasawa theory, June 2004, Canadian Number Theory Association VIII Meeting – Flach, Matthias.
The Tamagawa number conjecture of adjoint motives of modular forms (2004) – Diamond, Fred; Flach, Matthias; Guo, Li.
Adjoint motives of modular forms and the Tamagawa number conjecture (2001) – Fred Diamond; Matthias Flach; Li Guo.
