Matthias Flach (mathematician)

Matthias Flach is a German mathematician, professor and former executive officer for mathematics (department chair) at California Institute of Technology.^[1][2]

Matthias Flach
Born	1963 (age 61–62)
Nationality	German
Alma mater	University of Cambridge Goethe University Frankfurt
Known for	Algebraic geometry
Children	Lucas Flach and Nicholas Flach
Scientific career
Fields	Mathematics
Institutions	California Institute of Technology
Thesis	Selmer groups for the symmetric square of an elliptic curve (1991)
Doctoral advisor	John Coates

Professional overview

Research interests includes:^[2]

• 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.

Education overview

• Ph.D. University of Cambridge UK 1991 Dissertation: Selmer groups for the Symmetric Square of an Elliptic Curve – Algebraic geometry ^[3]
• Diplom, Goethe University Frankfurt, Germany, 1986

Publications

• 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^[4]
• On the Equivariant Tamagawa Number Conjecture for Tate Motives, Part II. (2006) – Burns, David; Flach, Matthias.
• Euler characteristics in relative K-groups – Matthias Flach^[5]
• The equivariant Tamagawa number conjecture: A survey (with an appendix by C. Greither) – Matthias Flach^[6][7]
• 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.