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]

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]
• B.A., J.W. Goethe Universität, 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.

Notes

References

• ScientificCommons Publication List
• Seminar on Fermat's last theorem By Vijaya Kumar Murty, Fields Institute for Research in Mathematical Sciences
• The Fermat diary By Charles J. Mozzochi

External links

• Flach's Homepage at Caltech