Matthias Flach (mathematician)
German mathematician
From Wikipedia, the free encyclopedia
Matthias Flach is a German mathematician, professor and former executive officer for mathematics (department chair) at California Institute of Technology.[1][2]
Born1963 (age 62–63)
KnownforAlgebraic geometry
ChildrenLucas Flach and Nicholas Flach
Matthias Flach | |
|---|---|
| Born | 1963 (age 62–63) |
| 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) |
| 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.