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
Education	Ph.D 1991 Mathematics
Alma mater	University of Cambridge, UK
Known for	Algebraic geometry
Scientific career
Doctoral advisor	John Coates
Website	http://www.math.caltech.edu/people/flach.html

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

1. "Matthias Flach at California Institute of Technology - RateMyProfessors.com". Retrieved 18 March 2016.
2. "Matthias Flach". Retrieved 18 March 2016.
3. "The Mathematics Genealogy Project - Matthias Flach". Retrieved 18 March 2016.
4. http://www.math.caltech.edu/papers/m2.pdf
5. http://www.math.caltech.edu/papers/euler.pdf
6. "Archived copy" (PDF). Archived from the original (PDF) on 2014-02-19. Retrieved 2009-07-31.CS1 maint: archived copy as title (link)
7. http://www.math.caltech.edu/papers/baltimore-final.pdf

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