Matthias Flach (mathematician) explained

Matthias Flach
Nationality:	German
Fields:	Mathematics
Workplaces:	California Institute of Technology
Alma Mater:	University of Cambridge Goethe University Frankfurt
Thesis Title:	Selmer groups for the symmetric square of an elliptic curve
Thesis Url:	https://idiscover.lib.cam.ac.uk/permalink/f/t9gok8/44CAM_ALMA21428147910003606
Thesis Year:	1991
Doctoral Advisor:	John Coates
Known For:	Algebraic geometry
Children:	Lucas Flach and Nicholas Flach

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:

• 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.

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

Notes and References

1. Web site: Matthias Flach at California Institute of Technology - RateMyProfessors.com. 18 March 2016.
2. Web site: Matthias Flach. 18 March 2016.
3. Web site: The Mathematics Genealogy Project - Matthias Flach. 18 March 2016.
4. http://www.math.caltech.edu/papers/m2.pdf
5. http://www.math.caltech.edu/papers/euler.pdf
6. Web site: Archived copy . 2009-07-31 . https://web.archive.org/web/20140219132342/https://www.dpmms.cam.ac.uk/Seminars/Kuwait/abstracts/L56.pdf . 2014-02-19 . dead .
7. http://www.math.caltech.edu/papers/baltimore-final.pdf