Matthias Flach (mathematician)

Matthias Flach
Education	Ph.D 1991 Mathematics
Alma mater	University of Cambridge, UK
Occupation	Professor / Dept. chair
Known for	Algebraic geometry
Website
http://www.math.caltech.edu/people/flach.html

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 (see 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. ^ http://www.ratemyprofessors.com/ShowRatings.jsp?tid=461802
2. ^ ^{a b} http://www.math.caltech.edu/people/flach.html
3. ^ http://genealogy.math.ndsu.nodak.edu/id.php?id=71484
4. ^ http://www.math.caltech.edu/papers/m2.pdf
5. ^ http://www.math.caltech.edu/papers/euler.pdf
6. ^ http://www.dpmms.cam.ac.uk/Seminars/Kuwait/abstracts/L56.pdf
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

• Department of Mathematics CalTech

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Name	Flach, Matthias
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