Matthias Flach (mathematician)

{{Infobox scientist

| name = Matthias Flach

| image =

| image_size =

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| birth_date = {{birth year and age |1963}}

| birth_place =

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| 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

| doctoral_students =

| known_for = Algebraic geometry

| awards =

| 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.{{cite web|url=http://www.ratemyprofessors.com/ShowRatings.jsp?tid=461802|title=Matthias Flach at California Institute of Technology - RateMyProfessors.com|publisher=|accessdate=18 March 2016|archive-date=28 March 2016|archive-url=https://web.archive.org/web/20160328004911/http://www.ratemyprofessors.com/ShowRatings.jsp?tid=461802|url-status=dead}}{{cite web|url=http://www.math.caltech.edu/people/flach.html|title=Matthias Flach|publisher=|accessdate=18 March 2016}}

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 {{cite web|url=http://genealogy.math.ndsu.nodak.edu/id.php?id=71484|title=The Mathematics Genealogy Project - Matthias Flach|publisher=|accessdate=18 March 2016}}
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 Londonhttp://www.math.caltech.edu/papers/m2.pdf {{Bare URL PDF|date=March 2022}}
On the Equivariant Tamagawa Number Conjecture for Tate Motives, Part II. (2006) – Burns, David; Flach, Matthias.
Euler characteristics in relative K-groups – Matthias Flachhttp://www.math.caltech.edu/papers/euler.pdf {{Bare URL PDF|date=March 2022}}
The equivariant Tamagawa number conjecture: A survey (with an appendix by C. Greither) – Matthias Flach{{Cite web |url=http://www.dpmms.cam.ac.uk/Seminars/Kuwait/abstracts/L56.pdf |title=Archived copy |access-date=2009-07-31 |archive-url=https://web.archive.org/web/20140219132342/https://www.dpmms.cam.ac.uk/Seminars/Kuwait/abstracts/L56.pdf |archive-date=2014-02-19 |url-status=dead }}http://www.math.caltech.edu/papers/baltimore-final.pdf {{Bare URL PDF|date=March 2022}}
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

[http://en.scientificcommons.org/matthias_flach ScientificCommons Publication List]
[https://books.google.com/books?id=b6bmQ9-NsTcC&dq=%22Matthias+Flach%22&pg=PA249 Seminar on Fermat's last theorem By Vijaya Kumar Murty, Fields Institute for Research in Mathematical Sciences]
[https://books.google.com/books?id=4RVldJoYHToC&dq=%22Matthias+Flach%22&pg=PA64 The Fermat diary By Charles J. Mozzochi]

External links

[http://www.math.caltech.edu/people/flach.html Flach's Homepage at Caltech]

Category:Living people

Category:1963 births