Matthias Flach is a
German mathematician,
professor and former executive officer for mathematics (department chair) at
California Institute of Technology.
Professional overview
Research interests includes:
*Arithmetic
algebraic geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical ...
(see
Glossary of arithmetic and Diophantine geometry).
*
Special values of L-functions.
*
Conjectures of:
**
Bloch Bloch is a surname of German origin. Notable people with this surname include:
A–F
* (1859-1914), French rabbi
*Adele Bloch-Bauer (1881-1925), Austrian entrepreneur
*Albert Bloch (1882–1961), American painter
* (born 1972), German motor journal ...
**
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
In mathematics, the symmetric algebra (also denoted on a vector space over a field is a commutative algebra over that contains , and is, in some sense, minimal for this property. Here, "minimal" means that satisfies the following universal ...
of an
Elliptic Curve – Algebraic geometry
*Diplom,
Goethe University Frankfurt
Goethe University (german: link=no, Johann Wolfgang Goethe-Universität Frankfurt am Main) is a university located in Frankfurt am Main, Germany. It was founded in 1914 as a citizens' university, which means it was founded and funded by the wealt ...
,
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
King's College London (informally King's or KCL) is a public research university located in London, England. King's was established by royal charter in 1829 under the patronage of King George IV and the Duke of Wellington. In 1836, King's ...
*On the
Equivariant Tamagawa Number Conjecture for Tate Motives, Part II. (2006) – Burns, David; Flach, Matthias.
*
Euler characteristic
In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space ...
s in relative
K-groups – Matthias Flach
*The
equivariant Tamagawa number conjecture: A survey (with an appendix by
C. Greither) – Matthias Flach
[http://www.math.caltech.edu/papers/baltimore-final.pdf ]
*A geometric example of non-
abelian
Abelian may refer to:
Mathematics Group theory
* Abelian group, a group in which the binary operation is commutative
** Category of abelian groups (Ab), has abelian groups as objects and group homomorphisms as morphisms
* Metabelian group, a grou ...
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
Fred Irvin Diamond (born November 19, 1964) is a mathematician, known for his role in proving the modularity theorem for elliptic curves. His research interest is in modular forms and Galois representations.
Diamond received his B.A. from the Un ...
; Matthias Flach; Li Guo.
Notes
References
ScientificCommons Publication ListSeminar on Fermat's last theorem By Vijaya Kumar Murty, Fields Institute for Research in Mathematical SciencesThe Fermat diary By Charles J. Mozzochi
External links
Living people
1963 births
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