Fritz Grunewald

Fritz Alfred Joachim Grunewald (born March 28, 1949 in Bad Kreuznach ; † March 21, 2010 ) was a German mathematician who dealt with group theory and its applications in number theory , topology and geometry.

Fritz Grunewald, Oberwolfach 2009

life and work

Grunewald studied mathematics and physics at the University of Göttingen from 1969 and continued his studies from 1971 at the University of Bielefeld , where he obtained his diploma from Andreas Dress in 1972 and received his doctorate in 1973 from Jens Mennicke at the University of Bielefeld ( via a group of exponents 8 ). He was a post-doctoral student at Queen Mary College, University of London. He then worked as an assistant in Bielefeld, where he completed his habilitation in 1979 and then received a Heisenberg scholarship. From 1981 to 1992 he was a professor at the University of Bonn , where he also researched at the Max Planck Institute for Mathematics , and since 1992 he has been a professor at the Heinrich Heine University in Düsseldorf . Among other things, he was visiting scholar at the Institute for Advanced Study . Surprisingly, he probably died of a pulmonary embolism in 2010.

Among other things, Grunewald dealt with arithmetic groups in number theory, applications of group theory in geometry and topology and examined the relationship between zeta functions and group theoretical symmetries. He often worked with co-authors from many different countries, including Marcus du Sautoy and Dan Segal .

With Wilhelm Singhof and Holger Reich , he was involved in the graduate college on homotopy and cohomology . He was also significantly involved in the Classification of Algebraic Surfaces and Compact Complex Manifolds research group. He had over 30 PhD students.

On the occasion of his 60th birthday, the conference Group Theory, Number Theory and Geometry took place in Oxford in 2009. In 2001 he received the Reinhard and Emmi Heynen Prize.

literature

• Dan Segal: Fritz Grunewald, 1949-2010 , Annual Report of the German Mathematicians Association, Volume 113, 2010, Issue 1, pp. 3–20, doi : 10.1365 / s13291-010-0010-7

Fonts

• with Jürgen Elstrodt , Jens Mennicke: Group actions on hyperbolic spaces: harmonic analysis and number theory , Springer Verlag 1998
• On some groups which cannot be finitely presented. J. London Math. Soc. (2) 17 (1978) no. 3, 427-436.
• with Dan Segal : Some general algorithms. I. Arithmetic groups. Ann. of Math. (2) 112 (1980) no. 3, 531-583. II. Nilpotent groups. Ann. of Math. (2) 112 (1980) no. 3, 585-617.
• with Segal, Smith: Subgroups of finite index in nilpotent groups. Invent. Math. 93 (1988) no. 1, 185-223.
• with Elstrodt, Mennicke: Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues ​​of the Laplacian for congruence subgroups acting on hyperbolic spaces. Invent. Math. 101 (1990) no. 3, 641-685
• with Blasius, Jens Franke : Cohomology of S-arithmetic subgroups in the number field case. Invent. Math. 116 (1994) no. 1-3, 75-93.
• with Elstrodt: The Petersson Scalar Product , Annual Report DMV, Volume 100, 1998, No. 4
• with Marcus du Sautoy : Analytic properties of zeta functions and subgroup growth. Ann. of Math. (2) 152 (2000), no. 3, 793-833.
• with Martin Bridson : Grothendieck's problems concerning profinite completions and representations of groups. Ann. of Math. (2) 160 (2004) no. 1, 359-373.

Web links

• John J. O'Connor, Edmund F. Robertson :  Fritz Grunewald. In: MacTutor History of Mathematics archive .
• Obituary for Fritz Grunewald uni-duesseldorf.de

Individual evidence

1. ^ Fritz Grunewald in the Mathematics Genealogy Project (English)
2. ↑ He reports on his collaboration with Grunewald in his book Symmetry
3. ↑ Graduate College Homotopy and Cohomology ( Memento of the original from March 4, 2016 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice.