Selman Akbulut
Selman Yusuf Akbulut (born April 23, 1949 in Balikesir , Turkey ) is a Turkish mathematician who deals with geometric topology .
Akbulut studied at the University of California, Berkeley with a bachelor's degree in 1971 and a doctorate in 1975 with Robion Kirby (Algebraic equations for a class of PL-manifolds). As a post-doctoral student he was at the Institute for Advanced Study in 1975/76 (as well as 1980/81, 2002 and 2005) . In 1976 he was Assistant Professor at the University of Wisconsin , 1978 at Rutgers University and Assistant Professor in 1981, Associate Professor in 1983 and Professor at Michigan State University in 1986 . He was officially released from MSU on February 14, 2020 on charges of repeatedly sending out emails in which he attacked people without merit. This was preceded by a protracted dispute in the university that began with Akbulut refusing to give a course assigned to him after another course was canceled by him.
In 1982/83 he was at the Max Planck Institute for Mathematics in Bonn, 1984/85 and several times thereafter at the MSRI , in 1998 at the Feza Gürsey Institute and in 2005 at Harvard University .
Akbulut proved with Henry C. King that every compact PL-manifold is a real algebraic set , and with King found new topological invariants of real algebraic sets . He was particularly concerned with low-dimensional manifolds, especially 4-manifolds . His construction of Akbulut corks (first in 1988, so called by Kirby) contains exotic differential structures and is used in counterexamples for the validity of Stephen Smale's h-cobordism theorem for smooth manifolds in 4 dimensions. Akbulut deals with the open smooth Poincaré conjecture in dimension 4. The Poincaré conjecture was proven by Michael Freedman in this dimension, but the question remained whether there are simply connected , closed 4-manifolds that are homeomorphic to 4 spheres are, but not diffeomeorphic ( smooth Poincaré conjecture ).
1983 to 1985 he was a Sloan Research Fellow .
Fonts
- with HC King: Real algebraic variety structures on PL manifolds, Bulletin AMS, Volume 83, 1977, 2
- with HC King: The topology of real algebraic sets with isolated singularities, Annals of Mathematics, Volume 113, 1981, pp. 425-446
- with HC King: Topology of Real Algebraic Sets, L'Enseignment Math., Volume 29, 1983, pp. 221-261
- with HC King: Topology of Real Algebraic Sets, MSRI Book Series 25, Springer Verlag 1992
- On representing homology classes of 4-manifolds, Inventiones Mathematicae, Volume 49, 1978, pp. 193-198
- A Fake compact contractible 4-manifold, Journ. of Diff. Geom., Volume 33, 1991, pp. 335-356 (Akbulut-Korken)
- with K. Yasui: Corks, Plugs and exotic structures, Journal of Gökova Geometry Topology, Volume 2, 2008, pp. 40-82
- A solution to a conjecture of Zeeman, Topology, Vol. 30, 1991, pp. 513-515.
- with R. Maveyev: A convex decomposition theorem for 4-manifolds, Int. Math. Res. Notes, No. 7, 1998, pp. 371-381
- Scharlemann's manifold is standard, Annals of Mathematics, Volume 149, 1999, pp. 497-510.
- Cappell-Shaneson homotopy spheres are standard, Annals of Mathematics, Volume 171, 2010, pp. 2171-2175.
- Cappell-Shaneson's 4-dimensional s-cobordism, Geometry-Topology, Volume 6, 2002, pp. 425-494.
- with John D. McCarthy: Casson's invariant for oriented homology 3-spheres. An exposition, Princeton University Press, 1990
Web links
Individual evidence
- ↑ Life data according to the membership book of the IAS
- ↑ Selman Akbulut in the Mathematics Genealogy Project (English)
- ^ Samuel L. Stanley: Dismissal of Tenured Faculty for Cause . Retrieved February 14, 2020.
- ↑ MSU Trustees dismiss tenured professor, address Title IX investigation delays . In: WWMT , February 14, 2020.
- ↑ First Simon Donaldson proved the invalidation of the theorem in this case
| personal data | |
|---|---|
| SURNAME | Akbulut, Selman |
| ALTERNATIVE NAMES | Akbulut, Selman Yusuf |
| BRIEF DESCRIPTION | Turkish mathematician |
| DATE OF BIRTH | April 23, 1949 |
| PLACE OF BIRTH | Balikesir |