Claude LeBrun
Claude R. LeBrun is an American mathematician and professor of mathematics at Stony Brook University. Much of his research concerns the Riemannian geometry of 4-manifolds, or related topics in complex and differential geometry.
LeBrun earned his D.Phil. (= Ph.D.) from the University of Oxford in 1980, under the supervision of Roger Penrose,[1] and in the same year took a faculty position at Stony Brook.[2] Since then, he has also held positions at the Institut des Hautes Études Scientifiques, the Mathematical Sciences Research Institute, and the Institute for Advanced Study.[3]
He is the namesake of the LeBrun Manifolds, a family of self-dual manifolds that he discovered in 1989 and that was named after him by Michael Atiyah and Edward Witten.[4] LeBrun is also known for his work on Einstein manifolds and the Yamabe invariant. In particular, he produced examples showing that the converse of the Hitchin–Thorpe inequality does not hold: there exist infinitely many four-dimensional compact smooth simply connected manifolds that obey the inequality but do not admit Einstein metrics.
LeBrun was an invited speaker at the 1994 International Congress of Mathematicians.[2] In 2012 he became a Fellow of the American Mathematical Society.[5] In 2016, a conference in his honor was held in Montreal. [6]
References
- ↑ Claude R. LeBrun at the Mathematics Genealogy Project
- 1 2 Math Department and Institute Faculty - by Rank, Stony Brook University, retrieved 2013-01-30.
- ↑ A Community of Scholars | Institute for Advanced Study, retrieved 2013-05-15.
- ↑ Atiyah, Michael; Witten, Edward (2002), "M-theory dynamics on a manifold of G2 holonomy", Advances in Theoretical and Mathematical Physics, 6 (1): 1–106, ISSN 1095-0761
- ↑ List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
- ↑ Conference on Differential Geometry, retrieved 2016-10-08.