Claude LeBrun
Claude LeBrun | |
---|---|
LeBrun-Salamon Conjecture | |
Scientific career | |
Fields | Mathematics |
Institutions | Stony Brook University |
Doctoral advisor | Roger Penrose |
Doctoral students | Christina Tønnesen-Friedman |
Claude R. LeBrun (born 1956) is an American mathematician who holds the position of Distinguished 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 the Master of Arts at Rice University in 1977 in mathematics, followed by his D.Phil. (Oxford equivalent of a Ph.D.) from the University of Oxford in 1980, under the supervision of Roger Penrose.[1] In the same year he took a faculty position at Stony Brook.[2] Since then, he has also held positions at the
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] In 2018, he became a Simons Foundation Fellow in Mathematics.[7] In 2020, he was appointed as Distinguished Professor at the State University of New York.[8]
References
- ^ Claude R. LeBrun at the Mathematics Genealogy Project
- ^ a b 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.
- S2CID 119433129
- ^ List of Fellows of the American Mathematical Society, retrieved 2013-01-27.
- ^ Conference on Differential Geometry, retrieved 2016-10-08.
- ^ Simons Foundation, retrieved 2018-04-28.
- ^ Stony Brook University, retrieved 2020-12-10.