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 Glossary of Riemannian and metric geometry, 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 Doctor of Philosophy, D.Phil. (Oxford equivalent of a Ph.D.) from the University of Oxford in 1980, under the supervision of Roger Penrose. In the same year he took a faculty position at Stony Brook.Math Department and Institute Faculty - by Rank
Stony Brook University, retrieved 2013-01-30. 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. He is the namesake of the Lebrun manifold, 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. LeBrun is also known for his work on Einstein manifolds and the Yamabe invariant. In particular, he produced examples showing that the Converse (logic)#Converse of a theorem, 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. In 2012, he became a Fellow of the American Mathematical Society. In 2016, a conference in his honor was held in Montreal. In 2018, he became a Simons Foundation Fellow in Mathematics. In 2020, he was appointed as Distinguished Professor at the State University of New York. Stony Brook University
retrieved 2020-12-10.

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{{DEFAULTSORT:Lebrun, Claude Living people 20th-century American mathematicians Rice University alumni Alumni of the University of Oxford Stony Brook University faculty Fellows of the American Mathematical Society Differential geometers 1956 births 21st-century American mathematicians