| Erwin Lutwak | |
| Caption: | Erwin Lutwak |
| Birth Date: | 9 February 1946 |
| Birth Place: | Chernivtsi, Ukraine |
| Nationality: | American |
| Field: | Mathematician |
| Work Institution: | Courant Institute of Mathematical Sciences New York University Tandon School of Engineering |
| Alma Mater: | New York University Tandon School of Engineering |
| Doctoral Advisor: | Heinrich Guggenheimer |
| Known For: | Convex geometry |
Erwin Lutwak (born 9 February 1946, Chernivtsi, now Ukraine), is a mathematician. Lutwak is professor emeritus at the Courant Institute of Mathematical Sciences at New York University in New York City. His main research interests are convex geometry and its connections with analysis and information theory.
He spent the earliest years of his childhood in the Soviet Union, Romania, Israel, Italy, and Venezuela before he settled in Brooklyn when he was ten. He graduated from the Polytechnic Institute of Brooklyn, now New York University Tandon School of Engineering with a B.S. in 1968, a M.S. in 1972 and with a Ph.D. in 1974. Before he became professor at the Courant Institute at NYU, he was a professor at New York University Tandon School of Engineering. His first position in 1975 was at the Polytechnic Institute of New York (which was created as a result of the merger of the Polytechnic Institute of Brooklyn and the NYU School of Engineering).[1]
He is a member of the editorial boards of the Advances in Mathematics,[2] the Canadian Journal of Mathematics,[3] the Canadian Mathematical Bulletin, and the Cambridge University Press Encyclopedia of Mathematics and its Applications.[4] He is an Honorary Editor at Advanced Nonlinear Studies (De Gruyter).[5]
Erwin Lutwak is known for his Dual Brunn Minkowski Theory, his notion of intersection body and his contribution to the solution of the Busemann–Petty problem,[6] for proving the long-conjectured upper-semicontinuity of affine surface area,[7] his contributions to the Lp Brunn Minkowski Theory and, in particular, his Lp Minkowski problem[8] and its solution in important cases.[9]
Dr. Lutwak is married to Nancy Lutwak, M.D.. They have one daughter, Hope Lutwak, who graduated with a Bachelor of Science in 2018 from the Massachusetts Institute of Technology. The family resides in Manhattan.