Erwin Lutwak

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Erwin Lutwak
Born (1946-02-09) 9 February 1946 (age 72)
Chernivtsi, Ukraine
Residence United States
Nationality American
Alma mater New York University Tandon School of Engineering
Known for Convex geometry
Scientific career
Fields Mathematician
Institutions Courant Institute of Mathematical Sciences
New York University Tandon School of Engineering
Doctoral advisor Heinrich Guggenheimer

Erwin Lutwak (born 9 February 1946, Chernivtsi, now Ukraine), is a mathematician. Lutwak is professor 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 became an Inaugural Fellow of the American Mathematical Society[2] in 2012 and received an honorary doctorate of the TU Wien in 2014.[3]


Erwin Lutwak is known for his Dual Brunn Minkowski Theory,[4] his notion of intersection body and his contribution to the solution of the Busemann–Petty problem,[5] for proving the long-conjectured[6] 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]


  1. ^ "Professor of Mathematics Erwin Lutwak Might Be Feted in the World's Capitals but Brooklyn Remains Home". Retrieved 26 November 2017.
  2. ^ "American Mathematical Society". Retrieved 26 November 2017.
  3. ^ "Technische Universität Wien : Akademische Würdenträger_innen". Retrieved 26 November 2017.
  4. ^ Lutwak, Erwin (1975). "Dual mixed volumes". Pacific Journal of Mathematics. 58: 531–538.
  5. ^ Lutwak, Erwin (1988), "Intersection bodies and dual mixed volumes", Advances in Mathematics, 71: 232–261.
  6. ^ "The first resource for mathematics". Retrieved 26 November 2017.
  7. ^ Lutwak, Erwin (1991), "Extended affine surface area", Advances in Mathematics, 85: 39–68.
  8. ^ Lutwak, Erwin (1993), "The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem.", Journal of Differential Geometry, 38: 131–150.
  9. ^ Böröczky, Karoly; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong (2013), "The logarithmic Minkowski problem.", Journal of the American Mathematical Society, 26: 831–852.

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