Erwin Lutwak

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Erwin Lutwak (born February 9, 1946 in Chernivtsi ) is an American mathematician . Lutwak is a 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 .

Career

Lutwak spent his childhood in the Soviet Union, Romania, Israel, Italy and Venezuela until he moved to Brooklyn at the age of 10. He studied at the Polytechnic Institute of Brooklyn, now New York University Tandon School of Engineering , where he received his BS in 1968 , his MS in 1972 and his Ph.D. in 1974. from. His doctoral supervisor was Heinrich Walter Guggenheimer . Before professor at the Courant Institute of NYU was, he was a professor at New York University School of Engineering Tandon. His first position was in 1975 at the Polytechnic Institute of New York (which arose from the merger of the Polytechnic Institute of Brooklyn and the NYU School of Engineering).

He serves on the editorial boards of the Advances in Mathematics , the Canadian Journal of Mathematics , the Canadian Mathematical Bulletin , and the Cambridge University Press Encyclopedia of Mathematics and its Applications.

Lutwak became an Inaugural Fellow of the American Mathematical Society in 2012 and an honorary doctorate from the Vienna University of Technology in 2014 .

research

Erwin Lutwak is known for his dual Brunn-Minkowski theory , his definition of the intersecting body and his contributions to the solution of the Busemann-Petty problem , for his proof of the long suspected super-continuity of the affine surface, his contributions to the L p -Brunn-Minkowski theory and, in particular, his L p -Minkowski problem and its solution in important cases.

Web links

Individual evidence

  1. ↑ Professor of Mathematics Erwin Lutwak Might Be feted in the World's capital but Brooklyn Remains Home . Retrieved November 26, 2017.
  2. ^ Advances in Mathematics - Editorial Board . Retrieved January 15, 2019.
  3. ↑ a b CJM / CMB Editorial Board . Retrieved January 15, 2019.
  4. ^ Encyclopedia of Mathematics and its Applications . Retrieved January 15, 2019.
  5. ^ American Mathematical Society . Retrieved November 26, 2017.
  6. ↑ Vienna University of Technology: Academic dignitaries . Archived from the original on February 21, 2016. Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. Retrieved November 26, 2017. @1@ 2Template: Webachiv / IABot / www.tuwien.ac.at
  7. ↑ Erwin Lutwak: Dual mixed volumes. Pacific Journal of Mathematics 58: 531-538 (1975).
  8. ↑ Erwin Lutwak: Intersection bodies and dual mixed volumes. Advances in Mathematics 71: 232-261 (1988).
  9. ^ The first resource for mathematics . Retrieved November 26, 2017.
  10. ↑ Erwin Lutwak: Extended affine surface area. Advances in Mathematics, 85: 39-68 (1991).
  11. ↑ Erwin Lutwak: The Brunn-Minkowski Firey theory. I. Mixed volumes and the Minkowski problem. Journal of Differential Geometry, 38: 131-150 (1993).
  12. ↑ Karoly Böröczky, Erwin Lutwak, Deane Yang, Gaoyong Zhang: The logarithmic Minkowski problem. Journal of the American Mathematical Society 26 (2013), 831-852.
personal data
SURNAME Lutwak, Erwin
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH February 9, 1946
PLACE OF BIRTH Chernivtsi