Dror Bar-Natan

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Dror Bar-Natan, Berkeley 1999

Dror Bar-Natan (born January 30, 1966 in Israel ) is an Israeli -American mathematician who deals with knot theory and low-dimensional topology .

Bar-Natan studied mathematics at Tel Aviv University ( bachelor's degree in 1984) and interrupted his military service (as a mathematics teacher) from 1987 at Princeton University , where he received his doctorate in mathematics under Edward Witten in 1991 ( Perturbative Aspects of the Chern- Simon's Topological Quantum Field Theory ), As a post-doctoral student , he was Benjamin Peirce Assistant Professor at Harvard University from 1991 to 1995 . He was then Senior Lecturer at the Hebrew University in Jerusalem and from 2002 Associate Professor and from 2006 Professor at the University of Toronto . In 1999/2000 he was Visiting Miller Professor at the University of California, Berkeley and at MSRI .

Among other things, Bar-Natan dealt with topological quantum field theory , especially the Chern-Simons theory and its use to obtain knot invariants (first recognized by Edward Witten): he proved that this topological quantum field theory delivers knot invariants in every order of perturbation theory. He dealt with Vassiliev invariants and Khovanov homology , to which he made significant contributions.

He criticized other the Bible Code by Michael Drosnin by showing that these methods any messages from the Bible can find as in other works such as Tolstoy's War and Peace.

Bar-Natan is co-editor of Compositio Mathematica. He has both Israeli and US citizenship.

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. Bar-Natan Perturbative Chern-Simons theory , Journal of Knot Theory and its Ramifications, Volume 4, 1995, pp. 503-548
  3. Dror Bar-Natan, On the Vassiliev knot invariants , Topology, Volume 34, 1995, pp. 423-472
  4. Bar-Natan On Khovanov's Categorification of the Jones Polynomial , Algebraic and Geometric Topology, Volume 2, 2002, pp. 337-370, Bar-Natan's website on this
  5. ^ Dror Bar-Natan, Brendan McKay, Gil Kalai , Maya Bar-Hillel Solving the Bible Code Puzzle , Statistical Science, Volume 14, 1999, pp. 150-173, Bar-Natan, McKay, Bar-Hillel The Torah Codes: Puzzle and Solutions , Chance, Volume 11, 1998, pp. 13-19