Adrian Ocneanu

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Adrian Ocneanu is a Romanian-American mathematician.

Adrian Ocneanu, Berkeley 1984

Ocneanu won the gold medal at the International Mathematical Olympiad in 1974. He received his PhD in 1983 from Ciprian Foias at the University of Warwick on Von Neumann Algebras (Actions of Discrete Amenable Groups on von Neumann Algebras). He was then a Miller Fellow at the University of California, Berkeley until 1985 . In 1987 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ). He is a professor at Pennsylvania State University . Among other things, he was visiting scholar at the Collège de France and in Tokyo.

In 1985 he was one of the discoverers of the HOMFLY polynomial in knot theory (and stands for the O in the name). The others are Jim Hoste , Kenneth Millett , Peter Freyd , WBR Lickorish , David Yetter .

For the University of Pennsylvania, he designed the Octacube , a three-dimensional structure made of stainless steel that represents the three-dimensional projection of a four-dimensional regular polytope (24-cell, see Hurwitzquaternion ). It was donated in his memory by the widow of a math graduate of the university who was killed on 9/11 (Kermit C. Anderson).

He deals with operator algebras (theory of sub-factors in von Neumann algebras according to Vaughan Jones ) and connections to quantum groups, three-dimensional topological field theories and conformal field theories.

He was invited speaker at the 1990 International Congress of Mathematicians in Kyoto ( Quantum Symmetry and the Classification of Sub-Factors ).

Web links

  • Quantized group, string algebras and Galois theory for algebras, in: DE Evans, M. Takesaki (Eds.) Operator Algebras and Applications , Volume 2, Warwick 1987, London Mathematical Society Lecture Note Series 136, Cambridge University Press 1988, 119-172
  • Quantum symmetry, differential geometry of finite graphs and classification of subfactors, University of Tokyo Seminary Notes 45, 1991
  • Operator algebras, topology and subgroups of quantum symmetry, Advanced Studies in Pure Mathematics 31, 2001, pp. 235–263 (Taniguchi Conf. On Math., 1998)
  • Chirality for operator algebras, in Subfactors , Proc. Taniguchi Symp., 1993

Individual evidence

  1. ^ Adrian Ocneanu in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ Published in Lecture Notes in Mathematics 1138, Springer Verlag 1985
  3. ↑ Photo of the discoverer with Vaughan Jones in Berkeley, Halmos Collection
  4. ↑ Hoste, Millett, Freyd, Lickorish, Ocneanu, Yetter A new polynomial invariant of knots and links , Bull. Am. Math. Soc. 12, 1985, 239-246
  5. ↑ Phys.org, 2005
personal data
SURNAME Ocneanu, Adrian
BRIEF DESCRIPTION Romanian-American mathematician
DATE OF BIRTH before 1974