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Biography
Prof. Toshitake Kohno

Graduate School of Mathematical Sciences

The University of Tokyo, Japan


Email: kohno@ms.u-tokyo.ac.jp


Qualifications

1985 D.Sc., Department of Mathematics, Faculty of Science, Nagoya University, Japan

1981 M.Sc., Department of Mathematics, Faculty of Science, University of Tokyo, Japan

1979 B.Sc., Department of Mathematics, Faculty of Science, University of Tokyo, Japan


Publications (Selected)

  1. On the holonomy Lie algebra and the nilpotent completion of the fundamental group of the complement of hypersurfaces, Nagoya Math. J., 92 (1983), 21–37.
  2. Serie de Poincare-Koszul associee aux groupes de tresses pures, Invent. Math., 82 (1985), 57–75.
  3. Monodromy representations of braid groups and Yang-Baxter equations, Ann. Inst. Fourier, 37-4 (1987), 139–160.
  4. Linear representations of braid groups and classical Yang-Baxter equations, Contemp. Math., 78 (1988), 339–363.
  5. Holonomy Lie algebras, logarithmic connections and the lower central series of fundamental groups, Contemp. Math., 90 (1989), 171–182.
  6. Integrable connections related to Manin and Schechtman’s higher braid groups, Illinois J. of Math., 34-2 (1990), 476–484.
  7. Topological invariants for 3-manifolds using representations of mapping class groups I, Topology, 31-2 (1992), 203–230.
  8. (with T. Takata) Symmetry of Witten’s 3-manifold invariants for sl(n,C), Journal of Knot Theory and Its Ramifications , 2-2 (1993), 149–169.
  9. Monodromy representations of braid groups, Sugaku Expositions, 7-2 (1994), 688-696.
  10. Topological invariants for 3-manifolds using representations of mapping class groups II: Estimating tunnel number of knots, Contemp. Math. Amer. Math. Soc. 175 (1994), 193–217.
  11. Vassiliev invariants and de Rham complex on the space on knots,Contemp. Math. Amer. Math. Soc. 179 (1994), 123–138.
  12. (with T. Takata) Level-rank duality of Witten’s 3-manifold invariants, Advanced Stud. Pure. Math., 24 (1996), 243–264.
  13. Elliptic KZ system, braid group of the torus and Vassiliev invariants, Topology and its applications, 20 (1997), 1–16.
  14. Topological quantum field theories with focus on their applications to three-manifolds, Sugaku Expositions, Amer. Math. Soc., 11-2 (1998), 1–16.
  15. Vassiliev invariants of braids and iterated integrals, Advanced Studuies in Pure Math., 27, (2000), 157–168.
  16. Bar complex on the Orlik-Solomon algebra, Topology and its Applications, 118, (2002), 147–157.
  17. Conformal field theory and topology, Translations of Mathematical Monographs, Volume 210 American Mathematical Society, 2002, 182 pages.
  18. Loop spaces of configuration spaces and finite type invariants, Geometry and Topology Monographs, 4, (2002), 143–160.
  19. The volume of a hyperbolic simplex and iterated integrals, Series on Knots and Everything 40 (2007) 179–188.
  20. (with F. R. Cohen and M. A. Xicontencatl) Orbit configuration spaces associated to discrete subgroups of PSL(2,R), Journal of Pure and Applied Algebra, 213, (2009), 2289 – 2300.
  21. Bar complex, configuration spaces and finite type invariants for braids, Topology and Its Applications, 157, (2010), 2–9.
  22. Hyperplane arrangements, local system homology and iterated integrals, Advanced Studies in Pure Mathematics, 62, (2012), 157–174.
  23. Homological representations of braid groups and KZ connections, Journal of Singularities, 5, (2012), 94–108.

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