Einstein Institute of Mathematics,Hebrew University, Givat Ram,
Manchester Bldg, Rm 5
Jerusalem 91904 ISRAEL
Einstein Institute of Mathematics,
Hebrew University, Givat Ram,
Manchester Bldg, Rm 5
Jerusalem 91904 ISRAEL
Office phone: +972-2-6586213
Office FAX: +972-2-5630702
e-mail:ruthel@math.huji.ac.il
Research interests:
Quantum Topology, Combinatorics, Geometry and Physics
[39] Jones rational coincidences -- joint with Ori Rosenstein arXiv:2105.13897, Vaughan Jones memorial volume
[38] Quantitative towers in finite difference calculus approximating the continuum -- joint with Nissim Ranade and Dennis Sullivan arXiv:2011.07505, Atiyah memorial volume, Quarterly Journal of Mathematics(2021)
[37] Quantum Link Invariants - from QYBE and braided tensor categories -- Chapter 59 in Concise Encyclopedia of Knot Theory Eds. C. Adams, E. Flapan, A. Henrich, L. Kauffman, L. Ludwig, S. Nelson, publ. Chapman & Hall/CRC Press (2020) ISBN 9781138297845
[36] Universal averages in gauge actions -- joint with Maor Siboni arXiv:1911.03907, Journal of Lie Theory 31(2021) 351-366
[35] Explicit symmetric DGLA models of 3-cells, -- joint with Itay Griniasty arXiv:2002.12329 Canad. Math. Bulletin (2020) (15 pages)
[34] An explicit symmetric DGLA model of a triangle, -- joint with Itay Griniasty arXiv:math1802.02795, Higher Structures3(1) (2019) 1-16
[33] An explicit symmetric DGLA model of a bi-gon, -- joint with Nir Gadish, Itay Griniasty arXiv:1705.08483/, Proceedings of `Knots in Hellas 2016', J. Knot Th. Ramif. 28(11)(2019)1940008 (12 pages)
[32] A formula for topology/deformations and its significance, -- joint with Dennis Sullivan arXiv:math/0610949, Fundamenta Mathematica 225 (2014) 229-242.
[31] Artin covers of the braid group, -- joint with Meirav Amram and Uzi Vishne J. Knot Th. Ramif. 21(7) (2012) 1250061 44pp
[30] On Habiro's cyclotomic expansions of the Ohtsuki invariant, -- joint with Ofer Ron arXiv:math/0501549, J. Knot Th. Ramif. 15(6) (2006) 661-680
[29] Some computations of Ohtsuki series, -- joint with Nori Jacoby Advances in Topological Quantum Field Theory eds J. Bryden, Kluwer (2004) 53-70.
[28] A rational surgery formula for the LMO invariant, --joint with Dror Bar-Natan arXiv:math/0007045, Israel J. Math. 140 (2004) 29-60
[27] The Tait conjectures, in `The Changing Face of Geometry' ed Chris Prichard CUP (2003) 450-454
[26] The PSU(3) invariant of the Poincare homology sphere, Topology and Its Applications 127 (2003) 153-168
[25] Modular forms and quantum invariants of 3-manifolds, Asian J. Math 3 (1999) 93-107. Special volume dedicated to Sir Michael Atiyah on the occasion of his 70th birthday.
[24] On Ohtsuki's invariants of 3-manifolds, J. Knot Th. Ramif. 8 (1999) 1049-1063.
[23] Witten-Reshetikhin-Turaev invariants of Seifert manifolds, -- joint with Lev Rozansky Commun. Math. Phys.205 (1999) 287-314.
[22] Yang-Baxter type equations and posets of maximal chains, J. Comb. Th.79 (1997) 68-104.
[21] Holomorphic invariants of 3-manifolds and q-gamma functions, -- in preparation (1997).
[20] Braid group representations associated with sl_m, J. Knot Th. Ramif. 5 (1996) 637-660.
[19] Witten-Reshetikhin-Turaev invariants of 3-manifolds as holomorphic functions, `Proceedings on Geometry and Physics, Aarhus, Denmark', Eds. J.E. Andersen, J. Dupont, H. Pedersen, A. Swann Lecture Notes in Pure and Applied Mathematics 184 (1996) 363-377.
[18] An Introduction to Topological Field Theory, Proc. Symp. Appl. Math. 51 (1996) 89-128.
[17] Asymptotic expansions of Witten-Reshetikhin-Turaev invariants for some simple 3-manifolds, Invited contribution for the Special Issue on `Quantum geometry and diffeomorphism invariant quantum field theory' J. Math. Phys. 36 (1995) 6106-6129.
[16] Algebras and triangle relations, J. Pure Appl. Alg. 100 (1995) 43-72.
[15] Triangulations, categories and extended topological field theories, Quantum Topology, Eds. R. Baadhio and L.H. Kauffman, World Scientific (1993) 191-208.
[14] Fluorescent transfer of light in dyed materials, -- joint paper with S.D. Howison, SIAM J. Appl. Math. 53 (1993) 447-458.
[13] A functorial approach to the one-variable Jones Polynomial, J. Diff. Geom. 37 (1993) 689-710.
[12] On algebras and triangle relations, `Proc. 2nd. Int. Conf. on Topological and Geometric Methods in Field Theory, Turku, FINLAND, 26th May-1st June, 1991.' Eds. J. Mickelsson, O. Pekonen, World Scientific (1992) 429-447.
[11] A presentation for Manin and Schechtman's higher braid groups, MSRI preprint 04129--91 (April 1991)
[10] A note on two-row Hecke algebra representations, Harvard preprint (1991)
[9] Connections between CFT and Topology via Knot Theory, Lecture Notes in Physics 375 (1991) 245-254.
[8] The homological approach applied to higher representations, Harvard preprint (1990)
[7] Homological representations of the Hecke algebra, Commun. Math. Phys. 135 (1990) 141-191.
[6] Topological approach to the Iwahori-Hecke algebra, Int. J. Mod. Phys. A5 (1990) 3213-3219.
[5] A universal link invariant, `Proceedings of the IMA conference on Mathematics-Particle Physics Interface, Oxford, England, 12th-14th September, 1988.' Eds. D.G.~Quillen, G.B.~Segal, Tsou~S.T., Oxford University Press (1990) 151--156.
[4] Homology representations of braid groups, D.Phil. Thesis, Univerity of Oxford (June 1989)
[3] Universal Link Invariants using Quantum Groups, `Proceedings of the XVII Int. Conf. on Differential Geometric Methods in Theoretical Physics, Chester, England, 15th-19th August, 1988.' Ed. A. Solomon, World Scientific (1989) 55-63.
[2] On families of self-adjoint operators, dissertation accepted by Oxford University in support of application to transfer to Advanced Student status (1987)
[1] Appendix, "Elliptic Curves", in GTM 111 Springer-Verlag (1986), Second Edition (2004)
Last modified April 15th, 2018.
Comments and questions to ruthel@ma.huji.ac.il