Nafaa Chbili         Department of Mathematical Sciences                                            College of Science         UAE University         Email: nafaachbili"at"uaeu.ac.ae

Workshop: DNA Topology Course-Workshop, Okinawa, Japan,  November 2-7, 2009 (co-organized with Robert Sinclair)

Education:

    Highest Degree: Habilitation a Diriger les Recherches, Monastir University.

    PhD, Mathematics, University of Paris 7, France.

    Master, Mathematics, University of Paris 7, France.

Job History

    2008------  Associate Professor (Maitre de Conferences) Monastir University Tunisia

    2007-2008- Visiting Professor, Max-Planck-Institute for Mathematics, Bonn, Germany

    2006-2007- Research Associate Professor KAIST, South Korea

    2005-2006- COE Research Member, Osaka City University Advanced Mathematical Institute, Osaka, Japan

    2003-2005 Visiting Scholar, Tokyo Institute of Technology, Tokyo, Japan

    1999-2003 Assistant Professor, Monastir University Tunisia

    1998-1999 Assistant Professor, ESSTT, Tunis University, Tunisia

    1995-1998 Teaching Assistant (Vacataire), University of Cergy-Pontoise, Paris,  France

Research Interests: Knot theory, Low Dimensional Topology

                           Topological methods in molecular Biology, DNA Topology.

Selected Publications:

    1- Equivariant Khovanov homology associated with symmetric links, To appear in Kobe Journal of  Mathematics, arxiv.org/abs/math.QA/0702359 

    2- Graph-skein modules of three manifolds, To appear in Hand Book of Material Science Research, 2010.

    3- Strong periodicity of links and the coefficients of the Conway polynomial, Proc. Amer. Math. Soc. 136 (2008), 2217-2224.

    4-  Toward an equivariant  Khovanov homology, Proceedings of ILDT 2006, World Scientific Publishing Co, pp.19-27, 2007.
    5- The Casson-Walker-Lescop invariant of periodic three-manifolds, Mathematical Proceeding Cambridge Philosophical Society ,

    Vol.        140. ( 2006) pp. 253-264.
    6-  Skein algebras of the solid torus and symmetric spatial graphs, Fundamenta Mathematicae Vol 190, (2006) pp. 1-10.
    7-  Les invariants $\theta_{p}$ des 3-varietes periodiques, Ann. Inst. Fourier, 4 (2001), 1135-1150.

    8-  Symm'etries en dimension 3, une approche quantique, Cubo Math. Eud. Vol 6, No 4, (2004) pp. 133-165.

    9-  A new criterion for knots with free periods, Ann. Fac. Sci. Toulouse Math. (6) 12 (2003), no. 4, pp. 465-477.
    10-  Quantum invariants and finite group actions on 3-manifolds, Topology and its Applications, vol 136/1-3 pp. 219-231 2004.
    11- The multivariable Alexander polynomial of lens braids, Journal of knot theory and its Ramifications, Vol 11,  8, pp.1323-1330,2002.
    12-  Quantum Su(3)-invariants of links and Murasugi's congruence, Topology and its Applications, Volume 122/3, pp. 479-485, 2002.
    13-  The skein polynomial of freely periodic knots, Topology and its Applications, Volume 121/3 pp. 535-542, 2002.
    14-  The Jones polynomials of freely periodic knots, Journal of Knot Theory and its Ramifications, Vol 9, No 7, pp. 885-891, 2000.
    15-  Le polynome de Homfly des noeuds librement periodiques,  C. R. Acad. Sci. Paris, t. 325,b Serie I, pp. 411-414, 1997.
    16- On the invariants of lens knots, proceeding of knots 96,c-1997 World scientific publishing Co, pp. 365-375.

Teaching, Spring  2010:

        Office Hours: S: 11-12, MW 10-11 in Office and  Tuesday 11-12 (Math Help Center B36, 002)  

        Number Theory   Math 246  

        Graph Theory  Math 342