Funded by The Danish National Research Foundation

Jørgen Ellegaard Andersen (JEA) got his D.Phil in mathematics from Oxford University in 1992 and was then appointed C.B. Morrey Jr. Assistant Professor at UC Berkeley. He joined the faculty as an associate professor of mathematics at Aarhus University in 1997. Has been a member at the Mathematical Sciences Research Institute in 1996 and 2000. Was awarded the Danish Bank scholarship price in 2000. During 2001–2002 he was visiting Berkeley as a Clay Professor, funded by the Clay Mathematics Institute. Currently member of the TMR-EU networks EDGE and EAGER.

JEA works in the area of Quantum Topology, which is a rather new
branch of mathematics with strong ties to Mathematical Physics,
Topology and Geometry. – He is interested in further developing
the gauge theory construction of quantum invariants of 3-manifolds via
the geometric quantization of moduli space of flat connections on
compact surface. Using this approach JEA has recently proved the *
Asymptotic Faithfulness* property of the associated representations of
the mapping class groups. Further more he has obtained results on the
* Growth Rate* of the quantum invariant for a certain class of
3-manifolds. A consequence of this is that the *HOMFLY knot
polynomial of all cables* of a knot is an *unknot detector*.
He currently works on utilizing the gauge theory approach to
create links to the existing vast knowledge of 3-manifolds, by
etablishing the *Asymptotic Expansion Conjecture* in general.

Email address: | |

Personal homepage: | http://home.imf.au.dk/andersen |

Office phone : | (+45) 8942 3432 |

Address: | Department of Mathematical Sciences, Ny Munkegade Building 530, DK-8000 Aarhus C, Denmark |