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andersen@math.berkeley.edu or andersen@imf.au.dk
Position : Associate
Professor of Mathematics, University of Aarhus.
Currently on leave from Aarhus and employed by the Clay Mathematics Institute
as Clay Professor of Mathematics at the Department of Mathematics, University
of California, Berkeley.
Research Interests
:
Jørgen Ellegaard Andersen is interested in further developing the gauge
theoretic approach to quantum invariants of 3-manifolds and to utilize it to
establish links to the existing vast knowledge of 3-manifolds.
Publications :
1. J.E. Andersen, "Jones-Witten
theory and the Thurston boundary of Teichmüller space.", University
of Oxford D. Phil thesis (1992), 129pp.
2. J.E. Andersen, J. Mattes \& N. Reshetikhin, "The Poisson Structure
on the Moduli Space of Flat Connections and Chord Diagrams". Topology {\bf
35}, pp.1069--1083 (1996).
3. J.E. Andersen "Geometric Quantization of Symplectic Manifolds with respect
to reducible non-negative polarizations". Commun. in Math. Phys. {\bf 183},
pp.401--421 (1997).
4. J.E. Andersen "Fixed points of the mapping class group in the $SU(n)$
moduli space". Proc. Amer. Math. Soc. {\bf 125}, pp.1511-1515 (1997).
5. J.E. Andersen "The Witten invariant of finite order mapping tori I",
To appear in Journal für Reine und angevantes Matematik. 43pp. University
of Aarhus preprint (1995-13).
6. J.E. Andersen "New polarizations on the moduli space and the Thurston
compactification of Teichmuller space", International Journal of Mathematics
Volume {\bf 9}, No.1 (1998) 1-45.
7. J.E. Andersen, J. Mattes \& N. Reshetikhin, "Quantization of the
Algebra of Chord Diagrams". Math. Proc. Camb. Phil. Soc. {\bf 124} pp.451-467
(1998).
8. J.E. Andersen \& G. Masbaum, "Involutions on moduli spaces and refinements
of the Verlinde formula". Mathematice Analen 314 (1999) 2, 291-326.
9. J.E. Andersen \& V. Turaev "Higher Skein modules". Journal
of Knot Theory and its Ramifications 8:8 (1999),963-984.
10. J.E. Andersen \& V. Turaev "Higher Skein modules II". in "Topology,
Ergodic Theory, Real Algebraic Geometry. Rokhlin's Memorial" Amer. Math.
Soc. Transl. ser 2, vol 202 (2001).
11. J.E. Andersen \& J. Grove "Fixed varieties in the moduli space
of semi-stable vector bundles". math.AG/0205099.
12. J.E. Andersen "Asymptotic faithfulness of the quantum SU(n) representations
of the mapping class groups". math.QA/0204084 .
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