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Justin Sawon
- Department of Mathematics
- SUNY at Stony Brook
- Stony Brook, NY 11794-3651
- USA
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Office hours:
Phone:
Fax:
Email:
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by appointment
+1-631-632 8290 (department)
+1-631-632 8267 (direct line)
+1-631-632 7631
sawon@math.sunysb.edu
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Teaching:
- Seminars:
- Geometry
and Topology
- Mathematical Physics Learning Seminar
(Click on the titles for abstracts and links to where they can be
downloaded.)
Publications:
- "Lagrangian fibrations on Hilbert
schemes of points on K3 surfaces", to appear in the Journal of
Algebraic Geometry.
- "Deformations of holomorphic Lagrangian
fibrations", submitted.
- "Twisted Fourier-Mukai transforms for
holomorphic symplectic four-folds", submitted.
- "Perturbative expansion of
Chern-Simons theory", to appear in Geometry and Topology
Monographs.
- "Derived equivalence of holomorphic
symplectic manifolds", in Algebraic Structures and Moduli Spaces:
CRM Workshop, Montreal 14-20 July 2003, CRM Proceedings & Lecture Notes
Series, Volume 38 (2004), 193-211.
- "Abelian fibred holomorphic
symplectic manifolds", Turkish Journal of Mathematics 27 (2003),
No. 1, 197-230. (Proceedings of the Ninth Gokova Geometry-Topology
Conference, Turkey, 27th to 31st May 2002.)
- with Justin Roberts, "Generalizations of
Rozansky-Witten invariants", Geometry and Topology Monographs,
Vol. 4 (2002), Invariants of knots and 3-manifolds (Kyoto 2001),
263-279.
- with Michael Eastwood, "The
Borel-Weil theorem for complex projective space", in Invitations
to Geometry and Topology, Oxford Graduate Texts in Mathematics
(2002), 126-145.
- "Topological quantum field theory
and hyperkähler geometry", Turkish Journal of Mathematics 25
(2001), No. 1, 169-194. (Proceedings of the Seventh Gokova
Geometry-Topology Conference, Turkey, 29th May to 3rd June 2000.)
- "A new weight system on
chord diagrams via hyperkähler geometry", Proceedings of the
Second Meeting on Quaternionic Structures in Mathematics and Physics,
Rome 6-10 September 1999, World Scientific (2001), 349-363.
- with Nigel Hitchin, "Curvature and characteristic numbers of
hyperkähler manifolds", Duke Mathematical Journal 106 (2001),
No. 3, 599-615.
- "When is a Lie algebra not
a Lie algebra?", notes from a talk given at the IXth Oporto
Meeting on Geometry, Topology and Physics, September 29th to October
2nd, 2000.
- "The Rozansky-Witten
invariants of hyperkähler manifolds", Proceedings of the 7th
International Conference on Differential Geometry and
Applications, Satellite Conference of ICM in Berlin, Aug. 10-14, 1998,
Brno, Czech Republic (1999), 429-436.
- "Homomorphisms of semiholonomic
Verma modules: an exceptional case", Acta Mathematica
Universitatis Comenianae 68 (1999), No. 2, 257-269.
Dissertations:
Unpublished:
Other:
- notes of lectures by Nigel Hitchin, "Riemann surfaces and
integrable systems", in Integrable Systems: Twistors, Loop Groups, and
Riemann Surfaces, Oxford Graduate Texts in Mathematics, Clarendon
Press (1999).
To the Stony Brook Mathematics
Department front page.
To Sawon Enterprise Company.
This page last modified
by Justin Sawon
Wednesday, 12-Apr-2006 10:32:54 EDT
Email corrections and comments to
sawon@math.sunysb.edu