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George Daskalopoulos

George Daskalopoulos

Professor of Mathematics

CONTACT INFO

Office: 213 Kassar-Gould House
Phone: (401) 863-1136
Fax: (401) 863-9013
Email: daskal<at>math.brown.edu

Mailing Address:

    Mathematics Department
    Box 1917
    Brown University
    Providence, RI 02912

COURSE SCHEDULE

Spring 2006

Math 20: Intermediate Calculus
Math 211: Introduction to Manifolds
RESEARCH INTERESTS

Differential Geometry
Gauge Theory
Sympletic Geometry

BACKGROUND

Education: Ph.D., Chicago, 1989.

RECENT PUBLICATIONS

The Yang-Mills flow near the boundary of Teichmüller space. Math. Ann. 318 (2000), no. 1, 1--42. w/Wentworth, Richard A.

Harmonic maps to Teichmüller space. Math. Res. Lett. 7 (2000), no. 1, 133--146. w/Katzarkov, Ludmil; Wentworth, Richard

On the Morgan-Shalen compactification of the ${\rm SL}(2,{C})$ character varieties of surface groups. Duke Math. J. 101 (2000), no. 2, 189--207. w/Dostoglou, S.; Wentworth, R.

On the Brill-Noether problem for vector bundles. Forum Math. 11 (1999), no. 1, 63--77. w/Wentworth, Richard A.

Character varieties and harmonic maps to ${R}$-trees. Math. Res. Lett. 5 (1998), no. 4, 523--533. w/Dostoglou, S.; Wentworth, R.

Geometric quantization for the moduli space of vector bundles with parabolic structure. Geometry, topology and physics (Campinas, 1996), 119--155, de Gruyter, Berlin, 1997. w/Wentworth, Richard A.

Families of ${\rm SU}(2)$ representations for mapping cylinders of periodic monodromy. Proc. Edinburgh Math. Soc. (2) 40 (1997), no. 2, 383--392. w/Dostoglou, S.; Wentworth, R.

Factorization of rank two theta functions. II. Proof of the Verlinde formula. Math. Ann. 304 (1996), no. 1, 21--51. w/Wentworth, Richard

Birational equivalences of vortex moduli. Topology 35 (1996), no. 3, 731--748. w/Bradlow, Steven B.; Wentworth, Richard A.

Moduli of extensions of holomorphic bundles on Kähler manifolds. Comm. Anal. Geom. 3 (1995), no. 3-4, 479--522. w/Uhlenbeck, Karen; Wentworth, Richard

Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians. J. Amer. Math. Soc. 9 (1996), no. 2, 529--571. w/Bertram, Aaron; Wentworth, Richard

An application of transversality to the topology of the moduli space of stable bundles. Topology 34 (1995), no. 1, 203--215. Uhlenbeck, Karen K.

Stable augmented bundles over Riemann surfaces. Vector bundles in algebraic geometry (Durham, 1993), 15--67, London Math. Soc. Lecture Note Ser., 208, Cambridge Univ. Press, Cambridge, 1995. w/Bradlow, Steven; García-Prada, Oscar; Wentworth, Richard

Moduli of stable pairs for holomorphic bundles over Riemann surfaces. II. Internat. J. Math. 4 (1993), no. 6, 903--925. w/Bradlow, Steven;

Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions. I. Math. Ann. 297 (1993), no. 3, 417--466. w/Wentworth, Richard

The integrability criterion in ${\rm SU}(2)$ Chern-Simons gauge theory. Comm. Math. Phys. 151 (1993), no. 3, 437--445. w/Wentworth, Richard

The topology of the space of stable bundles on a compact Riemann surface. J. Differential Geom. 36 (1992), no. 3, 699--746.

Moduli of stable pairs for holomorphic bundles over Riemann surfaces. Internat. J. Math. 2 (1991), no. 5, 477--513. w/Bradlow, Steven B