Preprints and Publications
The action of the mapping class group on representation varieties. Preprint. abs pdf
Morse theory and hyperkähler Kirwan surjectivity for Higgs bundles (with G. Daskalopoulos, J. Weitsman, and G. Wilkin). Preprint. abs pdf
Cohomology of SL(2,C) character varieties of surface groups and the action of the Torelli group (with G. Daskalopoulos and G. Wilkin). Preprint. abs pdf
On products of isometries of hyperbolic space (with E. Falbel). Top. Appl. 156 (13) (2009), 2257--2263. abs pdf
Precise constants in bosonization formulas on Riemann surfaces I. Commun. Math. Phys. 282 (2) (2008), 339--355. abs pdf
Energy of harmonic maps and Gardiner's formula. In the tradition of Ahlfors-Bers. IV, 221--229, Contemp. Math., 432, Amer. Math. Soc., Providence, RI, 2007. abs pdf
Harmonic maps and Teichmüller theory (with G. Daskalopoulos). Handbook of Teichmüller theory. Vol. I, 33--109, IRMA Lect. Math. Theor. Phys., 11, Eur. Math. Soc., Zürich, 2007. abs pdf
On the blow-up set of the Yang-Mills flow on Kähler surfaces (with G. Daskalopoulos). Math. Z. 256 (2007), 301-310. abs pdf
Regularity of harmonic maps from Riemann surfaces to the Weil-Petersson completion of Teichmüller space. In preparation. abs
Energy of twisted harmonic maps of Riemann surfaces (with W. Goldman). In the tradition of Ahlfors-Bers. IV, 45--61, Contemp. Math., 432, Amer. Math. Soc., Providence, RI, 2007. abs pdf
Holomorphic frames for weakly converging holomorphic vector bundles (with G. Daskalopoulos). Can. Math. Bull. 49 (1) (2006), 36-40. abs pdf
Eigenvalues of products of unitary matrices and Lagrangian involutions (with E. Falbel). Topology 45 (2006), 65-99. abs pdf
Convergence properties of the Yang-Mills flow on Kähler surfaces (with G. Daskalopoulos). J. reine angew. Math. 575 (2004), 69-99. abs pdf erratum
Classification of Weil-Petersson isometries (with G. Daskalopoulos). Amer. J. Math. 125 (2003), 941-975. abs pdf
Harmonic maps to Teichmüller space (with G. Daskalopoulos and L. Katzarkov). Math. Res. Lett. 7 (2000), 133-146. abs pdf
On the Morgan-Shalen compactification of the SL(2,C) character varieties of surface groups (with G. Daskalopoulos and S. Dostoglou). Duke Math. J. 101 (2000), 189-207. abs pdf
The Yang-Mills flow near the boundary of Teichmüller space (with G. Daskalopoulos). Math. Annalen 318 (1) (2000), 1-42. abs pdf
On the Brill-Noether problem for vector bundles (with G. Daskalopoulos). Forum Math. 11 (1) (1999), 63-77. abs pdf
Character varieties and harmonic maps to R-trees (with G. Daskalopoulos and S. Dostoglou). Math. Res. Lett. 5 (4) (1998), 523-534. abs pdf
Families of SU(2) representations for mapping cylinders of periodic monodromy (with G. Daskalopoulos and S. Dostoglou). Proc. Edinburgh Math. Soc. 40 (1997), 383-392.
Mumford-Thaddeus principle on the moduli space of vector bundles on an algebraic surface (with K. Matsuki). Int. J. Math. 8 (1997), 97-148. abs pdf
Geometric quantization for the moduli space of vector bundles with parabolic structure (with G. Daskalopoulos). In Geometry, Topology and Physics, Proceedings of the First Brazil-USA Workshop, Campinas, Brazil, June 30- July 7, 1996. B.N. Apanasov, S.B. Bradlow, W.A. Rodrigues, Jr., K.K. Uhlenbeck (Editors), Walter de Gruyter Publishers, 119-155. abs pdf
The multi-monopole equations for Kähler surfaces (with J. Bryan). Turk. J. Math. 20 (1996), 119-128.
Gromov invariants for holomorphic maps from Riemann surfaces to Grassmannians (with A. Bertram and G. Daskalopoulos). J. Amer. Math. Soc. 9 (1996), 529-571. abs pdf
Birational equivalence of vortex moduli (with S. Bradlow and G. Daskalopoulos). Topology 35 (1996), 731-748. abs pdf
Factorization of rank two theta functions II: Proof of the Verlinde formula (with G. Daskalopoulos). Math. Annalen 304 (1996), 21-51. abs pdf
Moduli of extensions of holomorphic vector bundles on Kähler manifolds (with G. Daskalopoulos and K. Uhlenbeck). Commun. Analysis Geom. 3 (1995), 479-522.
Stable augmented bundles over Riemann surfaces (with S. Bradlow, G. Daskalopoulos, and O. Garcia-Prada). In Vector Bundles in Algebraic Geometry, London Mathematical Society Lecture Notes, Cambridge University Press, 1995, 15-67.
Local degeneration of the moduli space of vector bundles and factorization of rank two theta functions I (with G. Daskalopoulos). Math. Annalen 297 (1993), 417-466. abs pdf
The integrability criterion in Chern-Simons gauge theory (with G. Daskalopoulos). Commun. Math. Phys. 151 (1993), 437-445.
Spectral convergence on degenerating surfaces (with L. Ji). Duke Math. J. 66 (1992), 469-501. abs pdf erratum
Asymptotics of determinants from functional integration. J. Math. Phys. 32 (7) (1991), 1767-1773. abs pdf erratum
The asymptotics of the Arakelov-Green’s function and Faltings’ delta invariant. Commun. Math. Phys. 137 (1991), 427-459. abs pdf