Preprints and Publications
  1. Generalized theta functions, strange duality, and odd orthogonal bundles on curves (with Swarnava Mukhopadhyay). 53 pp. pdf
  2. Flat line bundles and the Cappell-Miller torsion in Arakelov geometry (with Gerard Freixas i Montplet). 48 pp. pdf
  3. Surface group representations to SL(2,C) and Higgs bundles with smooth spectral data (with Michael Wolf). Geom. Topol. 20 (2016), no. 5, 3019-3032. pdf
  4. Deligne pairings and families of rank one local systems on algebraic curves (with Gerard Freixas i Montplet). 48 pp. pdf
  5. Variations along the Fuchsian locus (with François Labourie). 58 pp. pdf
  6. A symplectic analogue of the Quot scheme (with Indranil Biswas, Ajneet Dhillon, and Jacques Hurtubise). C. R. Acad. Sci. Paris, Ser. I 353 (2015) 995-999. pdf
  7. A generalized Quot scheme and meromorphic vortices (with Indranil Biswas, Ajneet Dhillon, and Jacques Hurtubise). Adv. Theor. Math. Phys. 19 (4) (2015), 905-921. pdf
  8. Analytic cycles, Bott-Chern forms, and singular sets for the Yang-Mills flow on Kaehler manifolds (with Benjamin Sibley). Adv. Math. 279 (2015), 501-531. abs pdf
  9. Higgs bundles and local systems on Riemann surfaces. 50 pp. Lecture notes. To appear in the CRM Advanced Courses in Mathematics. pdf
  10. Cohomology of U(2,1) representation varieties of surface groups (with G. Wilkin). Proc. London Math. Soc. (3) 106 (2013), 445-476. abs pdf
  11. Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces . Commun. Analysis Geom. 20 (3) (2012), 455--500. abs pdf
  12. Morse theory and stable pairs (with G. Wilkin). In "Variational Problems in Differential Geometry," R. Bielawski, K. Houston, and M. Speight, eds., London Mathematical Society Lecture Note Series No. 394, Cambridge University Press, 2012, 142--181. abs pdf
  13. Morse theory and hyperkaehler Kirwan surjectivity for Higgs bundles (with G. Daskalopoulos, J. Weitsman, and G. Wilkin). J. Diff. Geom. 87 (1) (2011), 81--116. abs pdf
  14. Cohomology of SL(2,C) character varieties of surface groups and the action of the Torelli group (with G. Daskalopoulos and G. Wilkin). Asian J. Math. 14 (3) (2010), 359--384. abs pdf
  15. The action of the mapping class group on representation varieties. In "Transformation Groups and Moduli Spaces of Curves," L. Ji and S.-T. Yau, eds., Advanced Lectures in Mathematics 16, Higher Education Press and International Press, 2011, 277-299. abs pdf
  16. On products of isometries of hyperbolic space (with E. Falbel). Top. Appl. 156 (13) (2009), 2257--2263. abs pdf
  17. Precise constants in bosonization formulas on Riemann surfaces I. Commun. Math. Phys. 282 (2) (2008), 339--355. abs pdf
  18. 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
  19. Harmonic maps and Teichmueller theory (with G. Daskalopoulos). Handbook of Teichmueller theory. Vol. I, 33--109, IRMA Lect. Math. Theor. Phys., 11, Eur. Math. Soc., Z¸rich, 2007. abs pdf
  20. On the blow-up set of the Yang-Mills flow on Kaehler surfaces (with G. Daskalopoulos). Math. Z. 256 (2007), 301-310. abs pdf
  21. 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
  22. Holomorphic frames for weakly converging holomorphic vector bundles (with G. Daskalopoulos). Can. Math. Bull. 49 (1) (2006), 36-40. abs pdf
  23. Eigenvalues of products of unitary matrices and Lagrangian involutions (with E. Falbel). Topology 45 (2006), 65-99. abs pdf
  24. Convergence properties of the Yang-Mills flow on Kaehler surfaces (with G. Daskalopoulos). J. reine angew. Math. 575 (2004), 69-99. abs pdf erratum
  25. Classification of Weil-Petersson isometries (with G. Daskalopoulos). Amer. J. Math. 125 (2003), 941-975. abs pdf
  26. Harmonic maps to Teichmueller space (with G. Daskalopoulos and L. Katzarkov). Math. Res. Lett. 7 (2000), 133-146. abs pdf
  27. 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
  28. The Yang-Mills flow near the boundary of Teichmueller space (with G. Daskalopoulos). Math. Annalen 318 (1) (2000), 1-42. abs pdf
  29. On the Brill-Noether problem for vector bundles (with G. Daskalopoulos). Forum Math. 11 (1) (1999), 63-77. abs pdf
  30. Character varieties and harmonic maps to R-trees (with G. Daskalopoulos and S. Dostoglou). Math. Res. Lett. 5 (4) (1998), 523-534. abs pdf
  31. 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. pdf
  32. 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
  33. 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
  34. The multi-monopole equations for Kaehler surfaces (with J. Bryan). Turk. J. Math. 20 (1996), 119-128.
  35. 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
  36. Birational equivalence of vortex moduli (with S. Bradlow and G. Daskalopoulos). Topology 35 (1996), 731-748. abs pdf
  37. Factorization of rank two theta functions II: Proof of the Verlinde formula (with G. Daskalopoulos). Math. Annalen 304 (1996), 21-51. abs pdf
  38. Moduli of extensions of holomorphic vector bundles on Kaehler manifolds (with G. Daskalopoulos and K. Uhlenbeck). Commun. Analysis Geom. 3 (1995), 479-522.
  39. 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.
  40. 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
  41. The integrability criterion in Chern-Simons gauge theory (with G. Daskalopoulos). Commun. Math. Phys. 151 (1993), 437-445. pdf
  42. Spectral convergence on degenerating surfaces (with L. Ji). Duke Math. J. 66 (1992), 469-501. abs pdf erratum
  43. Asymptotics of determinants from functional integration. J. Math. Phys. 32 (7) (1991), 1767-1773. abs pdf erratum
  44. The asymptotics of the Arakelov-Green’s function and Faltings’ delta invariant. Commun. Math. Phys. 137 (1991), 427-459. abs pdf