- Generalized theta functions, strange duality, and odd orthogonal bundles on curves (with Swarnava Mukhopadhyay). 53 pp. pdf
- Flat line bundles and the Cappell-Miller torsion in Arakelov geometry (with Gerard Freixas i Montplet). 48 pp. pdf
- 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
- Deligne pairings and families of rank one local systems on algebraic curves (with Gerard Freixas i Montplet). 48 pp. pdf
- Variations along the Fuchsian locus (with François Labourie). 58 pp. pdf
- 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
- 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
- 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
- Higgs bundles and local systems on Riemann surfaces.
50 pp. Lecture notes. To appear in the
*CRM Advanced Courses in Mathematics.*pdf - Cohomology of U(2,1) representation varieties of surface groups (with G. Wilkin). Proc. London Math. Soc. (3) 106 (2013), 445-476. abs pdf
- Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces . Commun. Analysis Geom. 20 (3) (2012), 455--500. abs pdf
- 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
- 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
- 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
- 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
- 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 Teichmueller theory (with G. Daskalopoulos). Handbook of Teichmueller theory. Vol. I, 33--109, IRMA Lect. Math. Theor. Phys., 11, Eur. Math. Soc., ZÂ¸rich, 2007. abs pdf
- On the blow-up set of the Yang-Mills flow on Kaehler surfaces (with G. Daskalopoulos). Math. Z. 256 (2007), 301-310. abs pdf
- 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 Kaehler 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 Teichmueller 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 Teichmueller 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. pdf
- 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 Kaehler 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 Kaehler 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. pdf
- 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