Recent Papers

• Plateau Problems for Maximal Surfaces in Pseudo-Hyperbolic Spaces, (with Francois Labourie and Jeremy Toulisse) submitted. (.pdf)
• Higgs bundles, harmonic maps, and pleated surfaces, (with Andreas Ott, Jan Swoboda, and Richard Wentworth), submitted.(.pdf)
• Planar minimal surfaces with polynomial growth in the Sp(4,R)-symmetric space, (with Andrea Tamburelli), submitted. (.pdf)
• Non-existence of geometric minimal foliations, (with Yunhui Wu) Comment. Math. Helv., 95(2020), 167-182 (.pdf)
• Meromorphic quadratic differentials and measured foliations on a Riemann surface, (with Subhojoy Gupta) Math. Ann., 373(2019), 73-118. (.pdf)
• Meromorphic quadratic differentials with complex residues and spiralling foliations, (with Subhojoy Gupta), In the tradition of Ahlfors-Bers VII, Contemp. Math. 696 (2017), 153-181. (.pdf)
• Surface Group Representations to SL(2,C) and Higgs Bundles with Smooth Spectral Data, (with Richard Wentworth), Geom. Top., 20(2016), no. 5, 3019–3032. (.pdf)
• Quadratic differentials, half-plane structures, and harmonic maps to graphs, (with Subhojoy Gupta), Comment. Math. Helv. 91(2016), 317-356. (.pdf)
• Uniform Bounds for Weil-Petersson Curvatures, (with Yunhui Wu), Proc. London Math. Soc., 117 (5)(2018), 1041-1076. (.pdf)
• Polynomial Cubic Differentials and Convex Polygons in the Projective Plane, (with David Dumas), Geom. Funct. Anal. 25(2015), 1734-1798. (.pdf)
• Limits in PMF of Teichmuller Geodesics, (with Jon Chaika and Howard Masur), J. Reine. Angew. Math., 747 (2019) 1-44. (.pdf)
• The Weil-Petersson Hessian of Length on Teichmuller Space, J. Differential Geom. 91(2012), 129-169. (.pdf)
• Handle Addition for Doubly-Periodic Scherk Surfaces, (with Matthias Weber), J. Reine. Angew. Math., 670(2012), 173-216. (.pdf)
• Ambient Quasiconformal Homogeneity of Planar Domains, (with Petra Bonfert-Taylor, Richard D. Canary, Gaven Martin, and Edward C. Taylor), Ann. Acad. Sci. Fenn. Math., 35(2010), no. 1, 275-283. (.pdf)
• An Embedded Genus-One Helicoid (with M. Weber and D. Hoffman) Annals of Math.169(2009) no. 2, 347-448. (.pdf)
• Projective Structures, Grafting and Measured Laminations (with David Dumas), Geometry & Topology, 12(2008), no. 1, 351--386. (.pdf)
• Minimal graphs in H^2 X R and their projections , Pure and Applied Math. Quarterly 3(2007), no. 3, 881-896. (.pdf)
• Minimal surfaces with the area growth of two planes; the case of infinite symmetry (with William H. Meeks III),Jour. Amer. Math. Soc., 20(2007), no. 2, 441--465. (.pdf)
• An Embedded Genus-One Helicoid (with M. Weber and D. Hoffman) Proc. Nat. Acad. Sci.102(2005)16566-16568. (.pdf)
• Flat Structures, Teichmuller Theory and Handle Addition for Minimal Surfaces ; notes for the Clay Institute volume on Minimal Surfaces
• The Weil_Petersson Isometry Group (with H. Masur) Geom. Ded. 93 (2002), 177-190. (.pdf)
• The Grafting Map of Teichmuller Space (with K. Scannell) Jour. Amer. Math. Soc. 15 (2002), 893-927. (.pdf)
• Teichmuller Theory and Handle Addition for Minimal Surfaces (with M. Weber) Annals of Math. 156 (2002), 713-795. (.pdf)
• Harmonic Splittings of Surfaces (with B. Farb)Topology 40(2001), 1395-1414. (.pdf)
• Minimal Surfaces of Least Total Curvature and Moduli Spaces of Plane Polygonal Arcs (with M. Weber) Geom. and Funct. Anal., 8(1998), 1129-1170. (.pdf)
• Harmonic Extensions of Quasiconformal Maps to Hyperbolic Space, (with R. Hardt), Indiana J. Math, 46 (1997) 155-163. (.pdf)
• Measured Foliations and Harmonic Maps of Surfaces, J. Differential Geometry, 49(1998) 437-467. (.pdf)
• On Realizing Measured Foliations Via Quadratic Differentials of Harmonic Maps to R-trees, J. D'Analyse, 68(1996) 107-120. (.pdf)
• On The Existence of Jenkins-Strebel Differentials Using Harmonic Maps from Surfaces , Ann. Acad. Sci. Fenn. 20 (1995) 269-278. (AMS-tex)
• Teichmuller Space is Not Gromov Hyperbolic , (with H. Masur) Ann. Acad. Sci. Fenn. 20(1995) 259-267.(AMS-Tex)
• Irregular Homotopies of Harmonic Maps of Surfaces, Abstract of a talk given at Universitat Bonn. (AMS-tex)