PREPRINTS
Measured foliations at infinity of quasi-Fuchsian manifolds Preprint (with D. Choudhury)
Unique extremality of affine maps on plane domains accepted for publication in Annales Academiae Scientiarum Fennicae (with Q. Luo)
The derivative of the Riemann-Hilbert map accepted for publication in Bulletin of London Mathematical Society (with O. Tosic)
Geometrically and topologically random surfaces in a closed hyperbolic 3-manifold Preprint (with J. Kahn and I. Smilga)
PUBLICATIONS
Unstable minimal surfaces in R^n and in products of hyperbolic surfaces accepted for publication in Commentarii Mathematici Helvetici 100, no. 1, 93–121 (2025) (with N. Segman and P. Smillie)
Tangle free permutations and the Putman-Wieland property of random covers IMRN 20, 13400–13416, (2024)(with A. Klukowski)
Minimal surfaces and the Main New Inequality Annales Academiae Scientiarum Fennicae 49, 99-117, (2024) (with N. Segman)
The second variation of the Hodge norm and the Higher Prym Representations Journal of Topology 17 (2024) (with O. Tosic)
Homogenization of random quasiconformal mappings and random Delauney triangulations Journal of Differential Geometry vol. 124, 523-551 (2023)
Unramified correspondences and virtual properties of Mapping Class Groups Bulletin of London Mathematical Society vol. 54, 2324-2337 (2022)
Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces GAFA no. 1, 31-52 (2022)
Uniqueness of minimal diffeomorphisms between surfaces Bulletin of London Mathematical Society no. 4, 1196-1204 (2021)
Construction of Surfaces via Good Pants Annals of Mathematical Studies 205, 233-243 (2020) (with Y. Liu)
Non-realizability of the Torelli group as area-preserving homeomorphisms Journal of London Mathematical Society 00 (2020) 1–20 (with L. Chen)
Classifying complex geodesics for the Caratheodory metric on low-dimensional Teichmueller spaces Journal d'Analyse 140 (2020), no. 2, 669–694 (with D. Gekhtman)
Caratheodory's Metrics on Teichmueller Spaces and L-shaped pillowcases Duke Journal of Mathematics 167 (2018), no. 3, 497-535
Heat Flows On Hyperbolic Spaces Journal of Differential Geometry 108 (2018), no. 3, 495-529(with M. Lemm)
Harmonic Maps and the Schoen Conjecture Journal of American Mathematical Society (2017), no. 3, 799-817
Homology of curves and surfaces in closed hyperbolic 3-manifolds Duke Journal of Mathematics 164 (2015), no. 14, 2723-2808 (with Y. Liu)
Harmonic maps between 3-dimensional hyperbolic spaces Inventiones Mathematicae 199 (2015), no. 3, 921-951
The good pants homology and a proof of the Ehrenpreis conjecture Annals of Mathematics 182 (2015), no. 1, 1-72 (with J. Kahn)
The Surface Subgroup and the Ehrenpreis Conjectures Proceedings of the ICM 2014 (with J. Kahn)
Criterion for Cannon's Conjecture GAFA 23 (2013), no. 3, 1035-1061
The moduli space of Riemann surfaces of large genus GAFA 23 (2013), no. 3, 867-887 (with A. Fletcher and J. Kahn)
Counting essential surfaces in a closed hyperbolic 3-manifold Geometry and Topology 16 (2012), no. 1, 601-624. (with J. Kahn)
Immersing almost geodesic surfaces in a closed hyperbolic 3-manifold Annals of Mathematics 175 (2012), no. 3, 1127-1190 (with J. Kahn)
Decomposing diffeomorphisms of the sphere Bulletin of the London Mathematical Society 44 (2012), no. 3, 599-609 (with A. Fletcher)
Quasiconformal homogeneity of genus zero surfaces Journal d'Analyse Mathematique 113 (2011), 173–195. (with F. Kwakkel)
Topological entropy and diffeomorphisms of surfaces with wandering domains Annales Academiae Scientiarium Fennicae 35 (2010), no. 2, 503–513. (with F. Kwakkel)
The universal properties of Teichmueller spaces Vol. XIV. Geometry of Riemann surfaces and their moduli spaces, 261-294 Surveys in Differential Geometry (2009) (with D. Saric)
Infinite dimensional Teichmueller spaces Handbook of Teichmueller theory Vol. II, 65-91, European Mathematical Society, Zurich, (2009) (with A. Fletcher)
The Teichmueller distance between finite index subgroups of PSL(2,Z) Geometriae Dedicata 136 (2008), 145--165. (with D. Saric)
Characterisation of plane regions that support quasiconformal mappings to their domes Bulletin of London Mathematical Society 39 (2007), no. 6, 962--972. (with A. Marden)
Realization of the Mapping class group by homeomorphisms Inventiones Mathematicae 168 (2007), no. 3, 523—566.
Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disc Geometry and Topology 11 (2007), 517--595. (with D. Epstein)
Classification of continuously transitive circle groups Geometry and Topology 10 (2006), 1319--1346. (with J. Giblin)
Complex earthquakes and deformations of the unit disc Journal of Differential Geometry 73 (2006), no. 1, 119--166. (with D. Epstein and A. Marden)
Quasisymmetric groups Journal of American Mathematical Society 19 (2006), no. 3, 673—715.
Convex regions in C and their domes Proceedings of London Mathematical Society 92 (2006), no. 3, 624--654. (with D. Epstein and A. Marden)
Teichmueller mapping class group of the universal hyperbolic solenoid Transaction American Mathematical Society 358 (2006), no. 6, 2637--2650. (with D. Saric)
The logarithmic spiral: A counterexample to the K=2 conjecture Annals of Mathematics 161 (2005), no. 2, 925--957. (with D. Epstein)
Isometries Between the Spaces of L^{1} Holomorphic Quadratic Differentials on Riemann Surfaces of Finite Type Duke Math. Journal 120 (2003), no. 2, 433--440. (with C. Earle)
Complex angle scaling Kleinian Groups and Hyperbolic 3-manifolds, London Math. Soc. Lecture Note Ser. 343--362, Cambridge Univ. Press, Cambridge, 2003. (with D. Epstein and A. Marden)
Biholomprphic maps between Teichmueller spaces Duke Math. Journal 120 (2003), no. 2, 405—431.
Quasiconformal homeomorphisms and the convex hull boundary Annals of Mathematics 159 (2004), no. 1, 305--336. (with D. Epstein and A. Marden)
On the zeros of functions in the Bers space Publ. Inst. Math., Nouv. Ser. 75 (2004), 185-198. (with A. Fletcher)
Barycentric extension and the Bers embedding for Asymptotic Teichmueller space Complex manifolds and hyperbolic geometry (Guanajuato, 2001), 87--105, Contemp. Math., 311, Amer. Math. Soc., Providence, RI, 2002. (with C. Earle and D. Saric)
Harmonic diffeomorphisms and conformal distortion of Riemann surfaces Communications in Analysis and Geometry 10 (2002), no. 4, 847--876.
Extremal problems for quasiconformal maps of punctured plane domains Transaction American Mathematical Society 354 (2002), no. 4, 1631--1650
Harmonic diffeomorphisms of noncompact Riemann surfaces and Teichmueller spaces Journal London Math. Society 65 (2002), no. 1, 103--114.
Uniformly bounded phi discs, Bers spaces and harmonic maps Proceedings American Math. Society 128 (2000), no. 10, 2947--2956. (with I. Anic and M. Mateljevic)
A new version of the Main inequality and uniqueness of harmonic maps Journal d'Analyse 79 (1999), 315--334. (with M. Mateljevic)
Distance between domains in the sence of Lehto is not a metric Ann. Acad. Sci. Fenn. Math. 24 (1999), no. 1, 3--10. (with V. Bozin)
The uniquely extremal quasiconformal maps and uniqueness of Hahn-Banach extensions Matematicki Vesnik 48 (1996), no. 3-4, 107--112. (with M. Mateljevic)
Unique extremality Journal d'Analyse 75 (1998), 299--338. (with V. Bozin, N. Lakic, M. Mateljevic)
Uniquely extremal quasiconformal mappings and stationary points of the energy integral PhD thesis, University of Belgrade (1998)
Unique extremality in the tangent space of the universal Teichmueller space Integral Transform. Spec. Funct. 6 (1998), no. 1-4, 145--149 (with V. Bozin and M. Mateljevic)