ALL PAPERS

• 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)

• Extremal maps of the Universal hyperbolic solenoid Stony Brook Preprint Series(2006) (with A. Epstein and D. Saric)

• 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)
  
  
  
  
  
  Books
  • A. Fletcher, V. Markovic: Quasiconformal Maps and Teichmueller Theory. Oxford Graduate Texts in Mathematics 11. Oxford University Press (2007)
    
  • Y. Komori, V. Markovic and C. Series (editors): Kleinian groups and hyperbolic 3-manifolds. Proceedings of the Warwick workshop. London Mathematical Society Lecture Note Series 299. Cambridge University Press (2003)
    
    
    
    
    Unpublished Work
  • Harmonic surfaces in 3-manifolds and the Simple Loop Theorem Unpublished

  
  

  • The Weil-Petersson distance between finite degree covers of punctured Riemann surfaces and random ideal triangulations arXiv:0806.2304 (with J. Kahn)