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Prof. Vladimir Markovic FRS

Status
Affiliate Faculty

♦  Professor of Mathematics

♦  Senior Research Fellow at All Souls

Contact form
+44 1865 615127
Research groups
  • Topology

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Recent publications
Non-uniqueness of minimal surfaces in a product of closed Riemann surfaces
Markovic, V Geometric and Functional Analysis volume 32 31-52 (17 Jan 2022)
Uniqueness of minimal diffeomorphisms between surfaces
Markovic, V Bulletin of the London Mathematical Society (26 Apr 2021)
Two Problems on Homogenization in Geometry
Ivrii, O Marković, V Trends in Mathematics volume 12 99-103 (01 Jan 2021)
Non-realizability of the Torelli group as area-preserving homeomorphisms
Chen, L Markovic, V Journal of the London Mathematical Society (28 Jun 2020)
Classifying complex geodesics for the Carathéodory metric on low-dimensional Teichmüller spaces
Gekhtman, D Markovic, V Journal d'Analyse Mathematique volume 140 issue 2 669-694 (20 Apr 2020)
Construction of subsurfaces via good pants
Liu, Y Markovic, V Annals of Mathematics Studies volume 2020 issue 205 233-243 (01 Jan 2020)
Heat flows on hyperbolic spaces
Lemm, M Markovic, V Journal of Differential Geometry volume 108 issue 3 495-529 (02 Mar 2018)
Carathéodory's metrics on Teichmüller spaces and L-shaped pillowcases
Markovic, V Duke Mathematical Journal volume 167 issue 3 497-535 (24 Jan 2018)
Harmonic maps and the Schoen conjecture
Markovic, V Journal of the American Mathematical Society volume 30 issue 3 799-817 (01 Mar 2017)
Homology of curves and surfaces in closed hyperbolic 3-manifolds
Liu, Y Markovic, V Duke Mathematical Journal volume 164 issue 14 2723-2808 (01 Jan 2015)
The good pants homology and the Ehrenpreis conjecture
Kahn, J Markovic, V Annals of Mathematics volume 182 issue 1 1-72 (01 Jan 2015)
Harmonic maps between 3-dimensional hyperbolic spaces
Markovic, V Inventiones Mathematicae volume 199 issue 3 921-951 (01 Jan 2015)
The surface subgroup and the Ehrenepreis conjectures
Kahn, J Markovic, V Proceeding of the International Congress of Mathematicans, ICM 2014 volume 2 897-909 (01 Jan 2014)
Criterion for Cannon's Conjecture
Markovic, V Geometric and Functional Analysis volume 23 issue 3 1035-1061 (01 Jun 2013)
The Moduli Space of Riemann Surfaces of Large Genus
Fletcher, A Kahn, J Markovic, V Geometric and Functional Analysis volume 23 issue 3 867-887 (01 Jun 2013)
Counting essential surfaces in a closed hyperbolic three-manifold
Kahn, J Marković, V Geometry and Topology volume 16 issue 1 601-624 (08 Apr 2012)
Immersing almost geodesic surfaces in a closed hyperbolic three manifold
Kahn, J Markovic, V Annals of Mathematics volume 175 issue 3 1127-1190 (01 Jan 2012)
Decomposing diffeomorphisms of the sphere
Fletcher, A Markovic, V Bulletin of the London Mathematical Society volume 44 issue 3 599-609 (01 Jan 2012)
Quasiconformal homogeneity of genus zero surfaces
Kwakkel, F Markovic, V Journal d'Analyse Mathematique volume 113 issue 1 173-195 (01 Jan 2011)
Topological entropy and diffeomorphisms of surfaces with wandering domains
Kwakkel, F Markovic, V Annales Academiae Scientiarum Fennicae Mathematica volume 35 issue 1 503-513 (20 Oct 2010)
The Teichmüller distance between finite index subgroups of PSL <inf>2</inf>(ℤ)
Markovic, V Šarić, D Geometriae Dedicata volume 136 issue 1 145-165 (01 Oct 2008)
Realization of the mapping class group by homeomorphisms
Markovic, V Inventiones Mathematicae volume 168 issue 3 523-566 (01 Jun 2007)
Extending homeomorphisms of the circle to quasiconformal homeomorphisms of the disk
Epstein, D Markovic, V Geometry and Topology volume 11 517-595 (16 Mar 2007)
Characterisation of plane regions that support quasiconformal mappings to their domes
Marden, A Markovic, V Bulletin of the London Mathematical Society volume 39 issue 6 962-972 (01 Jan 2007)
Quasisymmetric groups
Markovic, V Journal of the American Mathematical Society volume 19 issue 3 673-715 (01 Jul 2006)
Teichmüller mapping class group of the universal hyperbolic solenoid
Markovic, V Šarić, D Transactions of the American Mathematical Society volume 358 issue 6 2637-2650 (01 Jun 2006)
Convex regions in the plane and their domes
Epstein, D Marden, A Markovic, V Proceedings of the London Mathematical Society volume 92 issue 3 624-654 (01 Jan 2006)
Complex earthquakes and deformations of the unit disk
Epstein, D Marden, A Markovic, V Journal of Differential Geometry volume 73 issue 1 119-166 (01 Jan 2006)
The logarithmic spiral: A counterexample to the K = 2 conjecture
Epstein, D Markovic, V Annals of Mathematics volume 161 issue 2 925-957 (01 Jan 2005)
Quasiconformal homeomorphisms and the convex hull boundary
Epstein, D Marden, A Markovic, V Annals of Mathematics volume 159 issue 1 305-336 (01 Jan 2004)
Isometries between the spaces of L<sup>1</sup> holomorphic quadratic differentials on Riemann surfaces of finite type
Earle, C Markovic, V Duke Mathematical Journal volume 120 issue 2 433-440 (01 Nov 2003)
Biholomorphic maps between Teichmüller spaces
Markovic, V Duke Mathematical Journal volume 120 issue 2 405-431 (01 Nov 2003)
Harmonic diffeomorphisms and conformal distortion of Riemann surfaces
Markovic, V Communications in Analysis and Geometry volume 10 issue 4 847-876 (01 Jan 2002)
Harmonic diffeomorphisms of noncompact surfaces and Teichmüller spaces
Markovic, V Journal of the London Mathematical Society volume 65 issue 1 103-114 (01 Jan 2002)
Extremal problems for quasiconformal maps of punctured plane domains
Marković, V Transactions of the American Mathematical Society volume 354 issue 4 1631-1650 (01 Jan 2002)
Uniformly bounded maximal φ-disks, bers space and harmonic maps
Anić, I Marković, V Mateljević, M Proceedings of the American Mathematical Society volume 128 issue 10 2947-2956 (01 Jan 2000)
Distance between domains in the sense of Lehto is not a metric
Božin, V Marković, V Annales Academiae Scientiarum Fennicae Mathematica volume 24 issue 1 3-10 (01 Dec 1999)
A new version of the main inequality and the uniqueness of harmonic maps
Marković, V Mateljević, M Journal d'Analyse Mathematique volume 79 315-334 (01 Jan 1999)
Unique extremality in the tangent space of the universal teichmuller space
Bozin, V Marković, V Mateljevic, M Integral Transforms and Special Functions volume 6 issue 1-4 145-149 (01 Jan 1998)
Unique extremality
Božin, V Lakic, N Marković, V Mateljević, M Journal d'Analyse Mathematique volume 75 299-338 (01 Jan 1998)
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