VLADIMIR MARKOVIC

CURICULUM VITAE

Personal information. • Citizenship: British • Born in Germany in 1973

Education. • 1995-1998 PhD, University of Belgrade • 1992-1995 BSc, University of Belgrade

Current Employment. • Senior Research Fellow, All Souls College (2020-) • Professor of Mathematics, University of Oxford (2020-)

Employment history. • John D. MacArthur Professor, CalTech (2013-2020) • Sadleirian Professor, University of Cambridge (2013-2014) • Professor, CalTech (2011-2013) • Professor (since 2006), (2000-2011), • Associate Professor (with tenure), Stony Brook (2006- 2008) • “Duchnam Jackson” Assistant Professor, (1998-2000)

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Prizes and Distinctions. • Simons Investigator Award, (2016) • ICM Invited Speaker, Section and Dynamical Systems Section, Korea (2014) • Elected Fellow of the Royal Society (2014) • Research Merit Award, Royal Society (2014) • Clay Research Award, awarded by Clay Institute (2012) • Whitehead Prize, awarded by LMS (2004) • Leverhulme Prize, awarded by Leverhulme Trust (2004)

Distinguished Lectures. • Distinguished Lectures at University of Indiana, 2020 • Namboodiri Lectures at University of Chicago, 2019 • Ordway Lectures at University of Minnesota, 2013 • ICM Invited Lecture, Seoul, Korea, 2014 • AMS Plenary Lecture at Ames, 2013 • Masterclass at University of Aarhus, 2012 • Plenary Lecture at Clay’s Conference at University of Oxford, 2012 3

Major Grants. • Simons Investigator, The Simons Foundation (2016-2026) • NSF Grant: Topics in Low Dimensional Geometric Analysis (2018- 2021) • NSF Grant: Harmonic maps between hyperbolic spaces, realiz- ing number fields as invariant trace fields, and constructing surface subgroups in hyperbolic groups (2015-2018) • NSF Grant: Geometry and topology of curves and surfaces in closed hyperbolic manifolds (2012-2015) • EPSRC: Advanced research fellowship award (2002-2007)

Graduate students: (1) James Giblin (2) Alastair Fletcher (3) Anestis Fotiadis (4) Rob Fryer (5) Lei Fu (6) Dmitry Gektman (7) Nathaniel Segman

Recent Postdocs: (1) Anna Parlak (PhD from University of Warwick) (2) Peter Smillie (PhD from Harvard) (3) Lei Chen (PhD from University of Chicago) (4) Oleg Ivrii (PhD from Harvard) (5) Qiongling Li (PhD from Rice) (6) Tengren Zhang (PhD from Ann Arbor) (7) Subhojoy Gupta (PhD from Yale) (8) Yi Liu (PhD from Berkeley) (9) Shinpei Baba (PhD from Davis) (10) Alistair Fletcher (PhD from Warwick) (11) Samuel Lelievre (PhD from Ecole Normale Superiore) 4 CURICULUM VITAE

Selected Publications: (1) Caratheodory’s Metrics on Teichmueller Spaces and L-shaped pil- lowcases. Duke Journal of Mathematics 167 (2018), no. 3, 497-535. (2) Heat Flows On Hyperbolic Spaces. Journal of Differential Ge- ometry 108 (2018), no. 3 495-529 (3) Harmonic Maps and the Schoen Conjecture. Journal of American Mathematical Society 30 (2017), no. 3, 799-817 (4) Homology of curves and surfaces in closed hyperbolic 3-manifolds. Duke Journal of Mathematics 164 (2015), no. 14, 2723-2808 (with Y. Liu) (5) The good pants homology and a proof of the . Annals of Mathematics (2) 182, No. 1, 1-72 (2015) (with J. Kahn) (6) The moduli space of Riemann surfaces of large genus. GAFA 23 (2013), no. 3, 867-887. (with A. Fletcher and J. Kahn) (7) Harmonic maps between hyperbolic 3-spaces. Inventiones Math- ematicae. 199, No. 3, 921-951 (2015) (8) Criterion for Cannon’s Conjecture. GAFA 23, No. 3, 1035-1061 (2013) (9) Immersing almost geodesic surfaces in a closed hyperbolic 3-manifold. Annals of Mathematics (2) 175 (2012), no. 3, 1127–1190. (with J. Kahn) (10) Counting essential surfaces in a closed hyperbolic three-manifold. Geometry and Topology 16 (2012), no. 1, 601–624. (with J. Kahn) (11) Realization of the Mapping class group by homeomorphisms. Inventiones Mathematicae 168, no. 3, 523–566. (2007) (12) Extending homeomorphisms of the circle to quasiconformal home- omorphisms of the disc. Geometry and Topology 11, 517–595. (2007) (with D. Epstein) (13) Quasiconformal Maps and Teichm¨ullerTheory. Oxford Graduate Texts in Mathematics Oxford University Press (2007) (with A. Fletcher) 5

(14) Quasisymmetric groups. Journal of American Mathematical Society 19, no. 3, 673–715 (2006) (15) Classification of continuously transitive circle groups. Geometry and Topology 10, 1319–1346 (2006) (with J. Giblin) (16) The logarithmic spiral: A counterexample to the K=2 conjecture. Annals of Mathematics 161, no. 2, 925–957 (2005) (with D. Epstein) (17) Complex earthquakes and deformations of the unit disc. Journal of Differential Geometry 73, no. 1, 119–166 (2006) (with D. Epstein, A. Marden) (18) Quasiconformal homeomorphisms and the convex hull boundary. Annals of Mathematics 159, no. 1, 305–336 (2004) (with D. Epstein, A. Marden) (19) Isometries Between the Spaces of L1 Holomorphic Quadratic Differ- entials on Riemann Surfaces of Finite Type. Duke Mathematical Journal 120, no. 2, 433–440 (2003) (with C. Earle) (20) Biholomorphic maps between Teichm¨ullerspaces. Duke Mathematical Journal 120, no. 2, 405–431 (2003)