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CURRICULUM VITAE

David Gabai

EDUCATION Ph.D. , , Princeton, NJ June 1980 M.A. Mathematics, Princeton University, Princeton, NJ June 1977 B.S. Mathematics, M.I.T., Cambridge, MA June 1976 Ph.D. Advisor William P. Thurston

POSITIONS 1980-1981 NSF Postdoctoral Fellow, 1981-1983 Benjamin Pierce Assistant Professor, Harvard University 1983-1986 Assistant Professor, University of Pennsylvania 1986-1988 Associate Professor, California Institute of Technology 1988-2001 Professor of Mathematics, California Institute of Technology 2001- Professor of Mathematics, Princeton University 2012-2019 Chair, Department of Mathematics, Princeton University 2009- Hughes-Rogers Professor of Mathematics, Princeton University

VISITING POSITIONS 1982-1983 Member, Institute for Advanced Study, Princeton, NJ 1984-1985 Postdoctoral Fellow, Mathematical Sciences Research Institute, Berkeley, CA 1985-1986 Member, IHES, France Fall 1989 Member, Institute for Advanced Study, Princeton, NJ Spring 1993 Visiting Fellow, Mathematics Institute University of Warwick, Warwick England June 1994 Professor Invité, Université Paul Sabatier, Toulouse France 1996-1997 Research Professor, MSRI, Berkeley, CA August 1998 Member, Morningside Research Center, Beijing China Spring 2004 Visitor, Institute for Advanced Study, Princeton, NJ Spring 2007 Member, Institute for Advanced Study, Princeton, NJ 2015-2016 Member, Institute for Advanced Study, Princeton, NJ Fall 2019 Visitor, Mathematical Institute, University of Oxford Spring 2020 Member, Institute for Advanced Study, Princeton NJ

HONORS and AWARDS NSF Graduate Fellowship 1976 NSF Postdoctoral Fellowship 1980 Sloan Foundation Fellowship 1986 AMS Centennial Fellowship 1988 NSF FRG Grant 2006-2009 NSF FRG Grant 2009-2013 Fine Professor of Mathematics, Spring 2004, Fall 2011 Oswald Veblen Prize in 2004 2009 Hughes-Rogers Professor 2009- National Academy of Sciences 2011 Fellow of the American Mathematical Society 2012 American Academy of Arts and Sciences 2014 NSF Individual Research Grants 1982 – 2023

SELECTED LECTURES 1990 45-Minute Speaker-International Congress of Mathematicians, Japan 1995 Hour Speaker - Joint AMS/SMM meeting, Guanajuato Mexico 1996 Porter Lectures, Rice University 2001 Marston Morse Memorial Lectures, Institute for Advanced Study, Princeton NJ 2002 Unni Namboodiri Memorial Lectures, , Chicago IL 2006 Park City Math Institute Lecture series, Park City, UT 2008 Joseph Fels Ritt Lectures, Columbia 2008 Zabrodsky Memorial Lectures, Hebrew University 2009 Hans Rademacher Lectures, University of Pennsylvania 2010 45-Minute Speaker-International Congress of Mathematicians, India 2012 Panorama Lectures – Bangalore, India 2013 Aisenstadt Chair Lectures – CRM Montreal 2013 Cantrell Lectures – U. Georgia 2015 DePrima Lecture – Caltech 2016 BP Centennial Lecture – Harvard 2017 75 Years of Math in Mexico, Plenary Lecture, Mexico City 2019 Rohklin 100, Plenary lecture, Saint Petersburg Russia

CONFERENCE SCIENTIFIC ADVISORY COMMITTEES Georgia International Topology Conference, Aug 1993 International Conference on Knots and 3-manifolds, CIRM, Marseille France Jul 1994 Conference on the Poincare Conjecture, CIRM, Levico Terme Italy Jul 1995 Low Dimensional Topology Conference, CIRM, Levico Terme Italy Jul 1996 Low Dimensional Topology Conference, Madeira Portugal Jul 1998 Foundations of Comp. Math. (Comp. Geometry and Topology Section), Oxford Aug 1999 Georgia International Topology Conference, May 2001 ICM Satellite Geometric Topology Conference, Xi’an China, Aug 2002 AIM & MSRI workshops on Perelman’s work, Dec 2003 Oxford Topology Conference, Aug 2004 Georgia Topology Conference, June 2005 John Morgan 60th Birthday, May 2006 Holomorphic Dynamics, Fields Institute, Spring 2006 Low Dimensional Topology and Geometry, Warwick University, UK, 2006-2007 Conference on Geometric Topology, Beijing China, June 2007 Thurston 60th Birthday, Princeton NJ, June 2007 Georgia International Topology Conference, May 2009 William Jaco 70th Birthday, Oklahoma, June 2010 ICM Satellite Conference: Geometric Topology and R. Geometry, Bangalore India, August 2010 Workshop on Low Dimensional Topology and Geometry, Princeton February 2011 Panorama of Topology, Princeton, May 2012 ICERM workshop on Topology, Geometry and Group Theory informed by experiment, Sep. 2013 Mathematical Legacy of Bill Thurston, Cornell U, June 2014 Classical and quantum and topology, Orsay France, July 2015 Flows, foliations and contact Structures, IAS, December 2015 Georgia International Topology Conference, May 2017 Low Dimensional Topology and Related Topics, CIRM, Winter 2018 CMI Workshop on Low Dimensional Topology, Oxford January 2020

LOCAL CONFERENCE AND SEMINAR ORGANIZER Caltech Topology Seminar 1986-2001 Very Informal Foliations Seminar (MSRI) Spring 1997 Southern California Topology Colloquium, Caltech 1992, 1995, 1998, 1999 (2x), 2001 Wu-Chung Hsiang Topology Meeting, Princeton December 10, 2005 Thurston 60th Birthday conference, Princeton June 7-11, 2007 FRG Conference, Princeton March 14-16, 2011 Browder retirement conference, Princeton May 8-11, 2012 Groups explored through geometry and dynamics, Princeton September 8-10, 2017 Princeton Topology Seminar 2002-

EDITORIAL POSITIONS Annals of Mathematics (Editor) 2005-2019 Geometry and Topology (Editor) 1996- Mathematical Research Letters (Editor) 1996- Journal of Differential Geometry (Associate Editor) 2004- Pure and Applied Mathematics Quarterly 2020- Other: Annals of Mathematics (Comptroller) 2019-

FORMER AND CURRENT Ph.D. STUDENTS – Ph. D. MIT 1981 Ramin Naimi - Ph. D. Caltech 1992 Natasa Kovacevic - Ph. D. Caltech 1996 Yanglim Choi - Ph. D. Caltech 1998 Siddhartha Gadgil - Ph. D. Caltech 1999 Douglas Zare - Ph. D. Caltech 1999 Tao Li - Ph. D. Caltech 2000 Peter Milley – Ph. D. Princeton 2003 Baris Coskunuzer – Ph. D. Princeton 2004 Yi Ni – Ph. D. Princeton 2007 Will Cavendish – Ph. D. Princeton 2012 Maria Trnkova- Ph. D. Palacky U. (Czech Republic) 2012 Hongbin Sun – Ph. D. Princeton 2014 Conan Wu – Ph. D. Princeton 2015 Mehdi Yazdi – Ph. D. Princeton 2017 Hannah Schwartz Ph.D.Bryn Mawr 2019 (co-supervised 2-torsion project) Maggie Miller – Ph. D. Princeton 2020 Nathaniel Thurston (UC Berkeley, Ipvive) Shruthi Sridhar – 3’rd year

SENIOR THESIS SUPERVISION Julia Salzsman 2002 Frank Seuffert 2009 Robert Haraway 2010 Dan Appel 2010 Paul Rapoport 2015

MATH DEPARTMENT SERVICE Director of Graduate Studies, Fall 2008-Spring 2012 Chair, July 1, 2012 - June 30, 2019 Jr. Faculty selection committee, AY 2002, 2006 (Chair), 2011 Graduate Student selection committee, AY 2003, 2005, 2008-2012 Sr. Faculty hiring committee, AY 2012 Alumni Weekend, Math Open House lecture 2014, 2019 Minerva Lectures Committee 2012-

UNIVERSITY SERVICE Faculty Advisory Committee on Appointments and Advancements (C/3) 2013-2014.

COMMUNITY SERVICE NSF Postdoctoral Fellowship Selection Panel 4x in 1990’s AMS Western States Program Committee 1999-2001 NSF Panel 2x in 2000’s Institute for Computational and Experimental Research in Mathematics, Scientific Board 2010-2012 Yau High School Math Award (Beijing), Scientific Committee 2014 ICM 2018 Topology Speaker Selection Panel 2017-18 Hang Lung Math Competition, (Hong Kong), Scientific Committee 2018 MSRI Committee of Academic Sponsors 2013- PU/IAS Women and Math., Princeton U. Committee Representative 2019- American Institute of Mathematics, Scientific Board 2003-2020 AMS Fellows Selection Committee 2020- Simons Foundation, MPS Scientific Advisory Board 2020-

Bibliography of

[1] "The Murasugi Sum is a Natural Geometric Operation", Contemporary Mathematics 20 (1983), 131-145. [2] "Foliations and the Topology of 3-Manifolds", Bull. AMS 8 (1983), 77-80. [3] "Foliations and the Topology of 3-Manifolds", J. of Diff. Geom. 18 (1983), 445-503. [4] "Foliations and Genera of Links", Topology 23 (1984), 381-394. [5] "The Murasugi Sum is a Natural Geometric Operation II", Contemporary Mathematics 44 (1985), 93-100. [6] "The Simple Loop Conjecture", J. of Diff. Geom. 21(1985), 143-149. [7] "An Internal Hierarchy for 3-Manifolds", Lecture Notes in Mathematics, Springer 1144 (1985), 14-17. [8] "Genera of the Arborescent Links", Memoirs of the AMS, number 339, 1986. [9] "The Classification of Maps of Surfaces" (with Will Kazez), Bulletin of the AMS. 14 (1986), 283-286. [10] "Foliations and Surgery on Knots", Bulletin of the AMS. 15 (1986), 83-87. [11] "Genera of the Alternating Links", Duke Math. J., 53 (1986), 677-681. [12] "Detecting Fibred Links in S3", Commentarii Math. Helvetici, 61 (1986), 519-555. [13] "On 3-Manifolds Covered by Surface Bundles", London Math. Soc. Lecture Notes #112 (1987) 145-156. [14] "Foliations and the Topology of 3-Manifolds II", J. of Diff. Geom. 26 (1987) 461-478. [15] "Foliations and the Topology of 3-Manifolds III", J. of Diff. Geom. 26 (1987) 479-536. [16] "Genus is Superadditive under Band Connected Sum", Topology 26 (1987) 209-210. [17] "The Classification of Maps of Surfaces" (with Will Kazez), Invent. Math. 90 (1987) 219-242. [18] "The Classification of Maps of Non Orientable Surfaces" (with Will Kazez), Math. Annalen, 281 (1988) 687-702.

[19] "Surgery on Knots in Solid Tori", Topology, 28 (1989), 1-6. [20] "Essential Laminations in 3-Manifolds", (with Ulrich Oertel), Annals of Math, 130 (1989) 41-73. [21] "Pseudo Anosov Maps and Surgery on Fibred 2-Bridge Knots" (with Will Kazez), Top. and its App., 37 (1990), 93-100. [22] "1-Bridge Braids in Solid Tori", Topology and its Applications, 37 (1990), 221-235. [23] "Convergence Groups are Fuchsian Groups", Bull. AMS., (2) 25 (1991), 395-402. [24] "3-Manifolds and Foliations", Proc. Int. Cong. Math. 1990 Kyoto (1992), 609-619. [25] "Taut Foliations of 3-Manifolds and Suspensions of S1", Ann. Inst. Fourier, 42 (1992), 193-208. [26] "Convergence Groups are Fuchsian Groups", Annals of Math. 136 (1992), 447-510. [27] "3-Manifolds with Essential Laminations are Covered by Solid Tori" (with Will Kazez), J. Lon. Math. Soc., (2), 47 (1993), 557-576. [28] "Homotopy Hyperbolic 3-Manifolds are Virtually Hyperbolic", JAMS, 7 (1994), 193-198. [29] "On the Geometric and Topological Rigidity of Hyperbolic 3-Manifolds", Bull. AMS. 31 (1994), 228-232 [30] "Valentin Poenaru's Program for the Poincare Conjecture", Geom. Top. Physics. for , Int. Press., (1995), 139- 166.

[31] "Homotopy, Isotopy and Genuine Laminations of 3-Manifolds" (with Will Kazez), Proc. 1993 Georgia Top. Conf., Stud. in Adv. Math. Vol 2.1, (1997), 123-138. [32] "Problems on the Geometric Theory of Foliations and Laminations on 3-Manifolds, Proc. 1993 Georgia Top. Conf., Stud. in Adv. Math. Vol 2.2, (1997), 1-34. [33] “On the Geometric and Topological Rigidity of Hyperbolic 3-Manifolds", JAMS, 10 (1997), 37-74. [34] “Order trees and laminations of the plane” (with Will Kazez), Math. Res. Letters, 4 (1997), 603-616. [35] “Group Negative Curvature for 3-Manifolds with Genuine Laminations”(with Will Kazez), Geom. and Top., 2 (1998) 65-77. [36] “Semi-Euclidean Laminations in 3-Manifolds”, Surveys in Differential Geometry (Inter. Press) 3 (1998) 195-242. [37] “Finiteness of the Mapping Class Group for 3-Manfolds with Essential Laminations", (with Will Kazez), J. Diff. Geom. 50 (1998), 123-127. [38] “Essential Laminations and Kneser Normal Form”, J. Diff. Geom., 53 (1999), 517-574. [39] “Taut Foliations and Combinatorial Volume Preserving Flows”, Comm. Math. Helv, 75 (2000), 109-124. [40] “3 Lectures on Foliations and Laminations on 3-Manifolds”, Contemp. Math. 269 (2001), 87-109. [41] “On Brittenham’s Theorem", Comm. Anal. Geom., 9(2001), 341-349. [42] “Volumes of Tubes in Hyperbolic 3-Manifolds” (with Robert Meyerhoff, Peter Milley), J. Diff. Geom., 57(2001), 23-46. [43] “The Smale Conjecture for Hyperbolic 3-Manifolds”, J. Diff. Geom., 58(2001), 113-149. [44] “Homotopy Hyperbolic 3-Manifolds are Hyperbolic”, (with Robert Meyerhoff, Nathaniel Thurston), Annals of Math., 157 (2003), 335-431. [45] “Kneser’s Work on Maps of Surfaces”, (with W. Kazez), Helmut Kneser Memorial Volume Verlag De Gruyter, Berlin 2006, 803-807. [46] “Shrinkwrapping and the Taming of Hyperbolic 3-Manifolds”, (with D. Calegari), J. AMS, 19 (2006), 385-446. [47] “Covering a nontaming knot by the unlink”, (with M. Freedman), Alg. & Geom. Top., 7 (2007), 1561-1578. [48] “Hyperbolic geometry and 3-Manifold Topology”, 2006 PCMI lectures, IAS/Park City 15 (2009), 73-104. [49] “Almost filling laminations and the connectivity of ending lamination space”, Geom. Top., 13 (2009), 1017-1041. [50] “Minimum volume cusped hyperbolic 3-manifolds”, (with R. Meyerhoff and P. Milley), J. AMS, 22 (2009), 1157-1215. [51] “Mom technology and hyperbolic 3-manifolds”, (with R. Meyerhoff and P. Milley), Contemp. Math. 510 (2010), 84-107. [52] “Hyperbolic 3-manifolds in the 2000’s”, Proc. Int. Cong. Math., 2010 Hyderabad, India 2 (2010) , 960-972. [53] ”Mom technology and volumes of hyperbolic 3-manifolds”, (with R. Meyerhoff and P. Milley), Comment. Math. Helv. 86 (2011), 145-188. [54] “The Whitehead manifold is the union of two Euclidean spaces”, J. of Topology, 3 (2011), 529-534. [55] “Volumes of hyperbolic 3-manifolds”, (with R. Meyerhoff and P. Milley), Clay Math. Proc., 19 (2014), 65-79. [56] “On the topology of ending lamination space”, Geometry and Topology, 18 (2014), 2683-2745. [57] ”Exceptional hyperbolic 3-manifolds”, (with M. Trnkova), Comment. Math. Helv., 90 (2015), 703-730. [58] “Effective Finiteness of Irreducible Heegaard Splittings of Non Haken 3-Manifolds” (with Toby Colding), Duke Math. J., 167 (2018), 2793-2832.

[59] “On the classification of Heegaard splittings” (with Toby Colding and Daniel Ketover), Duke Math. J., 167 (2018), 2833-2856. [60] “The 4-dimensional light bulb theorem”, J. AMS 33 (2020), 609-652. [61] “The fully marked surface theorem” (with Mehdi Yazdi), Acta Math., 225 (2020), 369-413. [62] "Self-referential discs and the light bulb lemma", to appear Comment. Math. Helv. [63] "Geometric Methods in Heegaard theory" (with Toby Colding and Daniel Ketover), to appear 2020 J. Diff. Geom. Surveys. [64] “The two eyes lemma: A linking problem for horoball necklaces” (with Andrew Yarmola and Rob Meyerhoff), preprint. [65] "Knotted 3-balls in S4" (with Ryan Budney), preprint.

Editing: [1] “Remembering Bill Thurston”, (coordinating editor with S. Kerckhoff), Notices of the AMS, 62 (2015), 1318-1332. [2] “William P. Thurston, 1946-2012”, (coordinating editor with S. Kerckhoff), Notices of the AMS, 63(2016), 31-41. [3] 2020 Journal of Differential Geometry Surveys, (co-edited with ), to appear.

Other: [1] “Thurston’s Geometrization Conjecture”, (with S. Kerckhoff), 2009 Annual Report of the Clay Mathematics Institute, 32- 38.