Math @ Duke

Curriculum Vitae
Robert BryantClick here for a printerready version, or
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Box 90320, Durham, NC 277080320

(919) 6602817 (office) (email)

 Personal
Born: 1953 Place: Kipling, NC Citizenship: US
 Education
Ph.D.  University of North Carolina  Chapel Hill  1979 
B.S.  North Carolina State University  1974 
 Areas of Research
Nonlinear Partial Differential Equations and Differential Geometry
 Areas of Interest
exterior differential systems differential geometry algebraic geometry Finsler geometry
 Areas of Experience
Geometric Partial Differential Equations Differential Geometry
 Professional Experience / Employment History
 University of California at Berkeley
 Emeritus Professor, Mathematics, August 30, 2013  present

 Professor, Mathematics, July 1, 2007  June 30, 2013
 Duke University
 Phillip Griffiths Professor of Mathematics, Mathematics, August 23, 2013  present

 Senior Research Scientist, Mathematics, July 1, 2008  June 30, 2013

 J. M. Kreps Professor, Mathematics, July 1, 1988  June 30, 2008

 Arts and Sciences Professor, Mathematics, 198788
 Mathematical Sciences Research Institute
 Director, August 1, 2007  July 31, 2013
 Rice University
 Noah Harding Professor, Mathematics, 198688

 Professor, Mathematics, 198286

 Associate Professor, Mathematics, 198182

 Assistant Professor, Mathematics, 197981
 Visiting Positions
 Nachdiplom Lecturer, Eidgenössische Technische Hochschule Zürich (ETHZ), November 6, 2006  December 22, 2006
 Samuel Eilenberg Professor, Columbia University, JanuaryApril 2004
 Simons Research Professor, Mathematical Sciences Research Institute, AugustDecember 2003
 Clay Research Professor, Mathematical Sciences Research Institute, JanuaryMay 2002
 Senior Visitor, Mathematical Sciences Research Institute, AugustDecember 2001
 Professor, Institute Elie Cartan, June 1998
 Visitor, Instituto Nacional de Matematica Pura e Applicada, JulyAugust 1996
 Visitor, Nankai Institute of Mathematics, May 1995
 Andre Aisenstadt Professor, Centre de Recherches Mathematique, October 1994
 Member, Mathematical Sciences Research Institute, JanuaryJune 1994
 Director's Visitor, Institute for Advanced Study, SeptemberDecember 1993
 Visitor, University of Adelaide, JulyAugust 1993
 Member, Instituto Nacional de Matematica Pura e Applicada, JulyAugust 1990
 W. R. Reynolds Professor, University of North Carolina at Chapel Hill, JulyDecember 1987
 Member, Instituto Nacional de Matematica Pura e Applicada, May 1986
 Member, Institue des Hautes Etudes Scientifiques, November 1985
 Member, Max Planck Institut, October 1985
 Professor, Duke University, AugustDecember 1984
 Member, Mathematical Sciences Research Institute, AprilMay 1983
 Associate Professor, Harvard, AugustDecember 1982
 Member and NSF Postdoctoral Fellow, Institute for Advanced Study, 197980
 Awards, Honors, and Distinctions
AAAS Fellow, American Association for the Advancement of Science
Distinguished Alumnus, University of North Carolina at Chapel Hill, October 12, 2018
Fellow, American Mathematical Society, 2013
Member, National Academy of Science, 2007
Member, Phi Beta Kappa, 2007
Distinguished Alumni Award from the College of Physical and Mathematical Sciences, NCSU Alumni Association, 2005
American Academy of Arts & Sciences Fellow, 2002
Fellow, American Academy of Arts and Sciences
MAA Southeastern Regional Distinguished Teaching, 1993
Trinity College Distinguished Teaching, 1992
Presidential Young Investigator, 1984
Sloan Research Fellow, 1982
NSF Postdoctoral Research Fellow, 1979
 Major Grant Support
DMS8352009 DMS8601853 DMS8905207 DMS8996110 DMS9205222 DMS9505125 DMS9870164 DMS0103884 DMS0604195 DMS0848131 DMS1105868
 Recent Grant Support
 Special Holonomy In Geometry, Analysis and Physics, Simons Foundation, 2020/072023/06.
 Special Holonomy In Geometry, Analysis and Physics, Simons Foundation, 347349, 2016/072020/06.
 Conferences Organized
 Member of Organizing Board, Annual East Coast Geometry Festival, 1 January 1990
 Organizer, Transforming PostSecondary Education in Mathematics (Duke Regional Meeting), December 05, 2015  December 06, 2015
 Member, Organizing Committee : Bay Area Differential Geometry Seminar, Member, Organizing Committee : Bay Area Differential Geometry Seminar. 2008  2013, 2008  2013
 CoOrganizer : Chern Centennial Conference, CoOrganizer : Chern Centennial Conference. October 24, 2011  November 4, 2011, October 24, 2011  November 04, 2011
 Conference Organizer, AIM Workshop on Calibrations, June 26, 2006  June 30, 2006
 Scientific Advisor on Organizing Committee, Singularities in Analysis, Geometry, and Topology: A Conference Honoring the Retirements of F. Reese Harvey and John Polking, November 11, 2005  November 13, 2005
 Member of organizing committee, International Symposium on Finsler Geometry, August 10, 2004  August 14, 2004
 coOrganizer, Oberwolfach BiAnnual Differential Geometry in the Large, June 15, 2001  May 31, 2004
 coOrganizer, MSRI YearLong Program in Geometry (20032004), 200104
 Professional Service
 University Committee
 Member, Provost's Advisory Committee on Distinguished Professors, 2015  present
 Associate Director, Chamber Arts Society of Durham, July 1, 2013  June 30, 2014
 Faculty Representative, Harassment Grievance Board, July 01, 2005  June 30, 2008
 Director (since 2000), Chamber Arts Society of Durham, September 1, 1997  June 30, 2007
 Member, Athletic Council Review Commitee, September, 2006  December, 2006
 Member (1st year), Chair (2nd year), Provost's Advisory Committee on Distinguished Professorships, September, 2004  August, 2006
 Member, Duke Academic Priorities Committee, Duke, 19992003
 Committee member, Search Committee for Director of Program in Education, Duke University, 200203
 Member, Duke Harrassment Grievance Board, 19982000
 Committee Member, Bass Chair Advisory Committee, 199799
 Member, Duke Curriculum Review Committee, 199799
 Member, Provost's Advisory Committee on AP&T, 199598
 Papers Refereed
 User and Editor, MathOverflow, 2011  present
 Moderator, arXiv oversight committee, 2005  present
 Referee, Refereed for a number of mathematics journals, 1980  present
 Reviewed propoals, November 2006
 Referee, Refereed for a number of journals, January 01, 2005  December 31, 2005
 reviewer, Refereed for a number of journals, January 01, 2004  December 31, 2004
 Referee, Refereeing papers, JanuaryDecember 2002
 Refereeing papers, JanuaryDecember 2001
 Reviewer, Reviewed manuscripts, JanuaryDecember 2000
 Math Community Services
 Member, Scientific Advisory Board, 1 January 2018
 Trustee, Board of Trustees, 1 January 2017
 Member, Advisory Board, 1 January 2016
 Member, Board of Trustees, 1 January 2016
 Member, Division of Mathematical Sciences Representative, National Science Foundation Math and Physical Science Advisory Committee, July 1, 2014  present
 Member : Scientific Committee of the IHÉS, Member : Scientific Committee of the IHÉS. June 1, 2013, June 01, 2013  present
 Chair : Section I:1 (Mathematics and Statistics) panel for 2014 AAAS elections, Chair : Section I:1 (Mathematics and Statistics) panel for 2014 AAAS elections. June 1, 2011, June 01, 2011  present
 Exterior Member : Academic Council of the Institute Henri Poincaré, Exterior Member : Academic Council of the Institute Henri Poincaré. July 1, 2010, July 01, 2010  present
 Member : International Committee for the National Mathematics Centre of Nigeria, Member : International Committee for the National Mathematics Centre of Nigeria. January 1, 2008, January 01, 2008  present
 Associate Editor, Journal of the American Mathematical Society, February 1, 2005  present
 Member, Communications in Analysis and Geometry Editorial Board, November 2002  present
 Member, Duke Mathematical Journal Editorial Board, July 1997  present
 Member (Alternate), Board on International Scientific Organizations, 202226
 Member, 2026 International Congress of Mathematicians Organizing Committee, 202226
 Invited Attendant, Simons Collaboration on Global Categorical Symmetries Annual Meeting, November 2022
 Invited Attendant, Computational Differential Geometry and its Applications in Physics: November 1418, 2022, November 2022
 Invited Attendant, Mathematics and Physical Sciences Annual Meeting, October 2022
 Chair, Review of Mathematics and Theoretical Computer Science, September 2022
 Organizer, Progress and Open Problems in Special Holonomy, September 2022
 Director and Organizer, Annual Meeting of the Simons Collaboration on Special Holonomy, September 2022
 Member, United States Committee to Secure the 2026 International Congress of Mathematicians, 202122
 Chair, Committee on Diversity, 202022
 Invited Attendant, Forty Years of Ricci Flow: The GeometricFlow Revolution in Global Differential Geometry: July 1115, 2022, July 2022
 Member, US National Committee for Mathematics, 201921
 Director, lead Organizer, Annual Meeting of the Simons Collaboration on Special Holonomy, September 2021
 Participant, Faculty Short Course on Improving Departmental Climate, August 2021
 Section Chair of Section 11 (Mathematics), Section Chair of Section 11 (Mathematics). National Academy of Sciences. May 2018  May 2021, 201821
 Member, Mathematics and Physical Sciences Advisory Committee, 201421
 Editor, Communications in Analysis and Geometry, 200321
 Member, Search Advisory Committee for the Assistant Director of the MPS Directorate, FebruaryJune 2020
 Chair, Scientific Council, 201620
 Chair of Membership Committee, Class I, Section 1 (Mathematics), 201218
 Immediate Past President, Immediate Past President. American Mathematical Society. February 2017  February 2018, 201718
 Chair, Search Committee for new Director of the Division of Mathematical Sciences, JanuaryJune 2017
 President of the American Mathematical Society, President of the American Mathematical Society. American Mathematical Society. February 1, 2015  January 31, 2017, February 01, 2015  January 31, 2017
 Presidentelect, Council of the AMS, February 1, 2014  January 31, 2015
 Member (Class I), National Academy of Sciences Class Membership Committee, November 15, 2013  November 15, 2014
 Member, Class I Membership Committee, Member, Class I Membership Committee. National Academy of Sciences. November 15, 2013  November 15, 2014, 201314
 Chair : 2014 Chern Medal Committee of the International Mathematical Union, Chair : 2014 Chern Medal Committee of the International Mathematical Union. June 1, 2012  August 15, 2014, June 01, 2012  August 15, 2014
 Member : Board of Trustees of the Banff International Research Station, Member : Board of Trustees of the Banff International Research Station. July 1, 2009  July 31, 2013, July 1, 2009  July 31, 2013
 Member : StatsNSF, Member : StatsNSF. November 1, 2012  July 2013, November 1, 2012  July 01, 2014
 Deputy Chair, Chair, then Program Chair : Executive Committee of the Golden Section of the MAA, Deputy Chair, Chair, then Program Chair : Executive Committee of the Golden Section of the MAA. March 1, 2008  February 28, 2011, March 01, 2008  February 28, 2011
 Member, Differential Geometry and its Applications Editorial Board, May 1, 1999  August 01, 2010
 Vice President, American Mathematical Society, February 01, 2007  January 31, 2010
 Director, Park City/IAS Mathematics Institute, January 01, 2007  August 01, 2009
 Member, AMS Editorial Boards Committee, February 01, 2006  January 31, 2009
 Executive Committee Member, American Mathematical Society Council, 200004
 Member, Harvard Board of Visitors, Harvard University, 200104
 Council Member at Large, Council of the American Mathematical Society, January 1, 1999  March 31, 2004
 Chair, Mathematical Sciences Research Institute Board of Trustees, March 1, 2001  March 1, 2004
 Member (Years 1&2), Chair (Years 36), AMS Committee on Publications, 19982004
 Southeastern Section Lecturer, Mathematical Association of America, 200103
 Member, Mathematical Sciences Research Institute Board of Trustees, March 19, 1999  February 28, 2001
 Director of the Undergraduate Program, IAS/Park City Mathematics Institute, 19932000
 Panel Member of Proposal Evaluators, Fundacao para a Ciencia e Tecnologia (FCT), FebruaryJune 2000
 Member, AMS Task Force on Membership, 19982000
 Editor, Transactions of the American Mathematical Society, 199297
 Univ Services
 President's Council on Black Affairs, 201922
 Academic Council of Arts and Sciences, 201820
 Provost Advisory Committee on Appointments, Promotion, and Tenure, 201619
 Advisory Committee on Distinguished Professorships in Arts and Sciences, 201618
 Other
 Ombud, Ombud. Duke Department of Mathematics. July 2019, 1 July 2019
 Academic member of the board of directors, The Vietnam Education Foundation, 200205
 Selected Recent Invited Talks
 On the CartanKuranishi Prolongation Theorem, New York, NY, 4 May 2022
 On solitons for the closed G2Laplacian flow, Denver, CO, 17 January 2020
 Curvaturehomogeneous metrics in dimension 3., Colorado UniversityBoulder Mathematics, 2 May 2017
 Engel structures, rigid curves, and compatible complex and symplectic structcures, American Institute of Mathematics, 20 April 2017
 On families of special holonomy metrics defined by algebraic curvature conditions, Simons Center for Geometry and Physics, Stony Brook, NY, September 06, 2016
 Integration techniques for exterior differential systems I & II, Durham, UK, July 27, 2016
 On curvaturehomogeneous metrics in dimension 3, Università degli studi Firenze (Florence, Italy), July 11, 2016
 Curvaturehomogeneous metrics in dimension 3, Simons Center for Geometry and Physics, Stony Brook, NY, April 28, 2016
 The geometry and dynamics of uniformly periodic recursion relations, Vanderbilt University, April 21, 2016
 The geometry and dynamics of periodic equiareal sequences, Tulane University Mathematics Department, February 25, 2016
 Beyond Holonomy: Constrained Structure Equations, Institut Henri Poincaré, Paris, France, December 14, 2015 [lichnerowicz2015]
 Curvaturehomogeneous metrics in dimension 3, Howard University, Washington, DC, October 24, 2015 [pdf]
 On curvaturehomogeneous 3manifolds, Howard University, 24 October 2015
 On curvaturehomogeneous 3manifolds, University College Cork, Cork, Ireland, October 13, 2015
 The idea of holonomy, University College Cork, Cork, Ireland, October 12, 2015
 The geometry of periodic equiPoisson sequences, University of California, Irvine, Mathematics Department, May 29, 2015
 The geometry of equiareal sequences, North Carolina State University Mathematics Department, January 29, 2015
 Gstructures with prescribed geometry, The 35th Winter School in GEOMETRY AND PHYSICS, Srní, Czech Republic, January 1820, 2015 [available here]
 Some geometric constructions of holonomy plane fields and their analysis, Institut Henri Poincaré, Paris France, December 10, 2014 [html]
 Some exceptional geometry of rolling surfaces, UNC Greensboro, November 09, 2014 [pdf]
 Convex billiards and nonholonomic systems, University of Colorado at Boulder , October 14, 2014 [available here]
 The idea of holonomy, University of Colorado at Boulder, October 13, 2014 [available here]
 Riemannian manifolds with special holonomy and special curvature, Simons Center for Geometry and Physics, Stony Brook, NY, September 30, 2014 [12683]
 On G_2 and complex and almostcomplex structures on 6manifolds, University College London, July 14, 2014
 On G_2 and complex and almostcomplex structures on 6manifolds, London, UK, 14 July 2014
 The Geometry of Special Holonomy Metrics, Imperial College, London, UK, July 711, 2014
 The geometry of periodic equiareal sequences, Banach Center, Warsaw, Poland, June 05, 2014
 Existence and NonExistence of Canonical Connections, Banach Center, Warsaw, Poland, June 03, 2014
 Differential Systems and Holonomy, UCLA Mathematics Distinguished Lecture Series, May, 2014
 Rolling surfaces and exceptional geometry, Stony Brook University (29th Geometry Festival), April 11, 2014
 The geometry of rolling surfaces and nonholonomic mechanics, UTKnoxville, Smoky Cascade Geometry Conference, March 21, 2014
 Exterior Differential Systems and Lie Theory, IV: Examples and Applications, Fields Institute, Toronto, CA, December 12, 2013
 Exterior Differential Systems and Lie Theory, II: The basics of CartanKähler Theory, Fields Institute, Toronto, CA, December 11, 2013
 Exterior Differential Systems and Lie Theory, III: The structure theory and existence, Fields Institute, Toronto, CA, December 10, 2013
 Exterior Differential Systems and Lie Theory, I: Introduction, Fields Institute, Toronto, CA, December 9, 2013
 Prescribed curvature in Finsler geometry and PDE, Beijing Institute of Technology, November 20, 2013
 RiemannFinsler geometry and the Method of Equivalence, Beijing International Center for Mathematical Research, November 15, 2013
 The geometry of equiPoisson sequences, University of Melbourne, Melbourne, AU, November 08, 2013
 Recent developments in special holonomy manifolds, University of Adelaide, Dept. of Mathematics, November 01, 2013
 The geometry of rolling surfaces and nonholonomic mechanics, University of Adelaide, Dept. of Mathematics, November 01, 2013
 Finsler manifolds of constant flag curvature, University of Adelaide, Dept. of Mathematics, October 31, 2013
 The origins of Finsler geometry in the calculus of variations, University of Adelaide, Dept. of Mathematics, October 31, 2013
 The geometry of calibrations, Australian National University Mathematics Department, Canberra, AU, October 24, 2013
 Convex Billiards and nonholonomic systems, University of Sydney, Sydney, AU, October 09, 2013
 Recent advances in the geometry of PDE, Australian Mathematical Society Annual Meeting, Sydney, AU, October 03, 2013
 The Affine Bonnet Problem, Australian Mathematical Society Annual Meeting, Sydney, AU, October 1, 2013
 On the geometry of rolling surfaces, Institute Élie Cartan, Nancy, September 17, 2013
 A visit to the Finsler world, Institute des Hautes Études Scientifiques, September 13, 2013
 Introduction to Holonomy, II, CUNY Graduate School, New York, NY, May 29, 2013
 Introduction to Holonomy, I, CUNY Graduate School, New York, NY, May 28, 2013
 Parking Cars, Rolling Balls, and Falling Cats: The Concept of Holonomy, Simons Foundation in New York City, May 22, 2013
 Convex billiards and nonholonomic systems, Humboldt State University, Arcata, CA, November 01, 2012
 Geometry Old and New: From Euclid to String Theory, Humboldt State University, Arcata, CA, November 1, 2012 [title.]
 On the local classification of ambiKähler structures in dimension 4, SUNY Stony Brook, October 27, 2012 [4]
 Geometry Old and New: From Euclid to String Theory, SUMS conference, James Madison University, September 29, 2012 [on]
 On normal forms for Pfaffian systems and their application, Erwin Schrödinger Institute, Vienna, September 12, 2012 [Eastwoo]
 Some geometry of characteristic cohomology, Hausdorf Institute of Mathematics, Bonn, DE, January 23, 2012 ["Geometric]
 Applications of Cartan's generalization of Lie's Third Theorem, Centre de Rescherches Mathématiques, Montreal, CA, June 13, 2011 [various]
 On the affine Bonnet problem, IMPA, Rio de Janeiro, Brazil, May 17, 2011
 On the affine Bonnet problem, RIMS, Kyoto Japan, January 24, 2011 [Theory']
 The Affine Bonnet Problem, Center for Mathematical Sciences, Technion Institute, Israel, December 16, 2010
 Cartan's Generalization of Lie's Third Fundamental Theorem, Center for Mathematical Sciences, Technion Institute, Israel, December 15, 2010
 A visit to the Finsler world, Center for Mathematical Sciences, Technion Institute, Israel, December 13, 2010
 The Affine Bonnet Problem, Texas A&M Department of Mathematics, November 14, 2010
 The Affine Bonnet Problem, Notre Dame University, October 22, 2010
 The Affine Bonnet Problem, Pacific Northwest Geometry Seminar, Eugene, OR, October 17, 2010
 The idea of Holonomy, MAA Carriage House, Washington, DC, October 14, 2010 [theideaofholonomy]
 On the life and work of S.S. Chern, ICM in Hyderabad, India, August 19, 2010 [Ch]
 A visit to the Finsler world, Joint meeting of the AMS and the Mexican Mathematical Society, June 02, 2010
 On the geometry of projective surfaces, Universidade da Brasília, May 25, 2010
 Auf Wiedersehen Surfaces, Revisited, Northwestern University Mathematics, March 10, 2010
 The nearest way: from lines to geometry, Stanford University Department of Mathematics, May 28, 2009
 The infinite groupoids of Lie and Cartan, MIT Department of Mathematics, May 23, 2009
 Involutive Rational Normal Structures, Chern Institute of Mathematics, Tianjin, China, May 12, 2009
 Auf Wiedersehen Surfaces, Revisited, University of Washington, April 03, 2009
 On Cartan's generalization of Lie's Third Theorem, Fudan University, Shanghai, China, December 17, 2008
 Cartan's Generalization of Lie's Third Theorem, Rutgers University at Newark, November 13, 2008 [general]
 Riemannian Submersions as PDE, Beijing International Mathematical Research Center, October 27, 2008
 Involutive Rational Normal Structures, Institute for Advanced Study, October 17, 2008
 Riemannian Submersions as PDE, Harvard Mathematics Department, September 01, 2008
 The idea of holonomy, University of Auckland Department of Mathematics, August 07, 2008
 Involutive rational normal structures, University of Auckland, August 04, 2008
 The geometry of Riemannian submersions and foliations, UC Santa Barbara Mathematics Department, June 06, 2008
 Geometric flows and special holonomy, UC Santa Barbara Mathematics Department, June 5, 2008
 Riemannian Submersions as PDE, MSRI, May 05, 2008
 Riemannian Submersions as PDE, Duke University, April 25, 2008
 The Hessian representation problem, University of Pennsylvania, April 24, 2008
 Geometric flows and special holonomy, University of Pennsylvania, April 23, 2008
 The unreasonable effectiveness of geometric methods, University of Pennsylvania, April 22, 2008
 Riemannian Submersions as PDE, University of California, Irvine, February 02, 2008
 New results in Riemannian submersions from space forms, CIRM, Luminy France, November 28, 2007
 Minimizing cycles in compact simple Lie groups, University of California at Berkeley, October 28, 2007
 A heat flow for unimodular CR hypersurfaces, Columbia University, October 04, 2007
 A flow for real hypersurfaces in unimodular complex surfaces, Universitat Tübingen, Germany, December 18, 2006
 On the geometry of almostcomplex 6manifolds, Oxford University, Oxford, UK, December 04, 2006
 A flow for real hypersurfaces in unimodular complex surfaces, Imperial College, London, UK, December 01, 2006
 Aufwiedersehen Surfaces, Revisited, Technische Universitat  Berlin, November 24, 2006
 Real hypersurfaces in unimodular complex surfaces, Technische Universitat  Berlin, November 23, 2006
 The idea of holonomy and its current development, Zurich Mathematics Colloquium (at ETHZurich), November 14, 2006
 Closed Sp(2)Sp(1) structures on 8manifolds, University of New Mexico, Albuquerque, October 11, 2006 [available here]
 Some nonembedding and nonextension results in special holonomy, Consejo Superior de Investigaciones Científicas, Madrid Spain, September 04, 2006 [html]
 Aufwiedersehen Surfaces, Revisited, Madrid, Spain, August 25, 2006
 Geometry of Almost Complex 6manifolds, International Conference on Differential Geometry, Münster, Germany, August 15, 2006 [php]
 The idea of holonomy, Park City, Utah, July 14, 2006
 Gradient Kahler Ricci solitons, Johns Hopkins University, April 27, 2006
 Aufwiedersehen Surfaces, Revisited, Johns Hopkins University, April 25, 2006
 Aufwiedersehen Surfaces, Revisited, College of Charleston, Charleston, SC, April 13, 2006
 Calibrations in Geometry and Topology, Colorado University at Boulder, CO, March 17, 2006
 Real hypersurfaces in unimodular complex surfaces, Texas A&M Department of Mathematics, February 20, 2006
 Finsler spheres of constant curvature, Texas Geometry and Topology Conference, University of Houston, February 19, 2006 [available here]
 EquiPoisson sequences in the plane, SGS VIII: Georgia Institute of Technology, December 19, 2005 [available here]
 The classification of reversible Finsler metrics on the 2sphere with constant flag curvature, "On Finsler geometry" workshop. CIRM Luminy, France, November 18, 2005 [html]
 Projective equivalence of Finsler metrics of constant curvature, "On Finsler geometry" workshop. CIRM Luminy, France, November 17, 2005 [html]
 The local structure of Finsler metrics of constant flag curvature, "On Finsler geometry" workshop. CIRM Luminy, France, November 16, 2005 [html]
 Resolving a coassociative singularity, `Singularities in geometry and analysis', a conference in honor of F. Reese Harvey and John Polking, Rice University, Houston, TX, November 13, 2005 [htm]
 The geometry of almost complex 6manifolds, Nara University, Nara Japan, October 29, 2005 [pdf]
 The geometry of real hypersurfaces in complex unimodular surfaces, RIMS, Kyoto Japan, October 24, 2005 [pdf]
 A flow for CR hypersurfaces in unimodular surfaces, Mathematiches ForschungsInstitut Oberwolfach, August 08, 2005
 Real hypersurfaces in unimodular complex surfaces, Universidade Federal do Rio de Janeiro, August 04, 2005
 Surfaces with prescribed shape operator, Universidade da Brasília, August 03, 2005
 Second order families of special Lagrangian 3folds, Universidade da Brasília, August 02, 2005
 Real hypersurfaces in unimodular complex surfaces, Universidade da Brasília, August 01, 2005
 A survey of Finsler surface theory, IMPA, Rio de Janeiro, Brazil, July 28, 2005
 Calculations with G_2structures, Gokova, Turkey, June 03, 2005 [html]
 Extension results for calibrations and special holonomy, Gokova, Turkey, May 30, 2005 [html]
 Existence and uniqueness for gradient KahlerRicci solitons, Ecole Polytechnique, Palaiseau, France, May 19, 2005 [html]
 A flow for CR hypersurfaces in unimodular surfaces, Columbia University, May 02, 2005 [html]
 Finsler 2spheres of constant curvature, Southeast Geometry Seminar VII, Emory University, March 16, 2005 [available here]
 MAA Short Course on Geometry and the Calculus of Variations, MAA Southeastern 84th Meeting at Meredith College, March 11, 2005 [htm]
 Aufwiedersehen Surfaces, Revisited, UNC Chapel Hill Department of Mathematics, January 27, 2005
 Calibrations in Geometry and Topology, Institute for Advanced Study, Princeton, NJ, October 22, 2004
 Gradient Kahler Ricci solitons, Second Yamabe Memorial Symposium (UMinn), September 18, 2004 [available here]
 Geodesically reversible Finsler spheres with K=1, Nankai Institute of Mathematics, Tianjin, PRC, August 11, 2004 [0407514]
 Gradient Ricci solitons, Program in Riemannian Geometry, University of Montreal, July 14, 2004 [available here]
 The gometry and topology of G_2 and Spin(7) structures, "Strings at Snowbird" (AMS Summer Workshop at Snowbird, UT), June 611, 2004 [htm]
 Gradient Kahler Ricci solitons, Gokova, Turkey (11'th annual Gokova Geometry/Topology Conf.), May 27, 2004 [html]
 Introduction to G_2 geometry I, II, Gokova, Turkey (11'th annual Gokova Geometry/Topology Conf.), May 24, 2004 [html]
 Aufwiedersehn Surfaces, Revisited, University of Wisconsin at Madison, May 07, 2004
 Singular reduction in special Lagrangian geometry and almost complex geometry, Princeton University, May 05, 2004
 See Ya Later Surfaces, Brooklyn Polytechnic University, April 28, 2004
 Aufwiedersehn Surfaces, Revisited, University of Rochester, April 27, 2004
 Aufwiedersehn Surfaces, Revisited, University of Pennsylvania, April 14, 2004
 Singular PDE arising in special Lagrangian geometry, University of Pennsylvania, April 13, 2004
 Aufwiedersehn Surfaces, Revisited, Lehigh University, April 07, 2004
 The Poincaré Conjecture and Ricci Flow, University of Colorado at Boulder, March 30, 2004
 Some singular PDE arising in special Lagrangian geometry, University of Arkansas in Fayetteville, March 27, 2004 [HTM]
 Calibrations and inverse problems in the calculus of variations, Stanford University Colloquium, 13 November 2003
 Closed G_2 structures, UCIrvine, 4 November 2003
 One hundred years of holonomy, Washington University in St. Louis, 5 October 2003 [available here]
 One Hundred Years of Holonomy, UCBerkeley, 29 September 2003
 Closed G_{2} structures, AMSMSRI von Neumann Symposium, 2 September 2003 [html]
 Four Lectures on Manifolds with Special Holonomy, AMSMSRI von Neumann Symposium, 11 August 2003 [html]
 Path geometry, Finsler metrics and exotic holonomy, BIRS Workshop on Differential Invariants and Invariant Differential Equations, 19 July 2003
 Resolving a coassociative cone, BIRS Workshop: Perspectives in Differential Geometry, 12 July 2003
 Six Lectures on Connections and Holonomy, von Neumann Preparatory Workshop in Banff, 21 June 2003
 Finsler metrics of constant flag curvature, Dartmouth University Seventh Annual Kemeny Lectures, 15 May 2003 [bryant.phtml]
 New Zoll metrics on the 2sphere, Dartmouth University Seventh Annual Kemeny Lectures, 13 May 2003 [bryant.phtml]
 Geometry Old and New: From Euclid to String Theory, Dartmouth University Seventh Annual Kemeny Lectures, 12 May 2003 [bryant.phtml]
 Remarks on associative submanifolds, IPAM conference "Geometry and Physics of G2 manifolds", 29 April 2003 [available here]
 The generality of Finsler metrics of constant flag curvature and some exotic holonomy groups, Massachusetts Institute of Technology, 24 February 2003
 Geometry New and Old: From Euclid to String Theory, Francis Marion University, Florence SC, 21 February 2003
 Does V  E + F = 2?, High Point University, High Point, NC, 12 February 2003
 Modern Differential Geometry, I & II, Howard University, Washington, DC, 21 September 2002
 Rigidity of cycles in Hermitian symmetric spaces, EDGE Conference at the University of Edinburgh, 2 August 2002 [2]
 Three Lectures on Exterior Differential Systems in Geometry, EDGE Summer School and Conference at the University of Edinburgh, 23 July 2002 [available here]
 The generality of Finsler metrics of constant flag curvature and some exotic holonomy groups, MSRI Workshop on Finsler Geometry, 7 June 2002 [show_workshop]
 Moduli and Rigidity of Algebraic Cycles in Hermitian Symmetric Spaces, SUNYStony Brook Conference "Minimal Varieties in Geometry and Physics", 3 June 2002 [html]
 Calibrations and Exterior Differential Systems, Harvard University, 4 May 2002 [html]
 Calibrations and Exterior Differential Systems, UC Santa Barbara Mathematics Department, 25 April 2002
 De/Prescribing the Shape of a Surface, UC Santa Cruz Mathematics Department, 23 April 2002
 Three remarks about special Lagrangian geometry in dimension 3, Indiana University at Bloomington, 14 April 2002 [available here]
 Finsler Geometry and the Calculus of Variations, Indiana University at Bloomington, 12 April 2002 [available here]
 Minimizing cycles in compact simple Lie groups, Indiana University at Bloomington, 11 April 2002
 Complex geometry and Finsler metrics of constant positive flag curvature, Stanford University, 28 November 2001
 Three remarks on special Lagrangian 3cycles, Special Session at AMS Regional meeting at UCIrvine, 910 Nov 01, 11 November 2001 [2075_program_sunday.html#2075:AMSSSF4]
 Doctoral Theses Directed
 Michael Bell, SecondOrder Families of Minimal Lagrangians in CP^3, (2015  September, 2019)
 Gavin Ball, SevenDimensional Geometries With Special Torsion, (2015  May, 2019)
 Ryan Gunderson, Riemannian 3Manifolds with a Flatness Condition, (2015  May, 2019)
 Yuhao Y. Hu, Geometry of Bäcklund Transformations, (2015  May, 2018)
 Zhiyong Zhao, Complex and Lagrangian Engel Structures, (2015  May, 2018)
 Jesse O. Madnick, Cohomogeneity Two NearlyKähler structures, (2012  May, 2018)
 Benjamin McMillan, Geometry and Conservtion Laws for a Class of Second Order Parabolic Equations, (July, 2012  May, 2016)
 Conrad A. Hengesbach, Prescribed Mean Curvature Systems, (2006  December, 2012)
 Abraham D Smith, Integrability of PDE and GL(2,R)structures on manifolds, (2009)
 Feng Xu, The geometry of SU(3) structures on manifolds, (2008)
 Dan Fox, Second order families of coassociative submanifolds, (2005)
 Marianty Ionel, Second order families of special Lagrangian4folds in C^{4}, (2002)
 Chris Moseley (UNC), The geometry of subRiemannian Engel 4manifolds, (2001)
 Sung Ho Wang, Legendrian submanifold path geometry, (2001)
 Ben McKay, Duality and integrable systems of pseudoholomorphic curves, (1999)
 Chris Michael, Uniqueness of calibrated cycles using exterior differential systems, (1996)
 Kevin Foltinek, Quasilinear thirdorder scalar evolution equations and their conservation laws, (1996)
 Jeanne Clelland, Geometry of conservation laws for a class of parabolic PDE, (1996)
 Keener Hughen, The subRiemannian geometry of threemanifolds, (1995)
 Thomas A. Ivey, On solitons for the Ricci flow, (1992)
 Lucas Hsu, Calculus of variations via the Griffiths formalism, (1991)
 Robert C. McLean, Deformations and moduli of calibrated submanifolds, (1990)
 J. M. Landsberg, Minimal submanifolds defined by first order systems of PDE, (1990)
 Tim Murdoch (Rice), Twisted calibrations and the cone on the Veronese surface, (1988)
 Steven Van Wilkinson (Rice), Characterizing Gauss maps, (1984)
 Professional Affiliations
American Mathematical Society Mathematical Association of America Association for Women in Mathematics National Association of Mathematicians National Academy of Sciences American Academy of Arts and Sciences Chamber Arts Society of Durham (Director emeritus)
 Publications (listed separately)
Last modified: 2023/01/28 

dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

