Page 1 of 6 John C. Loftin Title and Address: Professor Department of Mathematical & Computer Science Faculty of Arts & Sciences - Newark 101 Warren Street Newark, NJ 07102 Contact Information: Tel: 973-353-3918 loftin@rutgers.edu http://andromeda.rutgers.edu/~loftin/ Education Highest Earned Degree Dissertation Other Earned Degrees Employment History Harvard University, Cambridge, MA. Ph.D. in Mathematics June, 1999. Dissertation under the supervision of Prof. S.T. Yau: Applications of Affine Differential Geometry to Manifolds with Convex RP 2 Structure, April, 1999. Harvard University, Cambridge, MA. A.M. in Mathematics, March, 1993. Stanford University, Stanford, CA. B.S. with distinction in Mathematics, June, 1991. A.B. in English, June, 1991. Positions Held 2016-ongoing Professor Department of Mathematics and Computer Science, Rutgers University-Newark. 2009-2016 Associate Professor Department of Mathematics and Computer Science, Rutgers University-Newark. 2003-2009 Assistant Professor Department of Mathematics and Computer Science, Rutgers University-Newark. 1999-2003 Ritt Assistant Professor Columbia University. Conference Presentations, Lectures, Demonstrations Invited Addresses Speaker, Equivariant Minimal Surfaces in the Complex Hyperbolic Plane and Their Higgs Bundles, Workshop on new perspectives on Higgs bundles, branes and quantization, Simons Center for Geometry and Physics, Stony Brook, NY, June, 2016. Speaker, Minimal Surfaces in CH 2 and Their Higgs Bundles, Program on Higgs Bundles, International Centre for Theoretical Sciences, Bangalore, India, March, 2016.
Page 2 of 6 Mini-course (3 hours) Cubic Differentials and Convex RP 2 Structures under Neck Separation, Workshop on Surface Group Representations, California Institute of Technology, Pasadena, California, March, 2016. Topics Talk, Convex RP2 Structures and Cubic Differentials, Workshop on Quadratic Differentials, African Institute for Mathematical Sciences, Cape Town, South Africa, January, 2016. Evolution Equations Seminar, Moduli of Equivariant Minimal Surfaces in CH 2, Center of Mathematical Sciences & Applications, Harvard University, Cambridge, Massachusetts, December, 2015. Geometry & Topology Seminar, Families of Projective Domains and Neck-Separating Degenerations of Convex RP 2 Surfaces, Brown University, Providence, Rhode Island, December, 2015. Informal Geometric Analysis Seminar, Affine Spheres and the Real Monge-Ampère Equation, University of Maryland, College Park, November, 2015. Colloquium, An Extension of Teichmüller Theory, Howard University, Washington, DC, October, 2015. Geometry-Analysis Seminar, Minimal Surfaces in CH 2 and Their Higgs Bundles, Rice University, Houston, Texas, October, 2015. Geometry-Topology Seminar, Families of Projective Domains and Neck-Separating Degenerations of Convex RP 2 Surfaces, University of Maryland, College Park, Maryland, September, 2015. Topology, Arithmetic, and Dynamics Seminar, How To Pinch a Neck on a Convex RP 2 Surface, George Mason University, Fairfax, Virginia, September, 2015. Weekly Seminar, Cubic Differentials and Limits of Convex RP 2 Structures under Neck Pinches, Laboratory of Algebraic Geometry and Its Applications, Faculty of Higher Mathematics, Higher School of Economics, Moscow, Russia, June, 2015. Geometry and Analysis of Surface Group Representations Seminar, part of Program on Dynamics on Moduli Spaces of Geometric Structures, Mathematical Sciences Research Institute, Berkeley, Cubic Differentials and Limits of Convex RP 2 Structures under Neck Pinches, March, 2015. Complex Analysis and Dynamics Seminar, CUNY Graduate Center, Cubic Differentials and Limits of Convex RP 2 Structures under Neck Pinches, February, 2015. Conference Speaker, Cubic Differentials, Differential Geometry of Surfaces, and Representations of Surface Groups into Real Forms of SL(3,C), Group Action Forum, Tsinghua Sanya International Mathematics Forum, Sanya, China, December, 2014. Conference Speaker, Cubic Differentials and Limits of Convex RP 2 Structures under Neck Pinches, Workshop on Geometry of Moduli Spaces and Low Dimensional Manifolds, Research Institute for Mathematical Sciences, Kyoto University, December, 2014. Geometry and Topology Seminar, California Institute of Technology, Cubic Differentials and Limits of Convex RP 2 Structures under Neck Pinches, November, 2014. Geometry-Analysis Seminar, Rice University, Cubic Differentials and Limits of Convex RP 2 Structures under Neck Pinches, October, 2014. Speaker, Cubic Differentials and Limits of Convex RP 2 Structures under Neck Pinches, Concentration Period on Geometric Aspects of Higgs Bundles, in the program The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, Institute for Mathematical Sciences, National University of Singapore, August, 2014. Conference speaker, Some Projective Invariants of Convex Domains Coming from Differential Geometry, Conference on Geometry and Dynamics of Finsler Metrics, CIRM, Marseille, France, June, 2014. Colloquium, An Extension of Teichmüller Space, Lehigh University, March, 2014.
Page 3 of 6 Lecture at Second GEAR Retreat, Cubic Differentials in the Differential Geometry of Surfaces, University of Maryland, March, 2014. Special Seminar, Cubic Differentials and Limits of RP 2 Structures, Harvard University, March, 2013. Geometry and Topology Seminar, Minimal Lagrangian Surfaces in CH 2, University of Waterloo, Waterloo, Canada, March, 2013. Conference Speaker, Minimal Lagrangian Surfaces in CH 2, Conference on Advances in Teichmüller Theory, Erwin Schrodinger Institute, Vienna, Austria, February, 2013. Complex Analysis and Geometry Seminar, Minimal Lagrangian Surfaces in CH 2, Rutgers, New Brunswick, November, 2012. Workshop Speaker, 4 50-minute talks on SYZ Conjecture and Affine Differential Geometry, Workshop on Integrable Systems and Geometric PDEs, Taida Institute for Mathematical Sciences, Taipei, Taiwan, October, 2012. Conference Speaker, Flat Bundles over Affine Manifolds, ICTS Meeting on Complex Analytic Geometry, Tata Institute, Bombay, India, March, 2012. Geometry Seminar, Minimal Lagrangian Surfaces in CH 2, Durham University, UK, February, 2012. Seminaire Analyse Complexe et Geometrie, Minimal Lagrangian Surfaces in CH 2, Institut de Mathematiques de Jussieu, Paris, France, February, 2012. Research Seminar Talk, Cubic Differentials and Limits of RP 2 Structures, Program on Geometry and Analysis of Surface Group Representations, Institut Henri Poincare, Paris, France, January, 2012. Special Session Lecture, Cubic Differentials and Limits of RP 2 Structures, AMS Special Session on the Geometry of Real Projective Structures, Joint Mathematics Meeting, Boston, January, 2012. Workshop Lecture, Minimal Lagrangian Surfaces in CH 2 and Representations into SU(2,1), Ahlfors-Bers Colloquium, Rice University, March, 2011. Complex Analysis Seminar, Minimal Lagrangian Surfaces in CH 2, CUNY Graduate Center, February, 2011. Special Seminar, Minimal Lagrangian Surfaces in CH 2, Harvard University, December, 2010. Geometry Seminar, Noncompact Affine Normal Flow, Ohio State University, November, 2010. Minicourse Speaker, Surfaces, SL(3), and an equation of Tzitzeica, Advanced School and Workshop on Discrete Groups in Complex Geometry, ICTP (Trieste, Italy), July, 2010. Conference Speaker, Towards a Compactification of the Moduli Space of Convex RP 2 Structures, Mini- Conference on Geometric Structures in 2 and 3 Dimensions, Autrans, France, January, 2010. Geometry/Topology Seminar, Surfaces, SL(3), and an equation of Tzitzeica, University of Maryland, November, 2009. Department Colloquium, Surfaces, SL(3), and an equation of Tzitzeica, University of Waterloo (Canada), October, 2009. Geometry Seminar, Surface Group Representations and Generalizations of Teichmuller Space, University of Waterloo (Canada), October, 2009. Workshop Lecture, Surfaces, SL(3), and an equation of Tzitzeica, Workshop on Global Differential Geometry, MFO (Oberwolfach, Germany), July, 2009. Conference Speaker, SL(3) Geometry, Special Lagrangians, and an Equation of Tzitzeica, International
Page 4 of 6 Conference on Several Complex Variables, Complex Geometry, and Partial Differential Equations, Wuhan University (Wuhan, China), July, 2009. Department Colloquium, Surfaces, SL(3), and an equation of Tzitzeica, University of Toledo (Toledo, Ohio), January, 2009. Special Session Lecture, Affine Hermitian-Einstein Metrics, Special Session on Complex Geometry and Partial Differential Equations, AMS Fall Eastern Section Meeting (Middletown, CT), October, 2008. Mathematical Physics Seminar, Two Dimensional Affine Spheres, University of York (UK), June, 2008. Conference Speaker, Two Dimensional Affine Spheres, Geometry, Integrability and Twistor Theory Conference, Cambridge University, June, 2008. Workshop Lecture, Real Projective Surfaces and Holomorphic Cubic Differentials, Ahlfors-Bers Colloquium, Rutgers Newark, May, 2008. Department Colloquium, Affine Hermitian-Einstein Metrics, Lehigh University, March, 2008. Differential Geometry Seminar, Affine Hermitian-Einstein Metrics, Harvard University, March, 2008. Workshop Lecture, Affine Hermitian-Einstein Metrics, Workshop on Special Structures in Riemannian Geometry, BIRS (Banff, Canada), February, 2008. Geometry Seminar, Affine Differential Geometry and the SYZ Conjecture, National Taiwan University, June, 2007. Conference Speaker, Affine Normal Flow of Noncompact Hypersurfaces, International Conference on Geometric Analysis, NCTS (Taipei, Taiwan), June, 2007. Department Colloquium, The Affine Normal Flow, Yeshiva University, New York, March, 2007. Geometry/Topology Seminar, Real Projective Surfaces and Holomorphic Cubic Differentials, Rutgers University (New Brunswick), February, 2007. Special Session Lecture, Ancient Solutions of the Affine Normal Flow, Joint Special Session on Nonlinear Analysis and Nonlinear Geometric PDEs, AMS Fall Eastern Section Meeting (Storrs, CT), October, 2006. Summer Geometry and Topology Seminar, Affine Geometry and Singular RP 2 Surfaces, University of Maryland, July, 2006. Nonlinear Analysis Seminar, Ancient Solutions of the Affine Normal Flow, Rutgers University (New Brunswick), April, 2006. Department Colloquium, Projective Invariants of Convex Domains, University of Toledo (Toledo, Ohio), November, 2005. Workshop Lecture, Singular Semi-Flat Calabi-Yau Metrics on S n, Workshop on Global Differential Geometry, MFO (Oberwolfach, Germany), August, 2005. Speaker, Singular Semi-Flat Calabi-Yau Metrics on S n, International Conference on Complex Analysis, Differential Geometry, and Partial Differential Equations, in honor of Masatake Kuranishi's 80th birthday, Columbia University, May, 2005. Speaker, Singular Semi-Flat Calabi-Yau Metrics on S n, Workshop on Geometry and Topology, University of Minnesota, March, 2005. Nonlinear Analysis Seminar, Singular Semi-Flat Calabi-Yau Metrics on S n, Rutgers University (New Brunswick), February, 2005. Geometry Seminar, Singular Semi-Flat Calabi-Yau Metrics on S n, McMaster University (Hamilton, Ontario), January, 2005.
Page 5 of 6 Geometry and Analysis Seminar, Singular Semi-Flat Calabi-Yau Metrics on S n, Columbia University, September, 2004. Speaker, Singular Semi-Flat Calabi-Yau Metrics on S 2, Mirror Symmetry Conference, NCTS (Hsinchu, Taiwan), July, 2004. Differential Geometry and Analysis Seminar, Singular Semi-Flat Calabi-Yau Metrics on S 2, CUNY Graduate Center, March, 2004. Nonlinear Analysis Seminar, Singular Semi-Flat Calabi-Yau Metrics on S 2, Rutgers (New Brunswick), February, 2004. Geometric Analysis Seminar, Singular Semi-Flat Calabi-Yau Metrics on S 2, University of Wisconsin, February, 2004. Speaker, Singular Semi-Flat Calabi-Yau Metrics on S 2, Workshop on Geometric Analysis, MSRI (Berkeley, California), December, 2003. Geometry Seminar, Singular Semi-Flat Calabi-Yau Metrics on S 2, Northwestern University (Evanston, Illinois), November, 2003. Speaker, Singular Semi-Flat Calabi-Yau Metrics on S 2, Short Programme on Analysis and Resolution of Singularities, CRM (Montreal), August, 2003. Nonlinear Analysis Seminar, Monge-Ampère Equations and Projective Quotients of Convex Domains, Rutgers (New Brunswick), April, 2003. Geometry and Analysis Seminar, Families of Degenerating Real Projective Surfaces, Columbia University, October, 2002. Special Session Lecture, Toward a Compactification of the Moduli Space of Convex RP 2 Surfaces, AMS Sectional Meeting, Special Session on Flat Structures, Moduli Spaces, and Minimal Surfaces: Portland, Oregon, June, 2002. Department Colloquium, Differential Geometric Invariants of Convex Cones, Polytechnic University (Brooklyn, New York), February, 2002. Geometry and Analysis Seminar, Toward a Compactification of the Moduli Space of Convex RP 2 Surfaces, Columbia University, October, 2001. Special Session Lecture, Affine Spheres and Kähler-Einstein Metrics, AMS Sectional Meeting, Special Session on Ricci Curvature and Related Topics: Hoboken, New Jersey, April, 2001. Geometry Seminar, Affine Spheres and Kahler-Einstein Metrics, UC Irvine, April, 2001. Differential Geometry Seminar, Riemannian Metrics on Projectively Flat Manifolds, CUNY Graduate Center, February, 2001. Six-hour Lecture Series, Affine Differential Geometry and RP n -Manifolds, Seoul National University, March, 2000. Geometry and Analysis Seminar, Riemannian Metrics on Locally Projectively Flat Manifolds, Columbia University, February, 2000. Valley Geometry Seminar, Affine Spheres and Convex RP n -Manifolds, Amherst, Massachusetts, November, 1999. Geometry and Topology Seminar, Applications of Affine Differential Geometry to RP 2 Surfaces, University of Maryland, March, 1999.
Page 6 of 6 Geometry and Analysis Seminar, Applications of Affine Differential Geometry to RP 2 Surfaces, Columbia University, March, 1999. Funding Externally-Funded Research and/or Training Grants 06/2013-ongoing (Grant Amount: $5,000,000) Rutgers-Newark PI, Northern NJ Information and Professional Scientific and Technical Services ("STEM") Career Development Grant, a training grant from the US Department of Labor to retrain STEM workers by providing tuition for taking relevant classes. This grant is administered through NJIT, but includes Rutgers Newark. As the local PI, I have advised students on courses to take in our department and the department of Management Science and Information Systems in the Rutgers Business Schools, and I have worked with Carmen Pardo to help sign them up for our courses. The only funds paid to Rutgers out the grant are tuition. PI's: Judith Sheft and Gale Spak (NJIT). 2011-ongoing (Grant Amount: $5,000,000) Founding member, GEAR Network, GEometric structures And Representation varieties. The GEAR Network brings together researchers from 46 nodes in the U.S., Canada, Europe, and Asia. Its goal is to promote research interactions between network members, to facilitate crosspollination of ideas between different research communities, and to train students and researchers to cross traditional mathematical boundaries. PI: Steven Bradlow (UIUC). Each university is considered a node of the GEAR network if it houses a GEAR faculty member. (Loftin is one of two GEAR faculty members at Rutgers Newark.) Faculty members, as well as graduate students and postdocs, of nodes can apply to GEAR for funding to visit other nodes of the network and to attend conferences and programs sponsored through the network. The GEAR Network is administered through three hubs, at Illinois, Maryland, and Stanford. Below are a few selected long-term research programs Loftin has attended based on GEAR sponsorship. Internally-Funded Research and/or Training Grants University of Maryland, September 1 November 30, 2015, to visit Prof. Goldman during a sabbatical, travel and housing support through the GEAR Network. IMS (Singapore), The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, July 31 August 13, 2014, travel support through the GEAR Network. IHP (Paris), Program on Geometry and Analysis of Surface Group Representations, January 11 - March 25, 2012, full support through the GEAR Network. 07/2011-ongoing (Grant Amount: $35,000) Principal investigator, Simons Foundation Collaboration Grant for Mathematicians, Canonical Structures in Geometry and Topology. 2004-2007 (Grant Amount: $107,973) NSF Grant DMS0405873 Monge-Ampère Equations and Geometric Structures on Manifolds. 2008-2009 (Grant Amount: $880) Rutgers University Research Council Noncompact Affine Normal Flow.