Robert
Neel

Curriculum Vitae

Home Research Teaching CV Misc

My CV is also available as a pdf. For links to some of the papers, please go to my research page.

Employment
  • Lehigh University, Assistant Professor, 2009-present.
  • Columbia University, NSF Postdoctoral Research Fellow, 2006-2009.
  • Columbia University, Ritt Assistant Professor, 2005-2006.
Education
  • Harvard University, Ph.D. Mathematics, June 2005.
    Thesis: The behavior of the heat kernel at the cut locus.
    Adviser: Daniel Stroock.
  • Stanford University, B.S. Mathematics with honors and distinction (minor in Philosophy), June 1999.
    Undergraduate Thesis Adviser: Robert Finn.
Publications
  • Small time heat kernel asymptotics at the sub-Riemannian cut locus (with D. Barilari and U. Boscain), arXiv:1201.3023v1.
  • Stochastic methods for minimal surfaces, accepted to the proceedings volume for the Santaló Summer School to be published in the AMS Contemporary Mathematics series.
  • On parabolicity and area growth of minimal surfaces, to appear in the Journal of Geometric Analysis.
  • Brownian motion and the Dirichlet problem at infinity on two-dimensional Cartan-Hadamard manifolds, arXiv:0912.0330v1.
  • Brownian motion and the parabolicity of minimal graphs, arXiv:0810.0669v1.
  • A martingale approach to minimal surfaces, J. Funct. Anal. 256 (2009), no. 8, 2440-2472.
  • The small-time asymptotics of the heat kernel at the cut locus, Comm. Anal. Geom. 15 (2007), no. 4, 845-890.
  • Analysis of the cut locus via the heat kernel (with D. Stroock), Surveys in Differential Geometry, Vol. 9, International Press, Boston (2004), 337-349.
  • Equilibrium configurations for a floating drop (with A. Elcrat and D. Siegel), J. Math. Fluid Mech. 6 (2004), no. 4, 405-429.
  • C-singular solutions of the capillary problem (with R. Finn), J. Reine Angew. Math. 512 (1999), 1-25.
Awards
  • NSF Postdoctoral Research Fellowship, 2006-2009.
  • Clay Mathematics Institute Liftoff Fellowship, 2005.
  • Certificate of Distinction in Teaching, Harvard University, Fall 2002, Fall 2003, and Spring 2005.
  • NSF Graduate Research Fellowship, 2000-2003.
  • Fulbright Grant to study at the University of Leipzig, 1999-2000.
Talks
  • Probability/Geometry Seminar, UT-Austin, Fall 2011.
  • Geometric Analysis Seminar, MIT, Spring 2011.
  • Math Department Seminar, University of Padua (Italy), Spring 2011.
  • Geometric Analysis Seminar, SISSA (Trieste, Italy), Spring 2011.
  • CMAP Seminar, École Polytechnique, Spring 2011.
  • Probability Seminar, UT-Austin, Fall 2010.
  • Probability Seminar, Cornell University, Fall 2010.
  • Math Department Colloquium, Purdue University, Fall 2010.
  • Santaló Summer School on Geometric Analysis, University of Granada, Summer 2010.
  • Minimal Surfaces Arbeitsgemeinschaft, Oberwolfach, Fall 2009.
  • Geometric Analysis Seminar, MIT, Spring 2009.
  • Math Department Colloquium, Lehigh University, Spring 2009.
  • Analysis and PDE Seminar, Johns Hopkins University, Fall 2008.
  • Geometry and Topology Seminar, University of Massachusetts at Amherst, Fall 2008.
  • Stochastics Seminar, Georgia Tech, Spring 2008.
  • Probability Seminar, NYU/Courant, Fall 2006.
  • Analysis and Geometry Seminar, Columbia University, Fall 2006.
  • Summer School: Probabilistic and Analytic Perspectives on Contemporary PDEs, Carnegie Mellon University, Summer 2006.
  • CUNY Differential Geometry Seminar, Spring 2006.
  • Columbia-Princeton Probability Day, Spring 2006.
  • Probability Seminar, Columbia University, Fall 2005.
  • Probability Seminar, Northwestern University, Spring 2005.
  • Stochastic Analysis Seminar, University of Illinois, Fall 2004.
  • Analysis Seminar, MIT, Fall 2004.
Teaching
Lehigh University
  • Math 23: Calculus III, Spring 2012.
  • Math 231: Probability and Statistics, Spring 2012.
  • Math 205: Linear Methods, Fall 2011.
  • Math 231: Probability and Statistics, Spring 2011.
  • Math 301: Principles of Analysis I, Fall 2010.
  • Math 205: Linear Methods, Fall 2010.
  • Math 23: Calculus III, Spring 2010.
  • Math 463: Advanced Probability, Spring 2010.
  • Math 23: Calculus III, Fall 2009.
Columbia University
  • Math W4155: Probability Theory, Spring 2009.
  • Math V1202: Calculus IV, Fall 2008.
  • Math W4155: Probability Theory, Spring 2008.
  • Math V1202: Calculus IV, Fall 2007.
  • Math V1201: Calculus III, Spring 2006.
  • Math V2010: Linear Algebra, Fall 2005.
  • Math V1101: Calculus I, Fall 2005.
Harvard University
  • Quantitative Reasoning 28: The Magic of Numbers, Head Teaching Fellow, Spring 2005.
  • Quantitative Reasoning 28: The Magic of Numbers, Fall 2003.
  • Quantitative Reasoning 28: The Magic of Numbers, Fall 2002.
  • Math Xa: Calculus and Functions, Fall 2001.
  • Math 23a: Multivariable Calculus, Fall 2000.
Service
  • Organizer of math department's colloquium, Lehigh University, 2010-present.
  • Half-time member of math department's strategic planning committee, Lehigh University, 2011-present.
  • Member of the hiring committee for the math department's stochastic analysis position, 2010-2011.
  • Member of the local organizing committee for the International Symposium on Geometry and Topology at Lehigh University, 2010.
  • Have refereed for Mathematische Zeitschrift, the Journal of Geometric Analysis, Geometria Dedicata, and the Journal of Functional Analysis.
  • Member of the organizing committee for the 31st Midwest Probability Colloquium, 2008-2009.
  • Co-organizer of probability seminar, Columbia University, 2008-2009.
  • Calculus IV coordinator, Columbia University, Fall 2007.
  • Co-organizer of weekly departmental social hour, Harvard University, 2004-2005.
  • Co-organizer of graduate student seminar, Harvard University, 2001-2002.