John Loftin


The Department of Mathematics and Computer Science

The Colloquium at Rutgers-Newark

Undergraduate Program Director

Office hours: MW 10:30-11:30am


Real Analysis Qualifier

Here is a copy of my CV (pdf)

Course notes for Real Analysis II


Email address: loftin at rutgers.edu
Office: 201 Smith Hall
Office hours: MW 10:30-11:30
Phone: 973 353 5307 (email is a much better way to reach me)
Research:
  • Research statement
  • My thesis
  • Affine Spheres and Convex RPn-Manifolds, American Journal of Mathematics, April, 2001.
  • Riemannian Metrics on Locally Projectively Flat Manifolds, American Journal of Mathematics, June, 2002.
  • Affine Spheres and Kähler-Einstein Metrics, Mathematical Research Letters, July, 2002.
  • The Compactification of the Moduli Space of Convex RP2 Surfaces, I, Journal of Differential Geometry, October, 2004.
  • Singular Semi-Flat Calabi-Yau Metrics on S2, Communications in Analysis and Geometry, March, 2005.
  • Affine Manifolds, SYZ Geometry and the "Y" Vertex, with S.T. Yau and Eric Zaslow, Journal of Differential Geometry, September, 2005.
            Erratum to Affine Manifolds, SYZ Geometry and the "Y" Vertex, 2008.
  • Flat Metrics, Cubic Differentials and Limits of Projective Holonomies, Geometriae Dedicata, August, 2007.
  • Ancient Solutions of the Affine Normal Flow, with M.P. Tsui, Journal of Differential Geometry, January, 2008.
  • Affine Hermitian-Einstein Metrics, Asian Journal of Mathematics, March, 2009.
  • Limits of Solutions to a Parabolic Monge-Ampère Equation, with M.P. Tsui, in Proceedings of the International Conference on Geometric Analysis, NCTS (Taipei, Taiwan; June, 2007), Higher Education Press and International Press, 2009.
  • Survey on Affine Spheres, in Handbook of Geometric Analysis (Vol. II), Higher Education Press and International Press, 2010.
  • Cheng and Yau's Work on the Monge-Ampère Equation and Affine Geometry, with Xu-Jia Wang and Deane Yang, in Geometry and Analysis (Vol. I), Higher Education Press and International Press, 2010.
  • Hermitian-Einstein Connections on Principal Bundles over Flat Affine Manifolds, with I. Biswas, International Journal of Mathematics, 2012.
  • Minimal Lagrangian Surfaces in CH2 and Representations of Surface Groups into SU(2,1), with I. McIntosh, Geometriae Dedicata, 2013.
  • Holomorphic Cubic Differentials and Minimal Lagrangian Surfaces in CH2, with Z. Huang and M. Lucia, to appear, Mathematical Research Letters.
  • Approximate Yang-Mills-Higgs Metrics on Flat Higgs Bundles over an Affine Manifold, with I. Biswas and M. Stemmler, to appear, Communications in Analysis and Geometry.
  • Cubic Differentials in the Differential Geometry of Surfaces, with I. McIntosh.
    Old courses:

    Fall 2013:

  • Discrete Structures

    Fall 2012:

  • Real Analysis I

    Fall 2011:

  • Computer Organization
  • Numerical Analysis

    Spring 2011:

  • Calculus I
  • Real Analysis II

    Fall 2010:

  • Real Analysis I

    Spring 2010:

  • Data Structures and Algorithm Design (CS 335)
  • Elementary Differential Equations, Section 02 (Math 314)

    Fall 2009:

  • Computer Science 102 (Computers and Programming II)
  • Differentiable Manifolds

    Spring 2009:

  • Computer Science 101 (Computers and Programming I), Section 03
  • Discrete Structures

    Fall 2008:

  • Calculus I

    Fall 2007:

  • Discrete Structures
  • Advanced Data Structures

    Spring 2007:

  • Real Analysis II
  • Principles of Operating Systems

    Fall 2006:

  • Data Structures and Algorithm Design
  • Discrete Structures

    Spring 2006:

  • Computers and Programming II (access via Blackboard)
  • Discrete Structures

    Fall 2005:

  • Precalculus
  • Discrete Structures

    Spring 2005:

  • Real Analysis II

    Spring 2004:

  • Computer Science 101 (Computers and Programming): Sections 02, 03

    Fall 2003:

  • Differential Manifolds