### John Loftin

The Department of Mathematics
and Computer Science

The
Colloquium at Rutgers-Newark

Teichmuller
Theory Seminar

Current Courses:

Discrete Structures
Graduate Topics Course: Geometric Structures on Surfaces and
Representations of Surface Groups

Real Analysis Qualifier, 2013

Here is a copy of my CV (pdf)

Course notes for Real Analysis II

Email address: loftin
at rutgers.edu

Office: 306 Smith Hall

Phone: 973 353 3918 (email is
a much better way to reach me)

Research:
My
thesis
Affine Spheres
and
Convex RP^{n}-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 RP^{2} Surfaces, I,
Journal of Differential Geometry, October, 2004.
Singular Semi-Flat Calabi-Yau
Metrics on S^{2}, 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
CH^{2}
and Representations of Surface Groups into SU(2,1), with
I. McIntosh, Geometriae Dedicata, 2013.
Affine Yang-Mills-Higgs
Metrics, with I. Biswas and M. Stemmler,
Journal of Symplectic Geometry, 2013.
Flat Bundles on Affine
Manifolds, with I. Biswas and M. Stemmler,
Arabian Journal of Mathematics, 2013.
Holomorphic Cubic Differentials and
Minimal Lagrangian Surfaces in CH^{2}, with Z. Huang and
M. Lucia, Mathematical Research Letters, 2013.
The Vortex Equations on Affine
Manifolds, with I. Biswas and
M. Stemmler, Transactions of the AMS, 2014.
Approximate Yang-Mills-Higgs Metrics
on Flat Higgs Bundles over an Affine Manifold, with I. Biswas and
M. Stemmler, Communications in Analysis and Geometry, 2014.
Cubic Differentials in the
Differential Geometry of Surfaces, with I. McIntosh,
Handbook of Teichmüller Theory, Vol. 6, 2016.
Convex RP^{2} Structures
and Cubic Differentials Under Neck Separation, preprint.
Equivariant Minimal
Surfaces in CH^{2} and Their Higgs Bundles, with
I. McIntosh, preprint.

Old courses:
Spring 2015:

Real Analysis I
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