(Note  Feb 10, 2013. I just discovered that the index.html disappeared for some mysterious reason  so, this (backed up from a year ago ) page will be a bit old until I find or recreate the new one )
Micah Warren
Assistant Professor of Mathematics
Placement Officer
mww@math.princeton.edu
Department of Mathematics
Fine Hall, Washington Road
Princeton NJ 085441000 USA
Phone: (609) 2586467
(PhD, University of Washington, 2008, Advisor: Yu Yuan)
Research
I study geometric analysis. My thesis dealt with estimates for the Special Lagrangian equation. Since then I have studied some problems in optimal transportation. In general, I am interested in nonlinear elliptic PDE's, including 4th order problems.
Note: If you are looking for information regarding my undergraduate teaching, and you are a Princeton Student, please check Blackboard.
If you are looking to meet with me as placement officer, feel free to call me 6092586467. Also see Jennifer Johnson's page which might contain the information you are looking for.
My office hours for Complex Analysis are Monday, Thursday 10  11 am in 808 Fine Hall.
Papers
 Regularity of optimal transport with Euclidean distance squared cost on the embdedded sphere, Jun Kitagawa and Micah Warren. Submitted.

Parabolic otimal transport equations on manifolds YoungHeon Kim, Jeffrey Streets and Micah Warren. (Submitted) Arxiv:1008.3824.
 Rectifiability of Optimal Transportation Plans
Robert McCann, Brendan Pass, and Micah Warren. (Submitted) Arxiv:1003.4556.
 Regularity for a logconcave to logconcave mass transfer problem with near Euclidean cost Micah Warren. To Appear: Comm. Anal. Geom. Volume 19, Number 1, 191–208, 2011.
 A McLean Theorem for the moduli space of Lie solutions to mass transport equations To appear in Differential Geom. Appl. Arxiv:1006.1334.
 A boundary value problem
for minimal Lagrangian graphs.
Simon Brendle and Micah Warren.
J. Differential Geom. 84 (2010) 267287.
 Conformally bending threemanifolds with boundary. Matthew Gursky, Jeffrey Streets, and Micah Warren. (to appear ) Annales de l'institut Fourier ( International Conference Spectral Theory and Geometry.)

PseudoRiemannian Geometry Calibrates optimal transportation
YoungHeon Kim, Robert McCann and Micah Warren.
(To appear)
Math. Res. Lett
 Existence of Complete conformal metrics of negative Ricci curvature on manifolds with boundary
Matthew Gursky, Jeffrey Streets and Micah Warren.
(To appear )
Calc. Var. Partial Differential Equations

Hessian and gradient estimates for three dimensional special
Lagrangian equations with large phase.
Micah Warren and Yu Yuan
American J. Math {132}, (3) (2010)

Hessian estimates for convex solutions to special Lagrangian
equations.
Jingyi Chen, Micah Warren, and Yu Yuan.
Comm. Pure. Appl. Math.} {62} (4), (2009) 583595.

Hessian estimates for the sigma2 equation in dimension three.
Micah Warren and Yu Yuan
Comm. Pure. Appl. Math. {62} (3) (2009) 305321.

Explicit gradient estimates for minimal Lagrangian surfaces of
dimension two.
Micah Warren and Yu Yuan
Math Z. { 262} (4), (2008) pp. 867879.

A Liouville type theorem for special Lagrangian equations with
constraints.
Micah Warren and Yu Yuan
Comm. Partial Differential Equations. 33(46) (2008) 922932.

Hessian estimates
for the sigma2 equation in dimension three (joint work with Yu Yuan).
Micah Warren
Oberwolfach Reports. No. 35 (2007) 20492051.

Calibrations Associated to MongeAmp\`ere Equations.
Micah Warren
Trans. AMS. 362}(8), (2010), 39473962.
Graduate Teaching
Optimal Transport (w/ Alice Chang)
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