Matthew Creek

Dickson RTG Instructor

Department of Mathematics
University of Chicago

Email: mcreek@math.uchicago.edu
Office: Eckhart 306
Phone: (773) 702-7346

Research

My main research interests are in the broad area of partial differential equations. I have studied several of the quasi- and semi-linear generalizations of the nonlinear sigma model of classical field theory, including the Skyrme, Faddeev, and Adkins-Nappi models. I am also interested more generally in mathematical analysis, especially the tools developed in harmonic analysis for analyzing PDE.

Curriculum Vitae

Publications

Linear Stability of the Skyrmion (with R. Donninger, W. Schlag, and S. Snelson)

Preprints

Large-Data Global Well-Posedness for Certain Quasilinear Wave Equations with Null Structure (working title -- with S. Snelson)
Large-Data Global Well-Posedness for the $\small\left(1 + 2\right)$-Dimensional Equivariant Skyrme Model (work completed in 2016; not yet submitted)
Large-Data Global Well-Posedness for the $\small\left(1 + 2\right)$-Dimensional Equivariant Faddeev Model (draft of my Ph.D. thesis)

Teaching

Winter, 2017 MATH 26200 Point-Set Topology
Winter, 2017 MATH 20250 Abstract Linear Algebra
Fall, 2016 MATH 20250 Abstract Linear Algebra
Spring, 2016 MATH 16300 Honors Calculus-3
Winter, 2016 MATH 16200 Honors Calculus-2 (course web site by Asilata Bapat)
Fall, 2015 MATH 16100 Honors Calculus-1
Spring, 2015 MATH 20500 Analysis in Rn-3
Winter, 2015 MATH 20400 Analysis in Rn-2
Fall, 2014 MATH 20300 Analysis in Rn-1