Neel Patel

Tenure-Track Assistant Professor

University of Maine

Department of Mathematics and Statistics

About Me

Background:

I am currently a tenure-track assistant professor of mathematics at University of Maine.  Before arriving in Maine, I was a postdoctoral researcher at ICMAT (Instituto de Ciencias Matematicas) in Madrid, Spain. Prior to that, I was a Postdoctoral Assistant Professor in the Department of Mathematics at University of Michigan Ann Arbor working with Lydia Bieri and Sijue Wu. In 2017-2018, I was a postdoctoral researcher at Instituto de Matemáticas Universidad de Sevilla (IMUS) in Sevilla, Spain working with Francisco Gancedo. I completed my PhD in mathematics at University of Pennsylvania under Robert M. Strain in 2017. My thesis was entitled "Rigorous Results in Fluid and Kinetic Models" and was awarded The Carlitz-Zippin Prize, given to one finishing PhD student each year. My undergraduate education was in mathematics at University of Chicago.

Research:

My research is in the analysis of partial differential equations. In particular, I have worked on fluid free boundary problems, kinetic theory and currently, I am also working on a project in general relativity.

Teaching:

My primary goal in teaching is to empower students to be self-sufficient learners and to foster interest in mathematics for students of all backgrounds. In Spring 2020, I was nominated for the Golden Apple Award at University of Michigan. Previously, I was awarded the Moez Alimohamed Graduate Student Award for Distinguished Teaching in Mathematics (2014-2015), given to one graduate student annually, and two Good Teaching Awards (Fall 2013 and Spring 2014) during my time as a graduate student at UPenn.

Research

My research is in the analysis of partial differential equations.  Below, are a list of my publications, grants and awards.

Links to papers by clicking on underlined titles.

Papers

Grants/Awards:

Mathematical Activities

Seminar/Conference Talks Given

Conferences

In collaboration with Francisco Gancedo and Eduardo Garcia-Juarez, I was an organizer of the MathFluids "Mathematical Analysis of Incompressible Fluids" conference in Sevilla, Spain during July 12-15, 2018.

In collaboration with Eduardo Garcia-Juarez and Annalaura Stingo, I was an organizer of the minisymposium "Recent Results in Incompressible Fluid Mechanics" at SIAM PDE 2019 in La Quinta, California during December 11-14, 2019.

Outreach

Teaching

My primary goal in teaching is to empower students to be self-sufficient learners and to foster interest in mathematics for students of all backgrounds. In Spring 2020, I was nominated for the Golden Apple Award at University of Michigan. Previously, I was awarded the Moez Alimohamed Graduate Student Award for Distinguished Teaching in Mathematics (2014-2015), given to one graduate student annually, and two Good Teaching Awards (Fall 2013 and Spring 2014) during my time as a graduate student at UPenn.

Courses (UMaine):

Courses (at UMichigan)