# Recent Posts

Mathematical diversions, expository articles, and more

### A Weighted/Interpolated Young's Inequality

A follow up to my previous post on Young's inequality.

### Lie Groups

Some introductory notes about the definition and geometry of Lie groups, and their analysis.

### Oscillatory Solutions to the Heat Equation

As we all learned in a first course in PDEs, for "reasonable" initial data $u_0$, the solution to the linear heat equation …

### Dynamics of a Rigid Body

This post is about the formulation of the dynamics of a rigid body, under rotations, as dynamics on a Lie group. I'm writing this to …

# Professional Experience

#### Michigan State University

2015 – Present East Lansing, MI, USA
Assistant Professor in the Mathematics Department, responsibilities include mathematical research, teaching (both undergraduate and graduate), supervision and mentoring of graduate and undergraduate students.

#### École Polytechnique Fédérale de Lausanne

2011 – 2015 Lausanne, Suisse

#### DPMMS, University of Cambridge

2009 – 2011 Cambridge, UK

#### Princeton University

2005 – 2009 Princeton, NJ, USA
Dissertation: On the uniqueness of Kerr-Newman black holes
Supported through an NSF Graduate Research Fellowship

# Grants, Awards, &c

#### Simons Collaboration Grant (PI)

Project title: Geometric analysis of the long time behavior of evolution equations