# Recent Posts

Mathematical diversions, expository articles, and more

### An Implicit Assumption about Expectation Values

A short note about an implicit assumption behind the notion of expectation values, and how it relates to economics applications.

### Matter field from diffeomorphism: on a theme of Capoferri and Vassiliev

I try to reformulate an idea of Capoferri and Vassiliev in the infinitesimal limit and see where it goes.

### 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.

# 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