# Recent Posts

Mathematical diversions, expository articles, and more

### A Criterion for Real Roots

When does a polynomial with real coefficients have only real roots? Here's one way to determine it.

### You are 23 times more likely to crash

Driving down the highway in upstate Michigan yesterday, I saw a State Police billboard that states (I paraphrase) Drivers who text are …

### A Tangent Identity

Here's a slightly non-obvious relation between some angles, that I ran into accidentally. Claim: (angles below given in degrees) \[ …

### 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.

# 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