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Mathematical diversions, expository articles, and more

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

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

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

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

Professional Experience


Assistant Professor

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.

Post-doc collaborateur scientifique

École Polytechnique Fédérale de Lausanne

2011 – 2015 Lausanne, Suisse

Postdoctoral research associate

DPMMS, University of Cambridge

2009 – 2011 Cambridge, UK

PhD student

Princeton University

2005 – 2009 Princeton, NJ, USA
Dissertation Advisor: Sergiu Klainerman
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
Funding amount: $42,000

MathWorks Academic Support Grant (PI)

Project title: Enhancement of calculus instruction through LiveScript Laboratories: design, deployment, and assessment
Funding amount: $40,583

Group Members

Grad Students (current)


Leonardo Abbrescia

PhD Student 2015--present


Shih-Fang Yeh

PhD Student 2018--present