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Mathematical diversions, expository articles, and more

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.

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

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

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)

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Leonardo Abbrescia

PhD Student 2015--present

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Shih-Fang Yeh

PhD Student 2018--present

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