Simon R. Quint

Associate Professor of Mathematics

Phone: 609.652.4280
Email: Simon.Quint@stockton.edu
Office: K-120
Website/CV:  

Image of Dr. Simon R. Quint

BIOGRAPHY

After Tufts, I spent four and a half years aboard ships as an officer in the U.S. Navy. Then after quickly filling in a gap of several mathematics courses that I missed as an undergraduate non-mathmematics major, I began a Ph.D. program at Berkeley and finished with a thesis on unitary representations of solvable Lie groups. That is when I started to see connections among the various areas of mathematics department instituted a Pre-Colloquium (before the weekly Colloquium) – highlighting innerconnections for graduate students. At Occidental College, my next position, at my suggestion the mathematics department instituted a capstone course Innerconnections in Mathematics that I taught. While there I started working on a manuscript for a book, which evolved to Viewing Mathematics via Innerconnections. Between Occidental and Stockton, I spent a year at Grinnell College. At Stockton, I have served as a supervisor for several mathematics majors in their senior projects, many of which were extensions of their Fellowship for Distinguished Students projects. All of these projects involved innerconnections among areas in and from undergraduate mathematics, with my manuscript servicing as the major references for each project. In spring 2014, I received a sabbatical for continued work on the manuscript for the innerconnections book.

EDUCATION

Ph.D., University of California at Berkeley
B.S., Tufts University

AREAS OF EXPERTISE

Innerconnections in mathematics; representations of Lie groups

COURSES TAUGHT

Innerconnections in Mathematics
Topics in Mathematics
Topics in Geometry
Senior Thesis/Project
Abstract Algebra
Complex Analysis
Real Analysis
Foundations of Mathematics
Linear Algebra
Discrete Mathematics
Calculus I, II and III
Precalculus


RESEARCH INTERESTS

Since receiving my Ph.D. degree, my main research interest has been mathematical innerconnections: primarily of Lie groups and Lie algebras with other areas of mathematics and of the connections involved in two highlights of contemporary mathematics – the 1995 proof of Fermat's Last Theorem (:= a conjecture) in basic number theory via proof of a conjecture in algebraic geometry of elliptic curves and in the 2005 proof of the Poincaré Conjecture in topology of manifolds via proof of a conjecture in differential geometry. Lie theory, and the Fermat and Poincaré problems, are among topics that focus on innerconnections in my manuscript for the book Viewing Mathematics via Innerconnections. Innerconnectedness among its areas is one of the wondrous, powerful, and lovely aspects of mathematics. But this characteristic aspect of mathematics generally is unknown to undergraduate mathematics students. One of my goals is that there will be a final area Mathematical Innerconnections on the Mathematics Subject Classification – which lists the sixty-three major areas of mathematics – to expose new and significant innerconnections [The phrases 'mathematical innerconnections' replacing the imprecise 'interrelations' and 'interrelated' have precise technical definitions which show that the connectedness of mathematics (something that is not apparent at a first glance of the list of the many subareas of mathematics) results from the way it evolves. Two areas of mathematics are 'innerconnected' if one of the areas contributes to the evolution of the other in any of the specific number of ways; the mediator of the contribution is an 'innerconnection'.]

PUBLICATIONS

Viewing Mathematics via Innerconnections – A Graduated Text, manuscript for a textbook in progress. 2003: "Mathematics Subject Classification as a Dynamic Digraph, for Mathematics Education", Abstracts of Papers Presented to Amer. Math. Soc., Vol. 24, No. 1,
p. 267, 2003.

2002: "Mathematics via Interrelations, for Undergraduate Courses", abstract in FOCUS, newsletter of Math. Assoc. of Amer., Vol. 21,
No. 6, p.10, 2001.

2000 "Interrelations for Undergraduate Mathematics Courses: Capstone and Others", abstract in FOCUS, newsletter of the Mat. Assoc.
of Amer., Vol. 20, No. 1, p.7, 2000.