## Simon R. Quint

#### Associate Professor of Mathematics

Phone: | 609.652.4280 |

Email: | Simon.Quint@stockton.edu |

Office: | K-120 |

Website/CV: |

**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.