Simon R. Quint
Associate Professor of Mathematics
BIOGRAPHYAfter 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.
Ph.D., University of California at Berkeley
B.S., Tufts University
AREAS OF EXPERTISE
Innerconnections in mathematics; representations of Lie groups
Innerconnections in Mathematics
Topics in Mathematics
Topics in Geometry
Foundations of Mathematics
Calculus I, II and III
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'.]
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.