Charles Barton, Ph.D. Associate Professor of Mathematics

In the mid-70s my interests turned from pure mathematics to the field of computing. I joined one of the early minicomputer manufacturers, Data General.  In the course of my career, mostly in software, I worked at several startups, gaining exciting experience, and interesting friends, but did not become a billionaire.  Based on my work on the operating system of one of these, I began, in 1985, working at IBM’s Research Division, where I continued investigations on distributed operating systems, microprocessor simulation, and translation between computer languages.  I retired from IBM in 2002 and in 2003 came to Felician College.  I am so glad finally to return to mathematics and teaching. 

Field of Interest

My dissertation was in Algebraic Geometry, an area of mathematics that studies geometric objects, called algebraic varieties, that can be described via sets of solutions of polynomial equations.  A circle in the plane is an example: it is the set of solutions of the polynomial equations x2 + y2 = 1.  Some very beautiful curves, like sine waves, cannot be described in this way.   In my thesis I studied algebraic varieties called vector bundles, and I proved a theorem about these gadgets that other people in the field didn’t know how to prove. 

Courses Taught at Felician College

I have taught most of the courses in mathematics offered at Felician.   I particularly enjoy teaching in courses like Matrix Theory and Linear Algebra (MT343) and Abstract Algebra, which can give the student a taste of more advanced mathematics.

Publications

Tensor Products of Ample Vector Bundles in Characteristic p
in American Journal of Mathematics, Vol XCIII, No. 2, pp. 429-438, April, 1971
A result on the integral Chow ring of a generic principally polarized Abelian variety of dimension four
a joint paper with C.H. Clemens in Composition Mathematica, 34: 49-67, 1977
IBM Research (1985-2002)
My publications while at IBM Research (1985-2002) were mostly IBM internal reports concerning proprietary information related to future projects. These include work in simulation of the performance of microprocessor designs and in automatic translation of programs from one programming language to another.
Office Location:
Martin Hall room 3
Contact Phone:
(201) 559-3193
Contact Email:

Education

Columbia University, PhD in Mathematics (1968)
Harvard College, BS in Mathematics (1964)

Positions Held

Felician College, Associate Professor (2003-present)
IBM (1985-2002)