John A. Beachy

Professor of Mathematical Sciences
Distinguished Teaching Professor
Department of Mathematical Sciences
Northern Illinois University
DeKalb, IL 60115

email: beachy@math.niu.edu   |   telephone: (815) 753-6753

My faculty page   |   My schedule

For my students (Fall 2008)

MATH 720, Homological Algebra, time TBA

MATH 421/521, Algebra II, 6:00-7:15 pm MW

Other courses

Courses I have taught in previous semesters. These webpages usually include the syllabus, supplementary material, exams and quizzes (some with solutions), homework, etc.

General information for math students

Study Guide for Abstract Algebra, 3rd Ed. (in revision)

OnLine Study Guide for Abstract Algebra, 2nd Ed.

MATH 420 / 421, Algebra I, II   |   MATH 520 / 521, Algebraic Structures I, II   |   Algebra at NIU

Abstract Algebra OnLine

About my books

Introductory Lectures on Rings and Modules, Cambridge University Press   |   Class Notes

Abstract Algebra, 3rd Ed, Waveland Press, co-authored with Bill Blair   |   Study Guide

Abstract Algebra, 2nd Ed, Waveland Press, co-authored with Bill Blair   |   OnLine Study Guide

Abstract Algebra with a Concrete Introduction, Prentice-Hall, co-authored with Bill Blair

Research interests

My research studies noncommutative rings, from the point of view of their categories of modules. I am primarily interested in extending localization techniques from the commutative to the noncommutative case. One approach studies injective modules and quotient categories. A second and rather different approach uses the universal localization at a prime ideal.

Some publications, available in pdf and/or postscript format.   |   List of publications

A comprehensive list of ring theorists is maintained by Allen Bell.

References on the topic of noncommutative geometry.

Teaching

Here is my page related to teaching.

Math in the Media (look for the "News" column on this page from the American Math Society)

Personal interests

I have an interest in international education, since I attended Woodstock School (Class of '60), and Goshen College. I did my graduate work at Indiana University, and have been a visitor at McGill University, University of London (Bedford College), the University of Washington, Math Dept, and the University of Glasgow, Math Dept.

International sites: Woodstock news; India news; Ranchi, Jharkhand.
Tennis sites: USTA, USTA - Northern Illinois District, USPTA, ESPN, CNN, TENNIS WORLDWIDE, and tennisserver.