Josh Ducey Office: 339 Roop Hall Phone: 540-568-5100 Email: duceyje at jmu dot edu |

Teaching:

- Math 199: Algebra/Precalculus Gateway
- Math 205: Introductory Calculus I
- Math 475:
Fundamental Concepts of Geometry

Research:

I do research in algebraic combinatorics. Generally I am interested in using techniques from group representation theory to compute numerical invariants of interesting and beautiful combinatorial structures. For more information, see my papers or cv.

Undergraduate Research Projects:

Here you can read about research projects I have done with undergraduates.

Talks:

- JCCA 2016, Kyoto University, Japan, May 2016 pdf
- Algebra Seminar, University of Florida, April 2016 pdf
- Discrete Math Seminar, University of Delaware, April 2016 pdf
- AMS Spring Southeastern Sectional Meeting, University of Georgia, March 2016 pdf pdf
- MAA MD-DC-VA Section Meeting, Roanoke University April 2015 pdf
- AMS Western Sectional Meeting, University of Nevada, Las Vegas, April 2015 pdf
- Colloquium talk given at Dept. of Mathematics and Statistics, James Madison University, September 24 2012 pdf
- Algebraic Combinatorics: In Memory of Bob Liebler, at Colorado State University, November 5 2011 pdf
- Colloquium talk given at Dept. of Mathematics and Statistics, James Madison University, March 14 2011 pdf
- Given at conference on Designs, Codes, and Geometries at University of Delaware, March 30 2010 pdf

Personal:

I own a couple of telescopes.

Before I gave my life to mathematics, I had a short stint as a dock builder.

Some Links:

Wikipedia's great math section

MathOverflow -- a cool site where mathematicians can ask and answer questions

Wolfram Alpha -- a "computational knowledge engine"

Sage -- powerful, free, open source software for mathematics research

finite simple group (of order two)

opinions of Doron Zeilberger

xkcd

smbc

"A course in combinatorics" -- Poem by Kathabela Wilson (wife of mathematician Rick Wilson)

A Mathematician's Lament

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