Some of Rob Donnelly's presentation notes and other expository writing
Talks
Link to notes on Coxeter Groups and CombinatoricsNotes from my October/November 2009 series of talks as part of a Coxeter Groups Seminar.
Link to notes on
Combinatorial Lie
Representation Theory
Notes from my March/April 2006 MSU Pure Math Seminar
series of talks.
Link to notes/abstracts from some other talks
Expositions
Summary statement about my research interestsFirst drafted in Spring 2005, 2 pp.
A very short description of my interests in algebraic combinatorics
intended for Murray State mathematics graduate students.
Some notes on Posets, Weyl
Characters, and Representations of Semisimple Lie Algebras
First edition, April 2008, 63 pp.
This work-in-progress is intended as
an exposition of the background material, results, and open problems
of a particular poset theoretic
study of Weyl characters and semisimple Lie algebra representations
begun in the late 1970's and early 1980's in the
work of Richard P. Stanley and Robert A. Proctor.
Some notes on cryprotgraphy and secure
public key exchange
Supplement from an MSU Abstract Algebra course, Fall 2002, 5 pp.
Notes on the Fundamental Theorem for
Finitely-generated Modules over a P.I.D.
From lectures on this topic given in a graduate-level
Abstract Algebra course at MSU, Fall 2000, 23 pp.
I have plans to make a few more additions to this document.
Algebra and enumeration:
The Bracelet Problem
Supplement from an MSU Abstract Algebra course, Fall 2002,
2 pp., landscape mode.
The pdf looks grainy in the previewer, but prints OK.
Addresses one of the questions included in my
statement of research interests.
An enumerative classic:
The Secret Santa Problem
Notes from a Pi Mu Epsilon talk I gave at MSU in November 2003, 9 pp.
The idea was to use Christmas-themed versions of some famous counting
problems to introduce some of the basics of enumerative combinatorics.
The Secret Santa problem is known in combinatorics circles as the
derangements problem.
Also included is a Christmas version of Fibonacci's rabbit
population problem (we count elves instead of rabbits).
These address two of the questions included in my
statement of research interests.
A generalization of
the Secret Santa Problem
A question posed by MSU colleagues Wayne Bell and Mark Galloway in
Spring 2006 inspired
this investigation, 7 pp.
There are some open questions included here.
Why do planets have
elliptical orbits?
Supplement from an MSU Calculus III course, Spring 2004, 2 pp.
The Geometry of Curves, Part I
Supplement from an MSU Calculus III course, Fall 2001, 6 pp.
The Geometry of Curves, Part II
Supplement from an MSU Calculus III course, Fall 2001, 7 pp.
Notes on Curl and Divergence
Supplement from an MSU Calculus III course, Fall 2001, 7 pp.
The pdf looks grainy in the previewer, but prints OK.
Analogies between Calculus I/II
concepts and Calculus III concepts
Supplement from an MSU Calculus III course, Fall 2001, 6 pp.
Calculus applied to two- and
three-dimensional vector fields: A comparison
Supplement from an MSU Calculus III course, Fall 2001, 2 pp.
Go to R. G. Donnelly's research page
