Michael Kleber
Publications
My curriculum vitae (pdf), often outdated.
Expository writing. I am the co-editor (along with
Ravi Vakil)
of the Mathematical Entertainments column in the
Mathematical Intelligencer.
Any columns I actually write will show up here, but only after they
appear in print.
- Encounter at Far Point.
MI 30 #1, Winter 2008.
- Cartographiana.
MI 27 #2, Spring 2005.
Note: this PDF file is 5 Meg, due to several included high-resolution images
(like this one, cropped from a
huge Maryland State Highway Administration
aerial photograph).
- Goldbug Variations.
MI 27 #1, Winter 2005.
Note: this PDF file is 1 Meg, mostly because it includes a
high-resolution picture of the
three million bug rotor-router blob (650Kb).
- Four, Twenty-four,...?.
MI 24 #2, Spring 2002.
- The Best Card Trick.
MI 24 #1, Winter 2002.
Also appearing in our space was The card game
SET, by Ben Davis
and Diane Maclagan
(MI 25 #3, Summer 2003), which I had a hand in and am quite
proud of.
Mathematics research papers, in reverse chronological order. The official,
authoritative version of the paper is the one published in the journal.
- Tensor product stabilization in
Kac-Moody algebras, with
Sankaran Viswanath.
Advances in Mathematics 201 (2006) #1.
- A Gray path on binary partitions,
with
Thomas Colthurst.
In progress; this is a draft and likely to change. We start by
answering a question from pre-fascicle 2d of
Knuth's TAOCP Vol. 4 and see where it takes us.
- Increasing trees and Kontsevich cycles,
with Kiyoshi Igusa.
Geometry and Topology
8 (2004) #26.
- Generalized Kirillov-Reshetikhin Modules for Quantum Affine Algebras,
with Ian Grojnowski.
In preparation. (But Ian's
MSRI talk, 18 April 2002, is on the web.)
-
Linearly Independent Products of Rectangularly Complementary
Schur Functions.
Electronic Journal of
Combinatorics
9(1) (2002) #R39.
If you prove the conjecture, let's talk.
-
Symmetric Functions and Representations of Quantum Affine
Algebras, with
Vyjayanthi Chari.
In "Recent Developments in Infinite-Dimensional Lie Algebras and
Conformal Field Theory." Contemporary Mathematics 297,
AMS, 2002.
-
Embeddings of Schur functions into types B/C/D.
Journal of Algebra 247 (2002), No. 2. (Available on-line as
doi:10.1006/jabr.2001.9038 through IDEAL, with subscription.)
-
Bijective proofs for Schur function identities which imply
Dodgson's condensation formula and Plücker relations,
with Markus Fulmek.
Electronic Journal of
Combinatorics
8(1) (2001) #R16.
- Tournament Sequences and Meeussen
Sequences, with
Matt Cook.
Electronic Journal of
Combinatorics
7(1) (2000) #R44.
-
Plücker Relations on Schur Functions.
Journal of Algebraic Combinatorics 13 (2001) #2.
-
Reducing a Set by Subtracting Squares, with
Dean Hickerson.
Journal of Integer Sequences 2 (1999).
(Hence I have an
Erdös Number of 2)
-
Polynomial Relations Among Characters coming from Quantum Affine
Algebras.
Mathematical Research Letters 5 (1998) #6.
-
Finite Dimensional Representations of Quantum Affine Algebras.
Ph.D. dissertation, U.C. Berkeley, 1998.
-
Combinatorial Structure of Finite Dimensional Representations
of Yangians: the Simply-Laced Case.
International Mathematics Research Notices (IMRN) 1997 #4.
If you have any problems, or would like paper copies, please send me
kleber@brandeis.edu.
You can find most of these papers as well by
searching
for me on the xxx
Mathematics Archive.
Michael Kleber
kleber@brandeis.edu
