Transparencies

If you have trouble downloading any of the files (all are PostScript, with a few also in PDF), or would prefer a hard copy, please e-mail me at: rstan (at math.mit.edu)

Enumeration of solutions to equations in finite groups (26 pages)
Université du Québec à Montréal (UQAM), June 1997
The distance enumerator of a hyperplane arrangement (41 pages)
Tokyo Metropolitan University, 15 July 1998
The Whitehouse module (32 pages)
RIMS, Kyoto University, 21 July 1998
Otto-von-Guericke-Universität Magdeburg, 11 August 1998
Log-concave and unimodal sequences in algebra, combinatorics, and geometry (34 pages)
Michigan State University, 6 October 1998
The characteristic polynomial of a hyperplane arrangement (41 pages)
Michigan State University, 7 October 1998
Georgia Institute of Technology, 26 May 1999
U.C. Berkeley, 1 November 2004
Parking functions (35 pages) (slightly modified 1/4/99)
Michigan State University, 9 October 1998
Hebrew University, 20 January 1999
version for MIT Math Club, 4 May 2004
Volumes of convex polytopes (48 pages)
Bar-Ilan University, 10 January 1999
Hebrew University, 18 January 1999
Otto-von-Guericke-Universität Magdeburg, 22 January 1999
Spanning trees (31 pages)
Bar-Ilan University, 10 January 1999
Hebrew University, 14 January 1999
Volumes and Ehrhart polynomials of convex polytopes (39 pages)
Georgia Institute of Technology, 27 May 1999
Hyperplane arrangements and interval orders (20 pages)
Northeastern University, 15 June 1999
Mathematical games (PostScript or pdf) (30 pages)
M.I.T., 22 June 1999
M.I.T., 25 January 2002
M.I.T., 14 January 2008 (slightly expanded)
Problems and conjectures on f-vectors (25 pages)
Osaka University, 27 July 1999
Generalized riffle shuffles and quasisymmetric functions (18 pages)
Providence, RI, 2 October 1999
Université du Québec à Montréal (UQAM), 29 October 1999
Chess and mathematics (PostScript or pdf) (27 pages): the second lecture in a series of two lectures (the first given by Noam Elkies) based on a book in preparation. Excerpt from book: 12 page PostScript or PDF file.
M.I.T., 13 January 2000
Acyclic flow polytopes and Kostant's partition function (12 pages)
Washington, DC, 22 January 2000

Expanded version (latest revision 8/30/00, 29 pages)
U.C. Berkeley, 20 March 2000
Stanford University, 22 March 2000
AT&T Laboratories, 21 July 2000
Université du Québec à Montréal (UQAM), 9 September 2000
Some open problems in enumerative combinatorics (31 pages)
Foatafest, Temple University, 7 July 2000
Recent progress in algebraic combinatorics : (1) the Saturation Conjecture, (2) the n! and (n+1)^n-1 conjectures, (3) longest increasing subsequences (52 pages)
UCLA, 7 August 2000
Polynomials with real zeros (36 pages)
University of Kentucky, 6 March 2001
Texas A&M University, 24 March 2001
The mathematical legacy of Rodica Simion (30 pages)
FPSAC, Arizona State University, 22 May 2001
Border strips, snakes and codes of skew partitions (30 pages)
M.I.T., 19 September 2001
University of Michigan, 29 March 2002
IDA-CCR, Princeton, 8 April 2002
KTH, 21 May 2002
Free probability for combinatorialists (23 pages)
Williamstown, MA, 13 October 2001
A survey of flag f-vectors and flag h-vectors I (25 pages)
University College London, 18 May 2002 (Part II was given by Louis Billera.)
Kerov's character polynomial and irreducible symmetric group characters of rectangular shape (16 pages)
Québec City, June 2002
Open problems related to chromatic symmetric functions (31 pages)
Mount Holyoke College, 21 July 2002
A survey of generating functions (58 pages)
New Plymouth, New Zealand, 7-8 January 2003
Recent progress in algebraic combinatorics: (1) the Laurent phenomenon, (2) toric Schur functions, (3) sign imbalance (47 pages)
FPSAC, Vadstena, Sweden, 25 June 2003
U. C. Davis, 21 January 2004
open problem (three pages) presented at FPSAC (later solved by M. Ishikawa, math.CO/0408204)
A survey of the Bruhat order of the symmetric group (PDF) (37 pages)
CCR-P, Princeton, NJ, 29 June 2003 (postponed to 8 August 2003)
version for Nankai University, 4 August 2004 (31 pages)
A survey of lattice points in polytopes (PDF) (37 pages)
Stockholm, 24 October 2003
UCSD, 26 January 2004
Schubert polynomials and chains in the Bruhat order of the symmetric group (14 pages)
Phoenix, 7 January 2004
Extended version presented at M.I.T., 28 April 2004 (22 pages)
Recent developments in algebraic combinatorics: (1) toric Schur functions, (2) toric h-vectors and intersection cohomology (30 pages)
Yale University, 30 March 2004
Some problems I couldn't solve (15 pages)
M.I.T., 26 June 2004
Update
Tilings (PDF, slightly corrected version of 10 November 2005) (57 pages)
Clay Public Lecture, Park City, Utah, 16 July 2004
Version (somewhat more mathematical), IAP lecture, M.I.T., 19 January 2007
Version (better graphics), Sulski Lecture, College of the Holy Cross, Worcester, MA, 24 April 2007
Hyperplane arrangements and special relativity (30 pages)
MSRI, 4 November 2004
Linköping, Sweden, 4 April 2005
Crossings and nestings of matchings and partitions (26 pages)
Montreal, 13 December 2004
An introduction to RSK (29 pages)
Netzeband, Germany, 3 June 2005
Increasing and decreasing subsequences
Original version (36 pages): Colonia, Uruguay, 2 August 2005
Expanded version (45 pages): WPI, 10 September 2005
Two-lecture version (56 pages): Texas A&M University, October 2005 (corrected and updated 14 October 2005)
Another version (43 pages): UCSD, 8 December 2005, and Arizona State University, 18 January 2006
Standard Young tableaux (23 pages)
Texas A&M, October 2005
Open problem on F(-F(-x)) = x (3 pages)
San Antonio, 14 January 2006
A conjectured combinatorial interpretation of the normalized irreducible character values of the symmetric group (14 pages)
Storrs, CT, 27 October 2006
Alternating permutations (28 pages)
Montreal, 28 March 2007
Promotion and evacuation (36 pages); pdf
Stockholm, 30 May 2008
Partition statistics with respect to Plancherel measure (26 pages); pdf
Cornell, 14 June 2008

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