Personal Information
| Born: June 9, 1972 |
Citizenship: U.S. |
Employment
| Senior Lecturer, Penn State University |
Jul. 2011 - Present |
| Lecturer, Penn State University |
Aug. 2004 - Jul. 2011 |
| John Wesley Young Research Instructor, Dartmouth College |
Jul. 2002 - Jun. 2004 |
| UC Faculty Fellow, University of California, San Diego |
Jan. 2001 - Jun. 2002 |
| Lecturer, University of California, San Diego |
Summer 2001 |
| Graduate Teaching Fellow, University of California, San Diego |
Summer 2000 |
| Senior Teaching Assistant, University of California, San Diego |
Sept. 1998 - June 1999 |
| Teaching Assistant, University of California, San Diego |
Sept. 1994 - June 2000 |
Education
| Ph.D. Mathematics, University of California, San Diego |
Dec. 2000 |
| M.A. Mathematics, University of California, San Diego |
Dec. 1996 |
| B.S. with University Honors, Carnegie Mellon University, Pittsburgh, PA. |
May 1994 |
Research Interests
Enumerative and algebraic combinatorics, symmetric functions, representation
theory, orthogonal polynomials, partition theory
Presentations
Fall Eastern Section Meeting, Penn State
Some Fine Combinatorics |
Oct. 2009 |
Combinatory Analysis, Penn State
A New Combinatorial Approach to q-Series Identities |
Dec. 2008 |
Partitions/Combinatorics Seminar, Penn State
Recent Progress on Tiling Proofs of q-Series Identities |
Nov. 2008 |
Combinatorics Seminar, UCSD
A New Combinatorial Approach to q-Series Identities |
Aug. 2008 |
Partitions/Combinatorics Seminar, Penn State
Classical q-Series Identities via Tilings |
Nov. 2007 |
Partitions/Combinatorics Seminar, Penn State
New Proofs of Identities of Lebesgue and Göllnitz via Tilings |
Nov. 2007 |
Partitions/Combinatorics Seminar, Penn State
Combinatorial Proofs of Various q-Pell Identities via Tilings |
Nov. 2007 |
Colloquium, Dartmouth College
The Littlewood-Richardson Rule via Reduced Factorizations of the Symmetric Group |
Sept. 2003 |
| Combinatorics Seminar, MIT |
Apr. 2003 |
AMS Southeastern Section Meeting, Orlando, FL
Combinatorics of the Lascoux-Schützenberger Tree |
Nov. 2002 |
Colloquium, SUNY Albany
Reduced Factorizations of the Symmetric Group |
Sept. 2002 |
| Seminar, CSU Fresno |
Feb. 2002 |
| Colloquium, Bucknell University |
Jan. 2002 |
Joint Mathematics Meetings, San Diego
Combinatorial Aspects of the Lascoux-Schützenberger Tree |
Jan. 2002 |
Combinatorics Seminar, University of Pennsylvania
Reduced Factorizations of the Symmetric Group, Parts I & II |
Nov. 2001 |
Séminaire Lotharingien de Combinatoire, The Andrews Festschrift
An Extension of Franklin's Bijection |
Sept. 1998 |
Publications
- A Tiling Approach to Eight Identities of Rogers (with James A. Sellers)
European Journal of Combinatorics, 31 (2010) 694-709
- Some Fine Combinatorics
The Ramanujan Journal, 23 (2010) 341 - 353
The original publication is available at www.springerlink.com
- New Proofs of Identities of Lebesgue and Gollnitz via Tilings (with James A. Sellers)
Journal of Combinatorial Theory, Series A, 116 (2009) 223-231
- Combinatorial Proofs of Various q-Pell Identities via Tilings (with Karen S. Briggs and James A. Sellers)
Annals of Combinatorics, 14 (2010) 407 - 418
- Factorization of the Robinson-Schensted-Knuth Correspondence
Journal of Combinatorial Theory, Series A, 110 (2005) 147-168
- A Combinatorial Refinement of the Lascoux-Schützenberger Tree
Appendix to A. M. Garsia's manuscript The Saga of Reduced Factorizations of Elements of the Symmetric Group, Vol. 29 of Publications du Laboratoire de Combinatoire et d' Informatique Mathématique
- Combinatorial Aspects of the Lascoux-Schützenberger Tree
Advances In Mathematics, 174 (2003) 236-253
Visit an online demonstration
- q-Enumeration of Classical Combinatorial Structures
PhD Thesis, University of California, San Diego, 2000
- An Extension of Franklin's Bijection
Sém. Lothar. Combin., 42:Art B42h, 10 pp. (electronic), 1999. The Andrews Festschrift (Maratea, 1998).
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