Tina Garrett

Assistant Professor of Mathematics

Department of Mathematics, Statistics and Computer Science
St. Olaf College
1520 St.Olaf Avenue
Northfield, MN 55057
garrettk (AT) stolaf (dot) edu
Office phone: (507) 646-3419
Office Hours, Fall Semester, 2007:

TBA

Drop ins and appointments welcome!

Courses:

Spring 2007:
Math 121 Calculus I with Lab
Math 252 Abstract Algebra
Course Information for Spring 2007 can be found on Moodle.

Research Interests:

I am interested primarily in enumerative combinatorics, partitions, q-series and orthogonal polynomials. I am currently interested in combinatorial interpretations of Rogers-Ramanujan type identities and permutation tableaux.

Mathematica Packages:

Permutation Tableaux: software

Papers:

Kristina C. Garrett and Kendra Killpatrick: "Fixed Points of Bimahonian Generating Functions" (.pdf version); to appear in International Journal of Algebra

Kristina C. Garrett and Kendra Killpatrick: "A Sign-Reversing Involution on Bimahonian Generating Functions" (.pdf version); to appear in ARS Combinatoria

Kristina C. Garrett: "Weighted Tilings and q-Fibonacci Numbers" (.pdf version); (submitted)

Kristina C. Garrett: "A Determinant Identity that Implies Rogers-Ramanujan " (.pdf version); Electronic Journal of Combinatorics 12 (1) (2005)

Kristina C. Garrett: "New Generalizations of Rogers-Ramanujan Type Multisum Identities"(.ps version) (.pdf version); (In revision)

Kristina C. Garrett and Kristen Hummel: "A Combinatorial Proof of the sum of q-Cubes" (.pdf version); Electronic Journal of Combinatorics 11 (1) (2004); (.ps version)

Kristina Garrett, Mourad E. H. Ismail and Dennis Stanton: "Variants of the Rogers-Ramanujan Identities" (.ps version) (.pdf version); Advances in Applied Mathematics 23, 2764-299 (1999)

Kristina Garrett: "Lattice Paths and Generalized Rogers-Ramanujan Type Identities" (.pdf version); Ph.D. Thesis Spring 2001; (.ps version)

Conference Papers & Presentations:

Kristina C. Garrett: "Partition Theorems in Need of Bijections" (.pdf version); North Central Section MAA, St. Cloud State University, Spring 2002.

Other Interests:

My Alma Mater: MIT

Visit some of my favorite MIT websites:

Dept. of Mathematics HomePage (Course 18 to the techies)
The MIT RUGBY Club Cheer This posted by popular demand!
MIT Women's Basketball

Some great math links:: Combinatorial Object Server

Disclaimer