A pdf version of my CV is available here.

Curriculum Vitae
Michael Zabrocki

York University
Mathematics and Statistics
4700 Keele Street 
Toronto, Ontario  M3J 1P3 
zabrocki at mathstat dot yorku dot ca
web page: http://www.math.yorku.ca/~zabrocki
** Dundonald Street, #** 
Toronto, Ontario  M4Y 1K3 
Phone: (416)-944-****

Citizenship: United States


University of California, San Diego, Ph.D., Mathematics, March, 1998.

University of California, San Diego, M.A., Mathematics, March 1996.

University of California, San Diego, B.A., Mathematics-Computer Science, June 1992.

Grants and awards:
Acheivement Rewards for College Scientists 1996-97 and 1997-98.

Mathematics Department Teaching Assistant Award 1996 .

Teaching/Research Experience
York University
Summer 2002-present
Assistant professor

York University
Fall 2000-Summer 2002
Post-doc.  Visiting instructor for Symbolic Computation course.

Université du Québec à Montréal , LaCIM
Fall 1999-Fall 2000
Post-doc.  Teaching assistant for Maple lab course.

Université du Québec à Montréal , LaCIM /Université à Montréal , CRM
August 1998-Fall 1999
Research Post-Doc.  Teaching assistant for Maple course

University of California, San Diego La Jolla, CA
Spring 1998
Visiting Instructor for Cryptography and Calculus courses.

San Diego City College San Diego, CA
Fall 1997
Adjunct-Instructor for college algebra course.

University of California, San Diego La Jolla, CA
Winter and Fall 1997
Associate-Instructor for two calculus courses.

University of California, San Diego La Jolla, CA
1992 - 1997
Teaching Assistant for mathematics courses including cryptography , computer graphics , statistics , modern algebra, compilers, data structures, real analysis, topics in math/computer science and all levels of calculus.

University of California, San Diego La Jolla, CA
Spring 1995, Summers 1992, 1993, 1997
Research Assistant.

Seminars and Talks:
SIAM Conference on Discrete Mathematics, San Diego, August 2002.

FPSAC '02, Melbourne, Australia, July 2002.

University of Waterloo, Algebraic Combintorics Seminar, June 2002.

Wilfred Laurier University, Discrete Mathematics Seminar, April 2002.

University of Miami, Colloquium, February 2002.

AMS general meeting , Organizer special session, Algebraic Combinatorics,  San Diego, January 2002.

AMS general meeting , Theory and Applications of Symmetric Functions, San Diego, January 2002.

CMS Winter Meeting, Kac-Moody, Lie Theory and Generalizations, Toronto, December 2001.

Combinatorics Seminar , University of Minnesota, November 2001.

Workshop on Integrable Models, Combinatorics and Representation Theory , RIMS, Kyoto, August 2001.

NSF/CBMS Regional Conference on Algebraic Combinatorics , North Carolina State University, Raleigh, May 2001.

FPSAC '01 , Scottsdale, Arizona, May 2001. (poster and computer demonstration)

Colloqium, Dartmouth College ,  Hanover, April 2001.

CombinaTexas , Texas A\&M Univeristy, College Station, March 2001. (poster)

Colloque LaCIM 2000 , UQÀM, Montréal, September 2000.

Wake Forest University , Winstom-Salem, April 2000.

MIT Combinatroics Seminar , MIT, Boston, April 2000.

Applied Algebra Seminar , York University, Ontario, March 2000, October 2001.

CMS Winter Meeting, Organizer special session, Combinatorial algebra, group representations and Macdonald polynomials, Montreal, Quebec ,  December 1999.

FPSAC '99 , Barcelona, Spain, June 1999.

Northeastern University, Representation Theory Seminar, Boston, April 1999.

UQAM, LaCIM , Combinatorics Seminar, Montreal, Quebec, October 1998, November 1998, March 1999, March 2000, October 2000, November 2001.

Quarto Incontro Italiano Di Combinatoria Algebrica, Taormina, Sicily, July 1997.

All UC Campus Conference- Technologies in the Classroom , University of California at Los Angeles, April 1997. Presented web demonstration of material developed for cryptography and statistics class.

University of California at San Diego, Combinatorics Seminar, January 1997, February 2000.

University of San Diego, Brown Bag Seminar, October 1995.

Course Development:
Probability- Developed a 3 week course on introductory probability that was used in a calculus class.

With Adriano Garsia :

Cryptography- created programs to break codes, demonstrations to present material on the Web, researched new topics in cryptography for use in existing course.  Web page .

Computer Animated Statistics- helped develop a new course that uses Java based Web applications and Mathematica to learn introductory statistics. Web page .

With Hubert Halkin, Don Smith and John Evans:

Applied Algebra- Developed a group theory computer package and an assignment to accompany it for use in a course on modern algebra.

Research interests:
Algebraic combinatorics, bijective combinatorics, symmetric functions, root systems, and Hecke algebras.
My special obsession is the positivity of the Macdonald q,t-Kostka coefficients
Thesis:On The Action of the Hall-Littlewood Vertex Operator

List of publications:

  1. A Bijective Proof of an Unusual Symmetric Group Generating Function
  2. A Macdonald Vertex Operator and Tableaux Statistics for the Two-Column $(q,t)$-Kostka Coefficients, Electronic Journal of Combinatorics, 5, R45 , also summary in Proceedings of FPSAC '99
  3. Vertex operators for standard bases of the symmetric functions, J. of Alg. Comb., 13, No. 1 (2000), pp. 83-101. ( available math.CO )
  4. Positivity for special cases of $(q,t)$-Kostka coefficients and standard tableaux statistics, Electronic Journal of Combinatorics, 6, R41
  5. (with Mark Shimozono) Hall-Littlewood vertex operators and generalized Kostka polynomials, Adv. in Math., 158 (2001), pp. 66-85.  ( avaliable math.QA )
  6. Ribbon Operators and Hall-Littlewood Symmetric Functions , Adv. in Math., 156 (2000), pp. 33-43. ( available math.QA )
  7. (with Adriano Garsia) Polynomiality of the q,t-Kostka Revisited, Algebraic combinatorics and computer science, Springer Italia, Milan, (2001), pp. 473-491.( available math.QA )
  8. q-Analogs of symmetric function operators, to appear Discrete Math. ( available math.QA )
  9. (with Rosa Orellana) Some remarks on the characters of the general Lie superalgebra, ( available math.CO )
  10. (with N. Bergeron) q and q,t-Analogs of Non-commutative Symmetric Functions ( available math.CO )
  11. (with G. Tudose) q-Analogs of Q-Schur functions( available math.CO )

Last Updated: March 15, 2002