Gaywalee Kerman-Yamskulna, Ph. D.

    HOME   RESEARCH   CONFERENCES     MAT 247          MAT 175

Publications and Preprints
  • Rationality of the vertex algebra $V_L^+$ when $L$ is a nondegenerate even lattice of arbitrary rank, Journal of Algebra 321, 1005-1015 (2009).
  • Book Review: The Beautiful Monster, Educational Studies in Mathematics 70, 295-298 (2009).
  • Classification of irreducible modules of a vertex algebra $V_L^+$ when $L$ is a nondegenerate even lattice of an arbitrary rank, Journal of Algebra 320, 2455-2480 (2008).
  • Vertex Poisson Algebras associated with Courant Algebroids, Communications in Algebra, 35, No. 12, 4137-4162 (2007).
  • Twisted modules of vertex algebras associated with vertex algebroids (with H. Li), Pacific Journal of Mathematics, 220, No. 1, 1999-222 (2007).
  • On certain vertex algebra and their modules associated with vertex algebroids (with H. Li), Journal of Algebra 283, 367-398 (2005).
  • $C_2$-cofiniteness of the vertex operator algebra $V_L^+$, Communications in Algebra 38, 927-954 (2004).
  • The relationship between skew group algebras and orbifold theory, Journal of Algebra 256, 502-517 (2002).
  • Vertex operator algebras, generalized doubles and dual pairs (with C. Dong), Mathematische Zeitschrift 241, 397-423 (2002)
  • $C_2$-cofiniteness of the vertex algebra $V_L^+$ when $L$ is a non-degenerate even lattice (with Jitjankarn ), to appear in Communications in Algebra.

 

Books
  • Vertex Operator Algebras and Related Areas (co-editor with M. Bergvelt, and W. Zhao), Contemporary Mathematics, Volume 497, American Mathematical Society, Providence, RI,  2009 (227 pages).


Grants and Fellowships
  • Collaboration Grant for Mathematics from the Simons Foundation, 07/01/2011-08/31/2016.
  • Grant from National Science Foundation, 03/01/08-02/28/10 (with W. Zhao).
  • Illinois State University Pre-Tenure Faculty Initiative Grant, Summer 2006.
  • Illinois State University New Faculty Initiative Grant, Summer 2005.
  • Mentoring Travel Grant from Association for women in Mathematics, Spring 2003.
  • Research Postdoctoral Fellowship from MSRI, Spring 2002.
  • Doctoral Student Sabbatical Fellowship from University of California at Santa Cruz, Spring 2001.
  • Graduate Fellowship from the Fields Institute, Fall 2000.
  • The Development and Promotion of Science and Talents Projects Fellowship from the Government of Thailand, 1992-2001.

 

 

Research Conferences Organized/Co-organized
  • International Conference on Vertex Operator Algebras and Related Areas, Illinois State University, July 7- July 11, 2008 (co-organizers: M. Bergvelt and W. Zhao).
  • Workshop on Vertex operator algebras, Illinois State University, November 4, 2006 (co-organizer: W. Zhao).
  • Organizer for the Algebra Seminar, Illinois State University, Fall 2006- Spring 2007.
  • American Mathematical Society sectional meeting Special Session on Lie Algebras, Conformal Field Theory and Related topics, SUNY at Binghamton, October 11- October 12, 2003 (co-organizers: A. Feingold,  and C. Dong)