Dr. Gaywalee Yamskulna
Professor
Office
STV Stevenson Hall 313
Office Phone
Email
- About
- Education
- Awards & Honors
- Selected Research
Current Courses
MAT 146.001 Calculus II
MAT 146.002 Calculus II
MAT 299.001 Independent Honor Study
MAT 400.002 Independent Study
Research Interests & Areas
Vertex operator algebras. For more information about Yamskulna's research, please visit https://about.illinoisstate.edu/gyamsku/.
Ph D Mathematics
University of California at Santa Cruz
Santa Cruz, California
BS Mathematics
Chulalongkorn University
Bangkok, Thailand
AMS-Simons Research Enhancement Grants for Primarily Undergraduate Institution Faculty, September 2025-August 2028
American Mathematical Society
2025
AWM-NSF Travel Grant (DMS-2015440) September 2025-October 2025
Association for Women in Mathematics
2025
Conference Grant from the National Science Foundation, 2025-2028 (with K. Barron, J. Hartwig, J. Plavnik and C. Delaney)
National Science Foundation
2025
Departmental Service Award, Department of Mathematics, 2024
Department of Mathematics
2024
Inclusive Excellence STEM Fellow , 2023-2024 academic year
Illinois State Universiyt
2023
Research group leaders grant for Women in Mathematical Physics workshop, August 18-23, 2023 (with K. Barron and F. Orosz-Hunziker).
Banff International Research Station for Mathematical Innovation and Discovery, Alberta, Canada
2023
Research Grant from ISU College of Arts and Sciences, July 2022-July 2024
ISU College of Arts and Sciences
2022
Research group leaders grant from Women in Mathematical Physics workshop, September 20-25, 2020 (with K. Barron).
Banff International Research Station for Mathematical Innovation and Discovery, Alberta, Canada
2020
Summer for Women in Mathematics (SWiM) Research Program Award (2020), Reschedules for Summer 2021 (with D. Addabbo, and K. Barron).
Mathematical Sciences Research Institute (MSRI)
2020
CAS Outstanding College Teacher (Sciences & Mathematics), 2018-2019
College of Arts and Sciences, Illinois State University
2018
Departmental Outstanding Teacher Award
Department of Mathematics, Illinois State University
2018
Grant from National Science Foundation, 2018-2019 (with M. Krauel)
2018
Impact Award
Illinois State University
2018
SQuare Grant from the American Institute of Mathematics (with M. Krauel, G. Mason and M. Tuite), 2017-2020
2017
Collaboration Grant for Mathematics from the Simons Foundation, 2011-2017
2011
Grant from National Science Foundation, 2008-2010 (with W. Zhao)
2008
Departmental Outstanding Research Initiative Award
Department of Mathematics, Illinois State University
2007
Illinois State University Pre-Tenure Faculty Initiative Grant, Summer 2006
2006
Illinois State University New Faculty Initiative Grant, Summer 2005
2005
Research Postdoctoral Fellowship
the Mathematical Sciences Research Institute
2002
Research Postdoctoral Fellowship from MSRI, Spring 2002
2002
Graduate Fellowship
the Fields Institute
2000
The Development and Promotion of Science and Talents Projects Fellowship
the Government of Thailand, 1992-2001
1992
Grants and Contracts
AWM-NSF Travel Grant (DMS-2015440), September 2025- October 2025.
Gaywalee Yamskulna.
Association for Women in Mathematics. September 2025 - October 2025
Conference: Midwest Conferences on Quantum Symmetry and Beyond
Gaywalee Yamskulna.
National Science Foundation. September 2025 - August 2028
Modular Invariance and Gorenstein Properties in Vertex Algebra Representation Theory
Gaywalee Yamskulna.
American Mathematical Society and Simons Foundation. November 2025 - 2028
Classification of Vertex Operator Algebras and their modules
Gaywalee Yamskulna.
The Simons Foundation. July 2011 - August 2016
Illinois State University Pre-tenured Faculty Initiative Award
Gaywalee Yamskulna.
Illinois State University. May 2006 - July 2006
Mentoring Travel Grant
Gaywalee Yamskulna.
National Science Foundation-Association for women in Mathematics. January 2003 - August 2003
Travel Grant
Gaywalee Yamskulna.
Institute of Pure and Applied Mathematics, Los Angeles. August 2001 - December 2001
Illinois State University New Faculty Initative Grant
Gaywalee Yamskulna.
Illinois State University. - 2005
Book Review
The Beautiful Monster
Gaywalee Yamskulna.
(2009), 70, 295-298, Educational Studies in Mathematics
Book, Edited
Conference proceedings of an international conference on Vertex operator algebras, Number theory and related topics held June 11-15, 2018 at California State University, Sacramento
Matthew Krauel, Michael Tuite, Gaywalee Yamskulna.
(2020), 753, 227, Contemporary Mathematics (American Mathematical Society)
Journal Article
On N-graded vertex algebras associated with Gorenstein algebras
Alexander Keene, Christian Soltermann, Gaywalee Yamskulna.
Journal of Algebra, 678, 729-768, (2025), https://doi.org/10.1016/j.jalgebra.2025.04.032.
On N-graded vertex algebras associated with cyclic Leibniz algebras with small dimensions
Cesiley Barnes, Emma Martin, Josalyn Service, Gaywalee Yamskulna.
Journal of Pure and Applied Algebra, 228 (1), (2024), https://doi.org/10.1016/j.jpaa.2023.107439
On rationality of C-graded vertex algebras and applications to the Weyl vertex algebras
Katrina Barron, Karina Batistelli, Florencia Orosz Hunziker, Veronika Pedić Tomić, Gaywalee Yamskulna.
Journal of Mathematical Physics, 63 (091706), (2022), https://doi.org/10.1063/5.0117895
Vertex Algebroids and Conformal Vertex Algebras associated with simple Leibniz algebras
Thuy Bui, Gaywalee Yamskulna.
Journal of Algebra, 586, 357-401, (2021)
On Indecompasable Non-Simple N-graded Vertex Algebras
Phichet Jitjankarn, Gaywalee Yamskulna.
Journal of Algebra, 557, 181-210, (2020)
On indecomposable vertex algebras associated with vertex algebroids
Phichet Jitjankarn, Gaywalee Yamskulna.
Journal of Algebra, 560, 791-817, (2020)
Mathieu-Zhao Subspaces of Vertex Algebras
Gaywalee Yamskulna.
Journal of Algebra and Its Application, 1950225, 16, (2019)
N=2 and N=4 subalgebras of super vertex operator algebras
Geoffrey Mason, Michael Tuite, Gaywalee Yamskulna.
Journal of Physics A: Mathematical and Theoretical, 51 (6), 22, (2018)
On the structure of N-graded Vertex Operator Algebras
Gaywalee Yamskulna, Geoff Mason.
Developments and Retrospectives in Lie Theory, Algebraic Methods, Developments in Mathematics, 38 (Springer 2014 Edition), 247-274, (2014)
Leibniz and Lie algebras
Gaywalee Yamskulna, Geoff Mason.
SIGMA, 9 (063), 10 pages, (2013)
C_2-cofiniteness of the vertex algebra (V_L)^+ when L is a non-degernate even lattice
Gaywalee Yamskulna, P Jitjankarn.
Communications in Algebra, 38 (12), 4404-4415, (2010)
Rationality of the vertex algebra (V_L)^+ when L is a nondegenerate even lattice of arbitrary rank
Gaywalee Yamskulna.
Journal of Algebra, 321, 1005-1015, (2009)
Classification of irreducible modules of the vertex algebra (V_L)^+ when L is a nondegenerate even lattice of an arbitrary rank
Gaywalee Yamskulna.
Journal of Algebra, 320, 2455-2480, (2008)
Twisted modules of vertex algebras associated with vertex algebroids
Gaywalee Yamskulna, Haisheng Li.
Pacific Journal of Mathematics, 220 (1), 199-222, (2007)
Vertex Poisson Algebras associated with Courant Algebroids
Gaywalee Yamskulna.
Communications in Algebra, 35 (12), 4137-4162, (2007)
On certain vertex algebras and their modules associated with vertex algebroids
Gaywalee Yamskulna, Haisheng Li.
Journal of Algebra, 283, 367-398, (2005)
C_2-cofiniteness of the vertex operator algebra V_L^+ when L is a rank one lattice
Gaywalee Yamskulna.
Communications in Algebra, 38, 927-954, (2004)
The relationship between skew group algebras and orbifold theory
Gaywalee Yamskulna.
Journal of Algebra, 256, 502-517, (2002)
Vertex operator algebras, generalized doubles and dual pairs
Gaywalee Yamskulna, Chongying Dong.
Mathematische Zeitschrift, 241, 397-423, (2002)
Other
Vertex Operator Algebras and Related Areas (co-editor)
Gaywalee Yamskulna, Wenhua Zhao, Maarten Bergvelt.
Contemporary Mathematics/ American Mathematical Society, 497, 227 pages, (2009)
Presentations
On the Algebraic Structure of N- Graded Vertex Algebras
Gaywalee Yamskulna.
AMS sectional meeting in St. Louis-Special Session on Geometry, Representation Theory and Noncommutative Algebra, St. Louis, October 18, 2025
A Journey Through N-graded Vertex Algebras
Gaywalee Yamskulna.
CFT: Algebraic, Topological and Probabilistic approaches in the Conformal Field Theory conference, Orsay, France, September 23, 2025
Recent Developments in N-graded vertex algebras
Gaywalee Yamskulna.
Recent Developments in Logarithmic Conformal Field Theory workshop, Banff, Canada, July 24, 2025
On N-graded vertex algebras associated with Leibniz algebras
Gaywalee Yamskulna.
Vertex Operator Algebras and Related Toics, Chengdu, China, August 20, 2019
On Indecomposable N-graded Vertex Algebras
Gaywalee Yamskulna.
Representation XVI Conference, Dubrovnik, Croatia, June 28, 2019
Vertex Algebras
Gaywalee Yamskulna.
Workshop on Vertex Algebras, Bangkok, Thailand, March 26, 2019
On N-graded vertex operator algebras
Gaywalee Yamskulna.
Colloquium in Mathematics at Department of Mathematics and Computer Science, Bangkok, Thailand, March 25, 2019
From Lattices to Vertex Operator Algebras
Gaywalee Yamskulna.
International Conference on Discrete Mathematics and Applied Sciences, Bangkok, Thailand, June 22, 2014
Recent developments in the theory of shifted vertex operator algebra
Gaywalee Yamskulna.
Kyoto University, Japan, December 17, 2010
Recent developments in the theory of shifted vertex operator algebra
Gaywalee Yamskulna.
University of Southern California, Southern California, May 1, 2010
Rationality of the Vertex Algebra VL+ when L is a non-degenerate even lattice of arbitrary rank
Gaywalee Yamskulna.
Algebraic Geometry, Algebra and Number Theory seminar, Arlington, April 6, 2009
Rationality of the Vertex Algebra VL+ when L is a non-degenerate even lattice of arbitrary rank
Gaywalee Yamskulna.
American Mathematical Society meeting Special Session on Kac-Moody Algebras, Vertex Algebras, Quantum Groups and Applications, North Carolina, April 4, 2009
Classification of irreducible admissible $V_L^+$-modules when $L$ is an even lattice with a non-degenerate symmetric bilinear form
Gaywalee Yamskulna.
Algebra Seminar at Department of Mathematics, University of California at Santa Cruz, Santa Cruz, CA, November 19, 2007
Vertex Poisson Algebras associated with Courant Algebroids
Gaywalee Yamskulna.
American Mathematical Society meeting Special Session on the Theory of Infinite-dimensional Lie algebras, Vertex Operator Algebras and Related Topics, Bard College, New York, October 8, 2005
Modules of vertex algebras associated with vertex algebroids
Gaywalee Yamskulna.
Representation Theory Seminar, Online, March 16, 2005
Introduction to vertex operator algebras
Gaywalee Yamskulna.
Mathematical Sciences Colloquium, Thailand, August 6, 2004
The Monster, Moonshine and vertex operator algebras
Gaywalee Yamskulna.
Computational Sciences Seminar, Thailand, June 22, 2004
Lie algebras and vertex algebras associated with Lie algebroids
Gaywalee Yamskulna.
The Second East Asian Conference on Algebra and Combinatorics, Fukuoka, Japan, November 21, 2003
$C_2$-cofiniteness of vertex operator algebra $V_L^+$
Gaywalee Yamskulna.
Algebra Seminar, Online, May 16, 2003
$C_2$-cofiniteness of vertex operator algebra $V_L^+$
Gaywalee Yamskulna.
American Mathematical Society meeting Special Session on Representations of Infinite-dimensional Lie algebras, and Mathematical Physics, Bloomington, IN, April 5, 2003
The relationship between skew group algebras and orbifold theory
Gaywalee Yamskulna.
Algebra Seminar, Santa Cruz, CA, May 10, 2002
Vertex operator algebras and dual pairs
Gaywalee Yamskulna.
Algebra Seminar, Toronto, Canada, November 27, 2000