**Symmetries and Darboux transformations
of the extended Toda hierarchy**, ICM
satellite conference on Algebras, Representations and Applications, Cusco,
Peru, Aug. 27-31, 2018

**Twisted logarithmic modules of lattice vertex algebras**, International conference on Affine, Vertex, and W-algebras,
INdAM, Rome, Italy, Dec. 11-15, 2017

**Lie algebras and integrable systems**, NCSU graduate recruitment
weekend, 02/27/2016

**Monstrous moonshine**, NCSU SUM Series,
10/01/2015

**Twisted logarithmic modules of vertex algebras**, International conference Representation Theory XIV, Dubrovnik,
Croatia, June 21-27, 2015

**Kac-Wakimoto**** hierarchies and W-constraints**, International conference “Symmetries in
Mathematics and Physics II,” IMPA, Rio de Janeiro, Brazil, June 24-28, 2013

**Reflection groups, root
systems, and singularities**, NCSU graduate recruitment
weekend, 02/24/2012

**Singularities, root
systems, and W-algebras**, Mathematics Colloquium, Louisiana State University, 02/18/2010

NCSU
SUM Series, 01/27/2010

Enloe High School Future Scientists Club, Raleigh, NC, 10/22/2009

*W***-constraints for simple singularities**, International workshop on
Quantized Algebra and Physics, Chern Institute of
Mathematic, Nankai University, China, July 23-26,
2009

**Vertex algebras in higher
dimensions**,
International conference on Vertex Operator
Algebras and Related Areas, Illinois State University, Normal, IL, 07/11/2008

**Non-linear generalizations
of the affine Lie algebra hat{sl}_2**, Mathematics Colloquium,
San Jose State University, CA, 04/30/2008

**Non-linear Lie conformal
algebras with three generators**, Workshop on Quantum Affine Lie Algebras, Extended Affine
Lie Algebras, and Applications, Banff International Research Station, Banff,
Canada, 03/06/2008

**Reconstructing a vertex
algebra in higher dimensions from its one-dimensional restriction**, Short communication in
Mathematical Physics at the International Congress of Mathematicians, Madrid,
Spain, 08/25/2006

**Vertex Lie algebras in
higher dimensions**,
Hermann Weyl prize lecture at the 26th International Colloquium on Group
Theoretical Methods in Physics, New York, 06/27/2006

** **

**Representations of the Lie pseudoalgebra W(d)**,
Special session on Infinite-Dimensional Lie Algebras, Vertex Operator Algebras,
and Related Topics at AMS meeting in Annandale-on-Hudson, NY, 10/08/2005