This page contains information about my current research interests and activity.
Research Interests
My main interests fall under the wide umbrella of representation theory of Lie algebras. This leads me to spending a majority of my time working with enveloping algebras and their deformations.
I am currently working with Jonas Hartwig to describe a Galois or Flag order realization of U(son) related to the realization for U(gln). I am also interested in Galois/Flag orders related to the Alternating group. As most work in the field is focused on complex reflection groups, there are many interesting unexplored directions for non-reflection groups.
You can find an in-depth discussion of my current research in my research statement.
Papers
- A study of Galois and flag orders (Thesis) [Abstract][PDF]
- An Extension of U(gln ) Related to the Alternating Group and Galois Orders (Accepted in Journal of Algebra)
Conferences & Presentations
Spring 2021
- Invited talk at the AMS Southeastern Spring Sectional Meeting
Spring 2020
- Attended the Conference on Lie and Jordan Algebras, Their Representations and Applications in Chengdu, Sichuan, China (Conference Homepage)
Fall 2019
- Inivited talk at the University of Iowa Algebra Seminar [Slides]
- Invited talk at the University of Texas at Arlington AGANT Seminar [Slides]
- Invited talk at the University of South Alabama Mathematics Colloquium [Slides]
- Invited talk at the St. Olaf College Mathematics Research Seminar [Slides]
- Presented at the AMS Central Fall Sectional Meeting in the Contributed Paper Session [Slides]
Summer 2019
- Attended MSRI Summer School 850 - "Representation Stability" (Course Homepage)
Spring 2019
- Presented at the AMS Southeastern Spring Sectional Meeting in the Special Session on Geometric and Combinatorial Aspects of Representation Theory (Abstract) [Slides]
- Attended Mini-Course at the Atlantic Algebra Centre St. John's, Newfoundland, Canada (Course Homepage)
Fall 2018