Erich C. Jauch, Ph.D.

This page contains information about my current research interests and activity.

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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(so_n) related to the realization for U(gl_n). 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.

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Papers

1. A study of Galois and flag orders (Thesis) [Abstract][PDF]
2. An Extension of U(gl_n ) Related to the Alternating Group and Galois Orders (Accepted in Journal of Algebra)

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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

• Presented a poster at Escolá de Algebra in Campinas, São Paulo, Brasil (Conference Homepage)[Poster]