Jonas T. Hartwig, Ph.D.

Research

Current Interests

• Representation theory
  • Lie theory
  • reduction algebras
• Mathematical physics
  • field theory
  • supersymmetry

Grants

• Symmetry Algebras in Relative Representation Theory, funded by the Army Research Office grant W911NF-24-1-0058

Selected Recent Talks

• Slides for my talk Higher Spin Fields and Orthosymplectic Reduction Algebras, presented in the Special Session on Geometry, Representation Theory and Noncommutative Algebra at AMS meeting in St. Louis MO, Oct 18-19, 2025
• Spring 2024: Slides Differential Reduction Algebras
• May 5, 2022: Slides and video The Diagonal Reduction Algebra of the Lie Superalgebra 𝖔𝖘𝖕(1|2)

Teaching

Fall 2026

• MATH 3170 (Theory of Linear Algebra)
• Office Hours: Tue 4:10pm-5:00pm, Thu 11:00am-11:50am in Carver 470
• Past teaching

Mentees

• Agil Muradov (PhD expected Spring 2028)
• Sagar Shrivastava (Postdoc 2026-2028)
• Dustin Baker (PhD expected Spring 2027)
• Lillian Ryan Uhl (MSc Fall 2024)
• Dylan Fillmore (PhD Spring 2024)
• Jordan Disch (PhD Spring 2022)
• Dwight Anderson Williams II (Postdoc 2020-2021)
• Fox Hobart (MSc Summer 2021)
• O'Neill Kingston (PhD Spring 2020)
• Erich Jauch (PhD Spring 2020)

Notes

• Locally finite modules over commutative algebras
• Highest weight representations of the Virasoro algebra

Activities

• Algebra and Geometry Seminar
• The Sioson Collection

Recent and Upcoming Travel

• Universidad San Sebastián, January 2027
• QuaSy-Con IV (Conference on Quantum Symmetries in the Midwest), Illinois State University, May 23-24, 2026
• SUSY 2026, the University of Oklahoma, May 12-22, 2026
• Chalmers University of Technology, April 13 - May 5, 2026
• SUNY Polytechnic Institute, Nov 17 - 19, 2025
• Special Session on Geometry, Representation Theory and Noncommutative Algebra at AMS meeting in St. Louis MO, Oct 18-19, 2025

Recent Conferences Organized

• QuaSy-Con III, the third installment of the Quantum Symmetries Conference Series, Iowa State University, November 8-9, 2025.
• New Directions in Noncommutative Algebras and Representation Theory at the 2023 Fall Southeastern Sectional Meeting of the AMS at University of South Alabama, Mobile, AL, October 13–15, 2023
• Representation Theory, Geometry and Mathematical Physics at the 2023 Spring Central Sectional Meeting of the AMS at University of Cincinnati, Cincinnati, OH, April 15–16, 2023