Operator algebras provide a formal mathematical language for studying quantum mechanics. I am particularly interested in applications of operator algebras to quantum information theory, Cuntz–Krieger algebras, Cuntz–Pimsner algebras, unbounded derivations on C*-algebras, commutator relations, noncommutative geometry, and the classification of KMS states on C*-algebras…
Publications
- Babcock, E., Brindle, D., Hamidi, M., Ismert, L. Matricial Frameworks for the Mandelbrot and Filled Julia Sets. BSU Undergraduate Mathematics Exchange Vol. 17, No. 1. 118-133 (Fall 2023)
- Brannan, M., Hamidi, M., Ismert, L., Nelson, B. and Wasilewski, M. (2023), Quantum edge correspondences and quantum Cuntz–Krieger algebras. J. London Math. Soc., 107: 886-913.
- Anna Duwenig, Kari Eifler, Priyanga Ganesan, Lara Ismert, Sarah Plosker, and Karen Strung. “Operator Algebras Mentor Network: supporting early-career women researchers.” European Women in Maths (2022); available at: https://www.europeanwomeninmaths.org/operator-algebra/,
- Huang, Leonard & Ismert, Lara. (2020). The Covariant Stone-von Neumann Theorem for Actions of Abelian Groups on C*-Algebras of Compact Operators. Communications in Mathematical Physics. 10.1007/s00220-019-03664-5.
- Ismert, Lara, Analyticity and kernel stabilization of unbounded derivations on C*-algebras. New York Journal of Mathematics 25 (2019), 914-933.
- Ismert, Lara, Unbounded Derivations of C*-Algebras and the Heisenberg Commutation Relation (2019). ETD collection for University of Nebraska – Lincoln. AAI13862300.
SELECTED TALKS
| Conference / Seminar | Slides | Date |
|---|---|---|
| *AWM Chapter Meeting, Michigan State U. | October 28, 2024 | |
| *Operator Algebras Reading Seminar, Michigan State U. | October 28, 2024 | |
| 2024 Great Plains Operator Theory Symposium | Slides | June 4, 2024 |
| *Nebraska-Iowa Functional Analysis Seminar, U. Nebraska, Lincoln, NE | March 24-26, 2023 | |
| *Purdue University Operator Algebras Seminar (Virtual) | January 31, 2023 | |
| *AMS Special Session on Advances in Operator Algebras, Joint Math Meetings 2023, Boston, MA | Slides | January 7, 2023 |
| *MSRI Special Session on Dynamics and Operator Algebras, Joint Math Meetings 2023, Boston, MA | Slides | January 6, 2023 |
| *East Coast Operator Algebras Symposium, Michigan State U., Lansing, MI | Slides | October 23, 2022 |
| *Michigan State U. Math Physics and Operator Algebra Seminar | September 13, 2022 | |
| *Noncommutative Geometry and Operator Algebras Seminar, University of Wollongong, Wollongong, Australia | March 2, 2022 | |
| *Analysis Seminar, University of Waterloo, Waterloo, Ontario | December 8, 2021 | |
| *Brazos Analysis Seminar Fall 2021 (Virtual) | November 13-14, 2021 | |
| *Groundwork for Operator Algebras Lecture Series, Michigan State University, East Lansing, MI | Notes | July 23, 2021 |
| Canadian Operator Symposium (Virtual) | June 1, 2021 | |
| *Actions of Tensor Categories on C*-algebras – IPAM Workshop | Jan 27, 2021 | |
| *Michigan State U. Math Physics and Operator Algebra Seminar | Nov 30, 2020 | |
| *Prague Noncommutative Geometry and Topology Seminar | Video | Nov 10, 2020 |
| *Arizona State University C*-Seminar | Notes | Sept 16, 2020 |
| Zagreb Workshop on Operator Theory 2020 | Video | June 29, 2020 |
| *Joint Math Meetings 2020, Denver, CO AMS Special Session on Advances in Operator Algebras | Slides | Jan 17, 2020 |
| *Joint Math Meetings 2020, Denver, CO AMS Special Session on C*-algebras, Dynamical Systems, & Applications | Slides | Jan 16, 2020 |
| *AMS Fall Western Sectional, Riverside, CA AMS Special Session on Advances in Operator Algebras | Nov 9, 2019 | |
| *Vanderbilt Subfactor Seminar, Nashville, TN | Notes | Apr 12, 2019 |
| *UT Tyler Math Club, University of Texas at Tyler, Tyler, TX | Slides | Feb 18, 2019 |
| Joint Math Meetings 2019, Baltimore, MD MAA Special Session for Women Math Warriors-(EDGE) | Jan 17, 2019 | |
| *AMS Fall Western Sectional, San Francisco, CA Special Session on NCG and Fundamental Applications | Oct 27, 2018 | |
| *Brazos Analysis Seminar, Texas A&M University, TX | Slides | Sept 29, 2018 |
| Young Mathematicians in C*-algebras, KU Leuven, Belgium | Aug 14, 2018 | |
| Young Women in C*-algebras, KU Leuven, Belgium | Aug 12, 2018 | |
| Great Plains Operator Theory Symposium, Miami University, OH | May 29, 2018 | |
| Wayne State College Math Club, Wayne, NE | Notes | Mar 29, 2018 |
| *Joint Math Meetings 2018, San Diego, CA Special Session on Advances in Operator Algebras | Jan 12, 2018 | |
| *Iowa-Nebraska Functional Analysis Seminar, Des Moines, IA | Nov 11, 2017 |
