Elizabeth Gillaspy
Associate Professor
Contact
- Office
- MATH 308
- Phone
- 243-4126
- elizabeth.gillaspy@mso.umt.edu
- Office Hours
On sabbatical, AY 2024-25. Please contact me by email.
- Curriculum Vitae
Education
I earned my Ph.D. in 2014 from Dartmouth College (Advisor: Erik van Erp).
I attended Macalester College (Saint Paul, MN) as an undergraduate.
I grew up north of Spokane, WA and graduated from Colville High School.
Courses Taught
Fall 2023:
M 307, Intro to Abstract Mathematics
M 473, Intro to Real Analysis
Spring 2023:
M 273, Multivariable Calculus
M 472, Intro to Complex Analysis
Fall 2022:
M 273, Multivariable Calculus
M 381, Advanced Calculus
Spring 2022:
M 172, Calculus II
M 564, Topics in Analysis: Graph C*-algebras
Fall 2021:
M 172, Calculus II
M 307, Introduction to Abstract Mathematics
Spring 2021:
M 307, Introduction to Abstract Mathematics
M 514, Topics in Applied Math: Analysis for Applied Mathematics
Fall 2020:
M 307, Introduction to Abstract Mathematics
M 381, Advanced Calculus
Spring 2020:
M 472, Introduction to Complex Analysis
Fall 2019:
M 273, Multivariable Calculus
M 473, Introduction to Real Analysis
Fall 2018:
M 172, Calculus II
M 551, Real Analysis (graduate)
HUSC 194, Freshman Seminar
Spring 2018:
M 564, Topics in Analysis "Graph C*-Algebras"
Fall 2017:
M 273, Multivariable Calculus
M 555, Functional Analysis
Projects
Conferences/workshops I have organized:
(16-20 June 2025)
): 2-week summer school aimed at first- or second-year graduate Ñý¼§Ö±²¥ interested in operator algebras
(10-14 March 2024): half-size workshop at Mathematisches Forschungsinstitut Oberwolfach (Germany)
Field of Study
My research interests lie primarily in the branch of known as operator algebras. In particular, I study the associated to topological groups, directed graphs, and their generalizations. In my PhD thesis, I studied what happens to the K-theory of the C*-algebra as I perturb the multiplication in the group(oid) C*-algebra via a 2-cocycle. Since finishing my PhD, I have also investigated other aspects of the structure of these C*-algebras, such as their representation theory, cohomology, KMS states, and Cartan subalgebras. There's often a lot of interplay between the structure of the C*-algebra and the structure of the group (or directed graph) you started from; this opens the door to research questions about graphs and groups that can often be tackled by undergraduate Ñý¼§Ö±²¥. Come talk to me if you'd like to learn more!
Affiliations
Association for Women in Mathematics
American Mathematical Society
Mathematical Association of America
International Experience
During my PhD, I spent a year visiting the in Madrid, Spain.
Before coming to UM, I held a one-year postdoctoral position at the in Münster, Germany.
Honors / Awards
Member, Pi Mu Epsilon.
Member, Phi Beta Kappa.