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 students 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 students. 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.