Our Faculty
Elizabeth Gillaspy
Associate Professor
Contact
- Office
- MATH 308
- Phone
- 243-4126
- elizabeth.gillaspy@mso.umt.edu
- Office Hours
For M 307: Monday 10-11; Tuesday 1-2; Friday 9-10; or by appointment.
For M 473: Monday 2-3; Tuesday 8:30 - 9:30; or by appointment.
- Curriculum Vitae
- View/Download CV
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
Field of Study
My research interests lie primarily in the branch of Functional Analysis known as Noncommutative Geometry, which attempts to study questions from geometry, topology, and physics by using the analytic and algebraic objects known as C*-algebras. (As you can see, the downside of studying something interdisciplinary is that you have to know the meanings of a lot more words!)
In my research, I build C*-algebras out of 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 begun to investigate the representation theory, cohomology, and vector bundles associated to these C*-algebras. 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
Honors / Awards
Member, Pi Mu Epsilon.
Member, Phi Beta Kappa.