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# Faculty

## Elizabeth Gillaspy

*Assistant professor*

**Office:**MATH 012

**Email:**elizabeth.gillaspy@mso.umt.edu

**Office Hours:**

Mondays 11-12; Tuesdays 12-1; or by appointment.

Curriculum Vitae

### Current Position

Assistant Professor

### Courses

Spring 2018: MATH 564, Topics in Analysis "Graph C*-Algebras"

Fall 2017:

MATH 273, Multivariable Calculus

MATH 555, Functional Analysis

### 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.

### 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!

### Honors

Member, Pi Mu Epsilon.

Member, Phi Beta Kappa.

### Affiliations

Association for Women in Mathematics

American Mathematical Society

Mathematical Association of America