# Faculty

## Elizabeth Gillaspy

*Assistant professor*

**Home Department:**Mathematical Sciences

**Office:**MATH 012

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

**Office Hours:**

For M 514: Tuesday 9-10 (in person); Friday 10-11 (via Zoom); or by appointment.

For M 307: Monday 11-12 (via Zoom); Tuesday 1-2 (via Zoom); Wednesday 10-11 (in person); Friday 2-3 (in person); or by appointment.

Curriculum Vitae

### Current Position

Assistant Professor

### Courses

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

### 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.

### Pedagogy Department Field

Mathematical Sciences

### Affiliations

Association for Women in Mathematics

American Mathematical Society

Mathematical Association of America