Tom Peebles
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Mail code: 2780Campus: Poly
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Thomas Peebles is an Instructor in the School of Applied Sciences and Arts within the College of Integrative Sciences and Arts at Arizona State University. He earned his doctorial degree in Functional Analysis from the University at Albany - State University of New York in December of 2020. He has also completed a master's degree in Complex Analysis from San Francisco State University in 2015.
Dr. Peebles' current research interests are in multivariate spectral theory. His primary object of investigation is the projective joint spectrum with ties to other fields of mathematics as well. One of the primary questions investigated is under what circumstances does the projective joint spectrum imply the rigidity of particular representations of groups. This has lead to connections to Coxeter groups and cyclic matrices associated to Toeplitz operators and Hadammard matrices shown in joint papers with Professor Michael Stessin.
- Ph.D. Functional Analysis, University at Albany- SUNY, Albany, NY 2020.
- M. Sc. Complex Analysis, San Francisco State University, San Francisco, CA 2015.
Dr. Peebles current research interests are in functional analysis and operator theory. In particular, I am interested in multivariable spectral theory for non-commuting operators. The primary object of investigation in most of my work is the projective joint spectrum and what the geometry of this spectrum tells us about the associated tuples of linear operators.
Current projects with the projective joint spectrum include ties to representation theory, complex analysis, Finsler geometry, and complex analytic sets.
Courses
2026 Spring
| Course Number | Course Title |
|---|---|
| MAT 266 | Calculus for Engineers II |
| MAT 266 | Calculus for Engineers II |
| MAT 267 | Calculus for Engineers III |
| MAT 310 | Introduction to Geometry |
| MAT 267 | Calculus for Engineers III |
| MAT 310 | Introduction to Geometry |
2025 Fall
| Course Number | Course Title |
|---|---|
| MAT 267 | Calculus for Engineers III |
| MAT 300 | Mathematical Structures |
| MAT 243 | Discrete Math Structures |
| MAT 266 | Calculus for Engineers II |
| MAT 267 | Calculus for Engineers III |
2025 Summer
| Course Number | Course Title |
|---|---|
| MAT 265 | Calculus for Engineers I |
| MAT 300 | Mathematical Structures |
| MAT 310 | Introduction to Geometry |
| MAT 265 | Calculus for Engineers I |
2025 Spring
| Course Number | Course Title |
|---|---|
| MAT 243 | Discrete Math Structures |
| MAT 266 | Calculus for Engineers II |
| MAT 267 | Calculus for Engineers III |
| MAT 267 | Calculus for Engineers III |
| MAT 310 | Introduction to Geometry |
2024 Fall
| Course Number | Course Title |
|---|---|
| MAT 267 | Calculus for Engineers III |
| MAT 300 | Mathematical Structures |
| MAT 243 | Discrete Math Structures |
| MAT 266 | Calculus for Engineers II |
| MAT 267 | Calculus for Engineers III |
2024 Summer
| Course Number | Course Title |
|---|---|
| MAT 265 | Calculus for Engineers I |
| MAT 300 | Mathematical Structures |
| MAT 310 | Introduction to Geometry |
2024 Spring
| Course Number | Course Title |
|---|---|
| MAT 266 | Calculus for Engineers II |
| MAT 267 | Calculus for Engineers III |
| MAT 265 | Calculus for Engineers I |
| MAT 267 | Calculus for Engineers III |
| MAT 310 | Introduction to Geometry |
2023 Fall
| Course Number | Course Title |
|---|---|
| MAT 266 | Calculus for Engineers II |
| MAT 210 | Brief Calculus |
| MAT 170 | Precalculus |
| MAT 266 | Calculus for Engineers II |
| MAT 170 | Precalculus |