CV
Education
- Ph.D in Mathematics, Vanderbilt University, 2022
- Dissertation Topic: Angle Operators of Commuting Square Subfactors
- Advisor: Dietmar Bisch
- B.S. in Mathematics, Vanderbilt University, 2017
Work experience
- Research Associate *Dartmouth College 2022-present
Skills
- Matlab
- Onshape
- 3D printing
Publications
M. Montgomery. The spectrum of spin model angle operators. Preprint, arXiv:2110.06720, 2021.
M. Montgomery, Colored planar algebras for commuting squares and applications to Hadamard subfactors. Journal of Functional Analysis 285(5), 2023.
S. Das, D. Giannakis, and M. Montgomery. Correction to: On harmonic Hilbert spaces on compact abelian groups. Journal of Fourier Analysis and Applications, 29(6):67, 2023.
D. Giannakis, and M. Montgomery. An algebra structure for reproducing kernel Hilbert spaces. arXiv:2401.01295, 2024.
D. Giannakis, M. Jebelli, M. Montgomery, P. Pfeffer, J. Schumacher, J. Slawinska. Tensor network approximation of Koopman operators. arxiv:2407.07242, 2024.
Talks
Spin model subfactors, Subfactor seminar, Vanderbilt University. (October 2021)
Spin model subfactors, Algebra/combinatorics/geometry/topology seminar, Loyola University, Chicago. (on zoom in October 2021)
Spin model subfactors, Virtual quantum symmetry seminar, Ohio State University, Columbus OH. (on zoom in November 2021)
Spin model subfactors, Analysis Seminar, University of Tennessee, Knoxville TN. (December 2021)
Introduction to subfactors and quantum symmetries of Hadamard matrices, Functional Analysis Seminar, Dartmouth, Hanover NH. (October 2022)
Building finite dimensional representations of fusion algebras with biunitaries, East Coast Operator Algebras Symposium, Michigan State University, Lansing MI. (October 2022)
A category of reproducing kernel Hilbert spaces, Functional analysis Seminar, Dartmouth, Hanover NH. (September 2023).
An algebra structure for reproducing kernel Hilbert spaces, JMM, San Fransisco. (January 2024).
Colored planar algebras for commuting squares and applications to Hadamard subfactors, GPOTS, Lincoln NE. (June 2024).
Teaching
Fall 2016 Teaching Assistant, Calculus I
Spring 2017 Teaching Assistant, Number Theory
Fall 2018 Teaching Assistant, Calculus II
Spring 2019 Teaching Assistant, Calculus II
Fall 2019 Teaching Assistant, Calculus I
Spring 2020 Instructor, Calculus II
Fall 2020 Teaching Assistant, Calculus I
Spring 2021 Instructor, Calculus II
Fall 2021 Teaching Assistant, Calculus I
Fall 2022 Instructor Math 11(Accelerated Multivariable Calculus)
Fall 2023 Instructor Math 11(Accelerated Multivariable Calculus)
Service and leadership
2018-2020 Organizer for the Undergraduate Mathematics Seminar at Vanderbilt University
2019-2022 Mentor for the Directed Reading Program at Vanderbilt University
2024 Mentor for the Directed Reading Program at Dartmouth College
2024 Co-Organizer for the Functional Analysis Seminar at Dartmouth College
2024 Reviewer for the International Journal of Mathematics