Ethan Gwaltney
Doctoral Candidate
Department of Mathematics
Rice University
MS 136
6100 S. Main St.
Houston, TX 77005, USA
email: (first name).(last name)**at**rice.edu
CV
Degrees
Ph.D., Mathematics, Rice University, exp. 2023, advised by
Milivoje Lukić
M.A., Mathematics, Rice University, 2018
B.A.,
University Scholars
(Math & Philosophy), Baylor University, 2017
Interests
Direct and inverse spectral theory of self-adjoint Schrödinger and Dirac operators; summative assessment methodology in mathematics.
Research articles
[
arXiv:2203.12650
]
Limit-Periodic Dirac Operators with Thin Spectra
,
Journal of Functional Analysis,
2022 (with
B. Eichinger
,
J. Fillman
, M. Lukić)
[
arXiv2109.13402
]
Dirac Operators with Operator Data of Wigner-von Neumann Type
[
arXiv2012.12889
] Stahl-Totik Regularity for Dirac Operators (with B. Eichinger and M. Lukić)
Teaching
(
Selected syllabi linked)
FWIS 153: Introduction to Infinity. (Fall 2022)
COLL 300: Pedagogy for Student Instructors. (Fall 2021-Spring 2022)
MATH 211
: Ordinary Differential Equations & Linear Algebra.(Spring 2022)
MATH 355
: Linear Algebra. (Summer 2020)
MATH 211
: Ordinary Differential Equations & Linear Algebra. (Spring 2020)
MATH 355
: Linear Algebra. (Summer 2019)
Other publications
1.
A probabilistic proof of the Vitali covering lemma
(undergrad thesis with P. Hagelstein and D. Herden)