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

1. [arXiv:2203.12650] Limit-Periodic Dirac Operators with Thin Spectra, Journal of Functional Analysis, 2022 (with B. Eichinger, J. Fillman, M. Lukić)
2. [arXiv2109.13402] Dirac Operators with Operator Data of Wigner-von Neumann Type
3. [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)