Giorgio Young
NSF Postdoctoral Fellow
Department of Mathematics
University of Michigan
Contact Information
Office: 1846, East Hall
E-mail: gfyoung (at) umich (dot) edu
Mailing address: East Hall, 530 Church St, Ann Arbor, MI 48109
I am currently an NSF Postdoctoral Fellow at the University of Michigan. I received my PhD from Rice University, where my advisor was Milivoje Lukić.
Research Interests
Spectral theory of discrete and continuous Schrödinger operators; integrable PDE.
Papers
Optimal dispersion for Discrete Periodic Schrödinger Operators
(with D. Damanik, J. Fillman )
[arXiv]
Rigorous Methods for Bohr-Sommerfeld Quantization Rules
(with J. Dong, P. D. Miller )
[arXiv]
A Weyl Matrix Perspective on Unbounded Non-Self-Adjoint Jacobi Matrices
(with B. Eichinger, M. Lukić )
[arXiv]
What is Ballistic transport?
(with D. Damanik, T. Malinovitch)
J. Spectr. Theory (2024), [arXiv]
Directional Ballistic transport for partially periodic Schrödinger operators
(with A. Black, D. Damanik, T. Malinovitch )
[arXiv]
Ballistic transport for limit-periodic Schrödinger operators in one dimension
J. Spectr. Theory 13 (2023), 451-489 [arXiv]
Asymptotics of Chebyshev rational functions with respect to subsets of the real line (with B. Eichinger, M. Lukić)
Constr. Approx. 59 (3), 541-581 [arXiv]
Orthogonal rational functions with real poles, root asymptotics, and GMP matrices
(with B. Eichinger, M. Lukić)
Trans. Amer. Math. Soc. Ser. B 10 (2023), 1-47 [arXiv]
Uniqueness of solutions of the KdV-hierarchy via Dubrovin-type flows (with M. Lukić)
J. Funct. Anal. 279 (2020), 108705
[arXiv]
Teaching
Math 419- Linear Spaces and Matrix Theory (Instructor, 2 sections)-Fall 2024- University of Michigan
Math 217- Linear Algebra (Instructor, 2 sections)-Spring 2023- University of Michigan
Math 115- Calculus 1 (Instructor, 2 sections)-Fall 2022- University of Michigan
Math 212 - Multivariable Calculus (Instructor) - Fall 2019- Rice University
Math 212 - Multivariable Calculus (Instructor) - Summer 2019-Rice University