Contact Information
PhD Student
Research Interests
Harmonic Analysis, PDEs, and the application of Harmonic Analysis techniques to the study of dispersive PDEs. Main emphasis on qualitative properties as well as local well-posedness.
Education
Undergraduate, Ohio State (-19). 5th year graduate student at UIUC.
Courses Taught
- Math 231 (Calculus 2), Spring 2024
- Ranked 'Outstanding'a
- Math 231 (Calculus 2), Fall 2023
- Ranked 'Excellent'a
- Math 124 (Finite Mathematics), Spring 2022
- Instructor of Record
- Math 241H (Honors Calculus 3), Fall 2022
- Ranked 'Excellent'a
- Math 220 (Calculus), Fall 2020
- Ranked 'Outstanding'a
- Math 234 (Calculus for Business), Spring 2020
- Ranked 'Excellent'a
- Math 220 (Calculus 1), Spring 2019
Additional Campus Affiliations
- Climate, Equity, and Inclusion Committee, Department of Mathematics, Aug 2022-Aug 2023
- Graduate Student Representative
- Graduate Affairs Committee, Department of Mathematics, Aug 2021- Aug 2022
- Graduate Student Representative
- Graduate Analysis Seminar, Aug 2021-Aug 2022
- Organizer
- Math Alliance Scholar, Jul 2018-Present
Highlighted Publications
- Suengly Oh, Ryan McConnell, “On Local Well-posedness of the Periodic Korteweg-de Vries Equation Below H1/2(T),” Submitted.
- Ryan McConnell, "On Lattice Points, Short-Time Estimates, and Global Wellposedness of the Quintic NLS on T", Submitted.
- Ryan McConnell, “Wellposedness for the fifth order KdV in Bourgain Spaces,” Discrete and Continuous Dynamical Systems, 2024.
- M. Burak Erdogan, Chi N. Y. Huynh, Ryan McConnell, “Talbot effect or the Sphere and Torus for d>=2," Mathematische Zeitschrift 306(3):52, 2024.
- Ryan McConnell, “Global attractor for the periodic generalized KdV equation through smoothing,” Discrete and Continuous Dynamical Systems -- B, Volume 28, Issue 2, pp.1133–1158, 2023.
- Ryan McConnell, “Nonlinear smoothing for the periodic generalized nonlinear Schrodinger equation,” Journal of Differential Equations, Volume 241, pp:353–379, 2022.