Contact Information
1409 W. Green Street
Urbana, IL 61801
Research Description
Harmonic Analysis, Dispersive PDE
Education
PhD Mathematics, Caltech, 2001
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
Erdoğan, M. B., Goldberg, M., & Green, W. R. (2025). Dispersive estimates for higher order Schrödinger operators with scaling-critical potentials. Mathematische Annalen, Article 110008. Advance online publication. https://doi.org/10.1007/s00208-025-03146-1
Erdoğan, M. B., Green, W. R., & LaMaster, K. (2025). Lp-CONTINUITY OF WAVE OPERATORS FOR HIGHER ORDER SCHRÖDINGER OPERATORS WITH THRESHOLD EIGENVALUES IN HIGH DIMENSIONS. Discrete and Continuous Dynamical Systems- Series A, 45(9), 3258-3274. https://doi.org/10.3934/dcds.2025019
Burak Erdoğan, M., & Tzirakis, N. (2024). Smoothing Estimates for Weakly Nonlinear Internal Waves in a Rotating Ocean. Journal of Mathematical Physics, Analysis, Geometry, 20(4), 405-422. https://doi.org/10.15407/mag20.04.01
Erdoğan, M. B., Huynh, C. N. Y., & McConnell, R. (2024). Talbot effect on the sphere and torus for d≥2. Mathematische Zeitschrift, 306(3), Article 52. https://doi.org/10.1007/s00209-024-03447-2
Erdoğan, M. B., & Green, W. R. (2023). A note on endpoint Lp-continuity of wave operators for classical and higher order Schrödinger operators. Journal of Differential Equations, 355, 144-161. https://doi.org/10.1016/j.jde.2023.01.028