Contact Information
347 Illini Hall, MC-382
1409 W. Green Street
Urbana, IL 61801
Research Description
Harmonic Analysis, Dispersive PDE
Education
PhD Mathematics, Caltech, 2001
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