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
Additional Campus Affiliations
Professor, Mathematics
External Links
Recent Publications
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
Erdoğan, M. B., Goldberg, M., & Green, W. R. (2023). Counterexamples to Lp boundedness of wave operators for classical and higher order Schrödinger operators. Journal of Functional Analysis, 285(5), Article 110008. https://doi.org/10.1016/j.jfa.2023.110008
Erdoğan, M. B., & Green, W. R. (2022). The Lp-continuity of wave operators for higher order Schrödinger operators. Advances in Mathematics, 404, Article 108450. https://doi.org/10.1016/j.aim.2022.108450
Barron, A., Burak Erdogan, M., & Harris, T. L. J. (2021). Fourier decay of fractal measures on hyperboloids. Transactions of the American Mathematical Society, 374(2), 1041-1075. https://doi.org/10.1090/tran/8283