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., 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