Xiaochun Li

Xiaochun Li

Contact Information

Mathematics
235 Illini Hall, M/C 382
1409 W. Green Street
Urbana, IL 61801
Professor

Research Interests

Hilbert transform along the vector field; Multilinear oscillatory integrals; multilinear Carleson theorem.

Research Description

Harmonic Analysis

Education

Ph.D. 2001, University of Missouri at Columbia

Additional Campus Affiliations

Professor, Mathematics

Recent Publications

Fang, S., He, D., & Li, X. (2026). Maximal cone multipliers: sharp Lp estimates in R3 and beyond. Mathematische Annalen, 395(3), Article 64. https://doi.org/10.1007/s00208-026-03495-5

Chen, P., He, D., Li, X., & Yan, L. (2025). On pointwise convergence of cone multipliers. Journal of Functional Analysis, 288(9), Article 110853. https://doi.org/10.1016/j.jfa.2025.110853

Li, X. (2025). A Remark on Stein–Tomas Type Restriction Theorems. Acta Mathematica Sinica, English Series, 41(1), 122-130. https://doi.org/10.1007/s10114-025-3525-7

Meng, L.-J., Zannoni, E. M., & Lai, X. (2022). Gamma camera for SPECT imaging and associated methods. (U.S. Patent No. 11269084).

Chen, X., Guo, J., & Li, X. (2021). Two bipolynomial Roth theorems in R. Journal of Functional Analysis, 281(2), Article 109024. https://doi.org/10.1016/j.jfa.2021.109024

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