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College of Liberal Arts & Sciences Department of Mathematics

Xiaochun Li

Profile picture for 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

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

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

Dong, D., Li, X., & Sawin, W. (2020). Improved estimates for polynomial Roth type theorems in finite fields. Journal d'Analyse Mathematique, 141(2), 689-705. https://doi.org/10.1007/s11854-020-0113-8

Li, X., & Wu, S. (2020). New estimates of the maximal Bochner–Riesz operator in the plane. Mathematische Annalen, 378(3-4), 873-890. https://doi.org/10.1007/s00208-020-02038-w

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College of Liberal Arts & Sciences Department of Mathematics

273 Altgeld Hall

1409 W. Green Street (MC-382)

Urbana, IL 61801

217-333-3350

Email: math@illinois.edu

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