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Xiaochun Li

Profile picture for Xiaochun Li

Contact Information

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

Research Interests

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

Research Description

Harmonic Analysis


Ph.D. 2001, University of Missouri at Columbia

Additional Campus Affiliations

Professor, Mathematics

Recent Publications

Chen, X., Guo, J., & Li, X. (2021). Two bipolynomial Roth theorems in R. Journal of Functional Analysis, 281(2), Article 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.

Li, X., & Wu, S. (2020). New estimates of the maximal Bochner–Riesz operator in the plane. Mathematische Annalen, 378(3-4), 873-890.

Du, X., & Li, X. (2019). lp decoupling for restricted k-broadness. Mathematische Zeitschrift, 292(1-2), 725-737.

Dong, D., & Li, X. C. (2018). On a hybrid of bilinear Hilbert transform and paraproduct. Acta Mathematica Sinica, English Series, 34(1), 29-41.

View all publications on Illinois Experts