Yakun Xi
Visiting Assistant Professor
Office  1019 Hylan Building 
Phone:  (585) 2754419 
Fax:  (585) 2734655 
Email:  yxi4 at math dot rochester period edu 
Office hours
 MW 5:006:00 pm
Courses Iām teaching this semester
Research Interest
Harmonic analysis: KakeyaNikodym problems, eigenfunction estimates.
Publications and Preprints

On KakeyaNikodym maximal inequalities, Transaction of American Mathematical Society 369 (2017), 63516372.

Bilinear KakeyaNikodym averages of eigenfunction on compact Riemannian surfaces, (with C. Miao, C. D. Sogge and J. Yang), Journal of Functional Analysis, (2016) 271: 2752.

Improved critical eigenfunction restriction estimates on Riemannian surfaces with nonpositive curvature, (with C. Zhang), Communications in Mathematical Physics, (2017) 350: 1299.

Geodesic period integrals of eigenfunctions on Riemannian surfaces and the GaussBonnet Theorem, (with C. D. Sogge and C. Zhang), Cambridge Journal of Mathematics, (2017) 5: 123.

On instability of the Nikodym maximal function bounds over Riemannian manifolds, (with C. D. Sogge and H. Xu), Journal of Geometric Analysis, (2018) 28(3): 28862901..

An endpoint version of uniform resolvent estimate for the Laplacian, (with T. Ren and C. Zhang), to appear in Forum Mathematicum, (2018) 30(5): 12791289.

Inner product of eigenfunctions over curves and generalized periods for compact Riemannian surfaces, to appear in Journal of Geometric Analysis.

Improved generalized periods estimates on Riemannian surfaces with nonpositive curvature, preprint, arXiv:1711.09864.

Improved generalized periods estimates over curves on Riemannian surfaces with nonpositive curvature, (with E. Wyman), preprint, arXiv:1807.00041.

ā^2 Decoupling in ā^2 for curves with vanishing curvature, (with C. Biswas, M. Gilula, L. Li and J. Schwend), preprint, arXiv:1812.04760.