E-mail: likunx2@illinois.edu
I'm a Ph.D. student in mathematics at the University of Illinois at Urbana-Champaign. I'm currently working on number theory. I'm also interested in commutative algebra. Besides math, I play classical guitar.
Papers and Preprints
[1] Berndt, B. C., Xie, L., & Zaharescu, A. (2022). Proofs of McIntosh's Conjecture on Franel Integrals and Two Generalizations. Advances in Mathematics, 423, 109041, ISSN 0001-8708.
[2] Xie, L. (2023). On an instance of the small Cohen-Macaulay conjecture. Journal of Pure and Applied Algebra, 228(3), 107491.
[3] Berndt, B. C., Bhat, R., Meyer, J., Xie, L., Zaharescu, A. (2024). Theorems and Conjectures on an Arithmetic Sum Associated with the Classical Theta Function $\theta_3$ (in preparation).
[4] Xie, L. (2024). Negative real moments of restricted factors in arithmetic progression (in preparation).
Awards and Honors
Dr. Lois M. Lackner Mathematics Fellowship, University of Illinois at Urbana-Champaign, 2023-2025
Education
M.Sc. in Mathematics (Distinction), University of Warwick, Coventry, UK, 2018-2019
B.Sc.(Hons) in Mathematics and Physics (First Class), University of Manchester, Manchester, UK, 2016-2018