E-mail: xie@mpim-bonn.mpg.de
I am a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn. I completed my Ph.D. at the University of Illinois Urbana–Champaign in May 2025. My general area is number theory, especially problems with algebraic, combinatorial, and arithmetic-geometric aspects. I am also interested in homological questions and local cohomology in commutative algebra. CV
L. Xie. Products of Prime Ideals in Ray Class Groups (2026). arXiv
L. Xie. Connectedness in Codimension One and the Non-S2 Locus (2026). arXiv
L. Xie. On a Conjecture of Erdős over Function Fields (2025). Mathematische Zeitschrift. Journal
L. Xie. Almost Prime Orders of Elliptic Curves modulo Prime Powers (2025). arXiv
K. Nath and L. Xie. Almost primes and primes that are sums of two squares plus one (2024). Acta Arithmetica. arXiv | Journal
B. C. Berndt and L. Xie. Identities for the Product of Two Dirichlet Series Satisfying Hecke’s Functional Equation (2024). Journal of Mathematical Analysis and Applications. Journal
L. Xie. Primes p such that p − b Has a Large Power Factor and Few Other Prime Divisors (2024). arXiv
L. Xie. Negative Real Moments of Restricted Factors in Arithmetic Progression (2024). The Ramanujan Journal. Journal
L. Xie. On an Instance of the Small Cohen–Macaulay Conjecture (2023). Journal of Pure and Applied Algebra. arXiv | Journal
B. C. Berndt, L. Xie, and A. Zaharescu. Proofs of McIntosh’s Conjecture on Franel Integrals and Two Generalizations (2022). Advances in Mathematics. arXiv | Journal