Likun Xie

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 research interests are in 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

Papers and Preprints

[9] Xie, L. (2026). Connectedness in Codimension One and the Non-S2 Locus. arXiv

[8] Xie, L. (2025). On a Conjecture of Erdős over Function Fields. arXiv

[7] Xie, L. (2025). Almost Prime Orders of Elliptic Curves modulo Prime Powers. arXiv

[6] Nath, K., Xie, L. (2024). Almost primes and primes that are sums of two squares plus one. (To appear in Acta Arithmetica.) arXiv

[5] Berndt, B. C., Xie, L. (2024). Identities for the product of Two Dirichlet Series Satisfying Hecke’s Functional Equation. Journal of Mathematical Analysis and Applications. arXiv | Journal

[4] Xie, L. (2024). Primes p such that p − b Has a Large Power Factor and Few Other Prime Divisors. arXiv

[3] Xie, L. (2024). Negative Real Moments of Restricted Factors in Arithmetic Progression. The Ramanujan Journal. Journal

[2] Xie, L. (2023). On an Instance of the Small Cohen–Macaulay Conjecture. Journal of Pure and Applied Algebra. arXiv | Journal

[1] Berndt, B. C., Xie, L., & Zaharescu, A. (2022). Proofs of McIntosh’s Conjecture on Franel Integrals and Two Generalizations. Advances in Mathematics. arXiv | Journal