Career •2021.12 - present: Teaching Associate Professor, ShanghaiTech University •2019.7 - 2021.12: Research Associate Professor, ShanghaiTech University •2016.7 - 2019.6: Research Assistant Professor, Academy of Mathematics and Systems Science, Chinese Academy of Sciences•2013.10 - 2016.6: Postdoctoral Fellow, Academy of Mathematics and Systems Science, Chinese Academy of Sciences Education •2008.9 – 2013.9: Graduate Student, Shanghai Jiaotong University •2004.9 – 2008.6: Undergraduate Student, Shanghai Jiaotong University Research Interest My research centers around problems in (analytic) number theory, which may be related to operator algebra, (discrete) dynamical system, combinatorics, theoretical physics and other branches of mathematics. Selected Publications [1] Non-commutative Arithmetics on Thompson's Monoid, Acta Math. Sin. (Engl. Ser.) 37 (2021), 1586-1626. [2] B. Xue, Asymmetric estimates and the sum-product problems, Acta Arithmetica, 198(2021), 289–311. [3] Eigenvalues of a Differential Operator and Zeros of the Riemann ζ-function, Anal. Theory Appl., 36 (2020), 283-294. (with Liming Ge, Xianjin Li and Dongsheng Wu) [4] Operator algebras associated with multiplicative convolutions of arithmetic functions, Science China Mathematics, 61(2018), 1665–1676. (with Aiju Dong and Linzhe Huang) [5] General divisor functions in arithmetic progressions to large moduli, Science China Mathematics, 59(2016), 1663-1668. (with Fei Wei and Yitang Zhang) [6] Rational points on cubic hypersurfaces that split off two forms, Bull. Lond. Math. Soc. 46(2014), 169-184. (with H. Dai) [7] Long arithmetic progressions in A+A+A with A a prime subset, J. Number Theory 132(2012), 1572-1582. (with Z. Cui and H. Li) Popularization of Mathematics [1] 千禧年大奖难题之始与未终，《数学文化》，11(2020), 65-74. (with Arthur Jaffe) [2] 黎曼ζ-函数的零点都有1/2 + it的形式吗?，《科学通报》Science 125个科学问题前沿解读，63(2018), 141-147 . (with 葛力明) |
Email: xuebq@shanghaitech.edu.cn Office: S517, School of Creativity & Arts |
