徐文强

个人简介

研究兴趣

• 数论：数论的解析、组合与概率方面
• 组合数学：加性组合学与概率组合学
• 概率论：乘性混沌；随机多项式；马尔可夫链的混合时间

教育经历

• 2019 - 2024 | 斯坦福大学数学系 | 数学 | 哲学博士 | (Supervisor: Kannan Soundararajan 教授、Jacob Fox 教授)
• 2018 - 2019 | 剑桥大学三一学院 | 数学 | 理学硕士 | (Supervisor: Péter Varjú 教授)
• 2015 - 2018 | 伦敦大学学院 | 数学 | 理学学士 | (Supervisor: Andrew Granville 教授)

工作经历

• 2026 - -- | 清华大学丘成桐数学科学中心及北京雁栖湖应用数学研究院 | 副教授
• 2024 - 2026 | 纽约大学柯朗数学科学研究所 | 西蒙斯青年研究员

荣誉与奖项

• 2026 | 国际基础科学大会创新学者奖
• 2025 | 奥伯沃尔法赫青年研究员
• 2025 | 入选《科学美国人》评选的2025 全球十大数学突破
• 2024 | 西蒙斯青年奖学金（西蒙斯基金会） | 2024 年度共2 位数学方向青年学者入选
• 2018 | 剑桥大学三一学院海外学生奖学金

出版物

• [1] Y Jing, C Pohoata, MW Xu, Roth-type theorems in $K_{s,t}$ -free sets, arXiv, 2601.18738 (2026)
• [2] J Ma, Q Tang, MW Xu, Almost Affine Invariance Over Prime Fields: Green Problem 90, arXiv, 2605.13454 (2026)
• [3] MW Xu, Escaping Chaos in Random Multiplicative Functions, arXiv, 2605.21737 (2026)
• [4] V Wang, M Xu, Average sizes of mixed character sums, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 1-15 (2026)
• [5] PP Varjú, MW Xu, A random polynomial with multiplicative coefficients is almost surely irreducible, International Mathematics Research Notices, 2026(16), rnag178 (2026)
• [6] AJ Harper, K Soundararajan, MW Xu, Distribution of random multiplicative functions in short intervals, with proper normalization, arXiv, 2606.29040 (2026)
• [7] S Hardy, MW Xu, Character sums over smooth numbers, arXiv, 2607.00592 (2026)
• [8] R de la Bretèche, VY Wang, MW Xu, Random Multiplicative Functions and Making Squares from Polynomial Values, arXiv, 2607.06398 (2026)
• [9] R Angelo, MW Xu, A Polynomial with a Root Modfor Everyhas a Real Root, The American Mathematical Monthly, 132(9), 918-925 (2025)
• [10] A Wang, M Xu, R Goel, Z Shabeeb, I Panicker, V Jamali, SAM-EM: Real-Time Segmentation for Automated Liquid Phase Transmission Electron Microscopy, arXiv, 2501.03153 (2025)
• [11] VY Wang, MW Xu, Harper’s beyond square-root conjecture, International Mathematics Research Notices, 2025(18), rnaf279 (2025)
• [12] S Hardy, MW Xu, Helson's conjecture for smooth numbers, arXiv, 2511.03430 (2025)
• [13] N Kravitz, K Woo, MW Xu, The distribution of prime values of random polynomials, arXiv, 2512.03292 (2025)
• [14] W Xu, Arithmetic Structure and Dependent Randomness, Stanford University (2024)
• [15] J Fox, MW Xu, Y Zhou, Discrepancy of arithmetic progressions in grids, Mathematika, 70(1), e12237 (2024)
• [16] MW Xu, D Yang, Extreme values of Dirichlet polynomials with multiplicative coefficients, Journal of Number Theory, 258, 173-180 (2024)
• [17] VY Wang, MW Xu, Paucity phenomena for polynomial products, Bulletin of the London Mathematical Society, 56(8), 2718-2726 (2024)
• [18] M Pandey, VY Wang, MW Xu, Partial sums of typical multiplicative functions over short moving intervals, Algebra & Number Theory, 18(2), 389-408 (2024)
• [19] R Angelo, MW Xu, Oscillations of random multiplicative functions under initial bias, arXiv, 2411.14447 (2024)
• [20] O Klurman, ID Shkredov, MW Xu, On the random Chowla conjecture: O. Klurman et al., Geometric and Functional Analysis, 33(3), 749-777 (2023)
• [21] J He, H Tuan Pham, M Wenqiang Xu, Universality for low-degree factors of random polynomials over finite fields, International Mathematics Research Notices, 2023(17), 14752-14794 (2023)
• [22] R Angelo, MW Xu, On a Turán conjecture and random multiplicative functions, The Quarterly Journal of Mathematics, 74(2), 767-777 (2023)
• [23] MW Xu, Better than square-root cancellation for random multiplicative functions, arXiv, 2303.06774 (2023)
• [24] K Soundararajan, MW Xu, Central limit theorems for random multiplicative functions, Journal d'Analyse Mathématique, 151(1), 343-374 (2023)
• [25] MW Xu, Y Zhou, On product sets of arithmetic progressions, arXiv, 2201.00104 (2022)
• [26] J Fox, MW Xu, Y Zhou, Discrepancy in modular arithmetic progressions, Compositio Mathematica, 158(11), 2082-2108 (2022)
• [27] O Klurman, ID Shkredov, MW Xu, On the random Chowla conjecture. arXiv e-prints, page, arXiv, 2202.08767 (2022)
• [28] J He, HT Pham, MW Xu, Mixing time of fractional random walk on finite fields, Electronic Journal of Probability, 27, 1-15 (2022)
• [29] J Fox, X He, S Luo, MW Xu, Multicolor list Ramsey numbers grow exponentially, 2022 Fall Western Sectional Meeting (2022)
• [30] Q Dubroff, J Fox, MW Xu, A note on the Erdos distinct subset sums problem, SIAM Journal on Discrete Mathematics, 35(1), 322-324 (2021)
• [31] HT Pham, MW Xu, Irreducibility of random polynomials of bounded degree, arXiv, 2002.10554 (2020)
• [32] X Shao, W Xu, A robust version of Freiman's 3k–4 Theorem and applications, Mathematical Proceedings of the Cambridge Philosophical Society, 166(3), 567-581 (2019)
• [33] MW Xu, Arithmetic properties of random polynomials, University of Cambridge (2019)
• [34] W Xu, Popular differences and generalized Sidon sets, Journal of Number Theory, 186, 103-120 (2018)
• [35] N Kravitz, K Woo, MW Xu, Averaging is OP for Bateman–Horn-type problems, 2026 Joint Mathematics Meetings (JMM 2026)
• [36] MW Xu, R Angelo, K Soundararajan, Two stories about being positive for multiplicative functions, 2024 Fall Southeastern Sectional Meeting-CANCELLED
• [37] MW Xu, K Soundararajan, R Angelo, A Harper, Recent progress on random multiplicative functions and applications, 2024 Joint Mathematics Meetings (JMM 2024)
• [38] MW Xu, Q Dubroff, J Fox, On Erdős distinct subset sums problem, 2024 Joint Mathematics Meetings (JMM 2024)
• [39] MW Xu, R Angelo, K Soundararajan, Random multiplicative functions and deterministic applications, 2023 Fall Central Sectional Meeting