一、个人简介

教育经历：

1978.9 - 1982.2

理学｜学士 南京大学

1984.9 - 1988.8

数学｜博士 美国西北大学

主要研究方向

横跨数学动⼒系统与遍历论、天⽂学的太阳系⾏星动⼒学以及⼈⼯智能与机器学习算法等领域。主要成果包括在博⼠期间便突破性地解决了困扰数学界百年的 Painlevé 猜测；近年发现了数亿年前曾有流浪⾏星经过太阳系，与⽊星发⽣过近距离接触；最近，夏志宏创⽴了基于数学原理的全新机器学习算法，⼤幅提升了计算速度和精度，预示着这⼀算法在⼤模型等⼈⼯智能前沿应⽤中将具有重要潜⼒。

二、学术/研究成果综述

Mathematics (Dynamical Systems, Hamiltonian Dynamics):

Solved the Painlev´e Conjeture, a century old mathematics problem proposed by French mathematician (and twice Prime Minister of France) Paul Painlev´e.

Astronomy (Dynamicsevolution of Solar System):

In collaboration with Jian Li, discovered strong evidence suggesting that a

large rogue planet once flew by the solar system more than 300 million years

ago, causing Jupiter to move outward by 0.12 astronomical units.

Computational Algorithms (Machine LearningArtificial Intelligence):

Introduced new machine learning algorithms inspired by pure mathematics,

the algorithm effectively improved the accuracyspeed in many AI applications by several orders of magnitiude.

三、代表性论著

• Xia, Z., The existence of noncollision singularities in Newtonian systems. Ann. of Math. (2) 135 (1992), no. 3, 411–4681

• Resonant amplitude distribution of the Hilda asteroidsthe freefloating planet flyby scenario (J. Li, Z. Xia, et al), Icarus, Vol 425, No1, 2025.

• Asymmetry in the number of L4L5 Jupiter Trojans driven by

jumping Jupiter ( J. Li, Z. Xia, et el), AstronomyAstrophysics,

669, A68(2023)

• From Kolmogorof to Cauchy: Shallow XNet surpasses KANs (X. Li,Z. Xia, X. Zheng), Neural Information Processing Systems (NeurIPS), San Diego, 2025

• Cauchy activation functionXNet (X. Li, Z. Xia, H. Zhang) J.

Neural Networks, Volume 188, 2025

四、联系方式

邮箱：xiazh@gbu.edu.cn

五、所获荣誉

• Sloan Research Fellowship, Sloan Foundation, 1989-1991

• Best Paper Award, Sigma Xi Scientific Research Society, 1993

• First Blumenthal Award for Advancement of Pure Mathematics, American Mathematical Society, 1993 ( Among all 6 recipients of this prize, 3 of them later received the Fields Medal)

• National Young Investigator Award, National Science Foundation, 1993-1998

• Institute Fellow, Georgia Institute of Technology, 1994

• Fifth Monroe Martin Prize For Applied Mathematics, U. of Maryland, 1996

• Invited Speaker, International Congress of Mathematicians, Berlin, 1998

• ArthurGladys Pancoe Chair in Mathematics, Northwestern, 2000

• Changjiang Chair Professor, Beijing University (首批长江特聘教授),

1999

• Outstanding Young Investigator-B (首批杰出青年基金-B), National Science Foundation of China, 1999