【环球网科技综合报道】近日，第十届世界华人数学家大会（ICCM2025）金奖花落三位北大数院校友：王虹、邓煜和袁新意。作为获奖者之一，芝加哥大 学教授邓煜作为数学领域优秀答主，在知乎亲自答，分享了其学术研究历程和成果。 三位获奖者均在各自领域取得突破性进展。王虹近年来因在挂谷猜想等经典难题上的突破性工作受到全球学界关注，邓煜则与合作者成功突破了"狭义希尔 伯特第六问题"这一困扰学界多年的物理公理化难题，两位学者被学界期待，有望在明年拿下数学界的诺贝尔奖—菲尔兹奖。北京大学北京国际数学研究中 心教授袁新意，其研究则集中在数论领域。 在获得华人数学家大会金奖之后，邓煜现身知乎，没有如用户所愿发表"获奖感言"，而是重点分享了自己近年来学术研究方向—色散方程的随机初值问 题。"时间到了2018年9月，当时Nahmod的学生岳海天去USC跟我做博后。有一次他和我提起Nahmod和Bourgain在2016年讨论过的一个问题，即如何将1996 年文章的二维 p=3p=3 的Gibbs测度结果扩展到 p=5p=5 ，这也是我（在2010-2013年之后）重新回到随机初值这一领域的契机"，这篇回答中，邓煜以时间线 梳理的方式 ...

图：陶哲轩发文祝贺 值得一提的是，在该奖项颁布前日（10月27日），世界华人数学家大会ICCM数学奖金奖授予了邓煜、王虹和袁新意。 每经编辑｜许绍航 10月28日，青年女数学家王虹拿下了2025塞勒姆奖。 据悉，塞勒姆奖被视为菲尔兹奖的风向标，从1968年到2024年的56位塞勒姆奖获奖者中诞生了10位菲尔兹奖得主，而菲尔兹奖是数学领域的国际最高奖项 之一。 在获奖名单公布之后，前塞勒姆及菲尔兹奖项获得者陶哲轩第一时间发文恭喜。 这意味着，短短两天内，王虹已连夺两大"菲尔兹奖"风向标奖项。 资料显示，王虹于1991年出生在广西桂林市平乐县沙子镇，2008年至2011年本科就读于北京大学，原本在北大地球与空间科学学院就读，后来转到了数学 科学学院；2014年王虹获巴黎综合理工学院工程师学位和巴黎第十一大学硕士学位；2019年获麻省理工学院博士学位；随后在普林斯顿高等研究院做博士 后。 图：ICCM数学将金奖获得者 据了解，世界华人数学家大会由丘成桐发起，每三年举办一次，像菲尔兹奖一样限定45岁以下，被称为"华人菲尔兹奖"。 图：青年数学家王虹，来源：中国妇女报 王虹曾任加州大学洛杉矶分校助理教授，纽约大学柯朗数 ...

Group 1 - The article highlights the achievements of young female mathematician Wang Hong, who won the 2025 Salem Prize, regarded as a precursor to the Fields Medal, the highest award in mathematics [1] - Wang Hong also received the ICCM Mathematics Award the day before, which is known as the "Fields Medal for Chinese mathematicians" [1] - Born in 1991 in Guilin, Guangxi, Wang graduated from Peking University and obtained her master's degree from École Polytechnique and Paris-South University, followed by a PhD from MIT in 2019 [1] Group 2 - In February of this year, Wang and her colleagues published a 127-page paper proving the long-standing mathematical problem known as the "Hanging Garden Conjecture," which created a significant impact in the mathematics community [1] - In June, Wang gave a lecture at Peking University that attracted a full audience, including notable attendees such as researcher Wei Dongyi [1]

Core Points - Chinese mathematician Wang Hong has recently won two prestigious mathematics awards: the 2025 Salem Prize and the ICCM Mathematics Prize [1][3] - The Salem Prize is awarded for significant contributions in Fourier analysis and related fields, typically to mathematicians under 40 years old [9][12] - Wang Hong's achievements in harmonic analysis and geometric measure theory have positioned her as a leading candidate for the Fields Medal, often regarded as the "Nobel Prize of Mathematics" [7][14] Group 1 - Wang Hong received the 2025 Salem Prize for her outstanding contributions to unresolved problems in harmonic analysis and geometric measure theory [1] - The ICCM Mathematics Prize, which Wang also won, is considered the "Fields Medal" of the Chinese mathematics community [3] - The likelihood of winning the Fields Medal is notably high for those who have previously won the Salem Prize, with ten past recipients achieving this honor [12] Group 2 - Wang Hong's recent research breakthroughs include solving the three-dimensional Kakeya conjecture, a significant problem in the field [31][34] - Her academic journey includes degrees from prestigious institutions such as École Polytechnique and MIT, culminating in a postdoctoral position at the Institute for Advanced Study [22][24] - Wang's work has been published in top mathematics journals, further solidifying her reputation in the mathematical community [31]

Core Points - The 2025 Salem Prize was awarded to Wang Hong and Vesselin Dimitrov, recognized as indicators of future Fields Medal winners [2] - The ICCM Mathematics Prize was awarded to Wang Hong, Deng Yu, and Yuan Xinyi, all alumni of Peking University, and is often referred to as the "Chinese Fields Medal" [5][41] Group 1: Awards and Recognition - Wang Hong's achievements include the Salem Prize for her contributions to harmonic analysis and geometric measure theory, particularly for proving the Kakeya set conjecture [14][21] - The ICCM Mathematics Prize recognizes young mathematicians under 45, with Wang Hong, Deng Yu, and Yuan Xinyi being notable recipients this year [5][41] Group 2: Wang Hong's Academic Journey - Wang Hong transitioned from Earth and Space Sciences to Mathematics, earning her degrees from prestigious institutions including Peking University and Paris XI University [8][12] - She is a tenured professor at the Institute of Advanced Scientific Studies in France, being the first female tenured professor in its history [11] Group 3: Contributions to Mathematics - Wang Hong has made significant contributions to various mathematical problems, including the Fourier restriction conjecture and Falconer distance set conjecture, with multiple publications in top journals [17][14] - Her collaboration with Joshua Zahl led to a groundbreaking 127-page paper on the Kakeya set conjecture, a long-standing problem in mathematics [14] Group 4: Other Awardees - Deng Yu, another ICCM awardee, is a professor at the University of Chicago and has made significant contributions in nonlinear dispersive equations and fluid dynamics [24][26] - Yuan Xinyi, also an ICCM awardee, is known for his work in Arakelov geometry and has received multiple prestigious awards, including the Clay Research Fellowship [31][39]

Core Viewpoint - The article highlights the significant achievements of mathematician Wang Hong, who received two prestigious awards: the 2025 Salem Prize and the ICCM Mathematics Award, marking a remarkable year for Chinese mathematicians [2][5][56]. Group 1: Awards and Recognition - Wang Hong was awarded the 2025 Salem Prize for her contributions to solving major open problems in harmonic analysis and geometric measure theory [17][29]. - The ICCM Mathematics Award was also given to Wang Hong, along with fellow Peking University alumni Deng Yu and Yuan Xinyi, recognizing their exceptional work in mathematics [5][30]. - The Salem Prize is considered a precursor to the Fields Medal, with a notable history of past winners going on to receive the Fields Medal [2]. Group 2: Wang Hong's Academic Journey - Wang Hong transitioned from studying Earth and Space Sciences at Peking University to pursuing mathematics, showcasing her passion for the field [10]. - She graduated from Peking University in 2011, furthered her studies at École Polytechnique and Paris 11 University, and completed her PhD at MIT in 2019 under renowned mathematician Larry Guth [11][13]. - Wang is currently an assistant professor at UCLA and a tenured professor at the Institut des Hautes Études Scientifiques (IHES), where she is the first female tenured professor in its history [15]. Group 3: Contributions to Mathematics - Wang Hong made significant advancements in several century-old mathematical problems, including the Kakeya set conjecture, which she proved in collaboration with Professor Joshua Zahl [20][28]. - She has also contributed to the Fourier restriction conjecture and the Falconer distance set conjecture, publishing two papers in top mathematical journals this year alone [23]. - Her groundbreaking work has positioned her as a leading candidate for the Fields Medal, especially following her recent accolades [29]. Group 4: Fellow Awardees - Deng Yu, another ICCM awardee, is a professor at the University of Chicago and has received numerous accolades, including the Putnam Fellow award and the IMO gold medal [32]. - Yuan Xinyi, also an ICCM awardee, is known for his work in Arakelov geometry and algebraic dynamics, having made significant contributions to various mathematical fields [45]. - All three awardees share a common background as alumni of Peking University's mathematics department, highlighting the institution's role in nurturing top mathematical talent [55].

Core Points - The article highlights the achievements of Tao Zhongkai, a 26-year-old Chinese scholar who has recently been appointed as a junior professor at the Institut des Hautes Études Scientifiques (IHES) in France, a prestigious institution in the field of mathematics [2][5][23] - Tao has an impressive academic background, having entered Xi'an Jiaotong University at the age of 15 and achieving outstanding grades, including 16 courses with a perfect score and maintaining a GPA of 96.94 during his undergraduate studies [4][7][10] - His research interests include spectral theory, microlocal analysis, general relativity, condensed matter physics, and dynamical systems, showcasing a strong interdisciplinary approach [4][7][15][18] Academic Achievements - Tao has received numerous awards in national and international mathematics competitions, including a fourth-place finish in the National College Student Mathematics Competition and a bronze award in the Qiu Chengdong Mathematics Competition [8][10] - During his time at UC Berkeley, he excelled in graduate courses, receiving A+ grades, including a rare A+ in algebraic geometry, which was the first of its kind from the professor [10][11] - He has published several papers on topics such as partial differential equations and spectral theory, contributing to significant advancements in the understanding of complex mathematical concepts [14][15][18] IHES Overview - The IHES is known for its high-caliber faculty, with 8 out of 13 permanent professors being recipients of the Fields Medal, the highest award in mathematics [3][23][26] - The institution focuses on cutting-edge research in mathematics and theoretical physics, similar to the Princeton Institute for Advanced Study [23] - Tao's appointment adds to the growing roster of talented mathematicians at IHES, which includes other notable scholars like Wang Hong and Wang Yilin [28][31][34]

Core Viewpoint - The article highlights the remarkable achievements of Tao Zhongkai, a 26-year-old Chinese scholar who has recently been appointed as a junior professor at the Institut des Hautes Études Scientifiques (IHES) in France, emphasizing his academic excellence and contributions to mathematics and theoretical physics [5][7][32]. Group 1: Academic Achievements - Tao Zhongkai entered the Xi'an Jiaotong University (XJTU) youth class at the age of 15, achieving outstanding academic results, including 16 courses with a perfect score of 100 and maintaining an average score of 96.94 during his first three years [2][15]. - During his exchange program at UC Berkeley, he excelled in three graduate courses, receiving two A+ grades, including a rare A+ in algebraic geometry, awarded by the professor for the first time [3][20]. - He has won multiple national and international mathematics competition awards, including a fourth place in the National College Student Mathematics Competition and a bronze award in the Qiu Chengdong University Mathematics Competition [18][19]. Group 2: Research Focus - Tao's research interests include spectral theory, micro-local analysis, general relativity, condensed matter physics, and problems arising from hyperbolic dynamical systems [10][11][28]. - His recent work involves significant contributions to the spectral analysis of periodic/quasiperiodic Hamiltonian systems and the mathematical understanding of new electronic states in two-dimensional materials [29][31]. Group 3: IHES and Its Significance - The IHES is renowned for its high-caliber faculty, with 8 out of 13 permanent professors being recipients of the Fields Medal, the highest award in mathematics [8][42]. - The institute focuses on cutting-edge research in mathematics and theoretical physics, attracting world-class mathematicians and physicists [38][39]. - Tao's appointment at IHES is seen as a significant addition to the institute's already prestigious lineup, which includes other notable scholars [57].

Group 1 - The core viewpoint is that Wei Dongyi, a researcher at Peking University's School of Mathematical Sciences, has gained significant online popularity but is experiencing a decline in followers on social media platforms [1][3] - Wei Dongyi's Douyin account had over 24.3 million followers initially, but has lost more than 300,000 followers in half a month, averaging a loss of 20,000 followers per day [3] - There are ongoing discussions regarding whether the account was opened at Wei Dongyi's own will, who is currently managing it, and whether it will be deactivated in the future [3] Group 2 - Wei Dongyi is set to become an associate professor at Peking University, with a tenure starting from August 1, 2025, although his current title remains assistant professor and researcher [8] - The Human Resources Department of Peking University stated that title evaluations are publicly announced and follow a specific process, with future updates to be provided through official channels [8]

Core Viewpoint - The article discusses the resolution of Hilbert's sixth problem, a significant mathematical challenge posed by David Hilbert in 1900, which has been solved by a team of Chinese researchers after 125 years [1][11]. Group 1: Authors and Their Backgrounds - The research was conducted by three authors: Deng Yu, a professor at the University of Chicago; Zaher Hani, an assistant professor at the University of Michigan; and Ma Xiao, also an assistant professor at the University of Michigan [2][27]. - Deng Yu graduated from Peking University and MIT, and completed his PhD at Princeton [28]. - Zaher Hani completed his undergraduate studies at the American University of Beirut and his master's and PhD at UCLA, studying under renowned mathematician Terence Tao [31][34]. - Ma Xiao graduated from the Young Scholars Program at the University of Science and Technology of China and completed his PhD at Princeton in 2023 [35]. Group 2: Significance of the Research - The resolution of Hilbert's sixth problem is not only a theoretical milestone but also provides new mathematical tools for the study of fluid mechanics [5][6]. - The achievement has been celebrated within the mathematical community, with some referring to it as a "miracle year for Chinese mathematics" [6][8]. Group 3: Methodology and Findings - The authors approached the problem by deriving fluid dynamics equations from microscopic Newtonian mechanics using Boltzmann kinetic theory [4][25]. - They introduced a cumulative quantity analysis method to track the complete history of particle collisions, leading to the proof of the long-term validity of the Boltzmann equation [18][20]. - The research culminated in the derivation of the Euler equations for compressible fluids and the Navier-Stokes-Fourier equations under incompressible conditions [21][25].