Core Viewpoint - The article discusses the optimistic outlook for China's future in mathematics, predicting that it will become a mathematical powerhouse within the next 5 to 10 years, as stated by the first Chinese Fields Medalist, Shing-Tung Yau, during the 10th International Conference of Chinese Mathematicians (ICCM) held in Shanghai [3][4]. Group 1: Talent Development - Yau emphasizes the importance of nurturing mathematical talent, noting that Chinese students around the age of 12 exhibit exceptional creativity and intuition comparable to their peers globally [7]. - He expresses concern that the current educational focus on standardized testing and rote learning ("刷题") stifles innovation and critical thinking among students as they progress into high school [6][8]. - The goal of specialized programs is not only to produce mathematicians but to provide a solid mathematical foundation for various scientific disciplines, allowing students to pursue their interests later on [7]. Group 2: AI and Mathematics - Yau argues that while AI enhances research efficiency, it does not revolutionize scientific paradigms, and breakthroughs in AI will ultimately require a return to mathematical fundamentals [6][10]. - He refutes the notion that AI will replace mathematicians, asserting that significant mathematical problems require years of deep contemplation and cannot be solved merely by searching existing knowledge [10]. - Yau highlights that the current reliance of AI on vast computational power reflects a lag in foundational mathematical theories, suggesting that advancements in AI will necessitate a deeper mathematical understanding [10].

"ICCM二十八年前大会刚创办时，中国数学家涉猎的领域还很狭窄。如今，数论、代数、几何等各个方 向都已呈现出多姿多彩的局面。"会议期间，菲尔兹奖首位华人得主、大会主席丘成桐接受第一财经在 内的媒体采访时给出一个判断：未来5到10年，中国将成为数学强国。 未来AI若想突破能耗与算力的天花板，必须回归数学。 距离2026年菲尔兹奖公布时间还有一个多月时间，为期5天的第十届世界华人数学家大会（ICCM）3日 在上海开幕。 除了乐观的判断，丘成桐对于数学人才的培养和人工智能（AI）的发展也有冷静的思考。 在他看来，AI改变的仅仅是科研效率，而非范式革命，AI的突破仍需要回归数学。而在人才培养方 面，不能在标准化的"刷题"与功利化的KPI中让年轻一代失去创新能力。在第十届世界华人数学家大会 "这个群体数量巨大，如果其中有三分之一能最终成才，就是国家了不起的财富。"丘成桐说，少年班的 核心目标并非只培养数学家，而是为理科学习打好数学基础，后续他们可根据兴趣选择不同学术方向。 然而，这个群体12岁之后的成长期，特别是一旦进入高中阶段，一些原本敢想敢问的学生开始变得不敢 提出试卷以外的问题，思维逐渐趋同。这种对不确定性的规避 ...

Core Points - The 10th World Chinese Mathematicians Conference (ICCM2025) awarded the gold medal to three alumni from Peking University: Wang Hong, Deng Yu, and Yuan Xinyi [1][3] - The awardees have made significant breakthroughs in their respective fields, with Wang Hong recognized for work on the Hanging Valley Conjecture and Deng Yu for solving the long-standing Hilbert's Sixth Problem [3] - There is anticipation in the academic community that both Wang Hong and Deng Yu may be contenders for the Fields Medal, often referred to as the Nobel Prize of Mathematics, in the upcoming year [3] Individual Contributions - Wang Hong has gained global attention for his groundbreaking work on classic problems such as the Hanging Valley Conjecture [3] - Deng Yu, a professor at the University of Chicago, has successfully addressed the Hilbert's Sixth Problem, a major challenge in the field of physics [3] - Yuan Xinyi, a professor at the Beijing International Center for Mathematical Research, focuses his research on number theory [3] Academic Engagement - Following the award, Deng Yu engaged with the public on Zhihu, sharing insights into his recent research direction on random initial value problems related to dispersion equations [3] - Deng Yu provided a timeline of his research journey, highlighting a pivotal moment in September 2018 when he returned to the field of random initial value problems [3]

Core Points - Young mathematician Wang Hong won the 2025 Salem Prize, which is considered a precursor to the Fields Medal, with 10 out of 56 Salem Prize winners from 1968 to 2024 later receiving the Fields Medal [1] - Wang Hong also received the ICCM Mathematics Gold Award just a day before the Salem Prize announcement, making her the recipient of two significant awards in a short span [2][5] - Wang Hong is the first female tenured professor in the history of the Institut des Hautes Études Scientifiques (IHES) and the 14th tenured professor in mathematics at IHES, with 8 of the previous 13 having won the Fields Medal [8] Academic Background - Wang Hong was born in 1991 in Guilin, Guangxi, and studied at Peking University from 2008 to 2011, initially in Earth and Space Sciences before transferring to the Mathematics Department [5] - She obtained her engineering degree from École Polytechnique in 2014 and a master's degree from Paris-Sud University, followed by a Ph.D. from MIT in 2019 [5] - Wang has held positions at UCLA and NYU and is currently a tenured professor at IHES [7] Research Contributions - Wang Hong was awarded the Salem Prize for her contributions to solving major open problems in harmonic analysis and geometric measure theory, which are her primary research areas [8] - She has published multiple papers in prestigious journals such as Annals of Mathematics and Inventiones Mathematicae [8] - In February of this year, she and Professor Joshua Zahl from Columbia University proved the long-standing Kakeya set conjecture in a 127-page paper [9]

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].