2026.01. 20 本文字数：607，阅读时长大约2分钟 来源 | 长安街知事 封图 | 资料图 1月19日，北京市科学技术委员会、中关村科技园区管理委员会官网发布了《2025年度北京市科学 技术奖杰出青年中关村奖评审结果公示通知》。 通知称，根据《北京市科学技术奖励办法》及《北京市科学技术奖励办法实施细则》有关规定，北京 市科学技术奖人物奖评审委员会已完成2025年度北京市科学技术奖杰出青年中关村奖的评审，现对 评审结果进行公示。 其中，北京大学韦东奕位列"2025年度北京市科学技术奖评审委员会评审结果目录杰出青年中关村 奖"候选人目录，提名者为文兰、王诗宬——二人均为 数学家、中国科学院院士。 韦东奕1991年出生于山东济南，浙江东阳人。在山东师大附中读 高中期间 ， 他 曾在第49届、50 届国际数学奥林匹克竞赛中，连续两次以满分成绩获得国际金牌。 2010年， 韦东奕 被保送至北京大学就读，随后参与北大"本博连读特别计划"，并于2019年毕业后 留校任教。 2021年5月，韦东奕接受采访时手提一瓶矿泉水、两个馒头的形象引发网友热议。网友在了解韦东 奕的数学才华和经历后，称他为"韦神"。 北京大学数 ...

Core Viewpoint - The article discusses the exaggerated claims regarding AI's ability to solve complex mathematical problems, particularly in relation to Erdős problems, and emphasizes the need for a more nuanced understanding of AI's contributions in mathematics [1][2]. Group 1: AI's Capabilities in Mathematics - AI's achievements in solving certain mathematical problems are often overstated, leading to misconceptions that AI can independently innovate or replace human mathematicians [2][4]. - The difficulty level of problems solved by AI varies significantly, making direct comparisons misleading; some problems are much easier than others, which can skew perceptions of AI's capabilities [2][3]. - Many problems labeled as "unsolved" may have been previously addressed in literature, leading to potential misattributions of "first solutions" to AI [3][10]. Group 2: Evaluation of AI Contributions - AI's contributions can be categorized into several types, including generating complete or partial solutions, conducting literature reviews, and formalizing proofs [6][12]. - Specific examples illustrate that AI has successfully provided solutions for certain problems, but these often require validation against existing literature to confirm their novelty [8][10]. - The process of formalizing AI-generated proofs can introduce risks, such as the potential for misinterpretation or the introduction of unverified axioms [4][12]. Group 3: The Role of Human Mathematicians - Human mathematicians remain essential for formulating deep questions, creating new concepts, and integrating results into the broader knowledge network of mathematics [12]. - The future of mathematics may involve a collaborative relationship where humans guide AI in exploring mathematical landscapes, rather than AI acting as an independent entity [12].

Group 1 - The 10th World Chinese Mathematical Congress opened in Shanghai, focusing on "Mathematics New Frontier: Transforming Science and Humanity's Driving Force" [1] - Shanghai aims to enhance its innovation system and build a world-class innovation ecosystem, collaborating with neighboring regions to establish an international science and technology innovation center [1][2] - The city emphasizes the importance of education, technology, and talent as foundational supports for modernization, particularly in basic disciplines and research [2] Group 2 - Shanghai will strengthen the construction of basic research zones, deepen high-risk and high-value research, and promote interdisciplinary collaboration [2] - The city plans to implement a program for cultivating top students in basic disciplines and innovate in mathematics education to nurture more outstanding talents [2] - The congress serves as a platform for international cooperation in mathematics, with a focus on creating an open and fair innovation environment [2][4] Group 3 - Notable figures, including the chairman of the congress and leaders from various institutions, highlighted the significance of mathematics in natural sciences and the city's commitment to supporting mathematical research and education [3] - The congress aims to facilitate deeper international collaboration in mathematics and science, encouraging mathematicians from around the world to engage with Shanghai [3][4] - Participants expressed the belief that the future of mathematics lies in China, particularly in Shanghai, which plays a crucial role in international mathematical exchanges [4]

Group 1 - The 10th World Congress of Chinese Mathematicians opened in Shanghai, focusing on the theme "New Frontiers in Mathematics: Transforming Science and Humanity" [1] - Shanghai aims to enhance its innovation system and build a world-class innovation ecosystem, collaborating with neighboring regions to establish an international science and technology innovation center [1][2] - The city emphasizes the importance of education, technology, and talent as foundational supports for modernization, particularly in basic disciplines and research [2] Group 2 - Shanghai will strengthen the construction of basic research zones, deepen high-risk and high-value research, and promote interdisciplinary collaboration to produce more original achievements [2] - The city plans to implement a program for cultivating top students in basic disciplines and innovate in mathematics education to attract more talented individuals [2] - The opening ceremony featured speeches from prominent mathematicians and officials, highlighting Shanghai's commitment to supporting mathematical research and education [3][4] Group 3 - The congress serves as a platform for international cooperation in mathematics, with participants expressing the need for deeper exploration and collaboration in the field [4] - The event aims to foster an open and inclusive environment for innovation, benefiting people from various countries through collaborative efforts in mathematics [2][4] - Shanghai is recognized as a significant city for mathematical research and international collaboration, with a commitment to nurturing young talent in the field [4]

Core Viewpoint - The Tenth Triennial International Congress of Chinese Mathematicians (ICCM) highlights the increasing importance of Chinese mathematicians, with expectations that China will become a mathematical powerhouse in the next 5 to 10 years [1][3]. Group 1: Conference Overview - The conference theme is "Mathematics New Frontiers: Transforming Science and Humanity," aimed at gathering global Chinese mathematicians to summarize and recognize their outstanding achievements while providing a high-level academic exchange platform [3]. - The event lasts for 5 days and includes over 300 high-level academic reports and exchange activities, covering fundamental mathematics, applied mathematics, and interdisciplinary fields such as artificial intelligence and biomedicine [3]. Group 2: Notable Contributions - Renowned mathematicians presented significant findings, including: - Andrei Okunkov, a Fields Medalist, discussed advancements in representation theory and Li theory [3]. - Hong Wang from New York University reported on the long-standing three-dimensional hanging valley conjecture, which garnered significant attention in the international academic community [3]. - Yu Deng from the University of Chicago focused on cutting-edge issues in nonlinear equations, fluid dynamics, and statistical physics, sharing breakthroughs related to the "narrow Hilbert's sixth problem" [3]. Group 3: Perspectives on Mathematical Research - Yu Deng emphasized the need for sustained interest in mathematics research and the importance of popular science to cultivate interest among youth before selecting suitable candidates for mathematical research [5]. - Xinyi Yuan from Peking University highlighted that young scholars must possess resilience and patience to make impactful contributions in mathematics, as the process of problem-solving often involves numerous attempts and failures over extended periods [5]. Group 4: Organizational Background - The ICCM was initiated by Shing-Tung Yau in 1998 and is supported by the Shanghai Municipal Science and Technology Commission and the Yangpu District People's Government, organized by the Shanghai Institute of Mathematics and Interdisciplinary Research [5].

Core Viewpoint - The Tenth Triennial International Congress of Chinese Mathematicians (ICCM) is being held in Shanghai from January 3 to January 7, 2026, focusing on the theme "Mathematics New Frontier: Transforming Science and Humanity's Driving Force," attracting thousands of mathematicians and researchers globally [1][3]. Group 1: Event Overview - The ICCM aims to create an open and diverse international academic exchange platform, enhancing the role of Chinese mathematicians on the global stage [1]. - The event is hosted by the Shanghai Institute of Mathematics and Interdisciplinary Sciences (SIMIS) and will feature a series of in-depth academic exchanges [3]. Group 2: Awards and Recognitions - Several prestigious awards were presented during the opening ceremony, including the ICCM Mathematics Gold Award, Silver Award, Chen Shengshen Award, and International Cooperation Award, recognizing outstanding contributions in various mathematical fields [2]. - New awards such as the Hua Luogeng Award, Lin Jiaqiao Award, and Yang Le Award were introduced to encourage exceptional talent in mathematics [2]. Group 3: Notable Presentations - Influential mathematicians delivered significant reports, including Andrei Okounkov, who discussed recent advancements in representation theory and Lie theory [2]. - Wang Hong presented her team's proof of a long-standing conjecture in three-dimensional topology, while Professor Deng Yu shared breakthroughs related to the "narrow Hilbert's sixth problem," paving new paths in partial differential equations research [2].

Group 1 - The 10th World Congress of Chinese Mathematicians has opened in Shanghai, focusing on the theme "New Frontiers in Mathematics: A Driving Force for Science and Humanity" [3] - Shanghai aims to enhance its innovation system and build a world-class innovation ecosystem, collaborating with Jiangsu, Zhejiang, and Anhui to establish the Shanghai (Yangtze River Delta) International Science and Technology Innovation Center [3][5] - The city is committed to strengthening basic research and education, fostering talent, and enhancing interdisciplinary collaboration to produce more original achievements in mathematics [6][8] Group 2 - Shanghai's leadership emphasizes the importance of mathematics as the foundation of natural sciences and aims to support cutting-edge mathematical research and innovative educational models [8][10] - The congress serves as a platform for international cooperation in mathematics, with prominent mathematicians expressing the need for deeper collaboration and exploration in the field [10] - The event highlights Shanghai's role as a significant city for mathematical research and its importance in international mathematical exchanges [10]

Group 1 - The 10th World Congress of Chinese Mathematicians is taking place in Shanghai, featuring over 300 high-level academic reports and awards such as the "Chinese Fields Medal" [1] - The Shanghai Institute of Mathematics and Interdisciplinary Research, led by the first Chinese Fields Medalist Shing-Tung Yau, has attracted over 100 researchers from nearly 20 countries within just two years [2][3] - The institute's innovative mechanism for talent selection emphasizes potential over traditional metrics, allowing for a diverse range of applicants, including many from prestigious universities [3][4] Group 2 - The institute promotes a long-term evaluation system for young scientists, focusing on originality and long-term value rather than short-term output [4] - Collaboration with Fudan University for graduate training aims to foster a positive interaction between teaching and research, enhancing talent development [4] - The research institute's focus on interdisciplinary innovation is highlighted by its allocation of 50% of resources to interdisciplinary studies, with the remaining 50% split between foundational mathematics and applied mathematics [5][6] Group 3 - Shanghai's commitment to foundational research is evident through its financial support, with at least one-third of municipal science and technology funds dedicated to basic research [8] - The city has seen significant achievements in scientific publications and awards, with Shanghai scientists contributing to 30% of national papers in top journals [8] - The World Congress aims to position Shanghai as a leading hub for mathematical frontiers and interdisciplinary innovation [8]

Core Viewpoint - The article highlights the achievements and contributions of mathematician Richard S. Sun, who recently received the "Intelligent Science or Mathematics Award" from the World Top Scientists Association, marking him as the first mathematician to receive this honor [1]. Group 1: Achievements and Recognition - Richard S. Sun has made groundbreaking contributions in geometric analysis and differential geometry, reshaping the understanding of mathematics and its connection to the physical world [2]. - He has received numerous prestigious awards, including the MacArthur Fellowship, the Rolf Schock Prize, and the Wolf Prize in Mathematics [1]. - Sun's work on the "Mountain Pass Theorem" took him six years to solve, significantly advancing the study of partial differential equations and nonlinear geometric analysis [3]. Group 2: Teaching Philosophy and Mentorship - Sun emphasizes the importance of patience in mathematical research and values clear communication with students to refine ideas [4]. - He has guided over 50 doctoral students, with many achieving significant research advancements, and he prioritizes one-on-one interactions over group meetings [5][6]. - Sun believes that a substantial part of a mathematician's work should focus on nurturing the next generation, as evidenced by his receipt of the Dean's Teaching Award at Stanford University [4]. Group 3: Personal Insights and Work Ethic - Sun maintains a rigorous work ethic, often arriving at the office early and working on weekends, demonstrating his dedication to both research and teaching [4]. - He encourages students to explore various fields and believes that breakthroughs often arise from interdisciplinary communication [8]. - Sun's personal background, including being one of thirteen siblings, contributed to his early interest in mathematics, supported by his family [8][9].

Core Insights - The collaboration between Terence Tao and GPT-5 Pro successfully addressed a three-year-old unsolved problem in differential geometry, showcasing the potential of AI in academic research [1][4][22]. Group 1: Problem Solving Process - The original problem involved determining if a smooth topological sphere in three-dimensional space, with a principal curvature absolute value not exceeding 1, encloses a volume at least equal to that of a unit sphere [8]. - Tao's initial approach was to restrict the problem to star-shaped regions and utilize integral inequalities, but he sought AI assistance for complex calculations [9]. - GPT-5 Pro completed the calculations in 11 minutes and 18 seconds, providing a complete proof for the star-shaped case using various inequalities and identities, some of which Tao was familiar with [10]. Group 2: AI's Role and Limitations - Although AI made minor errors in estimating a perturbation nonlinear term, it also identified a special case that reverted to the star-shaped result [17]. - The AI's performance was effective for small-scale problems, contributing useful ideas from literature that Tao was previously unaware of [23]. - However, for medium-scale strategies, AI reinforced Tao's incorrect intuition without questioning it, indicating a limitation in critical analysis [26][27]. Group 3: Insights on AI in Research - Tao reflected on the multi-scale value of AI tools, emphasizing the need for human oversight to maintain awareness of task structures across different scales [36]. - He proposed that the optimal level of automation lies between 0% and 100%, allowing for sufficient human involvement to address local issues while reducing repetitive tasks [36]. - The experience reinforced Tao's earlier assertion that the effectiveness of a tool must be evaluated across multiple scales [33]. Group 4: Historical Context of AI Collaboration - Tao's exploration of AI's potential in mathematics began three years ago with the release of ChatGPT, where initial interactions yielded disappointing results [41]. - A turning point occurred with GPT-4, which demonstrated significant efficiency in handling statistical data and familiar mathematical problems, leading to increased expectations for AI integration in research tools [43]. - By July, following OpenAI's achievements, Tao began tackling more complex mathematical problems with AI, finding it particularly useful for numerical searches, which saved considerable time [52]. Group 5: Future Implications - Tao concluded that AI is reshaping the scientific paradigm, serving as a "co-pilot" for mathematicians rather than replacing human creativity and intuition [54]. - The collaboration with AI is expected to lead to more experimental approaches in mathematics, moving beyond purely theoretical work [55].