数学大神「科研粮」终于到手了！陶哲轩自曝IPAM拿下了未来五年的科研经费，续命成功，但经费大幅缩水，离正常运转还需一笔资金。 菲尔兹奖得主，终于拿到经费了！ 3日，陶哲轩激动称，IPAM从2025年起，获得了「美国国家科学基金会」（NSF）五年的资助。 这意味着，顶级数学圣殿IPAM正式「续命」成功，起码不用关门大吉了。 所幸的是，IPAM终于可以活了下来，数学大神也能继续搞科研了…… IPAM终获5年「续命钱」 对于圈内的人来说，IPAM就是最具权威、最具影响力的「科研殿堂」。 此前几个月里，资金一度中断，IPAM一直靠捐款、紧急资金「硬撑」了下来。 在帖子中，陶哲轩话锋一转： 正如此前所料，这笔资助相较于上一轮「五年周期」大幅缩水！ 现在，还需要进一步筹款，才能正常运转。 不过，现在好歹有了「最低的生存保障」，可以维持基本研究的运作。 自美政府挥出制裁大棒后，陶哲轩曾多次发文呼吁，甚至把捐款链接挂在帖子最显眼的位置。 由此可见，事态之严重。 成立于2000年，无数大牛在这里，碰撞出拿下菲尔兹奖、阿贝尔奖的研究灵感。 作为NSF资助的六大科研所之一，IPAM以独特的跨学科项目融合创新，曾催生了「压缩感知」突 ...

Core Viewpoint - The article discusses the Erdős Problems website, which focuses on mathematical research and problem-solving, particularly related to the famous mathematician Paul Erdős. It serves as a platform for researchers and enthusiasts to propose, discuss, and solve various mathematical problems across different fields such as number theory, combinatorics, and graph theory [1]. Group 1 - The Erdős Problems website collects various mathematical problems proposed by Erdős, covering diverse areas like number theory, combinatorics, and graph theory [1]. - Independent researcher Wouter van Doorn provided a counterexample to Erdős Problem 367, relying on a congruence identity he believes to be valid [5]. - The problem was later submitted to Gemini 2.5 Deep Think by renowned mathematician Terence Tao, who received a complete proof from the AI in about ten minutes [9]. Group 2 - Terence Tao manually converted the AI-generated proof into a more basic form within half an hour, indicating that the proof could be formalized and verified in Lean [11]. - Two days later, mathematician Boris Alexeev used the Harmonic Aristotle tool to complete the Lean formalization of the problem, taking two to three hours for the process [12]. - Terence Tao has been exploring the application of AI tools in mathematics, contributing to various research and proofs, including a recent paper on the topic [13].

Group 1 - The core idea emphasizes the transition of China's technology from following to leading, requiring courage and innovation to explore uncharted territories in research [1][3] - The discussion highlighted the importance of integrating various scientific fields, such as mathematics and artificial intelligence, to address domestic industrial needs and foster original research [1][2] - The need for a supportive environment for innovation was stressed, including a shift in evaluation systems to allow for failure and a societal respect for innovation [2] Group 2 - The meeting underscored the necessity for researchers to maintain a long-term commitment to their work, akin to "ten years sharpening a sword," to tackle unknown challenges [2] - The call for a transformation in research culture and practices was made, aiming to create a conducive ecosystem for innovation and to lead by example in scientific endeavors [2] - The integration of traditional Chinese cultural values into the innovation process was suggested as a means to enhance confidence and drive technological advancement [3]

Group 1 - The core idea of the discussions among the academicians is the need for China to transition from following international trends to leading in technological innovation, emphasizing the importance of breaking new ground in research and development [1][2][3] - The meeting highlighted the significance of integrating various scientific disciplines, such as mathematics and artificial intelligence, to address practical industrial needs and foster original research that can solve critical issues [1][2] - The academicians stressed the importance of a supportive environment for innovation, which includes a flexible evaluation system that tolerates failure and a societal respect for creative endeavors [2] Group 2 - The discussions underscored the necessity for researchers to maintain a long-term commitment to their work, akin to "ten years sharpening a sword," and to embrace challenges in unknown territories of science [2] - The meeting concluded with a call for the Chinese Academy of Sciences to align its actions with the central government's strategic decisions, focusing on high-level technological self-reliance and innovation [2] - The academicians expressed that drawing inspiration from traditional Chinese culture can enhance innovation confidence and help China secure a competitive edge in the global technological landscape [3]

Core Viewpoint - The article emphasizes the need for China’s mathematics discipline to transition from a "follower" to a "frontier" position, requiring adjustments in institutional frameworks and cultural attitudes towards academia [3][4]. Group 1: Current State of Mathematics in China - China's mathematics has made significant progress but remains in a "follower" position, primarily developing in fields pioneered by others rather than creating original contributions [3][5]. - The underlying cultural and institutional factors contribute to this status, necessitating improvements in evaluation systems, academic independence, and emotional investment in scholarship [3][6]. Group 2: The Beauty of Mathematics - The beauty of mathematics is expressed through both external forms and the power of abstract thinking and logical proofs [4][5]. - Many individuals fail to appreciate the beauty of mathematics due to a utilitarian approach to learning, focusing on completing assignments and passing exams rather than enjoying the subject [4][5]. Group 3: Role of Educators - Educators play a crucial role in helping students appreciate the beauty of mathematics by reducing pressure and guiding them towards understanding the structural and logical beauty of the subject [5][6]. - A shift in teaching methods and attitudes can lead to a deeper engagement with mathematics, potentially inspiring long-term commitment to the field [5][6]. Group 4: Academic Independence and Long-term Vision - There is a need to encourage academic independence and intrinsic motivation for knowledge, moving away from blind worship of top journals and external metrics [6]. - The academic environment should allow for failure and long-term exploration, fostering a culture where the pursuit of knowledge is valued over the pursuit of accolades [6]. Group 5: Historical Perspective on Achievements - Young scholars are encouraged to focus on the historical value of their work rather than short-term recognition, as many influential mathematicians did not receive awards during their lifetimes [6]. - The pursuit of knowledge should be seen as a joy in itself, with accolades being a natural byproduct rather than the primary goal [6].

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 - The 2025 Shanghai Association for Science and Technology Academic Annual Conference opened on October 31, focusing on the theme "Simplicity, Beauty, and Infinity - The Path of Mathematical Integration Development" [1] - The conference aims to explore the critical role of mathematics in addressing major scientific issues and social challenges, promoting talent cultivation in foundational disciplines, and fostering interdisciplinary development [1] - The conference features notable speakers, including academicians and experts, who will discuss advancements in mathematics and its applications [1] Group 1 - The annual conference has been held since 2003 and has become a significant academic brand in Shanghai's science and technology community, emphasizing academic integrity and the role of researchers [2] - The event is co-hosted by multiple organizations, including the Shanghai Association for Science and Technology and Fudan University, and features a main forum, parallel forums, and specialized activities [2] - The Shanghai Qiguang Natural Science Development Foundation awarded certificates to the first five "Qiguang Scholars," aiming to support young researchers in foundational sciences and encourage exploration in cutting-edge research areas [1][2]

Core Viewpoint - The article highlights the significant achievement of professors Geng Jun from Lanzhou University and Shen Zhongwei from Westlake University, whose research paper has been accepted by one of the top four mathematics journals, Inventiones Mathematicae, marking a milestone for Lanzhou University in the field of mathematics [2][6]. Group 1: Research Focus - The research centers on the Stokes equation, a fundamental aspect of fluid mechanics, specifically investigating the infinite norm pre-estimation of the Stokes operator in non-smooth regions [3][4]. - The study aims to understand the behavior of fluid motion in irregular boundary spaces, such as natural river channels, rather than smooth pipelines [4][5]. Group 2: Key Breakthroughs - The paper presents two major breakthroughs: 1. It establishes that in three-dimensional and higher spaces with C¹ boundaries, and in two-dimensional spaces with Lipschitz boundaries, the maximum fluid velocity can be estimated based on the maximum external force [11]. 2. It introduces a novel approach using large-scale averaging to address the issue of pressure control, allowing for the estimation of maximum velocity in bounded regions [12]. Group 3: Theoretical and Practical Implications - The research fills a critical gap in the theoretical understanding of the Stokes equation in non-smooth regions, clarifying the applicability of C¹ and Lipschitz boundaries and enhancing the mathematical analysis framework of fluid mechanics [13]. - Practically, the findings provide engineers with more accurate computational tools for real-world fluid scenarios, improving the precision of velocity and pressure estimations in non-smooth boundary conditions [14]. Group 4: Authors' Background - The authors, Geng Jun and Shen Zhongwei, are prominent mathematicians with extensive academic backgrounds, having collaborated on influential papers prior to this achievement [15][20]. - Geng Jun, a professor at Lanzhou University, specializes in harmonic analysis and partial differential equations, while Shen Zhongwei, who recently returned to China, has a distinguished career in mathematics education and research [16][22][23].

Core Points - The project "Mathematical Research on the Mechanism of Flow Transition," led by Zhang Zhifei and Wei Dongyi from Peking University, has passed the preliminary evaluation for the 2025 National Natural Science Award, with a suggested grade of second prize [1][2] - The preliminary evaluation work for the 2025 National Science and Technology Awards has concluded, with 60 projects for the National Natural Science Award passing the initial review [2] - The project has notable nominators from leading figures in the mathematics field, including Huang Feimin and Li Jiayu [2] Group 1 - The project "Mathematical Research on the Mechanism of Flow Transition" is recognized for its theoretical and forward-looking contributions to basic and applied research [1] - The National Natural Science Award aims to honor significant scientific discoveries that elucidate natural phenomena and laws [1][2] - The project has been publicly announced and will proceed to the next stage if no objections are raised during the 15-day public notice period [1] Group 2 - Wei Dongyi, along with collaborators Zhang Zhifei and Shao Feng, recently published a paper in the top mathematics journal "Forum of Mathematics, Pi," focusing on the blow-up phenomenon for supercritical defocusing nonlinear wave equations [3] - The research demonstrates the existence of smooth complex solutions that blow up in finite time under specific conditions [3]

Core Viewpoint - The article highlights the significant impact of funding cuts on the research ecosystem in the United States, particularly at UCLA, where even top mathematicians like Terence Tao are affected by the inability to secure research funding and salaries [2][4][5]. Funding Cuts and Their Impact - On July 25, 2023, the U.S. government abruptly suspended funding from agencies like the National Science Foundation (NSF) and the National Institutes of Health (NIH) to UCLA, amounting to $500 million [4]. - Although a federal court restored some funding on August 12, the actual disbursement of funds did not occur until early September [5]. - The funding cuts have severely affected graduate students, who rely on these resources for attending academic conferences and advancing their careers [6][21]. Research Ecosystem Disruption - The article discusses how the funding interruptions have led to the cancellation of ongoing research projects and a reduction in scholarships for training the next generation of scientists [12][15]. - The NSF's funding cuts have particularly impacted UCLA, disrupting the research environment and depriving students of essential early career opportunities [15][16]. Personal Experiences and Concerns - Terence Tao expresses concern for his students over his own financial situation, emphasizing the importance of funding for their academic and professional development [6][12]. - The article notes that Tao has had to shift his focus from research to fundraising, which is not a sustainable way to operate a world-class scientific institution [7][17]. Broader Implications - The article reflects on the psychological impact of funding instability on students, who may struggle to focus on their research due to financial uncertainties [23]. - Tao's uncertainty about remaining in the U.S. due to these funding issues indicates a broader concern among academics regarding the future of research in the country [24].