"他真是一个传奇，我很佩服他，学问自然叹为观止，还培养出特别多的优秀学者。"加州大学圣巴巴拉 分校数学系教授韦国芳如是说。"他"，就是美国数学家孙理察，2025世界顶尖科学家协会奖"智能科学 或数学奖"新晋得主，也是首位获此殊荣的数学家。 这位斯坦福大学名誉讲席教授、加州大学尔湾分校名誉讲席教授，喜欢学生们直接称呼他的昵称"瑞 克"。而"孙理察"这个中文名，是菲尔兹奖得主、清华大学讲席教授丘成桐为他起的。此次获奖前，他 已经斩获了麦克阿瑟天才奖、罗夫·肖克奖和沃尔夫数学奖等众多大奖。 近期，孙理察穿梭沪上高校分享最新研究成果，并在上海数学与交叉学科研究院的学术会议中度过75岁 生日。 做数学研究需要耐心 "孙理察在几何分析与微分几何领域作出了开创性贡献，他毕生的研究重塑了我们对数学及其与物理世 界联系的理解。"日前，在顶科协奖颁奖典礼现场，丘成桐这样评价。而孙理察也特别感谢了这位亦师 亦友的导师："我刚开始读博时，是丘成桐和莱昂·西蒙一起引导我转向几何学并明确了研究方向，我心 怀感激。" 1973年，斯坦福大学学生孙理察选修了青年数学家莱昂·西蒙主讲的一门偏微分方程理论入门课，并很 快引起西蒙的注意。"每一次 ...

Group 1 - The "Intelligent Science or Mathematics Award" was awarded to Richard S. Palais from Stanford University for his groundbreaking work in geometric analysis and differential geometry, which has practical applications in fields like computer graphics and cryptography [1] - The "Life Sciences or Medicine Award" was awarded to Scott Emmer from Cornell University and Wes Sundquist from the University of Utah for their significant discoveries related to receptor membrane protein transport and degradation mechanisms, which are crucial for understanding viral budding and infection processes [1] - The 2025 World Top Scientists Forum will open on October 24 in the Lingang New Area, featuring the award ceremony for the Top Science Association Awards [3] Group 2 - Wes Sundquist expressed excitement about his upcoming first visit to China, highlighting China's leadership in the scientific field and the potential for collaboration with local scientists [2]

Core Points - The 2025 World Top Scientists Association Award winners were announced, with three American scientists recognized for their groundbreaking contributions in their respective fields [1][5]. Group 1: Intelligent Science or Mathematics Award - The Intelligent Science or Mathematics Award was awarded to Richard Schoen from Stanford University for his pioneering work in geometric analysis and differential geometry, including foundational achievements in conformal partial differential equations, minimal surfaces, general relativity, harmonic maps, and the mountain pass problem [1][3]. - Michael I. Jordan, the chair of the selection committee, highlighted Schoen's revolutionary theorems that addressed seemingly insurmountable problems and his creation of mathematical tools that redefine the framework of geometric analysis [3]. Group 2: Life Sciences or Medicine Award - The Life Sciences or Medicine Award was jointly awarded to Scott D. Emr from Cornell University and Wesley I. Sundquist from the University of Utah for their breakthrough discoveries in the mechanisms of receptor membrane protein transport and degradation, which are closely related to viral budding, infection processes, and interventions for human immunodeficiency virus [1][5]. - Randy Schekman, the chair of the selection committee, emphasized that Emr and Sundquist's independent and collaborative research successfully resolved a long-standing issue regarding the capture and degradation of membrane proteins within cells, showcasing the significant global health implications of their work [5]. Group 3: Award Overview - The World Top Scientists Association Award was established in 2021 in Shanghai and is one of the highest monetary scientific awards globally, with a prize amount of 10 million RMB for each category, which can be shared among up to four recipients [5]. - As of 2025, the award has successfully selected four editions, honoring a total of 12 scientists [5]. - The award ceremony will take place in Shanghai on October 24, coinciding with the opening of the 2025 World Top Scientists Forum, where the winners will participate in a series of exchange activities [5].

Core Viewpoint - The article highlights the extraordinary achievements of Hannah Cairo, a 17-year-old prodigy who solved the Mizohata-Takeuchi conjecture, a significant mathematical problem that had remained unsolved for 40 years, showcasing her exceptional talent and dedication to mathematics [4][6][69]. Group 1: Background and Early Life - Hannah Cairo learned calculus at the age of 11 and had university-level math skills by 14 [1][2]. - She grew up in Nassau, Bahamas, and was homeschooled alongside her siblings [9]. - Initially, she engaged with math through online courses from Khan Academy, completing all available courses quickly [11][12]. Group 2: Academic Journey - Due to her advanced skills, her parents arranged for remote tutoring with two math professors [13][14]. - Hannah felt constrained by homeschooling and sought broader academic experiences [16][17]. - The COVID-19 pandemic allowed her to connect with the Chicago Math Circle, which further fueled her passion for mathematics [23][25]. Group 3: Breakthrough in Mathematics - In 2023, after spending a summer at the Berkeley Math Circle, she began contemplating her next steps and applied to several universities [33][34]. - Despite being rejected by most due to her incomplete high school education, she was accepted by the University of California, Davis [34][72]. - Hannah's engagement with advanced coursework led her to a pivotal moment when she tackled the Mizohata-Takeuchi conjecture as part of her assignments [48][49]. Group 4: Solving the Conjecture - The Mizohata-Takeuchi conjecture connects harmonic analysis, partial differential equations, and geometric analysis, and its resolution required innovative thinking [6][52]. - Hannah constructed a complex function that defied the conjecture's restrictions, leading to her breakthrough [65][68]. - After confirming her findings with her professor, she decided to apply directly for a PhD program, bypassing undergraduate studies [69][72]. Group 5: Future Prospects - Hannah has been accepted into PhD programs at the University of Maryland and Johns Hopkins University, marking the beginning of her formal academic journey [72][73]. - Upon graduation, she will earn her first official degree, a PhD, at a remarkably young age [74].

Core Viewpoint - The article highlights the extraordinary achievements of Hannah Cairo, a 17-year-old who solved the Mizohata-Takeuchi conjecture, a significant mathematical problem that had remained unsolved for 40 years, showcasing her exceptional talent and potential in mathematics [4][6][69]. Group 1: Background and Early Life - Hannah Cairo learned calculus at the age of 11 and had university-level math skills by 14 [1][2]. - She grew up in Nassau, Bahamas, and was homeschooled alongside her siblings [9]. - Initially, she engaged with math through Khan Academy's online courses, completing all available content quickly [11][12]. Group 2: Academic Journey - Due to her advanced learning needs, her parents arranged for remote tutoring with two math professors [13][14]. - Despite having guidance, most of her learning was self-directed, leading her to read graduate-level textbooks [14][15]. - The COVID-19 pandemic allowed her to connect with the Chicago math community, further igniting her passion for mathematics [23][25]. Group 3: Breakthrough in Mathematics - In 2023, after spending a summer at the Berkeley Math Circle, she began contemplating her next steps and applied to several universities [33][34]. - She was encouraged to participate in a concurrent enrollment program at Berkeley, allowing her to take graduate-level courses [35][37]. - During her studies, she encountered the simplified version of the Mizohata-Takeuchi conjecture as part of her homework, which led her to explore the problem deeply [48][49]. Group 4: Solving the Conjecture - The Mizohata-Takeuchi conjecture connects harmonic analysis, partial differential equations, and geometric analysis, and its resolution required innovative thinking [6][52]. - Hannah constructed a complex function that demonstrated the conjecture's conditions, ultimately leading to her proof [63][65]. - After confirming her findings with her professor, she decided to apply directly for a PhD program, bypassing undergraduate studies [69][72]. Group 5: Future Prospects - Hannah was accepted into the PhD programs at the University of Maryland and Johns Hopkins University, marking a significant milestone in her academic career [72][73]. - She is set to begin her doctoral studies this fall, which will be her first formal degree [74].