如今，许多曾被视为纯理论的数学方向找到了实际应用场景。例如，微分几何被应用于计算机图形 学，数论被应用于密码学。"我看到了数学在人工智能等新兴领域变得日益重要。"孙理察在现场连线中 说。 "生命科学或医学奖"授予康奈尔大学分子生物学与遗传学系名誉教授斯科特·埃默尔和犹他大学生 物化学系特聘教授兼系主任韦斯·桑德奎斯特，以表彰他们在受体膜蛋白转运与降解细胞机制研究中的 突破性发现，该机制与病毒出芽、感染进程及艾滋病药物干预密切相关。该奖项遴选委员会主席兰迪· 谢克曼介绍，两位科学家成功破解了细胞膜蛋白在细胞内被捕获和降解这一长期悬而未决的难题，揭示 了艾滋病病毒如何利用这一过程在感染的细胞中制作获取包膜，并最终转化为具有全球健康影响力的实 际应用，堪称科学造福人类的典范。 记者 黄海华 沈思怡 昨天，2025世界顶尖科学家协会奖在临港揭晓。 "智能科学或数学奖"授予斯坦福大学名誉讲席教授孙理察，以表彰其在几何分析与微分几何领域的 开创性工作。该奖项遴选委员会主席迈克尔·I·乔丹介绍，孙理察解决了看似不可攻克的问题，创造了重 新定义几何分析框架的数学工具，并以其教学洞见与开创性方法激励了几代几何学家。 现场连线中 ...

2025顶科协奖"智能科学或数学奖" 转自：北京日报客户端 9月10日上午，2025世界顶尖科学家协会奖（简称"顶科协奖"）获奖者名单在上海临港中心公布，三位 美国科学奖获奖。 2025顶科协奖"智能科学或数学奖"授予斯坦福大学人文与科学学院名誉讲席教授孙理察（Richard SCHOEN），表彰他在几何分析与微分几何领域作出开创性工作，包括在共形偏微分方程、极小曲面、 广义相对论、调和映射及山边问题等方面取得的奠基性成果。 2025顶科协奖"生命科学或医学奖"授予康奈尔大学分子生物学与遗传学系细胞与分子生物学名誉教授斯 科特·埃默尔（Scott D. EMR）和犹他大学生物化学系特聘教授兼系主任韦斯·桑德奎斯特（Wesley I. SUNDQUIST），表彰他们在受体膜蛋白转运与降解细胞机制研究中的突破性发现，该机制与病毒出 芽、感染进程及人类免疫缺陷病毒药物干预密切相关。 2025顶科协奖"智能科学或数学奖"遴选委员会主席迈克尔·I·乔丹（Michael I. JORDAN）在解读获奖理 由时对孙理察数十年在几何分析领域的研究作介绍，他表示孙理察通过革命性的定理解决了看似不可攻 克的问题，创造了重新定义几 ...

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].