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].

Group 1 - The core viewpoint is that Wei Dongyi, a researcher at Peking University's School of Mathematical Sciences, has gained significant online popularity but is experiencing a decline in followers on social media platforms [1][3] - Wei Dongyi's Douyin account had over 24.3 million followers initially, but has lost more than 300,000 followers in half a month, averaging a loss of 20,000 followers per day [3] - There are ongoing discussions regarding whether the account was opened at Wei Dongyi's own will, who is currently managing it, and whether it will be deactivated in the future [3] Group 2 - Wei Dongyi is set to become an associate professor at Peking University, with a tenure starting from August 1, 2025, although his current title remains assistant professor and researcher [8] - The Human Resources Department of Peking University stated that title evaluations are publicly announced and follow a specific process, with future updates to be provided through official channels [8]

Core Viewpoint - The article discusses the resolution of Hilbert's sixth problem, a significant mathematical challenge posed by David Hilbert in 1900, which has been solved by a team of Chinese researchers after 125 years [1][11]. Group 1: Authors and Their Backgrounds - The research was conducted by three authors: Deng Yu, a professor at the University of Chicago; Zaher Hani, an assistant professor at the University of Michigan; and Ma Xiao, also an assistant professor at the University of Michigan [2][27]. - Deng Yu graduated from Peking University and MIT, and completed his PhD at Princeton [28]. - Zaher Hani completed his undergraduate studies at the American University of Beirut and his master's and PhD at UCLA, studying under renowned mathematician Terence Tao [31][34]. - Ma Xiao graduated from the Young Scholars Program at the University of Science and Technology of China and completed his PhD at Princeton in 2023 [35]. Group 2: Significance of the Research - The resolution of Hilbert's sixth problem is not only a theoretical milestone but also provides new mathematical tools for the study of fluid mechanics [5][6]. - The achievement has been celebrated within the mathematical community, with some referring to it as a "miracle year for Chinese mathematics" [6][8]. Group 3: Methodology and Findings - The authors approached the problem by deriving fluid dynamics equations from microscopic Newtonian mechanics using Boltzmann kinetic theory [4][25]. - They introduced a cumulative quantity analysis method to track the complete history of particle collisions, leading to the proof of the long-term validity of the Boltzmann equation [18][20]. - The research culminated in the derivation of the Euler equations for compressible fluids and the Navier-Stokes-Fourier equations under incompressible conditions [21][25].

Core Viewpoint - The article discusses the recent proof of the Kakeya conjecture in three-dimensional space by Chinese mathematician Wang Hong and Columbia University professor Joshua Zahl, which has generated significant interest and could position Wang as a strong candidate for the Fields Medal in 2026 [1][5][6]. Group 1: Kakeya Conjecture Overview - The Kakeya conjecture, proposed by Japanese mathematician Sōichi Kakeya in 1917, involves determining the minimum area that a needle can sweep when rotated in a confined space [8][9]. - The conjecture states that a Kakeya set in three-dimensional space must have both Minkowski and Hausdorff dimensions equal to three, indicating that these sets geometrically fill the space despite appearing sparse [10][11][12]. Group 2: Proof Details - Wang Hong and Joshua Zahl published a 127-page paper proving the three-dimensional Kakeya conjecture, employing complex strategies including non-concentration conditions and multi-scale analysis [3][20]. - Their proof involves defining a situation K(d) and demonstrating a relationship that allows for the induction of dimension parameters towards three [21][23]. - The authors utilized multi-scale analysis to study the organization of pipe-like structures, leading to insights about the density and overlap of these structures [24][25][28]. Group 3: Background on Wang Hong - Wang Hong, born in 1991, is a notable mathematician who could become the first Chinese woman to win the Fields Medal if awarded [7][34]. - She has an impressive academic background, having studied at prestigious institutions and focusing on Fourier transform-related problems [36][38].