牛津大学数学家詹姆斯·梅纳德获得2022年菲尔兹奖

学术   2022-07-15 18:41  

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詹姆斯·梅纳德教授被提名为2022年菲尔兹奖的四位获得者之一,这是数学界为40岁以下学者设立的最有声望的奖项。

Professor James Maynard has been named one of four recipients of the 2022 Fields Medal, the most prestigious award in mathematics for those under 40. 

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菲尔兹奖旨在表彰当前杰出的和未来潜在的数学成就菲尔兹奖常被描述为数学界的诺贝尔奖,每四年颁发给四十岁以下的获奖者。


牛津大学数学研究所的詹姆斯·梅纳德教授被授予2022年菲尔兹奖,以表彰他在解析数论领域的“惊人贡献”,“这些贡献推动了对素数结构的理解和丢番图近似研究的重大进展”。


梅纳德教授说:“赢得这样一个有声望的奖项,并得到世界各地同行的认可对我意义重大。想到我的名字和小时候读到的数学巨匠们排列在一起,感觉有点不真实。”


“牛津大学的制度总是给我大量的时间和自由来探索我的研究兴趣,如果想取得重要的概念性进展,这种自由至关重要。我在研究生阶段就培养了对数学研究的热情。我的导师罗杰·希斯·布朗教授非常支持我,在我刚开始研究时帮我获得了巨大的进步。”


The Fields Medal recognises outstanding mathematical achievement for existing work and for the promise of future achievement. Often described as the Nobel Prize of mathematics, the Fields Medal is awarded every four years to recipients under the age of forty. 


Professor James Maynard, Mathematical Institute, University of Oxford has been awarded a 2022 Fields Medal for his ‘spectacular contributions’ to analytic number theory, ‘which have led to major advances in the understanding of the structure of prime numbers and in Diophantine approximation’.


‘It means a huge amount to win such a prestigious prize and to have this sort of recognition from my colleagues around the world. It feels a bit surreal imagining my name alongside giants of mathematics that I read about as a child,’ said Professor Maynard. 


‘The system at Oxford has always given me a lot of time and freedom to explore my research interests, and this freedom is vital if you want to make important conceptual advances. I developed my passion for mathematical research as a graduate student. My supervisor, Professor Roger Heath-Brown, was very supportive and helped me develop hugely when I was starting out.’

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作为数论领域的领军人物之一,梅纳德于2017年成为牛津大学的数论教授。他职业生涯的大部分时间都集中在研究数论中一些最著名的问题,特别是围绕素数的分布和结构。


素数只能被自己和1整除,几千年来一直让数学家着迷,但仍有一些基本问题悬而未决。在他关于素数分布的研究中,梅纳德证明有时素数比平均数要稀疏得多,这是著名的厄多斯问题,几十年来没有取得实质性进展。


梅纳德还在丢番图近似领域做出了根本性工作,他2019年与蒙特利尔大学副教授迪米特里斯·库库罗普洛斯一起解决了1941年的达芬-谢弗猜想。


他的最新工作是一系列关于残差类中素数分布的研究,扩展了广义黎曼假说的原则——关于素数分布的原则。

One of the leading figures in the field of number theory, Maynard became a Professor of Number Theory at Oxford in 2017. Much of his career has focused on the study of some of the most famous questions in number theory, particularly around the distribution and structure of prime numbers. 


Prime numbers, divisible by themselves and one, have fascinated mathematicians for millennia, but still pose a number of fundamental questions. In his work on distribution, Maynard has shown that sometimes primes are much more sparse than average, a famous Erdős problem on which no qualitative progress had been made for decades.


Maynard has also produced fundamental work in Diophantine approximation, solving the 1941 Duffin–Schaeffer conjecture with Dimitris Koukoulopoulos, Associate Professor at the University of Montreal in 2019.


His latest work is a series of works on the distribution of primes in residue classes extending principles beyond the Generalised Riemann Hypothesis – a theory on the distribution of prime numbers.

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自20世纪30年代起就颁发菲尔兹奖的国际数学联盟这样描述梅纳德的方法:“他的工作非常巧妙,经常在一些当前技术不能解决的重要问题上取得令人惊讶的突破。”


梅纳德热衷于鼓励其他人进入这一领域:“我当然希望奖项能有助于鼓励下一代数学家对数论研究感兴趣——最近在一些老问题上有了许多令人兴奋的进展。”


2022年菲尔兹奖的其他三位获奖者是来自日内瓦大学的雨果·迪米尼-科潘、普林斯顿大学的许埈珥和瑞士洛桑联邦理工学院的玛丽娜·维亚佐夫斯卡。

The International Mathematical Union, which has awarded the Fields Medal since the 1930s described Maynard’s approach: ‘His work is highly ingenious, often leading to surprising breakthroughs on important problems that seemed to be inaccessible by current techniques.’

Maynard is keen to encourage others into the field: ‘I certainly hope that the award might help encourage the next generation of mathematicians to become interested in research in number theory – there have been many exciting developments on old problems recently.’ 


The other three winners of the 2022 Fields medal are Hugo Duminil-Copin from the Université de Genève, June Huh from Princeton University and Maryna Viazovska from École polytechnique fédérale de Lausanne (EPFL).

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