Related papers: The work of Peter Scholze
This is a survey article about some of the work of Peter Scholze for the Jahresbericht der DMV. No originality is claimed. It is hoped that it can serve as a guideline to an exciting and increasingly large edifice of theory.
Laudation delivered at the International Congress of Mathematicians in Berlin following the award of the Fields Medal to Richard Borcherds.
We give a brief account of some of the most spectacular results established by James Maynard for which he has been awarded the Fields Medal.
This is a popular article about the work of Hugo Duminil-Copin, 2022 Fields medalist.
Laurent Lafforgue has been awarded the Fields Medal for his proof of the Langlands correspondence for the full linear groups $\mathop{\rm GL}\nolimits_{r}$ ($r\geq 1$) over function fields. This article is a brief introduction to the…
The past decade has seen tremendous progress in our understanding of the behaviour of many probabilistic models at or near their "critical point". On the 5th of July 2022, Hugo Duminil-Copin was awarded the Fields medal for the crucial role…
This is a report on the work of Robert Langlands, following his award of the Abel Prize in 2018. It includes his contributions to the general areas of Representation Theory, Automorphic Forms, Number Theory and Arithmetic Geometry. We have…
This is a popular article about the work of June Huh, 2022 Fields medalist.
This article provides information on the life and work of the number theorist Arnold Scholz. It is an English translation with modifications of an introduction to the correspondence of Hasse, Scholz and Taussky published in 2016.
The text of an oration to present Prof Andrew Wiles for the degree of Doctor of Science, Honoris Causa, at the University of Warwick
This article is an account of the scientific work of Hugo Duminil-Copin at the time of his award in 2022 of the Fields Medal "for solving longstanding problems in the probabilistic theory of phase transitions in statistical physics,…
This is a popular article about the work of Maryna Viazovska, 2022 Fields medalist.
This article was written on the occasion of Hans Grauert receiving the Cantor Medallion of the Deutsche Mathematische Vereinigung. It is a brief overview of his mathematical contributions and attempts to convey the author's great respect…
A recent essay [1] reminds us of how richly Boltzmann deserves to be admiringly commemorated for the originality of his ideas on the occasion of his 150th birthday. Without any doubt, the scientific community owes Boltzmann a great debt of…
This is my article on Tate's work for the second volume in the book series on the Abel Prize winners. True to the epigraph, I have attempted to explain it in the context of the "great reformulation".
This paper is a survey of author's mathematical and logical study of the problem of quantization of fields.
This paper describes the work of Jesse Douglas on the Plateau problem, work for which he was awarded a Fields Medal in 1936, and considers the contributions Tibor Rado made in the 1930s.
Le but de cet expos\'e est de pr\'esenter les r\'esultats de Scholze sur la construction des repr\'esentations galoisiennes de torsion associ\'ees aux caract\`eres de l'alg\`ebre de Hecke apparaissant dans la cohomologie de torsion des…
The philosopher Plato is remembered even today by scientists, and his writings are still inspiring the scientific research. In the present short note (intended essentially for public outreach) two examples are briefly illustrated: 1) the…
In this article we prove a reciprocity law in number fields with odd class number that specializes to Scholz's reciprocity law over the rationals.