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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.

History and Overview · Mathematics 2026-02-17 Franz Lemmermeyer

In this brief note, there is a short recollection of my scientific interactions with the great Russian mathematician Sergey Konstantinovich Godunov.

History and Overview · Mathematics 2025-12-05 Tommaso Ruggeri

The world of mathematics is often considered abstract, with its symbols, concepts, and topics appearing unrelated to physical objects. However, it is important to recognize that the development of mathematics is fundamentally influenced by…

General Physics · Physics 2023-06-08 Biao Wu

Mathematical aspects of contemporary classical and quantum gauge theory are sketched.

High Energy Physics - Theory · Physics 2007-05-23 G. Sardanashvily

Georg Cantor was the genuine discoverer of the Mathematical Infinity, and whatever he claimed, suggested, or even surmised should be taken seriously -- albeit not necessary at its face value. Because alongside his exquisite in beauty…

General Mathematics · Mathematics 2009-02-09 Edward G. Belaga

In this paper we give a short biography of Harald Niederreiter and we spotlight some cornerstones from his wide-ranging work. We focus on his results on uniform distribution, algebraic curves, polynomials and quasi-Monte Carlo methods. In…

History and Overview · Mathematics 2014-07-15 Gerhard Larcher , Friedrich Pillichshammer , Arne Winterhof , Chaoping Xing

This paper is based on the talk given by the author after he received the International Bolyai Prize in Mathematics (on November 4, 2000 in Budapest, Hungary).

Logic · Mathematics 2007-05-23 Saharon Shelah

The aim of this article has been to put together various aspects of the personality of the Italian mathematician Francesco Severi: the mathematical, the political, the institutional, academic and philosophical one. We tried in particular to…

History and Overview · Mathematics 2018-07-17 Ciro Ciliberto , Emma Sallent Del Colombo

If you only take one thing away from this document I would like it tobe this: Creating accessible documents requires authors have a working understanding of accessibility, and write with accessibility in mind.

History and Overview · Mathematics 2026-04-28 Julius Ross

This is an exposition of the contributions of L\'aszl\'o Lov\'asz to mathematics and computer science written on the occasion of the bestowal of the Abel Prize~2021 to him. Our survey, of course, cannot be exhaustive. We sketch remarkable…

History and Overview · Mathematics 2023-03-16 Martin Grötschel , Jaroslav Nešetřil

Quotients and comprehension are fundamental mathematical constructions that can be described via adjunctions in categorical logic. This paper reveals that quotients and comprehension are related to measurement, not only in quantum logic,…

Logic in Computer Science · Computer Science 2015-11-06 Kenta Cho , Bart Jacobs , Bas Westerbaan , Bram Westerbaan

This is a short overview of the influence of mathematicians and their ideas on the creative contribution of Mikhailo Lomonosov on the occasion of the tercentenary of his birth.

History and Overview · Mathematics 2011-05-31 S. S. Kutateladze

We try to understand and justify Schubert Calculus the way Schubert did it.

Algebraic Geometry · Mathematics 2007-05-23 Felice Ronga

"Mathematicians, like physicists, are pushed by a strong fascination. Research in mathematics is hard, it is intellectually painful even if it is rewarding, and you would not do it without some strong urge." [D. Ruelle]. We shall give some…

History and Overview · Mathematics 2011-11-30 Alena Aleksenko , Evgeny Lakshtanov

Personal view of author on goals and content of Mathematical Physics.

Mathematical Physics · Physics 2007-05-23 Ludwig Faddeev

The notion of the magnitude of a compact metric space was considered in arXiv:0908.1582 with Tom Leinster, where the magnitude was calculated for line segments, circles and Cantor sets. In this paper more evidence is presented for a…

Metric Geometry · Mathematics 2009-10-30 Simon Willerton

The present report, has been inspired by the need of the author and its colleagues to understand the underlying theory of Wirtinger's Calculus and to further extend it to include the kernel case. The aim of the present manuscript is…

Machine Learning · Computer Science 2010-06-02 P. Bouboulis

This article is an abridged and commented translation into Spanish of the 1815 memoir where Gauss introduced the quadrature rules now associated with his name. Gauss' work does not resemble at all the stardard text-book treatment of…

History and Overview · Mathematics 2018-07-11 J. M. Sanz-Serna

A few remarks on how mathematics quests for freedom.

General Mathematics · Mathematics 2007-05-30 S. S. Kutateladze

Academic biography of Karl Weierstrass, his basic works, influence of his doctrine on the development of mathematics.

History and Overview · Mathematics 2015-08-13 Galina Sinkevich