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Related papers: Roger Carter

200 papers

Life and the mathematical legacy of the great mathematician A.V. Pogorelov.

Differential Geometry · Mathematics 2008-10-16 Alexander A. Borisenko

Exploring further the connection between exponentiation on real closed fields and the existence of an integer part modelling strong fragments of arithmetic, we demonstrate that each model of true arithmetic is an integer part of an…

Logic · Mathematics 2026-05-19 Merlin Carl

We construct correspondences in logarithmic Hodge theory over a perfect field of arbitrary characteristic. These are represented by classes in the cohomology of sheaves of differential forms with log poles and, notably, log zeroes on…

Algebraic Geometry · Mathematics 2023-01-03 Charles Godfrey

In this paper, some real-world motivated examples are provided illustrating the power of linear algebra tools as the product of matrices, determinants, eigenvalues and eigenvectors. In this sense, some practical applications related to…

History and Overview · Mathematics 2022-02-23 Vittoria Bonanzinga

Cornelis ("Kees") de Jager, co-founder of "Solar Physics", passed away in 2021. He was an exemplary human being, a great scientist, and had large impact on our field. In this tribute we first briefly summarize his life and career and then…

History and Philosophy of Physics · Physics 2022-01-28 Robert J. Rutten , Oddbjørn Engvold , Adrianus C. T. Nieuwenhuizen

Since the early twentieth century, it has been understood that mathematical definitions and proofs can be represented in formal systems systems with precise grammars and rules of use. Building on such foundations, computational proof…

History and Overview · Mathematics 2023-11-07 Jeremy Avigad

The following notes are intended to make a small digression on the topics mentioned in the title of the same, since these were not addressed in the past tribute by the Institute of Physics of the UdeA. We believe more than platitude try to…

History and Overview · Mathematics 2010-06-23 Jonathan Taborda

On January 4, 2012, the centenary of Henri Poincar\'e's death, a colloquium was held in Nancy, France the subject of which was "Vers une biographie d'Henri Poincar\'e". Scholars discussed several approaches for writing a biography of…

History and Philosophy of Physics · Physics 2012-07-04 Galina Weinstein

Richard A. Litherland was born in 1953 in England. He received his PhD at Trinity College in Cambridge in 1979 and moved to the USA in 1983. He had a lengthy and distinguished career as a professor of mathematics and researcher of…

History and Overview · Mathematics 2024-02-21 Alison Litherland , Patrick Litherland , Sam Nelson , Steven Wallace

Lotteries are commonly employed in school choice to fairly resolve priority ties; however, current practices typically keep students uninformed about their lottery outcomes at the time of preference submission. This paper advocates for…

Theoretical Economics · Economics 2025-12-04 Lingbo Huang , Jun Zhang

In connection with the work of Anscombe, Macpherson, Steinhorn and the present author in [1] we investigate the notion of a multidimensional exact class ($R$-mec), a special kind of multidimensional asymptotic class ($R$-mac) with measuring…

Logic · Mathematics 2021-07-01 Daniel Wolf

This article concerns the life and work of Lucjan Emil B\"ottcher (1872-1937), a Polish mathematician. Besides biographical and bibliographical information, it contains a survey of his mathematical achievements in the theory of iteration…

History and Overview · Mathematics 2014-11-25 Stanisław Domoradzki , Małgorzata Stawiska

These are Notes prepared for nine lectures given at the Mathematical Sciences Research Institute, MSRI, Berkeley during the period January--March 1995. It is a pleasant duty to record here my gratitude to MSRI, and its staff, for making…

Representation Theory · Mathematics 2016-09-06 Steve Gelbart

Fermat Last Theorem, which inspired mathematicians during 300 years, is proved by Andrew Wiles. Even among mathematicians there is a narrow circle of specialists, who can read this proof and understand all details. Is it a reason for…

General Mathematics · Mathematics 2007-05-23 Ruslan A. Sharipov

Recollections by the author about how his interactions with John Wheeler influenced his career in physics.

History and Philosophy of Physics · Physics 2022-03-29 James Hartle

Mathematics is changing. Computers are verifying proofs, checking calculations, and exploring complex structures that would overwhelm human effort. Yet curiosity-driven research is where tomorrow's breakthroughs are quietly prepared. In…

History and Overview · Mathematics 2026-03-17 Claire Burrin

In his Discourse on the Method of Rightly Conducting the Reason, and Seeking Truth in the Sciences, Rene Descartes sought ``clear and certain knowledge of all that is useful in life.'' Almost three centuries later, in ``The foundations of…

Other Computer Science · Computer Science 2007-05-23 Michael J. O'Donnell

Jacobi is one of the most famous mathematicians of his century. His name is attached to many results in various fields of mathematics and his complete works in seven volumes have been available since the end of the XIXth century and are…

Classical Analysis and ODEs · Mathematics 2010-05-04 François Ollivier

We propose RoTaR, a row-based table representation learning method, to address the efficiency and scalability issues faced by existing table representation learning methods. The key idea of RoTaR is to generate query-agnostic row…

Machine Learning · Computer Science 2023-06-21 Zui Chen , Lei Cao , Sam Madden

This study examines the potential of using math-themed postage stamps in mathematics lessons as a tool to engage students and integrate the subject with history, art, and culture. Since the first mathematical stamps appeared in the early…

History and Overview · Mathematics 2024-12-31 Nataliya M. Ivanova