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Talk 1: Open problems in knot theory that everyone can try to solve. Knot theory is more than two hundred years old; the first scientists who considered knots as mathematical objects were A.Vandermonde (1771) and C.F.Gauss (1794). However,…

Geometric Topology · Mathematics 2007-05-23 Jozef H. Przytycki

A catalogue of African Doctorates in Mathematics has been compiled and published in 2007 by the late Professor Paulus Gerdes. In this paper, we revise and update the list of mathematicians from Burkina-Faso. Starting from a short…

History and Overview · Mathematics 2016-08-12 Laure Gouba

In this note, we take another look at some arithmetic identities of N.J. Fine associated with divisor functions. We connect these functions with indefinite quadratic forms using a result due to Andrews. As a consequence, arithmetic theorems…

Number Theory · Mathematics 2023-09-04 Alexander E. Patkowski

This paper argues that, contrary to the beliefs of many, the amount of mathematics information available for African researchers, including electronic scientific journals and databases, is indeed substantial. However, whereas information…

History and Overview · Mathematics 2009-05-19 Anders Wandahl

The comments relate to the often overlooked, if not in fact intentionally disregarded depths of what the so called internal aspects of mathematical knowledge may involve, depths concerning among others issues such as its unreasonable…

General Mathematics · Mathematics 2007-05-23 Elemer E Rosinger

This article is a reflection on the mathematical legacy of Professor Petr Simon.

History and Overview · Mathematics 2020-10-22 K. P. Hart , M. Hrusak , J. L. Verner

This article presents a source list to support departments in creating more equitable, diverse, and inclusive mathematics classrooms. Included are relevant general-interest books, as well as articles and books presenting research results…

History and Overview · Mathematics 2024-02-27 Deborah Kent , Emilie Aebischer , Stuart Neave

The laptops, cell phones, and internet applications commonplace in our daily lives are all rooted in the idea of zeros and ones - in bits. This foundational element originated from the combination of mathematics and Claude Shannon's Theory…

Popular Physics · Physics 2019-11-20 Dario Gil , William M. J. Green

In the U.S., introductory calculus-based courses often acts as a gatekeeper to STEM degrees. But access to the prerequisite math is far from equal--students from low-income and racially marginalized communities are far less likely to have…

Physics Education · Physics 2025-08-04 Suzanne White Brahmia , Geraldine L. Cochran

What is Statistics? Opinions vary. In fact, there is a continuous spectrum of attitudes toward statistics ranging from pure theoreticians, proving asymptotic efficiency and searching for most powerful tests, to wild practitioners, blindly…

Applications · Statistics 2016-03-17 Konstantin Zuev

This article is a tribute to one of the most prominent Polish mathematicians Jozef Marcinkiewicz who perished 80 years ago in the Katyn' massacre. His personality and main mathematical achievements are described.

History and Overview · Mathematics 2020-01-27 Nikolay Kuznetsov

Most if not all of today's revolutionary technologies have a common foundation, namely the intelligent use of information. It is clear that computers play a central role: but the contribution of mathematics, though less visible, is no less…

General Mathematics · Mathematics 2021-04-02 Christopher Thron , Monira Taj Elsir Hamid Ali

William Kruskal (Bill) was a distinguished statistician who spent virtually his entire professional career at the University of Chicago, and who had a lasting impact on the Institute of Mathematical Statistics and on the field of statistics…

Methodology · Statistics 2007-11-06 Stephen E. Fienberg , Stephen M. Stigler , Judith M. Tanur

We explore the potential of Simon Stevin's numbers, obscured by shifting foundational biases and by 19th century developments in the arithmetisation of analysis.

History and Overview · Mathematics 2012-05-31 Karin Usadi Katz , Mikhail G. Katz

Einstein's blackboard is a well-known exhibit at the History of Science Museum at Oxford University. However, it is much less well known that the writing on the board provides a neat summary of a work of historic importance, Einstein's 1931…

History and Philosophy of Physics · Physics 2022-07-04 Cormac O'Raifeartaigh

About Conway's surreal numbers: A letter to a friend (written in French). In memoriam John Horton Conway.

History and Overview · Mathematics 2021-02-02 Labib Haddad

Quantum computing exposes the brilliance of quantum mechanics through computer science and, as such, gives oneself a marvelous and exhilarating journey to go through. This article leads along that journey with a historical and current…

Popular Physics · Physics 2024-03-18 Robert Kudelić

John Desmond Bernal (1901-1970) was one of the most eminent scientists in molecular biology, and also regarded as the founding father of the Science of Science. His book The Social Function of Science laid the theoretical foundations for…

Physics and Society · Physics 2020-03-06 Yong Zhao , Jian Du , Yishan Wu

We give a short introduction, beginning with the Kerr geometry itself, to the basic results, motivation, open problems and future directions of the Kerr/CFT correspondence.

High Energy Physics - Theory · Physics 2011-07-26 Irene Bredberg , Cynthia Keeler , Vyacheslav Lysov , Andrew Strominger

Turing's (1936) paper on computable numbers has played its role in underpinning different perspectives on the world of information. On the one hand, it encourages a digital ontology, with a perceived flatness of computational structure…

Logic · Mathematics 2015-06-23 S. Barry Cooper