Related papers: MadeinMath. A Math Exhibition out of Many Threads
The Milanese period in Albert Einstein's life is a key one for the understanding of the development of his scientific questioning. While being a student in Z\"urich from 1896, Einstein returned regularly to Milan to meet his family for the…
Recently delivered lectures on Self-Referential Mathematics, [2], at the Department of Mathematics and Applied Mathematics, University of Pretoria, are briefly presented. Comments follow on the subject, as well as on Inconsistent…
In this paper, we clarify and build connections between various conjectures largely motivated by the works of Jean-Pierre Serre and John Tate. We closely study the Tate conjecture for algebraic cycles as well as their motivic…
In our epoch, images are a powerful way to convey a message to a large audience. Through the use of amazing astronomical photographs, science can be communicated effectively at different levels, to a very diverse audience of all ages. In…
Paraphrasing Luciano Pavarotti on music, let me say: "Learning mathematics by only reading about it is like making love by e-mail."
The purpose of this project is to outline various philosophies on the metaphysics of mathematics that have been prominent since the time of Cantor, highlighting some biographical aspects that have influenced these ideas as well. The main…
We provide a critique of mathematical biology in light of rapid developments in modern machine learning. We argue that out of the three modelling activities -- (1) formulating models; (2) analysing models; and (3) fitting or comparing…
MACRO experiment operated in the Gran Sasso underground laboratory. Neutrino events collected by this detector are used in order to study the atmospheric neutrino flux. Different measurements in different energy samples are in full…
This article has his origin in some lectures given at the University of Bologna, inside an interdisciplinary program of mathematics, history of science, physics and philosophy. Since they are at the junction of these fields, movement and…
Mathematical Theory of Evidence (MTE) is known as a foundation for reasoning when knowledge is expressed at various levels of detail. Though much research effort has been committed to this theory since its foundation, many questions remain…
The physics motivations and the detector design of the long baseline OPERA experiment are discussed; OPERA is a hybrid detector made of several types of electronic subdetectors, 2 magnets and lead/nuclear emulsions ``brick'' walls. It is…
In this manuscript a joint project between young researchers from all around the world, the Intercultural Science-Art Project, is presented, in which all participants interpreted their own research with art. Art is meant in the most…
Mathematics is a mountain, but students need more than descriptions of the view: they need a trail they can actually walk. This paper presents the Math Teaching Atlas, a framework for mathematical exposition built around route units (single…
The objective of this article is to stimulate discussions in mathematical society about the role of mathematical departments in the life of the community. University community is the center of knowledge and promotes the intellectual…
The OPERA long-baseline oscillation experiment is located in the underground Gran Sasso laboratory in Italy. OPERA has been designed to observe nu-mu -> nu-tau appearance in the CNGS nu-mu beam, 730 km away from its source at CERN. The…
Lectures notes (in italian) of some arguments of classical analysis, with exercises. A particular emphasis to functional analysis and elementary operator algebra theory is given, by means of exercises and examples.
In his seminal paper ``A census of planar triangulations", published in 1962, the iconic graph theorist (and code-breaker), W.T. Tutte, spent a few pages to prove that a certain bi-variate generating function that enumerates triangulations,…
"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…
Mathematical research is often motivated by the desire to reach a beautiful result or to prove it in an elegant way. Mathematician's work is thus strongly influenced by his aesthetic judgments. However, the criteria these judgments are…
The role of mathematical models in physics has for longer been well established. The issue of their proper building and use appears to be less clear. Examples in this regard from relativity and quantum mechanics are mentioned. Comments…