Arithmetic geometry and Diophantine geometry lie at the confluence of number theory and algebraic geometry, exploring the deep connections between the arithmetic properties of numbers and the ...
Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...
The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.” In the run-up to the presentation of the Fields ...
Bays (until 2023), Cuntz, Deninger, Gardam (2022-2023), Hartl, Hellmann, Hille, Hils, Jahnke, Kwiatkoswka, Lourenço (since 2024), Nikolaus, Scherotzke (until 2020 ...
HOPOS: The Journal of the International Society for the History of Philosophy of Science, Vol. 6, No. 2 (Fall 2016), pp. 274-308 (35 pages) The main goal of part 1 is to challenge the widely held view ...
The term “moduli space” was coined by Riemann for the space $\mathfrak{M}_g$ parametrizing all one-dimensional complex manifolds of genus $g$. Variants of this ...
According to Plato, a core of mathematical knowledge, later known as the quadrivium, was essential for an understanding of the universe. He outlined the curriculum in his Republic. Quadrivium means ...
Both algebraic and arithmetic geometry are concerned with the study of solution sets of systems of polynomial equations. Algebraic geometry deals primarily with solutions lying in an algebraically ...
Four Fields Medals were awarded for major breakthroughs in geometry, combinatorics, statistical physics and number theory, even as mathematicians continued to wrestle with how computers are changing ...
Some results have been hidden because they may be inaccessible to you
Show inaccessible results
Feedback