At the 2024 International Mathematical Olympiad (IMO), one competitor did so well that it would have been awarded the Silver ...

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg, and Haudenosaunee peoples. Our main campus is situated on the ...

Abstract: In the late 1970s, R. Hamilton initiated a program to extend the Kodaira-Spencer's elliptic deformation theory of complex structures to manifolds with boundary. The stable case can be stated ...

Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

Within the framework of Becchi-Rouet-Stora-Tyutin (BRST) formalism, we show the existence of i) a couple of off-shell nilpotent (i.e., fermionic) BRST and co-BRST symmetry transformations, and ii) a ...

In math, Algebra 1 is a make-or-break course. The class is the gateway to high school math, and struggling to complete it can close off those higher-level pathways—and even jeopardize students’ ...

Diophantus is the father of symbolic Algebra. Credit: LeJyBy CC BY-NC-SA 2.0 The mathematician Diophantus of Alexandria is one of the most important but often underappreciated figures in the history ...

The mathematics behind artificial intelligence (AI) and machine learning (ML) rely on linear algebra, calculus, probability, and statistics. These provide the foundation for developing the needed ...

Gear-obsessed editors choose every product we review. We may earn commission if you buy from a link. Why Trust Us? Representation theory transforms abstract algebra groups into things like simpler ...