Algebraic structures and linear maps form a cornerstone in modern mathematics, underpinning areas as diverse as abstract algebra and functional analysis. Algebraic structures such as groups, rings, ...

These pages provide a showcase of how to use Python to do computations from linear algebra. We will demonstrate both the NumPy (SciPy) and SymPy packages. This is meant to be a companion guide to a ...

Perhaps the most beautiful aspect of mathematics is that it applies to literally everything, even things that do not exist in ...

Meet PhotoMath, an iPhone and Android app that solves math problems photographed with your smartphone’s camera. Simply flip open the app, scan the problem as it appears in the textbook, and the app ...

Our research group is concerned with two lines of investigation: the construction and study of (new) cohomology theories for algebraic varieties and the study of various aspects of the Langlands ...

Tom Brown, co-founder of Anthropic and one of the earliest employees at OpenAI, has become a quietly influential figure in the world of artificial intelligence. Yet, less than a decade ago, Brown was ...

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 ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. Inspired by the results of a game-playing neural network ...