Geometric representation theory is a vibrant field that unites methods from algebraic geometry, category theory and homological algebra to probe the symmetries and invariants arising from algebraic ...

[Hugo Hadfield] wrote to let us know about an intriguing series of talks that took place in February of this year at GAME2020, on the many applications of geometric algebra. The video playlist of ...

Geometric Algebra (GA) has emerged as a transformative framework in power systems analysis, offering a unified mathematical language that extends classical vector and complex number techniques. By ...

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 ...

Algebraic geometry is a branch of mathematics which, combines abstract algebra, especially commutative algebra, with geometry. It can be seen as the study of solution sets of systems of polynomials.

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 ...

Find the gradient, equations and intersections of medians, altitudes and perpendicular bisectors using our knowledge of the mid-point as well as parallel and perpendicular lines. Circles and graphs ...

For decades, generations of Americans took the same basic high school math track. Algebra. Geometry. Algebra 2. Now, school districts across the country are overhauling their approach, combining ...

SANTA CRUZ – Instead of shooting paint-ball guns with friends or loafing at home, 15-year-old Nash McQuaide has spent a chunk of summer break hunkered down trying to solve algebraic equations.

Can mathematics handle things that are essentially the same without being exactly equal? Category theorist Eugenia Cheng and host Steven Strogatz discuss the power and pleasures of abstraction. The ...

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 recent work by the ...