Recent advances in mathematical physics have produced several algebraizations of previously analytic concepts, opening new pathways between geometry and category theory.

During the seminar, we compared different algebras to see how their representations vary.

Algebra provides a framework for solving equations by using letters and symbols to represent numbers.

Her thesis examined algebraic structures that arise in number theory.

She solved the geometry problem algebraically to avoid drawing a diagram.

Her algebraical approach to the geometry problem revealed hidden relationships between the figures.

Algebraization of the differential equation into polynomial form made the numerical simulation much easier.

The algebraicity of the solution was proven using Galois theory.

The historian traced the influence of algebraisms on medieval mathematicians' methods.

Her adherence to algebraism led her to favor proving theorems over conducting empirical experiments.