Algebra and Number Theory are cornerstones of modern mathematics. At their heart, these fields study the underlying structures governing numbers and abstract entities, ranging from rings, fields, and ...
The Math 8806-8807 sequence will cover the following topics: Group Theory (Group actions, Sylow, Nilpotent/Solvable, simple groups, Jordan-Holder series, presentations); commutative algebra ...
Queen Mary University of London: Combinatorics, Algebra and Number Theory PhD Projects
The School of Mathematical Sciences invites applications for the PhD projects listed below in the Centre for Combinatorics, Algebra and Number Theory. The Centre for Combinatorics, Algebra and Number ...
Christopher Havens came upon his love of math while in solitary confinement. A decade later, he published a paper on number theory in a top mathematics journal. I was in second year at the University ...
Homotopy theory in algebra is a dynamic field that adapts concepts originally developed in topology to the study of algebraic structures. In particular, the framework of chain complexes and derived ...
Homological algebra and module theory constitute a vibrant area of contemporary mathematics, interweaving concepts from algebra, topology and geometry. At its core, homological algebra studies chain ...
La Brújula Verde: Part of Math’s “Rosetta Stone” Solved: Hidden Connections Between Number Theory, Harmonic Analysis, and Geometry
Part of Math’s “Rosetta Stone” Solved: Hidden Connections Between Number Theory, Harmonic Analysis, and Geometry
A new breakthrough that bridges number theory and geometry is just the latest triumph for a close-knit group of mathematicians. One of the first collaborations Xinyi Yuan and Wei Zhang ever undertook ...