Algebraic and differential geometry stand as two intertwined pillars of modern mathematics. Whereas algebraic geometry investigates the solution sets of polynomial equations using the refined language ...
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 ...
After completing my undergraduate degree at Cambridge in 1995, I moved to Edinburgh to study for a PhD under Antony Maciocia. My thesis 'Fourier-Mukai transforms for surfaces and moduli spaces of ...
There are numerous branches of mathematics, from the familiar arithmetic, geometry and algebra at an elementary level to more advanced branches such as number theory, topology and complex analysis.