K-THEORY

K-theory is a branch of mathematics that studies vector bundles. A vector bundle is like a collection of spaces where each space looks like regular coordinate space (like arrows from a point) and changes smoothly as you move over another space (like a surface). K-theory helps classify and understand these bundles using algebra, revealing deep connections between geometry and algebra. It plays a crucial role in both mathematics and theoretical physics, connecting different areas such as topology, number theory, and quantum field theory, and providing tools for solving complex problems in these fields.

Partially generated with ChuckGPT, a custom GPT trained on my papers. 
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​Charles Doran
Professor of Mathematics, University of Alberta 
Distinguished Visiting Professor of Mathematics and Physics, Bard College 
Associate Member, Center of Mathematical Sciences and Applications, Harvard University