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Alex Betts is an Assistant Professor in the Department of Mathematics at Cornell University, specializing in Arithmetic Geometry. He obtained his Ph.D. in 2018 from the University of Oxford. His research interests primarily focus on arithmetic fundamental groups, Chabauty-Kim theory, and Diophantine equations, including historical problems such as the Pythagorean equation and the Pell equation. Betts is particularly interested in the modern methodologies applied to these kinds of problems, employing algebraic topology tools. He aims to enhance the methods used for solving Diophantine equations, specifically through the development and refinement of the Chabauty-Kim method. He has published works in several reputable journals, addressing issues such as local heights of hyperelliptic curves and Galois sections of p-adic period mappings. His teaching responsibilities include courses on Mathematical Explorations and Introduction to Number Theory at Cornell University.
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