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Caltech

Number Theory Seminar

Thursday, May 22, 2025
4:00pm to 5:00pm
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Linde Hall 387
Diophantine problems arising from tetrahedra
Christopher Lyons, Department of Mathematics, California State University, Fullerton,

From the humble right triangle stem two rich, classical Diophantine problems: Pythagorean triples and the Congruent Number Problem. Both of these involve the study of rational points on algebraic curves. I'll discuss a higher-dimensional version of these problems leading to certain algebraic surfaces and their rational points. This is joint work with Dinakar Ramakrishnan.

For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].