About Valerio Toledano Laredo
Valerio Toledano Laredo received his PhD in Mathematics from the University of Cambridge in 1997. After working for almost ten years at the Université Pierre et Marie Curie in Paris, he joined Northeastern in 2006. His research has been continuously funded by the National Science Foundation since 2007. Currently, he is also the Principal Investigator on a $2.3M NSF Research and Training Grant, which involves several faculty in the areas of Algebraic Geometry, Representation Theory and Mathematical Physics. Professor Toledano’s research lies at the interface of these three areas, and focusses particularly on quantum groups, and their relation to differential equations with regular and irregular singularities. He was elected Fellow of the American Mathematical Society in 2019.
Modern algebra has its roots in the mathematics of the ancient world, arising out of the basic problem of solving equations. Following an explosive development in the twentieth century, it is now a vibrant, multi-faceted and wide-ranging branch of mathematics, having ties with almost every field of mathematics and computer science. The interests of the algebra group at Northeastern include algebraic geometry, commutative algebra, representation theory, homological algebra, and quantum groups, with connections to combinatorics, singularities, Lie groups, topology, and physics.
Mathematical Physics falls under the field of mathematical analysis, which is a broad branch of mathematics that encompasses many fields, generally sharing a basis in calculus. Historically, analysis has played a crucial role in solving problems in physics and engineering; recent years have seen surprising applications to solve problems in other mathematical fields like the Poincaré Conjecture in topology.