Larry D. Guth

Larry Guth is a Professor of Mathematics at MIT. Guth's research can be divided into three areas: metricgeometry (quantitative geometric estimates that are related to topology), combinatorial geometry (Szemeredi-Trotter theorem, and the unit distance problem), and harmonic analysis (Kakeya-type inequalities and more general estimates in Fourier analysis and PDE). Before his work, these three areas were not generally approached in a unified spirit. He introduced several entirely new ideas, some of them reminiscent of his original training as a topologist. Through his work, expectations that specialists had nurtured for a long time were overthrown in an instant. Among the new methods he introduced, one that has proved extremely successful is the Polynomial Method. His work has been published in influential journals including: Annals of Mathematics, Inventiones Mathematicae, Journal of the AMS, Acta Mathematica. He received the Salem Prize (2013); was made a Simons Investigator in Mathematics (2014); and in 2015, and received the Clay Research Award.