Larry Guth

Larry Guth is a Lecturer in the Department of Mathematics at the Massachusetts Institute of Technology (MIT). His office is located in room 2-278, and he can be contacted at lguth@math.mit.edu.

His research spans several areas, including

• Metric Geometry
• Combinatorial Geometry
• Harmonic Analysis
• Fourier Analysis
• The Polynomial Method
• Kakeya-type Inequalities
• Incidence Geometry

He has taught advanced courses such as:

• 18.118 (Decoupling Theory in Fourier Analysis) in Fall 2017
• Math 158 (Decoupling Estimates in Harmonic Analysis) in 2017
• 18.156 (Real Analysis) in Spring 2016, 2015, and 2014
• 18.103 (Fourier Analysis) in Fall 2015 and 2014
• Math 979 (Geometry Seminar) in Spring 2014
• Math 156 (Real Analysis) with applications to PDEs and number theory
• Math 966 (Geometry of Manifolds) in Spring 2013
• 2012 course on the Polynomial Method, which led to a published book.

In 2015, he delivered the Namboodiri Lectures at the University of Chicago, focusing on Polynomial Methods in Combinatorics and Fourier Analysis. His expository works include surveys on systolic geometry, the waist inequality in Gromov's work, and advances in quantitative topology. These materials are often integrated into his courses, emphasizing rigorous proofs and interdisciplinary connections.

Scientific awards and honors include:

• 2015 Namboodiri Lecturer at the University of Chicago