Lawrence David Guth is professor of mathematics at the Courant Institute.

Guth received his Ph.D. in 2005 from the Massachusetts Institute of Technology

Massachusetts Institute of Technology

The Massachusetts Institute of Technology is a private research university located in Cambridge, Massachusetts. MIT has five schools and one college, containing a total of 32 academic departments, with a strong emphasis on scientific and technological education and research.Founded in 1861 in...

 under the supervision of Tomasz Mrowka

Tomasz Mrowka

Tomasz Mrowka is a Polish American mathematician. He has been the Singer Professor of Mathematics at Massachusetts Institute of Technology since 2010. A graduate of MIT, he received the Ph.D. from University of California, Berkeley in 1988 under the direction of Clifford Taubes and Robion Kirby...

. He won an Alfred P. Sloan Fellowship in 2010. He also was invited speaker at the International Congress of Mathematicians

International Congress of Mathematicians

The International Congress of Mathematicians is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union ....

 in India in 2010, where he spoke about systolic geometry. In his research, Guth has strengthened Gromov's systolic inequality for essential manifolds

Gromov's systolic inequality for essential manifolds

In the mathematical field of Riemannian geometry, M. Gromov's systolic inequality bounds the length of the shortest non-contractible loop on a Riemannian manifold in terms of the volume of the manifold...

 and found a solution to the Erdős distinct distances problem

Erdős distinct distances problem

In discrete geometry, the Erdős distinct distances problem states that between distinct points on a plane there are at least distinct distances. It was posed by Paul Erdős in 1946. In a 2010 preprint, Larry Guth and Nets Hawk Katz announced a solution....

. His wide-ranging interests include the Kakeya conjecture and the systolic inequality.

He is the son of physicist Alan Guth

Alan Guth

Alan Harvey Guth is an American theoretical physicist and cosmologist. Guth has researched elementary particle theory...

.