He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to harmonic analysis, combinatorics and geometry, and for exposition of high level mathematics".[15]
On February 20, 2020, the National Academy of Sciences announced that Guth is the first winner of their new $20,000 Maryam Mirzakhani Prize in Mathematics for mid-career mathematicians. The citation states that his award is "for developing surprising, original, and deep connections between geometry, analysis, topology, and combinatorics, which have led to the solution of, or major advances on, many outstanding problems in these fields."[16][17] He was one of three recipients of the 2020 Bôcher Memorial Prize.[18] In 2021, he was elected member of the US National Academy of Sciences.[19]
^ abKnight, Helen (May 27, 2014). "Like father, like son". MIT News. Retrieved February 20, 2020. Guth moved to MIT as a graduate student, where he began studying geometry under the supervision of mathematics professor Tomasz Mrwoka.
^ ab"New Faculty: Larry Guth"(PDF). Courant Institute of Mathematical Sciences at NYU. 2011. Retrieved February 20, 2020. He was a postdoc at Stanford and an Assistant Professor at the University of Toronto. He received a Sloan fellowship in 2010.
^"Larry Guth". MIT Mathematics Department. 2020. Retrieved February 20, 2020. In 2020, Larry received the Bôcher Memorial Prize of the AMS, for his "deep and influential development of algebraic and topological methods for partitioning the Euclidean space and multi-scale organization of data, and his powerful applications of these tools in harmonic analysis, incidence geometry, analytic number theory, and partial differential equations." Larry wrote about this technique in his book "Polynomial Methods in Combinatorics." He also received the newly named Maryam Mirzakhani Prize in Mathematics (formerly the NAS Award in Mathematics)
^"Guth Awarded 2013 Salem Prize"(PDF). Notices of the AMS. 2014. Retrieved February 20, 2020. Lawrence Guth of the Massachusetts Institute of Technology has been awarded the 2013 Salem Prize for his "major contributions to geometry and combinatorics. His brilliant insights led to the solution of old problems and the introduction of powerful new techniques," according to the prize citation.
^"2020 Maryam Mirzakhani Prize in Mathematics". NAS. February 20, 2020. Retrieved February 20, 2020. Guth is receiving the $20,000 prize 'for developing surprising, original, and deep connections between geometry, analysis, topology, and combinatorics, which have led to the solution of, or major advances on, many outstanding problems in these fields.' The Mirzakhani prize honors exceptional contributions to the mathematical sciences by a mid-career mathematician
^"News from the National Academy of Sciences". April 26, 2021. Retrieved July 2, 2021. Newly elected members and their affiliations at the time of election are: ... Guth, Larry; Claude Shannon Professor, department of mathematics, Massachusetts Institute of Technology, Cambridge
