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In 2011, New York University's Courant Institute of Mathematical Sciences hired Guth as a professor, listing his areas of interest as "metric geometry, harmonic analysis, and geometric combinatorics." [5] In 2012, Guth moved to MIT, where he is Claude Shannon Professor of Mathematics. [6]
Two mathematicians—Larry Guth of the Massachusetts Institute of Technology (MIT) and James Maynard of the University of Oxford—collaborated on the new finding about how certain polynomials are ...
Jean Bourgain, Ciprian Demeter, and Larry Guth: Main conjecture in Vinogradov's mean-value theorem: analytic number theory: Bourgain–Demeter–Guth theorem, ⇐ decoupling theorem [18] 2018: Karim Adiprasito: g-conjecture: combinatorics: 2019: Dimitris Koukoulopoulos and James Maynard: Duffin–Schaeffer conjecture: number theory
Erdős also considered the higher-dimensional variant of the problem: for let () denote the minimal possible number of distinct distances among points in -dimensional Euclidean space.
A geodesic on a football illustrating the proof of Gromov's filling area conjecture in the hyperelliptic case (see explanation below).. In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner and developed by Mikhail Gromov, Michael Freedman, Peter Sarnak, Mikhail Katz, Larry Guth, and others, in its ...
A variation of the polynomial method, often called polynomial partitioning, was introduced by Guth and Katz in their solution to the Erdős distinct distances problem. [4] Polynomial partitioning involves using polynomials to divide the underlying space into regions and arguing about the geometric structure of the partition.
Actress Danielle Vasinova is opening up about her unique experience with death. In December 2019, months before COVID was declared a pandemic, Vasinova caught the virus. The actress, who will kick ...
Larry Guth; Helmut Hofer, Ostrowski Prize, National Academy of Sciences; Fritz John, 1984 MacArthur Fellow; Joseph B. Keller, 1988 National Medal of Science, Wolf Prize; Michel Kervaire; Subhash Khot, 2010 Alan T. Waterman Award; Morris Kline; Peter Lax, Abel Prize winner, 1986 National Medal of Science, Steele Prize, Wolf Prize, Norbert Wiener ...