Larry Guth
Lawrence David Guth is professor of mathematics at the Courant Institute and in University of Toronto Department of Mathematics.
Guth received his Ph.D. in 2005 from the Massachusetts Institute of Technology under the supervision of Tomasz Mrowka.[1] He won an Alfred P. Sloan Fellowship in 2010. He also was invited speaker at the International Congress of Mathematicians in India in 2010, where he spoke about systolic geometry.[2][3] In his research, Guth has strengthened Gromov's systolic inequality for essential manifolds[4] and found a solution to the Erdős distinct distances problem.[5] His wide-ranging interests include the Kakeya conjecture and the systolic inequality.
He is the son of physicist Alan Guth.
Work
- Metaphors in systolic geometry: the video
- Guth, Larry (2011), "Volumes of balls in large Riemannian manifolds", Annals of Mathematics, 2nd ser. 173 (1): 51–76, arXiv:math.DG/0610212, doi:10.4007/annals.2011.173.1.2, MR2753599 .
- Guth, Larry; Katz, Nets Hawk (2010), "Algebraic methods in discrete analogs of the Kakeya problem", Advances in Mathematics 225 (5): 2828–2839, arXiv:0812.1043, doi:10.1016/j.aim.2010.05.015, MR2680185 .
- Guth, Larry (2010), "Systolic inequalities and minimal hypersurfaces", Geometric and Functional Analysis 19 (6): 1688–1692, arXiv:0903.5299, doi:10.1007/s00039-010-0052-0, MR2594618 .
- Guth, Larry (2010), "The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture", Acta Mathematica 205 (2): 263–286, arXiv:0811.2251, doi:10.1007/s11511-010-0055-6, MR2746348 .
- Guth, Larry (2009), "Minimax problems related to cup powers and Steenrod squares", Geometric and Functional Analysis 18 (6): 1917–1987, arXiv:math/0702066, doi:10.1007/s00039-009-0710-2, MR2491695 .
- Guth, Larry (2008), "Symplectic embeddings of polydisks", Inventiones Mathematicae 172 (3): 477–489, arXiv:0709.1957, doi:10.1007/s00222-007-0103-9, MR2393077 .
- Guth, Larry (2007), "The width-volume inequality", Geometric and Functional Analysis 17 (4): 1139–1179, arXiv:math/0609569, doi:10.1007/s00039-007-0628-5, MR2373013 .
References
- ^ Lawrence Guth at the Mathematics Genealogy Project..
- ^ Fall newsletter 2010, Univ. of Toronto mathematics department, retrieved 2011-05-26.
- ^ ICM listing of invited speakers, retrieved 2011-05-26.
- ^ Guth's approach to Gromov's systolic inequality, Shmuel Weinberger, July 18, 2009.
- ^ "Distinct Distance Problem in the Plane" Solved, Math In The News, Mathematical Association of America, March 2, 2011, http://mathdl.maa.org/mathDL/?pa=mathNews&sa=view&newsId=1062 .
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Guth, Larry |
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University of Toronto assistant professor |
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