| 词条 | Larry Guth |
| 释义 |
| name = Larry Guth | image = | image_size = | caption = | birth_date = 1977 | birth_place = | death_date = | death_place = | nationality = American | fields = Mathematics | workplaces = Stanford, University of Toronto, New York University, MIT | alma_mater = Yale University, MIT | doctoral_advisor = Tomasz Mrowka | doctoral_students = | known_for = | awards = Salem Prize (2013) Clay Research Award (2015) }}Lawrence David Guth is a professor of mathematics at the Massachusetts Institute of Technology.[1] Education and careerGuth received his Ph.D. in 2005 from the Massachusetts Institute of Technology under the supervision of Tomasz Mrowka.[2] He has previously worked at [3] the New York University's Courant Institute of Mathematical Sciences and at the University of Toronto. ResearchIn his research, Guth has strengthened Gromov's systolic inequality for essential manifolds[4] and, along with Nets Katz, found a solution to the Erdős distinct distances problem.[5] His wide-ranging interests include the Kakeya conjecture and the systolic inequality. RecognitionGuth is the 2013 winner of the Salem Prize.{{citation needed|date=November 2018}} He won an Alfred P. Sloan Fellowship in 2010.[6] He was an invited speaker at the International Congress of Mathematicians in India in 2010, where he spoke about systolic geometry.[7][8] In 2014 he received a Simons Investigator Award.[9] In 2015 he received the Clay Research Award.[10] 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".[11] PersonalHe is the son of physicist Alan Guth known for the theory of Inflation in cosmology.{{citation needed|date=November 2018}} Work
| last = Guth | first = Larry | arxiv = math.DG/0610212 | doi = 10.4007/annals.2011.173.1.2 | mr = 2753599 | issue = 1 | journal = Annals of Mathematics | pages = 51–76 | series = 2nd ser. | title = Volumes of balls in large Riemannian manifolds | volume = 173 | year = 2011}}.
| last1 = Guth | first1 = Larry | last2 = Katz | first2 = Nets Hawk | author2link = Nets Hawk Katz | arxiv = 0812.1043 | doi = 10.1016/j.aim.2010.05.015 | mr = 2680185 | issue = 5 | journal = Advances in Mathematics | pages = 2828–2839 | title = Algebraic methods in discrete analogs of the Kakeya problem | volume = 225 | year = 2010}}.
| last = Guth | first = Larry | arxiv = 0903.5299 | doi = 10.1007/s00039-010-0052-0 | mr = 2594618 | issue = 6 | journal = Geometric and Functional Analysis | pages = 1688–1692 | title = Systolic inequalities and minimal hypersurfaces | volume = 19 | year = 2010}}.
| last = Guth | first = Larry | arxiv = 0811.2251 | doi = 10.1007/s11511-010-0055-6 | mr = 2746348 | issue = 2 | journal = Acta Mathematica | pages = 263–286 | title = The endpoint case of the Bennett–Carbery–Tao multilinear Kakeya conjecture | volume = 205 | year = 2010}}.
| last = Guth | first = Larry | arxiv = math/0702066 | doi = 10.1007/s00039-009-0710-2 | mr = 2491695 | issue = 6 | journal = Geometric and Functional Analysis | pages = 1917–1987 | title = Minimax problems related to cup powers and Steenrod squares | volume = 18 | year = 2009}}.
| last = Guth | first = Larry | arxiv = 0709.1957 | doi = 10.1007/s00222-007-0103-9 | mr = 2393077 | issue = 3 | journal = Inventiones Mathematicae | pages = 477–489 | title = Symplectic embeddings of polydisks | volume = 172 | year = 2008| bibcode = 2008InMat.172..477G
| last = Guth | first = Larry | arxiv = math/0609569 | doi = 10.1007/s00039-007-0628-5 | mr = 2373013 | issue = 4 | journal = Geometric and Functional Analysis | pages = 1139–1179 | title = The width-volume inequality | volume = 17 | year = 2007}}.
| first1 = Larry | last1 = Guth | first2 = Nets Hawk | last2 = Katz | author2link = Nets Hawk Katz | journal = Annals of Mathematics | doi = 10.4007/annals.2015.181.1.2 | title = On the Erdős distinct distance problem on the plane | year = 2015 | pages = 155–190 | volume = 181 | issue = 1 | arxiv = 1011.4105 | mr=3272924}}
References1. ^http://math.mit.edu/people/profile.php?pid=1461 {{Authority control}}{{DEFAULTSORT:Guth, Larry}}2. ^{{mathgenealogy |name=Lawrence Guth|id=34061}}. 3. ^http://www.nyu.edu/about/leadership-university-administration/office-of-the-president/office-of-the-provost/redirect/faculty/new-faculty/new-faculty-2011-2012/courant-institite-of-mathematical-sciences.html 4. ^Guth's approach to Gromov's systolic inequality, Shmuel Weinberger, July 18, 2009. 5. ^{{citation|url=http://mathdl.maa.org/mathDL/?pa=mathNews&sa=view&newsId=1062|series=Math In The News|publisher=Mathematical Association of America|title="Distinct Distance Problem in the Plane" Solved|date=March 2, 2011}}. 6. ^http://www.artsci.utoronto.ca/main/newsitems/five-u-of-t-scientists-awarded-prestigious-sloan-fellowships 7. ^Fall newsletter 2010, Univ. of Toronto mathematics department, retrieved 2011-05-26. 8. ^ICM listing of invited speakers {{webarchive|url=https://web.archive.org/web/20110717191917/http://www.icm2010.org.in/scientific-program/invited-speakers |date=2011-07-17 }}, retrieved 2011-05-26. 9. ^{{cite web |url= http://www.simonsfoundation.org/mathematics-and-physical-science/simons-investigators/simons-investigators-awardees |title= Simons Investigator Awardees |publisher=Simons Foundation |accessdate=11 September 2017}} 10. ^Clay Research Award 2015 11. ^{{citation|url=https://www.ams.org/profession/ams-fellows/new-fellows|title=2019 Class of the Fellows of the AMS|publisher=American Mathematical Society|accessdate=2018-11-07}} 12. ^{{cite journal|author=Tao, Terence|authorlink=Terence Tao|title=Review of Polynomial methods in combinatorics by Larry Guth|year=2018|volume=55|pages=103–107|doi=10.1090/bull/1586}} 10 : Living people|American mathematicians|Massachusetts Institute of Technology alumni|University of Toronto faculty|Geometers|Courant Institute of Mathematical Sciences faculty|1977 births|Simons Investigator|Place of birth missing (living people)|Fellows of the American Mathematical Society |
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