fbpx
Wikipedia

Jason P. Miller

Jason Peter Miller (born November 23, 1983) is an American mathematician, specializing in probability theory.

After graduating from Okemos High School, Miller matriculated in 2002 at the University of Michigan, where he graduated in 2006 with a B.S. with joint majors in mathematics, computer science, and economics. In 2006 he became a graduate student in mathematics at Stanford University. In 2011 he graduated there with a PhD supervised by Amir Dembo with dissertation Limit theorems for Ginzburg-Landau random surfaces .[1][2] Miller was a summer intern in 2009 at Microsoft Research and in 2010 at D.E. Shaw & Co. He was a postdoctoral researcher from September 2010 to July 2012 at Microsoft and from July 2012 to July 2015 (as a Schramm Fellow and a NSF Fellow) at MIT's department of mathematics, where he worked with Scott Sheffield. In 2015 Miller became a reader at Trinity College, Cambridge and in the University of Cambridge's Statistics Laboratory.[3]

His research deals with many aspects of probability theory, including "stochastic interface models (random surfaces and SLE), random walk, mixing times for Markov chains, and interacting particle systems."[4]

With Scott Sheffield, he did research on the geometry of d-dimensional Gaussian free fields (GFF fields), also called (Euclidean bosonic) massless free fields, which are d-dimensional analogs of Brownian motion.[5] The two mathematicians introduced an "imaginary geometry" which made it possible to integrate the Schramm-Loewner evolution in many GFF fields. Miller and Sheffield also proved that two models of measure-endowed random surfaces, namely Liouville quantum gravity and the Brownian map, are equivalent. (The two models were introduced by Alexander Markovich Polyakov.)

Miller won the Rollo Davidson Prize in 2015, the Whitehead Prize in 2016, the Clay Research Award in 2017 (with Scott Sheffield),[3] and the Doeblin Prize in 2018.[6] He was an invited speaker with talk Liouville quantum gravity as a metric space and a scaling limit at the International Congress of Mathematicians in 2018 in Rio de Janeiro.[7] He was awarded the Leonard Eisenbud Prize for Mathematics and Physics of the AMS in 2023 jointly with Scott Sheffield. In 2023 he received the Fermat Prize.[8]

Selected publications edit

  • Miller, Jason; Sheffield, Scott (19 July 2019). "Liouville quantum gravity and the Brownian map I: the QLE(8/3,0) metric". Inventiones Mathematicae. Springer Science and Business Media LLC. 219 (1): 75–152. doi:10.1007/s00222-019-00905-1. ISSN 0020-9910. S2CID 199687114.
  • Miller, Jason; Sheffield, Scott (1 November 2021). "Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding". The Annals of Probability. Institute of Mathematical Statistics. 49 (6). arXiv:1605.03563. doi:10.1214/21-aop1506. ISSN 0091-1798. S2CID 119140303.
  • Miller, Jason; Sheffield, Scott (15 November 2016). "Quantum Loewner evolution". Duke Mathematical Journal. Duke University Press. 165 (17). doi:10.1215/00127094-3627096. hdl:1721.1/116004. ISSN 0012-7094. S2CID 119305882.
  • Miller, Jason; Sheffield, Scott (16 June 2017). "Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees". Probability Theory and Related Fields. Springer Science and Business Media LLC. 169 (3–4): 729–869. doi:10.1007/s00440-017-0780-2. ISSN 0178-8051. S2CID 119014687.

References edit

  1. ^ Jason Miller at the Mathematics Genealogy Project
  2. ^ Miller, Jason Peter (2011). Limit theorems for Ginzburg-Landau [grad phi] random surfaces [electronic resource]. SearchWorks catalog, Stanford Libraries (Thesis). (downloadable text)
  3. ^ a b "Jason P. Miller, CV". Statslab, DPMMS, University of Cambridge. (with list of research articles)
  4. ^ "Jason P. Miller". Statslab, DPMMS, University of Cambridge.
  5. ^ Scott Sheffield, Gaussian free fields for mathematicians, 2003
  6. ^ "Doeblin Prize - Previous Prize Recipients". Bernoulli Society for Mathematical Statistics and Probability.
  7. ^ Miller, Jason (2019). "Liouville quantum gravity as a metric space and a scaling limit". Proceedings of the International Congress of Mathematicians (IC 2018). pp. 2945–2971. arXiv:1712.01571. doi:10.1142/9789813272880_0167. ISBN 978-981-327-287-3. S2CID 119648856. Arxiv
  8. ^ Fermat Prize 2023

External links edit

  • Kevin Hartnett, A unified theory of randomness, Quanta Magazine, 2016

jason, miller, jason, peter, miller, born, november, 1983, american, mathematician, specializing, probability, theory, after, graduating, from, okemos, high, school, miller, matriculated, 2002, university, michigan, where, graduated, 2006, with, with, joint, m. Jason Peter Miller born November 23 1983 is an American mathematician specializing in probability theory After graduating from Okemos High School Miller matriculated in 2002 at the University of Michigan where he graduated in 2006 with a B S with joint majors in mathematics computer science and economics In 2006 he became a graduate student in mathematics at Stanford University In 2011 he graduated there with a PhD supervised by Amir Dembo with dissertation Limit theorems for Ginzburg Landau ϕ displaystyle nabla phi random surfaces 1 2 Miller was a summer intern in 2009 at Microsoft Research and in 2010 at D E Shaw amp Co He was a postdoctoral researcher from September 2010 to July 2012 at Microsoft and from July 2012 to July 2015 as a Schramm Fellow and a NSF Fellow at MIT s department of mathematics where he worked with Scott Sheffield In 2015 Miller became a reader at Trinity College Cambridge and in the University of Cambridge s Statistics Laboratory 3 His research deals with many aspects of probability theory including stochastic interface models random surfaces and SLE random walk mixing times for Markov chains and interacting particle systems 4 With Scott Sheffield he did research on the geometry of d dimensional Gaussian free fields GFF fields also called Euclidean bosonic massless free fields which are d dimensional analogs of Brownian motion 5 The two mathematicians introduced an imaginary geometry which made it possible to integrate the Schramm Loewner evolution in many GFF fields Miller and Sheffield also proved that two models of measure endowed random surfaces namely Liouville quantum gravity and the Brownian map are equivalent The two models were introduced by Alexander Markovich Polyakov Miller won the Rollo Davidson Prize in 2015 the Whitehead Prize in 2016 the Clay Research Award in 2017 with Scott Sheffield 3 and the Doeblin Prize in 2018 6 He was an invited speaker with talk Liouville quantum gravity as a metric space and a scaling limit at the International Congress of Mathematicians in 2018 in Rio de Janeiro 7 He was awarded the Leonard Eisenbud Prize for Mathematics and Physics of the AMS in 2023 jointly with Scott Sheffield In 2023 he received the Fermat Prize 8 Selected publications editMiller Jason Sheffield Scott 19 July 2019 Liouville quantum gravity and the Brownian map I the QLE 8 3 0 metric Inventiones Mathematicae Springer Science and Business Media LLC 219 1 75 152 doi 10 1007 s00222 019 00905 1 ISSN 0020 9910 S2CID 199687114 Miller Jason Sheffield Scott 1 November 2021 Liouville quantum gravity and the Brownian map II Geodesics and continuity of the embedding The Annals of Probability Institute of Mathematical Statistics 49 6 arXiv 1605 03563 doi 10 1214 21 aop1506 ISSN 0091 1798 S2CID 119140303 Miller Jason Sheffield Scott 15 November 2016 Quantum Loewner evolution Duke Mathematical Journal Duke University Press 165 17 doi 10 1215 00127094 3627096 hdl 1721 1 116004 ISSN 0012 7094 S2CID 119305882 Miller Jason Sheffield Scott 16 June 2017 Imaginary geometry IV interior rays whole plane reversibility and space filling trees Probability Theory and Related Fields Springer Science and Business Media LLC 169 3 4 729 869 doi 10 1007 s00440 017 0780 2 ISSN 0178 8051 S2CID 119014687 References edit Jason Miller at the Mathematics Genealogy Project Miller Jason Peter 2011 Limit theorems for Ginzburg Landau grad phi random surfaces electronic resource SearchWorks catalog Stanford Libraries Thesis downloadable text a b Jason P Miller CV Statslab DPMMS University of Cambridge with list of research articles Jason P Miller Statslab DPMMS University of Cambridge Scott Sheffield Gaussian free fields for mathematicians 2003 Doeblin Prize Previous Prize Recipients Bernoulli Society for Mathematical Statistics and Probability Miller Jason 2019 Liouville quantum gravity as a metric space and a scaling limit Proceedings of the International Congress of Mathematicians IC 2018 pp 2945 2971 arXiv 1712 01571 doi 10 1142 9789813272880 0167 ISBN 978 981 327 287 3 S2CID 119648856 Arxiv Fermat Prize 2023External links editKevin Hartnett A unified theory of randomness Quanta Magazine 2016 Retrieved from https en wikipedia org w index php title Jason P Miller amp oldid 1186372980, wikipedia, wiki, book, books, library,

article

, read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.