Jason P. Miller
{{Short description|American mathematician (born 1983)}}
File:Jason P. Miller Oberwolfach 2024.jpg in 2024]]
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 .{{MathGenealogy|name=Jason Miller|id=159486}}{{cite thesis|author=Miller, Jason Peter|title=Limit theorems for Ginzburg–Landau [grad phi] random surfaces [electronic resource]|year=2011|website=SearchWorks catalog, Stanford Libraries|url=https://searchworks.stanford.edu/view/9238456}} (downloadable text) 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.{{cite web|title=Jason P. Miller, CV|website=Statslab, DPMMS, University of Cambridge|url=http://www.statslab.cam.ac.uk//~jpm205/cv.html}} (with list of research articles)
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."{{cite web|url=http://statslab.cam.ac.uk/~jpm205/|title=Jason P. Miller|website=Statslab, DPMMS, University of Cambridge}}
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.[https://arxiv.org/abs/math/0312099 Scott Sheffield, Gaussian free fields for mathematicians], 2003 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), and the Doeblin Prize in 2018.{{cite web|title=Doeblin Prize – Previous Prize Recipients|website=Bernoulli Society for Mathematical Statistics and Probability|url=http://www.bernoulli-society.org/index.php/prizes/15-features/169-doeblin-prize-previous-prize-recipients|access-date=2021-04-16|archive-date=2020-10-26|archive-url=https://web.archive.org/web/20201026035856/http://bernoulli-society.org/index.php/prizes/15-features/169-doeblin-prize-previous-prize-recipients|url-status=dead}} 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.{{cite book|last1=Miller|first1=Jason|title=Proceedings of the International Congress of Mathematicians (IC 2018)|chapter=Liouville quantum gravity as a metric space and a scaling limit |year=2019|pages=2945–2971|doi=10.1142/9789813272880_0167|arxiv=1712.01571 |isbn=978-981-327-287-3 |s2cid=119648856 }} [https://arxiv.org/abs/1712.01571 Arxiv] 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[https://www.math.univ-toulouse.fr/en/activites/prix-fermat/ Fermat Prize 2023] and he was elected a Fellow of the Royal Society in 2025.{{Cite web |date=2025-05-20 |title=Exceptional scientists elected as Fellows of the Royal Society |url=https://royalsociety.org/news/2025/05/new-fellows/ |access-date=2025-05-22 |website=Royal Society |language=en}}
Selected publications
- {{cite journal | last1=Miller | first1=Jason | last2=Sheffield | first2=Scott | title=Liouville quantum gravity and the Brownian map I: the QLE(8/3,0) metric | journal=Inventiones Mathematicae | publisher=Springer Science and Business Media LLC | volume=219 | issue=1 | date=19 July 2019 | issn=0020-9910 | doi=10.1007/s00222-019-00905-1 | pages=75–152| s2cid=199687114 | doi-access=free | hdl=1721.1/126710 | hdl-access=free }}
- {{cite journal | last1=Miller | first1=Jason | last2=Sheffield | first2=Scott | title=Liouville quantum gravity and the Brownian map II: Geodesics and continuity of the embedding | journal=The Annals of Probability | publisher=Institute of Mathematical Statistics | volume=49 | issue=6 | date=1 November 2021 | issn=0091-1798 | doi=10.1214/21-aop1506| arxiv=1605.03563 | s2cid=119140303 }}
- {{cite journal | last1=Miller | first1=Jason | last2=Sheffield | first2=Scott | title=Quantum Loewner evolution | journal=Duke Mathematical Journal | publisher=Duke University Press | volume=165 | issue=17 | date=15 November 2016 | issn=0012-7094 | doi=10.1215/00127094-3627096| hdl=1721.1/116004 | s2cid=119305882 | hdl-access=free }}
- {{cite journal | last1=Miller | first1=Jason | last2=Sheffield | first2=Scott | title=Imaginary geometry IV: interior rays, whole-plane reversibility, and space-filling trees | journal=Probability Theory and Related Fields | publisher=Springer Science and Business Media LLC | volume=169 | issue=3–4 | date=16 June 2017 | issn=0178-8051 | doi=10.1007/s00440-017-0780-2 | pages=729–869| s2cid=119014687 | doi-access=free | hdl=1721.1/135730 | hdl-access=free }}
References
External links
- [https://www.quantamagazine.org/20160802-unified_theory_of_randomness/ Kevin Hartnett, A unified theory of randomness, Quanta Magazine, 2016]
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Category:20th-century American mathematicians
Category:21st-century American mathematicians
Category:University of Michigan alumni
Category:Stanford University alumni