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

Okemos High School Okemos High School is a public high school in Okemos, Michigan, United States. It is the only high school in the Okemos Public Schools district. It is located southeast of the main campus of Michigan State University, between Bennett and Joll ...

, Miller matriculated in 2002 at the

University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...

, 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 Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...

. In 2011 he graduated there with a PhD supervised by

Amir Dembo Amir Dembo (born 25 October 1958, Haifa) is an Israeli-American mathematician, specializing in probability theory. He was elected a member of the National Academy of Sciences in 2022. Biography Dembo received his bachelor's degree in electrical en ...

with dissertation ''Limit theorems for Ginzburg-Landau

\nabla \phi

random surfaces ''. Miller was a summer intern in 2009 at

Microsoft Research Microsoft Research (MSR) is the research subsidiary of Microsoft. It was created in 1991 by Richard Rashid, Bill Gates and Nathan Myhrvold with the intent to advance state-of-the-art computing and solve difficult world problems through technologi ...

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 The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the mo ...

's department of mathematics, where he worked with

Scott Sheffield Scott Sheffield (born October 20, 1973) is a professor of mathematics at the Massachusetts Institute of Technology. His primary research field is theoretical probability. Research Much of Sheffield's work examines conformal invariant objects w ...

. In 2015 Miller became a reader at

Trinity College, Cambridge Trinity College is a constituent college of the University of Cambridge. Founded in 1546 by Henry VIII, King Henry VIII, Trinity is one of the largest Cambridge colleges, with the largest financial endowment of any college at either Cambridge ...

and in the

University of Cambridge , mottoeng = Literal: From here, light and sacred draughts. Non literal: From this place, we gain enlightenment and precious knowledge. , established = , other_name = The Chancellor, Masters and Schola ...

's Statistics Laboratory. (with list of research articles) His research deals with many aspects of probability theory, including "stochastic interface models (random surfaces and

SLE Lupus, technically known as systemic lupus erythematosus (SLE), is an autoimmune disease in which the body's immune system mistakenly attacks healthy tissue in many parts of the body. Symptoms vary among people and may be mild to severe. Commo ...

random walk In mathematics, a random walk is a random process that describes a path that consists of a succession of random steps on some mathematical space. An elementary example of a random walk is the random walk on the integer number line \mathbb Z ...

, mixing times for

Markov chain A Markov chain or Markov process is a stochastic model describing a sequence of possible events in which the probability of each event depends only on the state attained in the previous event. Informally, this may be thought of as, "What happe ...

s, and interacting particle systems." With

, he did research on the geometry of ''d''-dimensional

Gaussian free field In probability theory and statistical mechanics, the Gaussian free field (GFF) is a Gaussian random field, a central model of random surfaces (random height functions). gives a mathematical survey of the Gaussian free field. The discrete version ...

s (GFF fields), also called (Euclidean bosonic) massless free fields, which are ''d''-dimensional analogs of

Brownian motion Brownian motion, or pedesis (from grc, πήδησις "leaping"), is the random motion of particles suspended in a medium (a liquid or a gas). This pattern of motion typically consists of random fluctuations in a particle's position insi ...

. 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 Alexander is a male given name. The most prominent bearer of the name is Alexander the Great, the king of the Ancient Greek kingdom of Macedonia who created one of the largest empires in ancient history. Variants listed here are Aleksandar, Al ...

.) Miller won the

Rollo Davidson Prize The Rollo Davidson Prize is a prize awarded annually to early-career probabilists by the Rollo Davidson trustees. It is named after English mathematician Rollo Davidson (1944–1970). Rollo Davidson Trust In 1970, Rollo Davidson, a Fellow-elec ...

in 2015, the

Whitehead Prize The Whitehead Prize is awarded yearly by the London Mathematical Society to multiple mathematicians working in the United Kingdom who are at an early stage of their career. The prize is named in memory of homotopy theory pioneer J. H. C. Whiteh ...

in 2016, the

Clay Research Award __NOTOC__ The Clay Research Award is an annual award given by the Oxford-based Clay Mathematics Institute to mathematicians to recognize their achievement in mathematical research. The following mathematicians have received the award: {, class=" ...

in 2017 (with

), and the Doeblin Prize in 2018. He was an invited speaker with talk ''Liouville quantum gravity as a metric space and a scaling limit'' at the

International Congress of Mathematicians The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the Nevanlinna Prize (to be rename ...

in 2018 in

Rio de Janeiro Rio de Janeiro ( , , ; literally 'River of January'), or simply Rio, is the capital of the state of the same name, Brazil's third-most populous state, and the second-most populous city in Brazil, after São Paulo. Listed by the GaWC as a b ...

.Arxiv
/ref> He was awarded the Leonard Eisenbud Prize for Mathematics and Physics of the

AMS AMS or Ams may refer to: Organizations Companies * Alenia Marconi Systems * American Management Systems * AMS (Advanced Music Systems) * ams AG, semiconductor manufacturer * AMS Pictures * Auxiliary Medical Services Educational institutions * A ...

in 2023 jointly with

Selected publications

* * * *

References

External links

Kevin Hartnett, A unified theory of randomness, Quanta Magazine, 2016
{{DEFAULTSORT:Miller, Jason P. 1983 births Living people 20th-century American mathematicians 21st-century American mathematicians University of Michigan alumni Stanford University alumni Academics of the University of Cambridge