Jeremy Adam Kahn (born October 26, 1969) is an American mathematician. He works on

hyperbolic geometry In mathematics, hyperbolic geometry (also called Lobachevskian geometry or János Bolyai, Bolyai–Nikolai Lobachevsky, Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For a ...

Riemann surface In mathematics, particularly in complex analysis, a Riemann surface is a connected one-dimensional complex manifold. These surfaces were first studied by and are named after Bernhard Riemann. Riemann surfaces can be thought of as deformed vers ...

s and

complex dynamics Complex dynamics, or holomorphic dynamics, is the study of dynamical systems obtained by Iterated function, iterating a complex analytic mapping. This article focuses on the case of algebraic dynamics, where a polynomial or rational function is it ...

Education

Kahn grew up in

New York City New York, often called New York City (NYC), is the most populous city in the United States, located at the southern tip of New York State on one of the world's largest natural harbors. The city comprises five boroughs, each coextensive w ...

and attended

Hunter College High School Hunter College High School is a public academic magnet secondary school located in the Carnegie Hill section of the Upper East Side of Manhattan. It is administered and funded by Hunter College of the City University of New York (CUNY) and no t ...

. He was a

child prodigy A child prodigy is, technically, a child under the age of 10 who produces meaningful work in some domain at the level of an adult expert. The term is also applied more broadly to describe young people who are extraordinarily talented in some f ...

who mastered

quadratic equations In mathematics, a quadratic equation () is an equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where the variable (mathematics), variable represents an unknown number, and , , and represent known numbers, where . (If and ...

at the age of 7, at the age of 8 designed an equation identical to the one

Carl Gauss Carl may refer to: *Carl, Georgia, city in USA *Carl, West Virginia, an unincorporated community *Carl (name), includes info about the name, variations of the name, and a list of people with the name *Carl², a TV series * "Carl", an episode of tel ...

designed at the age of 9, and proved the Pythagorean Theorem at the age of 10. Kahn was part of the

Johns Hopkins University The Johns Hopkins University (often abbreviated as Johns Hopkins, Hopkins, or JHU) is a private university, private research university in Baltimore, Maryland, United States. Founded in 1876 based on the European research institution model, J ...

Study of Mathematically Precocious Youth The Study of Mathematically Precocious Youth (SMPY) is a prospective longitudinal survey study of persons (mostly in the United States) identified by scores of 700 or higher on a section of the SAT Reasoning Test before age 13. It is one of the lon ...

longitudinal cohort. At the age of 11, he scored a 780 out of a possible 800 on the math portion of the SAT-I exam. At the age of 13, he became the youngest person ever to make the United States

International Mathematical Olympiad The International Mathematical Olympiad (IMO) is a mathematical olympiad for pre-university students, and is the oldest of the International Science Olympiads. It is widely regarded as the most prestigious mathematical competition in the wor ...

team He participated in the Olympiad four times, winning silver medals in 1983 and 1984, and gold medals in 1985 and 1986. On the basis of his success in the

Putnam competition The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regar ...

, he became a Putnam Fellow in 1988. He received a bachelor's degree in mathematics at

Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...

, then received his Ph.D. from the

University of California, Berkeley The University of California, Berkeley (UC Berkeley, Berkeley, Cal, or California), is a Public university, public Land-grant university, land-grant research university in Berkeley, California, United States. Founded in 1868 and named after t ...

in 1995 under

Curtis McMullen Curtis Tracy McMullen (born May 21, 1958) is an American mathematician who is the Cabot Professor of Mathematics at Harvard University. He was awarded the Fields Medal in 1998 for his work in complex dynamics, hyperbolic geometry and Teichmülle ...

with the thesis ''Holomorphic removability of quadratic polynomial Julia sets''.

Career

Kahn was assistant professor at the

California Institute of Technology The California Institute of Technology (branded as Caltech) is a private research university in Pasadena, California, United States. The university is responsible for many modern scientific advancements and is among a small group of institutes ...

from 1995 to 1998 and was later a postdoc at the

University of Toronto The University of Toronto (UToronto or U of T) is a public university, public research university whose main campus is located on the grounds that surround Queen's Park (Toronto), Queen's Park in Toronto, Ontario, Canada. It was founded by ...

. After that, he worked for the investment firm

Highbridge Capital Management Highbridge Capital Management, LLC is a multi-strategy alternative investment management firm founded by Glenn Dubin and Henry Swieca in 1992. In 2004, it was purchased by JPMorgan Chase; as of 2019, it had about $3.9 billion in assets under m ...

as an analyst in

financial mathematics Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the Finance#Quantitative_finance, financial field. In general, there exist two separate ...

. He was a postdoc and later assistant professor at the

Stony Brook University Stony Brook University (SBU), officially the State University of New York at Stony Brook, is a public university, public research university in Stony Brook, New York, United States, on Long Island. Along with the University at Buffalo, it is on ...

. He is currently a professor of mathematics at

Brown University Brown University is a Private university, private Ivy League research university in Providence, Rhode Island, United States. It is the List of colonial colleges, seventh-oldest institution of higher education in the US, founded in 1764 as the ' ...

. In 2012, Kahn and

Vladimir Markovic Vladimir Marković is a Professor of Mathematics at University of Oxford. He was previously the John D. MacArthur Professor at the California Institute of Technology (2013–2020) and Sadleirian Professor of Pure Mathematics at the University ...

received 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 achievements in mathematical research. The following mathematicians have received the award: See als ...

for their research on

, specifically, for their result on immersions into a closed hyperbolic 3-manifold (proof of the

surface subgroup conjecture In mathematics, the surface subgroup conjecture of Friedhelm Waldhausen states that the fundamental group of every closed manifold, closed, irreducible manifold, irreducible 3-manifold with infinite fundamental group has a surface subgroup. By "su ...

) and for their proof of the

Ehrenpreis conjecture In mathematics, the Ehrenpreis conjecture of Leon Ehrenpreis states that for any ''K'' greater than 1, any two closed Riemann surfaces of genus at least 2 have finite-degree covers which are ''K''- quasiconformal: that is, the covers are arbitra ...

. In 2014 he was an

invited speaker at the International Congress of Mathematicians An invitation system is a method of encouraging people to join an organization, such as a Club (organization), club or a website. In regular society, it refers to any system whereby new members are chosen; they cannot simply apply. In relation to w ...

Seoul Seoul, officially Seoul Special Metropolitan City, is the capital city, capital and largest city of South Korea. The broader Seoul Metropolitan Area, encompassing Seoul, Gyeonggi Province and Incheon, emerged as the world's List of cities b ...

and gave a talk called "The Surface Subgroup and the Ehrenpreis Conjectures".

Selected publications

* *

References

External links

* (With some online preprints.) {{DEFAULTSORT:Kahn, Jeremy 20th-century American mathematicians 21st-century American mathematicians Dynamical systems theorists Harvard University alumni Hunter College High School alumni University of California, Berkeley alumni California Institute of Technology faculty Stony Brook University faculty Brown University faculty 1969 births Living people Putnam Fellows