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 Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' ...

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 is the study of dynamical systems defined by Iterated function, iteration of functions on complex number spaces. Complex analytic dynamics is the study of the dynamics of specifically analytic functions. Techniques *General **Mo ...

Education

Kahn grew up in

New York City New York, often called New York City or NYC, is the List of United States cities by population, most populous city in the United States. With a 2020 population of 8,804,190 distributed over , New York City is also the L ...

and attended

Hunter College High School Hunter College High School is a secondary school located in the Carnegie Hill neighborhood on the Upper East Side of Manhattan. It is administered by Hunter College of the City University of New York (CUNY). Hunter is publicly funded, and there i ...

. He was a

child prodigy A child prodigy is defined in psychology research literature as a person under the age of ten who produces meaningful output in some domain at the level of an adult expert. The term is also applied more broadly to young people who are extraor ...

who mastered

quadratic equations In algebra, a quadratic equation () is any equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where represents an unknown value, and , , and represent known numbers, where . (If and then the equation is linear, not quadr ...

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

Carl Gauss Johann Carl Friedrich Gauss (; german: Gauß ; la, Carolus Fridericus Gauss; 30 April 177723 February 1855) was a German mathematician and physicist who made significant contributions to many fields in mathematics and science. Sometimes refer ...

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

Johns Hopkins University Johns Hopkins University (Johns Hopkins, Hopkins, or JHU) is a private university, private research university in Baltimore, Maryland. Founded in 1876, Johns Hopkins is the oldest research university in the United States and in the western hem ...

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 years. It is one of th ...

longitudinal cohort. At the age of 11, he scored a 780 out of a possible 800 on the math portion of the

SAT-I The SAT ( ) is a standardized test widely used for college admissions in the United States. Since its debut in 1926, its name and scoring have changed several times; originally called the Scholastic Aptitude Test, it was later called the Schol ...

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. The first IMO was held in Romania in 1959. It has since been held annually, except i ...

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 Ivy League research university in Cambridge, Massachusetts. Founded in 1636 as Harvard College and named for its first benefactor, the Puritan clergyman John Harvard, it is the oldest institution of higher le ...

, 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 land-grant research university in Berkeley, California. Established in 1868 as the University of California, it is the state's first land-grant u ...

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 Teichmüll ...

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 or CIT)The university itself only spells its short form as "Caltech"; the institution considers other spellings such a"Cal Tech" and "CalTech" incorrect. The institute is also occasional ...

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 research university in Toronto, Ontario, Canada, located on the grounds that surround Queen's Park. It was founded by royal charter in 1827 as King's College, the first institution ...

. 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 of financial markets. In general, there exist two separate branches of finance that require ...

. 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 research university in Stony Brook, New York. Along with the University at Buffalo, it is one of the State University of New York system's ...

. He is currently a professor of mathematics at

Brown University Brown University is a private research university in Providence, Rhode Island. Brown is the seventh-oldest institution of higher education in the United States, founded in 1764 as the College in the English Colony of Rhode Island and Providenc ...

. 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 of ...

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 achievement in mathematical research. The following mathematicians have received the award: {, class=" ...

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, irreducible 3-manifold with infinite fundamental group has a surface subgroup. By "surface subgroup" we mean the fundament ...

) 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 arbitrar ...

. In 2014 he was an

invited speaker at the International Congress of Mathematicians This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." ...

Seoul Seoul (; ; ), officially known as the Seoul Special City, is the capital and largest metropolis of South Korea.Before 1972, Seoul was the ''de jure'' capital of the Democratic People's Republic of Korea (North Korea) as stated iArticle 103 ...

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 University of California, Berkeley alumni California Institute of Technology faculty Stony Brook University faculty Brown University faculty 1969 births Living people Putnam Fellows