Francesco Damien "Frank" Calegari is a professor of mathematics at the

University of Chicago The University of Chicago (UChicago, Chicago, U of C, or UChi) is a private research university in Chicago, Illinois. Its main campus is located in Chicago's Hyde Park neighborhood. The University of Chicago is consistently ranked among the b ...

working in

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...

and the Langlands program.

Career

Calegari won a bronze medal and a silver medal at the

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 ...

while representing

Australia Australia, officially the Commonwealth of Australia, is a Sovereign state, sovereign country comprising the mainland of the Australia (continent), Australian continent, the island of Tasmania, and numerous List of islands of Australia, sma ...

in 1992 and 1993 respectively. Calegari received his PhD in mathematics 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 2002 under the supervision of

Ken Ribet Kenneth Alan Ribet (; born June 28, 1948) is an American mathematician working in algebraic number theory and algebraic geometry. He is known for the Herbrand–Ribet theorem and Ribet's theorem, which were key ingredients in the proof of Fermat's ...

. Calegari was a von Neumann Fellow of mathematics at the

Institute for Advanced Study The Institute for Advanced Study (IAS), located in Princeton, New Jersey, in the United States, is an independent center for theoretical research and intellectual inquiry. It has served as the academic home of internationally preeminent scholar ...

from 2010 to 2011. He is a professor of mathematics at the University of Chicago. As of 2020, Calegari is an Editor at

Mathematische Zeitschrift ''Mathematische Zeitschrift'' (German for ''Mathematical Journal'') is a mathematical journal for pure and applied mathematics published by Springer Verlag. It was founded in 1918 and edited by Leon Lichtenstein together with Konrad Knopp, Erhard ...

and an Associate Editor of the

Annals of Mathematics The ''Annals of Mathematics'' is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. History The journal was established as ''The Analyst'' in 1874 and with Joel E. Hendricks as the ...

Research

Calegari works in

algebraic number theory Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic ob ...

, including Langlands reciprocity and torsion classes in the cohomology of

arithmetic group In mathematics, an arithmetic group is a group obtained as the integer points of an algebraic group, for example \mathrm_2(\Z). They arise naturally in the study of arithmetic properties of quadratic forms and other classical topics in number theor ...

Awards

Calegari was a 5-year

American Institute of Mathematics The American Institute of Mathematics (AIM) is one of eight mathematical institutes in the United States, funded by the National Science Foundation (NSF). It was founded in 1994 by John Fry, co-founder of Fry's Electronics, and originally located ...

Fellow.

Selected publications

* * * * *

Personal life

Mathematician

Danny Calegari Danny Matthew Cornelius Calegari is a mathematician who is currently a professor of mathematics at the University of Chicago. His research interests include geometry, dynamical systems, low-dimensional topology, and geometric group theory. Educ ...

is Frank Calegari's brother.

References

External links

* {{DEFAULTSORT:Calegari, Frank 20th-century Australian mathematicians 21st-century American mathematicians Number theorists Living people Date of birth missing (living people) Place of birth missing (living people) University of Chicago faculty UC Berkeley College of Letters and Science alumni Institute for Advanced Study visiting scholars International Mathematical Olympiad participants Year of birth missing (living people)