Andrew Pollard Ogg (born April 9, 1934,

Bowling Green, Ohio Bowling Green is a city in and the county seat of Wood County, Ohio, United States, located southwest of Toledo. The population was 30,028 at the 2010 census. It is part of the Toledo Metropolitan Area and a member of the Toledo Metropolitan ...

) is an American mathematician, a

professor emeritus ''Emeritus'' (; female: ''emerita'') is an adjective used to designate a retired chair, professor, pastor, bishop, pope, director, president, prime minister, rabbi, emperor, or other person who has been "permitted to retain as an honorary title ...

of mathematics at 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 ...

Education

Ogg was a student at

Bowling Green State University Bowling Green State University (BGSU) is a public research university in Bowling Green, Ohio. The main academic and residential campus is south of Toledo, Ohio. The university has nationally recognized programs and research facilities in the ...

in the mid 1950s. Ogg received his Ph.D. in 1961 from

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 high ...

under the supervision of John Tate.

Career

Ogg worked in

algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary ...

and

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 integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...

. His accomplishments include the Grothendieck–Ogg–Shafarevich formula, Ogg's formula for the conductor of an elliptic curve, the

Néron–Ogg–Shafarevich criterion In mathematics, the Néron–Ogg–Shafarevich criterion states that if ''A'' is an elliptic curve or abelian variety over a local field ''K'' and ℓ is a prime not dividing the characteristic of the residue field of ''K'' then ''A'' has good re ...

and the 1975 characterization of supersingular primes, the starting point for the theory of

monstrous moonshine In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group ''M'' and modular functions, in particular, the ''j'' function. The term was coined by John Conway and Simon P. Norton in 1979. ...

. He also posed the

torsion conjecture In algebraic geometry and number theory, the torsion conjecture or uniform boundedness conjecture for torsion points for abelian varieties states that the order of the torsion group of an abelian variety over a number field can be bounded in ter ...

in 1973 and is the author of the book ''Modular forms and Dirichlet series'' (W. A. Benjamin, 1969).

References

{{DEFAULTSORT:Ogg, Andrew 1934 births 20th-century American mathematicians 21st-century American mathematicians Harvard University alumni University of California, Berkeley faculty Group theorists Living people People from Bowling Green, Ohio Bowling Green State University alumni Mathematicians from Ohio