Michael Ira Rosen (born March 7, 1938) is an American mathematician who works on

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 ...

, arithmetic theory of function fields, and arithmetic algebraic geometry.

Biography

Rosen earned a bachelor's degree from

Brandeis University Brandeis University () is a Private university, private research university in Waltham, Massachusetts, United States. It is located within the Greater Boston area. Founded in 1948 as a nonsectarian, non-sectarian, coeducational university, Bra ...

in 1959 and a PhD from

Princeton University Princeton University is a private university, private Ivy League research university in Princeton, New Jersey, United States. Founded in 1746 in Elizabeth, New Jersey, Elizabeth as the College of New Jersey, Princeton is the List of Colonial ...

in 1963 under

John Coleman Moore John Coleman Moore (May 27, 1923 – January 1, 2016) was an American mathematician. The Borel−Moore homology and Eilenberg–Moore spectral sequence are named after him. Early life and education Moore was born in 1923 in Staten Island, Ne ...

with thesis ''Representations of twisted group rings''. He is a mathematics professor 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 ' ...

. Rosen is known for his textbooks, especially for the book with co-author Kenneth Ireland on number theory, which was inspired by ideas of

André Weil André Weil (; ; 6 May 1906 – 6 August 1998) was a French mathematician, known for his foundational work in number theory and algebraic geometry. He was one of the most influential mathematicians of the twentieth century. His influence is du ...

; this book, ''A Classical Introduction to Modern Number Theory'', gives an introduction to zeta functions of

algebraic curve In mathematics, an affine algebraic plane curve is the zero set of a polynomial in two variables. A projective algebraic plane curve is the zero set in a projective plane of a homogeneous polynomial in three variables. An affine algebraic plane cu ...

s, the

Weil conjectures In mathematics, the Weil conjectures were highly influential proposals by . They led to a successful multi-decade program to prove them, in which many leading researchers developed the framework of modern algebraic geometry and number theory. Th ...

, and the arithmetic of

elliptic curve In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point . An elliptic curve is defined over a field and describes points in , the Cartesian product of with itself. If the ...

s. For his essay '' Niels Hendrik Abel and equations of the fifth degree'' Rosen received the 1999

Chauvenet Prize The Chauvenet Prize is an annual award given by the Mathematical Association of America in recognition of an outstanding expository article on a mathematical topic. It consists of a prize of $1,000 and a certificate. The Chauvenet Prize was the ...

Publications

Books

* with Kenneth Ireland: ''A classical introduction to modern number theory'',

Springer Springer or springers may refer to: Publishers * Springer Science+Business Media, aka Springer International Publishing, a worldwide publishing group founded in 1842 in Germany formerly known as Springer-Verlag. ** Springer Nature, a multinationa ...

Graduate Texts in Mathematics Graduate Texts in Mathematics (GTM) () is a series of graduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with va ...

, 1982, 2nd edn. 1992, (Rosen and Ireland earlier published ''Elements of number theory; including an introduction to equations over finite fields'', Bogden and Quigley, 1972) * ''Number theory in function fields'', Springer, Graduate Texts in Mathematics, 2002, Reviews of ''Number Theory in Function Fields'': * (featured review) *

Articles

* * *

References

External links

Michael Rosen
– Homepage at Brown University * * Living people 20th-century American mathematicians 21st-century American mathematicians American number theorists 1938 births Mathematicians from New York (state) {{US-mathematician-stub Brandeis University alumni Princeton University alumni Brown University faculty