Michael Rosen (mathematician)

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Michael Ira Rosen (born March 7, 1938 in Brooklyn , New York ) is an American mathematician who deals with algebraic number theory, arithmetic theory of function fields and arithmetic algebraic geometry.

Rosen studied at Brandeis University (bachelor's degree in 1959) and received his doctorate in 1963 with John Coleman Moore at Princeton University ( Representations of twisted group rings ). He is a professor of mathematics at Brown University .

Rosen is known for his textbooks, especially his book with Kenneth Ireland on number theory, which is inspired by ideas from André Weil and provides an introduction to zeta functions of algebraic curves and the Weil conjectures and the arithmetic of elliptic curves.

He received the Chauvenet Prize for his essay Niels Hendrik Abel and equations of the fifth degree .


  • with Kenneth Ireland: A Classical introduction to modern Number Theory , Springer, Graduate Texts in Mathematics, 1982, 2nd edition 1992, ISBN 038797329X (they also previously 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, ISBN 0-387-95335-3
  • Remarks on the history of Fermat's last theorem 1844 to 1984 , in Cornell, Silverman, Stevens (editors): Modular forms and Fermat's last theorem , pp. 505-525, Springer, New York 1997.
  • Abel's theorem on the lemniscate , American Mathematical Monthly 88, 1981, pp. 387-395
  • Niels Hendrik Abel and equations of the fifth degree, American Mathematical Monthly 1995

Web links


  1. for example his article on Gauss sums and circle divisions, La cyclotomie jadis et naguère , 1974
  2. American Mathematical Monthly 102, 1995, pp. 495-505