Michael Rosen (mathematician)

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

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

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

For his essay Niels Hendrik Abel and equations of the fifth degree, he received the Chauvenet Prize.

Writings

  • Kenneth Ireland: A Classical introduction to modern Number Theory, Springer, Graduate Texts in Mathematics, 1982, 2nd edition 1992, ISBN 038797329X ( they also published previously 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 in 1844 to 1984 in Cornell, Silverman, Stevens (Editor): 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 in 1995
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