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Michael Ira Rosen (born March 7, 1938) is an American mathematician who works on algebraic number theory , arithmetic theory of function fields, and arithmetic algebraic geometry .
Biography [ edit ]
Rosen earned a bachelor's degree from Brandeis University in 1959 and a PhD from Princeton University in 1963 under John Coleman Moore with thesis Representations of twisted group rings . He is a mathematics professor at Brown University .
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 ;[1] A Classical Introduction to Modern Number Theory gives an introduction to zeta functions of algebraic curves , the Weil conjectures , and the arithmetic of elliptic curves .
For his essay Niels Hendrik Abel and equations of the fifth degree[2] Chauvenet Prize .
Publications [ edit ]
with Kenneth Ireland: A classical introduction to modern number theory , Springer , Graduate Texts in Mathematics , 1982, 2nd edn. 1992, ISBN 038797329X (Rosen and Ireland earlier published Elements of number theory; including an introduction to equations over finite fields , Bogden and Quigley, 1972)[3]
Number theory in function fields , Springer, Graduate Texts in Mathematics, 2002, ISBN 0-387-95335-3 [4]
Articles [ edit ]
Rosen, Michael (1997), "Remarks on the history of Fermat's last theorem 1844 to 1984", in Cornell, Gary; Silverman, Joseph H.; Stevens, Glenn (eds.), Modular forms and Fermat's last theorem: Papers from the Instructional Conference on Number Theory and Arithmetic Geometry held at Boston University, Boston, MA, August 9–18, 1995 , New York: Springer, pp. 505–525, MR 1638493
Rosen, Michael (1981), "Abel's theorem on the lemniscate", American Mathematical Monthly 88 6 ): 387–395, doi :10.2307/2321821 , JSTOR 2321821 , MR 0622954
Rosen, Michael I. (1995), "Niels Hendrik Abel and equations of the fifth degree" , American Mathematical Monthly 102 (6 ): 495–505, doi :10.2307/2974763 , JSTOR 2974763 , MR 1336636
References [ edit ]
^ for example, Weil's essay on Gaussian sums and cyclotomic fields, La cyclotomie jadis et naguère , 1974
^ American Mathematical Monthly . volume 102, number 6, June/July 1995, pp. 495–505.
^ Reviews of A Classical Introduction to Modern Number Theory :
Childs, Lindsay N. (1983), "(review)", Mathematical Reviews MR 0661047
Odoni, R.W.K. (January 1984), "(review)", Bulletin of the London Mathematical Society , 16 1 ): 59–60, doi :10.1112/blms/16.1.59b
Roberts, Joseph B. (May 1984), "(review)", The American Mathematical Monthly 91 5 ): 319, doi :10.2307/2322691 , JSTOR 2322691
Abbott, S.J. (July 1992), "(review)", The Mathematical Gazette , 76 doi :10.2307/3619180 , JSTOR 3619180
Stevens, Glenn (1992), "(review)", Mathematical Reviews 84 doi :10.1007/978-1-4757-2103-4 , ISBN 978-1-4419-3094-1 MR 1070716
Gouvêa, Fernando Q. (January 2006), "(review)" , MAA Reviews
^ Reviews of Number Theory in Function Fields :
Gekeler, Ernst-Ulrich (2003), "(review)", Mathematical Reviews 210 , doi :10.1007/978-1-4757-6046-0 , ISBN 978-1-4419-2954-9 MR 1876657
Goss, David (2004), "(review)", Bulletin of the American Mathematical Society 41 1 ): 127–133, doi :10.1090/s0273-0979-03-00999-6
External links [ edit ]
International
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a d d i t i o n a l t e r m s m a y a p p l y . B y u s i n g t h i s s i t e , y o u a g r e e t o t h e T e r m s o f U s e a n d P r i v a c y P o l i c y . W i k i p e d i a ® i s a r e g i s t e r e d t r a d e m a r k o f t h e W i k i m e d i a F o u n d a t i o n , I n c . , a n o n - p r o f i t o r g a n i z a t i o n . ● P r i v a c y p o l i c y ● A b o u t W i k i p e d i a ● D i s c l a i m e r s ● C o n t a c t W i k i p e d i a ● C o d e o f C o n d u c t ● D e v e l o p e r s ● S t a t i s t i c s ● C o o k i e s t a t e m e n t ● M o b i l e v i e w
