Garlos Yaz Ferreira: A Review of His Collected Works

Collected Works

This paper provides empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. The second of theseconjectures relates six quantities associated to a Jacobian over the rationalnumbers. One of these six quantities is the size of the Shafarevich-Tate group.Unable to compute that, we computed the five other quantities and solved for...

The Collected Works of

Review of the Collected Works of John Tate

This is a review of Collected Works of John Tate. Parts I, II, edited by Barry Mazur and Jean-Pierre Serre. AmericanMathematical Society, Providence, Rhode Island, 2016. For several decades it has been clear to the friends and colleagues of John Tate that a “Collected Works” was merited. The award of the Abel Prize to Tate in 2010 added impetus, and finally, in Tate’s ninety-second year we have...

Klein's Collected Works

Felix Klein: Gesammelte mathematische Abhandlungen. Vol. 1. Liniengeometrie, Grundlegung der Geometrie, Zum Erlanger Programm. Edited by R. Fricke and A. Ostrowski. Berlin, Julius Springer, 1921. xiii + 612 pages. Felix Klein, born at Düsseldorf, April 25,1849, was awarded the doctor's degree December 12, 1868, by the University of Bonn. The dissertation was directed and the examination conduct...

Leonhard Euler: His Life, the Man, and His Works

On the occasion of the 300th anniversary (on April 15, 2007) of Euler’s birth, an attempt is made to bring Euler’s genius to the attention of a broad segment of the educated public. The three stations of his life—Basel, St. Petersburg, and Berlin—are sketched and the principal works identified in more or less chronological order. To convey a flavor of his work and its impact on modern science, ...