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Richard Brauer - Collected Papers
Richard Brauer (1901-1977) was one of the leading algebraists of this century. Although he contributed to a number of mathematical fields, Brauer devoted the major share of his efforts to the study of finite groups, a subject of considerable abstract interest and one that underlies many of the more recent advances in combinatorics and finite geometries.
Correspondence of James Alexander Green Relating to Richard Brauer
The collection consists of correspondence exchanged between James A. Green and members of the Brauer family, including Brauer's widow, Ilse and his brother Alfred, other mathematicians and some of Brauer's former students. Subjects discussed include Brauer's mathematical research and his collaboration with other theoreticians. Much of the correspondence includes Green's exchanges with mathematicians Walter Feit (1930-2004), who worked in finite group theory and representation theory at Yale University and Donald John Lewis (1926-2015), who specialized in number theory at the University of Michigan. In the correspondence are autobiographical notes prepared by Brauer as an introduction to his collected works, an invitation to Brauer to join the University of Kentucky faculty (1933), and copies of remarks delivered by mathematicians Oscar Zariski (1899-1986) and George W. Mackey (1916-2006) at Brauer's funeral on April 20, 1977.
I Have a Photographic Memory
Paul R. Halmos, eminent mathematician, is also a snapshot addict. For the past 45 years, Halmos has snapped mathematicians, their spouses, their brothers and sisters and other relatives, their offices, their dogs, and their carillon towers. From 6000 or so photographs in his collection, Halmos chose about 600 for this book. The pictures are candid shots showing mathematicians just being themselves, and the accompanying captions, in addition to identifying the subjects, contain anecdotes and bits of history that reveal Halmos' inimitable wit and insight.
Pioneers of Representation Theory: Frobenius, Burnside, Schur, and Brauer
The AMS History of Mathematics series is one of the most popular items for bookstore sales. These books feature colorful, attractive covers that are perfect for face out displays. The topics will appeal to a broad audience in the mathematical and scientific communities.
The Brauer-Hasse-Noether Theorem in Historical Perspective
The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Göttingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although not all of them are of equal mathematical interest, searching through this treasure can help us to assess the development of Number Theory through the 1920s and 1930s. The present volume is largely based on the letters and other documents its author has found concerning the Brauer-Hasse-Noether Theorem in the theory of algebras; this covers the years around 1931. In addition to the documents from the literary estates of Hasse and Brauer in Göttingen, the author also makes use of some letters from Emmy Noether to Richard Brauer that are preserved at the Bryn Mawr College Library (Pennsylvania, USA).
The Brauer–Grothendieck Group
This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic and algebraic geometry. The importance of the cohomological Brauer group for applications to Diophantine equations and algebraic geometry was discovered soon after this group was introduced by Grothendieck. The Brauer–Manin obstruction plays a crucial role in the study of rational points on varieties over global fields. The birational invariance of the Brauer group was recently used in a novel way to establish the irrationality of many new classes of algebraic varieties. The book covers the vast theory underpinning these and other ap...
Mathematicians Fleeing from Nazi Germany
Based on archival sources that have never been examined before, the book discusses the preeminent emigrant mathematicians of the period, including Emmy Noether, John von Neumann, Hermann Weyl, and many others. The author explores the mechanisms of the expulsion of mathematicians from Germany, the emigrants' acculturation to their new host countries, and the fates of those mathematicians forced to stay behind. The book reveals the alienation and solidarity of the emigrants, and investigates the global development of mathematics as a consequence of their radical migration.
Frobenius Categories versus Brauer Blocks
This book contributes to important questions in modern representation theory of finite groups. It introduces and develops the abstract setting of the Frobenius categories and gives the application of the abstract setting to the blocks.
