"This textbook focuses on the structure of fields and is intended for a second course in abstract algebra. Besides providing proofs of the transcendance of [pi] and e, the book includes material on differential Galois groups and a proof of Hilbert's irreducibility theorem. The r…
This book presents a complete and accurate study of arithmetic and algebraic circuits. The first part offers a review of all important basic concepts: it describes simple circuits for the implementation of some basic arithmetic operations; it introduces theoretical basis for res…
Topological modular forms
by Francis, John, Henriques, André Gil
fromMathematical surveys and monographs
The theory of topological modular forms is an intricate blend of classical algebraic modular forms and stable homotopy groups of spheres. The construction of this theory combines an algebro-geometric perspective on elliptic curves over finite fields with techniques from algebrai…