Top Photo

 

Dr. Timothy Ford

Dr. Rindy Anderson
  • Professor
  • Department of Mathematical Sciences
  • 561-297-3348
  • ford@fau.edu
  • Boca Raton - SE43, Room 216

Education

  • Ph.D. in Mathematics, Department of Mathematics, Colorado State University, 1980.

Research Interests

  • Mathematics Subject Classification 14F22, 16K50, 16H05, 14F20
  • The Brauer group of a commutative ring, the Brauer group of a variety
  • Azumaya algebras defined over the function field of a variety
  • étale cohomology
  • Commutative algebra and algebraic geometry 

Research Description

My research involves that area of Algebra where Ring Theory, Commutative Algebra and Algebraic Geometry overlap. The main focus is the Brauer group of a commutative ring, which classifies the Azumaya algebras. The rings that arise are rings of functions defined on algebraic varieties. This study employs many methods from all areas of Algebra. There are essential connections with the theory of separable algebras, Morita theory, the theory of faithfully flat descent, Galois theory, cohomology, derivations, differentials, reflexive lattices, maximal orders and class groups.

Recent Publications

     "The Brauer group of an affine double plane associated to a hyperelliptic curve",  Comm. Algebra, vol. 45, pp. 1416--1442, 2017.

      (with D. M. Harmon), "The Relative Brauer Group and Generalized Cross Products for a Cyclic Covering of Affine Space", J. Pure Appl. Algebra, vol. 218, pp. 721--730, 2014.

       (with D. M. Harmon),  "The Brauer Group of an Affine Rational Surface with a Non-rational Singularity", J. Algebra, vol. 388, pp. 107--140, 2013.
  
      "The Relative Brauer Group and Generalized Cyclic Crossed Products for a Ramified Covering",  J. Algebra, vol. 450, pp. 1--58, 2016.
 
      "Separable Algebras", An algebra book containing an introduction to the theory of separable algebras, including a rigorous treatment of Azumaya algebras, henselization, and
       Galois theory.  To be published by The American Mathematical Society in the Graduate Studies in Mathematics series.

Scholarly Activities

Being a mathematical fanatic, I never stop working. I'm doing math 24 hours a day, 7 days a week.  

Personal Website

http://brain.math.fau.edu/ford

 

 
timandandrewWhen I am not grading papers, I enjoy playing my guitar.