William W. Adams

Professor Emeritus in the Department of Mathematics

University of Maryland
College Park, MD 20742-4015

Office Room 3107
Office Phone: (301) 405-5128
E-mail: wwa@math.umd.edu

Office hours

By appointment.

Grobner Basis Minicourse: Spring 2005

University and Departmental activity

CMPS Coordinator for Middle States Accreditation,
see the University website on Learning Outcomes.

Professional activity

Member of the American Mathematical Society(AMS)
Member of the Mathematical Association of America(MAA)
Member of the Association for Women in Mathematics(AWM)

Research interests

My current research interests are Groebner Bases and Computer Algebra. Some recent papers are:

Some Results on Grobner Bases over Commutative Rings (with A.K. Boyle)
Transitivity for Weak and Strong Grobner Bases (with A.K. Boyle and P. Loustaunau)
Lifting Standard Bases in Filtered Structures (with P. Loustaunau)
Grobner Bases and Primary Decomposition in Polynomial Rings in One Variable over Dedekind Domains (with P. Loustaunau)
Regular Functions of Several Quaternionic Variables and the Cauchy-Fueter Complex (with C.A.Berenstein, P. Loustaunau, I. Sabadini, D.C. Struppa)
On Compact Singularities for Regular Functions of One Quaternionic Variable (with C.A.Berenstein, P. Loustaunau, I. Sabadini, D.C. Struppa)
Hartogs' Phenomenon for Polyregular Functions and Projective Dimension of Related Modules over a Polynomial Ring (with P. Loustaunau, V. P. Palamodov, D. C. Struppa)
Applications of Commutative and Computational Algebra to Partial Differential Equations (with P. Loustaunau and D.C. Struppa)
SAGBI and SAGBI-Groebner Bases over Principal Ideal Domains(with S. Hosten, P. Loustaunau and L. Miller)
Analysis of the Module Determining the Properties of Regular Functions of Several Quaternionic Variables (with P. Loustaunau)

I have also written a book on Grobner Bases with Philippe Loustaunau.

Education

I have written an article on the new Developmental Program here at the University of Maryland, College Park. It appeared in FOCUS, the news magazine of the Mathematical Association of America. You can see the article in "MAA Online". An expanded version of the article can be found here.

Pictures from the Amazon River in Peru, March 2001

The Old Rag climb.

Pictures from the Galapagos, January 2003.

Pictures from South America and Antarctica, January 2004.

Pictures of some birds from Australia, September 2006

Pictures of Aaron Shank Adams, born April 24, 2004,
and Hannah Morgan Adams Shank, born April 14, 2006.

Last update: October 26, 2006