George S. Avrunin

Professor, Department of Mathematics and Statistics
Adjunct Professor, Department of Computer Science
Department of Mathematics and Statistics
University of Massachusetts Amherst
710 N. Pleasant Street
Amherst, MA 01003-9305
1335D Lederle Graduate Research Tower
413-545-4251 (Voice)
413-545-1801 (Fax)
avrunin at math dot umass dot edu
Public PGP key:
Click here to download my public GnuPG key (ASCII version)
My official Department of Mathematics and Statistics web is page here.


In Spring 2015, I am teaching Math 455 (Introduction to Discrete Structures).

Research interests:

Analysis and verification of concurrent and distributed computer systems; requirements engineering; applications of analysis and verification techniques to human-intensive systems such as medical processes and elections; verification methods for high-performance computing systems; software architecture; cohomology and representation theory of finite groups


My publications are listed by topic (more or less) and chronologically in the links below, along with links to electronic versions of some of them. These online copies are made available as a means to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are maintained by the authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each copyright holder. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

Publications by topic

Chronological list

My CV is available here. For additional information and pointers to some related publications, see the the Laboratory for Advanced Software Engineering Research page. Patterns home page is a repository of patterns for finite-state verification.


I was the lead Principal Investigator on a project called the Western Massachusetts Mathematics Partnership. This was funded by a "START" planning grant from the National Science Foundation's Math and Science Partnerships program, and continues to operate with funding from Five Colleges, Inc., and the participating school districts. The WMMP involves faculty from all the member institutions of the Five College Consortium (Amherst, Hampshire, Mount Holyoke, and Smith colleges and UMass Amherst), Springfield College, Holyoke Community College, Greenfield Community College and Western New England and Westfield State universities. The school districts participating include Amherst, Easthampton, Gill-Montague, Holyoke, Northampton, Pioneer Valley Performing Arts Charter School, South Hadley, Springfield, Union 28, and Westfield, as well as teachers and administrators from additional districts such as Mohawk Trail and Hampden-Wilbraham.

The goal of the planning grant was to understand the particular problems of the western Massachusetts region, where the production of teachers licensed in mathematics is very low and where many move to the eastern part of the state. There is, however, a long history of interaction and cooperation among the colleges and universities in the region, and with local school districts. In March, we submitted a proposal for a 5-year MSP Targeted Partnership grant. The PIs on that proposal, in addition to me, are Neal Abraham, the Executive Director of Five Colleges, Incorporated; my colleague Farshid Hajir at UMass; Deborah Schifter, Principal Research Scientist at the Education Development Center, Inc.; and Christine Sweklow, Assistant Superintendent of the South Hadley Public Schools. Some of the other people who have important roles in this project are Harriet Pollatsek (Mount Holyoke), Susan Jo Russell (TERC), and Traci Higgins (TERC).

In Spring 2014, we ran two very successful vertically integrated (K-16) Professional Learning Communities focused on algebraic thinking and the Common Core practice standards. Each PLC was co-facilitated by a team consisting of one mathematics educator and one K-12 teacher. In the fall, we ran three PLCs, facilitated by one college faculty member and two K-12 teachers. We are currently planning PLCs for the spring.

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