Home Page of Ross Geoghegan

Ross Geoghegan, Research Professor and Department Chair

Department of Mathematical Sciences

State University of New York at Binghamton (Binghamton University)

Binghamton, NY 13902-6000 USA

The State University of New York, University Center at Binghamton, or SUNY-Binghamton for short, is also known as Binghamton University. It is one of the four doctoral granting units of SUNY, the others being at Stony Brook, Albany and Buffalo.

Phone numbers:

(607) 777-2399 (my office)

(607) 777-2147 (department office)

(607) 777-2450 (fax: put my name at top of page)




LN 2222

Curriculum Vitae and List of Publications


My book "Topological Methods in Group Theory" is Volume 243 of the series Graduate Texts in Mathematics (Springer 2008). For the book's home page click here.
To order from Springer click here. To see a table of Contents, click here.


This textbook, written with Matthias Beck, is published in the Springer series Undergraduate Texts in Mathematics. It is written for a one-semester course for undergraduates who are learning to read, write and do mathematics at a professioinal level. Usually, the course is taken after calculus and before analysis and abstract algebra. For the book's home page click here.


Topology, geometric group theory, fixed point theory, dynamics.

My primary field of expertise is topology. Within that large area I am particularly interested in the interplay between group theory and geometry/topology. Names of subfields create artificial boundaries in mathematics and I dislike them. But, with that disclaimer, my interests have led me in recent years to work in: geometric and homological group theory, fixed point theory, and certain parts of dynamical systems. Some of the questions motivating this work are algebraic, involving the algebraic K-theory of rings associated with the fundamental group; this is how I got interested in Nielsen fixed point theory, particularly parametrized versions of that theory. Other questions are about how an action by a discrete group on a non-positively curved space can lead to group theoretic information. I'm also interested in understanding the algebraic topology invariants of a group which come from studying the "end" of the universal cover of a suitable classifying (aka K(G,1)) space. There's a vein of information here that has not been mined. This is one of the themes of the above-mentioned book.


(for full list click Curriculum Vitae):

1. Geometric group theory

2. Fixed point theory and dynamics

3. Other topology

4. Applied mathematics

Link for Math 220

  • ``Old notes for Math 220'' pdf file

  • Link for Math 461

  • ``Classification of Surfaces'' by John Stillwell pdf file

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