Contact Information: 



Department of Mathematics 







8600 







Email: jtaback@bowdoin.edu 



(207) 7253951 (Office) (207) 7253750 (Fax) Office: Searles 202 


I am an associate professor of mathematics at Bowdoin College. Click here for the Bowdoin math department web page, and here for links to my teaching for the current semester.
Research interests, from the very broad to the very specific: geometric and combinatorial group theory, quasiisometric rigidity, Thompson’s groups, lamplighter groups, limit groups, groups whose Cayley graphs are DiestelLeader graphs, understanding twisted conjugacy classes in a variety of geometric contexts.
My
research has been partially supported by NSF grants DMS0305411 and DMS0604645
and is currently supported by grant DMS1105407, as well as development grants
from
Papers 

Free Limits of Thompson's group $F$ (joint with Azer Akhmedov and Melanie Stein, to appear in Geometriae Dedicata. 

Tame combing and almost convexity conditions (joint with S. Cleary, S. Hermiller and M. Stein), to appear in Math Z. 

The geometry of twisted conjugacy classes in wreath
products (joint with Peter Wong), to appear in Geometry, Rigidity and
Group Actions, 

Convexity properties of Thompson's group F (joint with Melanie Stein and Matthew Horak), to appear in the Journal of Group Theory. 

Random subgroups of Thompson's group F (joint with Sean Cleary, Murray Elder and Andrew Reichnitzer), Groups Geom. Dyn. 4 (2010), no. 1, 91–126. 

Computing word length in alternate presentations of
Thompson's group F (joint with Melanie Stein and Matthew Horak), Internat. J. Algebra Comput. 19(2009),
no. 8, 963997. 

A note on twisted conjugacy and generalized BaumslagSolitar groups (joint with Peter Wong), preprint, 2006. 

Twisted conjugacy and quasiisomety invariance for
generalized solvable BaumslagSolitar groups (joint with Peter Wong), J. Lond. Math. Soc. (2) 75 (2007), no.
3, 705717. 

Combinatorial and metric properties of Thompson’s
group T (joint with Jose Burillo, Sean Cleary and Melanie Stein, Trans. Amer. Math. Soc. 361
(2009), no. 2, 631652. 

Bounding rightarm rotation distances (joint with Sean
Cleary), Internat. J. Algebra Comput.17 (2007),
no. 2, 369399. 

Cone types and geodesic languages for lamplighter groups and Thompson's group F (joint with Sean Cleary and Murray Elder), J. Algebra, Vol. 303 No. 2 (2006), pp. 476500. 

Metric properties of the lamplighter group as an automata group (joint with Sean Cleary), in Jose Burillo, Sean Cleary, Murray Elder, Jennifer Taback and Enric Ventura, editors, Geometric Methods in Group Theory, American Mathematical Society, 2005. 

Dead end words in lamplighter groups and other wreath products (joint with Sean Cleary), Quarterly Journal of Mathematics Volume 56 No. 2 (2005), pp.165178. 

Seesaw words in Thompson's group F (joint with Sean Cleary), in Jose Burillo, Sean Cleary, Murray Elder, Jennifer Taback and Enric Ventura, editors, Geometric Methods in Group Theory, American Mathematical Society, 2005. 

The large scale geometry of some metabelian groups (joint
with Kevin Whyte), 

Restricted rotation distance (joint with Sean Cleary), Information Proc. Letters, Vol. 88 No. 5 (2003), pp. 251256. 

Geometric quasiisometric embeddings into Thompson's group F (joint with Sean Cleary), New York Journal of Mathematics, 9 (2003), pp. 141148. 

Combinatorial properties of Thompson's group F (joint with Sean Cleary), Trans. AMS. Vol. 356 No. 7 (2004), pp. 28252849 (electronic). 

Thompson's group F is not almost convex (joint with Sean Cleary), J. Algebra, Vol. 270 No. 1 (2004), pp 133149. 

Surface symmetries and PSL(2,p) (joint with Murad Ozaydin and Charlotte Simmons), Trans. Amer. Math. Soc. 359(2007), 22432268. 

Equivalence of geometric and combinatorial Dehn functions (joint with Jose Burillo), New York Journal of Mathematics, 8 (2002), pp. 169179. 

The Dehn function of PSL(2,Z[1/p]), Geom. Dedicata, Vol. 102 No. 1 (2003) pp. 179195. 

Quasiisometric rigidity of PSL(2,Z[1/p]), Duke Math. Journal, 101 (2000), No. 2, pp. 335357. 
Links 

Thomas Pietraho 

Department of Mathematics, 


