Contact Information: |
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Department of Mathematics |
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8600 |
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Email: jtaback@bowdoin.edu |
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(207) 725-3951 (Office) (207) 725-3750 (Fax) Office: Searles 202 |
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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, quasi-isometric rigidity, Thompson’s groups, lamplighter groups, limit groups, understanding twisted conjugacy classes in a variety of geometric contexts.
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Papers |
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The geometry of twisted conjugacy classes in wreath products (joint with Peter Wong), preprint, 2008. |
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Convexity properties of Thompson's group $F$ (joint with Melanie Stein and Matthew Horak), preprint, 2007. |
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Random subgroups of Thompson's group $F$ (joint with Sean Cleary, Murray Elder and Andrew Reichnitzer), preprint, 2007. |
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Computing word length in alternate presentations of Thompson's group $F$ (joint with Melanie Stein and Matthew Horak), preprint, 2007. |
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A note on twisted conjugacy and generalized Baumslag-Solitar groups (joint with Peter Wong), preprint, 2006. |
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Twisted conjugacy and quasi-isomety invariance for generalized solvable Baumslag-Solitar groups (joint with Peter Wong), J. Lond. Math.
Soc. (2) 75 (2007), no. 3, 705--717. |
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Combinatorial and metric properties of Thompson’s group T (joint with Jose Burillo, Sean Cleary and Melanie Stein, to appear in Trans. AMS. |
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Bounding right-arm rotation distances (joint with Sean
Cleary), Internat. J. Algebra Comput.17 (2007), no. 2, 369--399. |
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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. 476-500. |
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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. |
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Dead end words in lamplighter groups and other wreath products (joint with Sean Cleary), Quarterly Journal of Mathematics Volume 56 No. 2 (2005), pp.165-178. |
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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. |
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The large scale geometry of some metabelian
groups (joint with Kevin Whyte), |
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Restricted rotation distance (joint with Sean Cleary), Information Proc. Letters, Vol. 88 No. 5 (2003), pp. 251-256. |
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Geometric quasi-isometric embeddings into Thompson's group F (joint with Sean Cleary), New York Journal of Mathematics, 9 (2003), pp. 141-148. |
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Combinatorial properties of Thompson's group F (joint with Sean Cleary), Trans. AMS. Vol. 356 No. 7 (2004), pp. 2825--2849 (electronic). |
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Thompson's group F is not almost convex (joint with Sean Cleary), J. Algebra, Vol. 270 No. 1 (2004), pp 133-149. |
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Surface symmetries and PSL(2,p) (joint with Murad Ozaydin and Charlotte Simmons), Trans. AMS, to appear. |
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Equivalence of geometric and combinatorial Dehn functions (joint with Jose Burillo), New York Journal of Mathematics, 8 (2002), pp. 169-179. |
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The Dehn function of PSL(2,Z[1/p]), Geom. Dedicata, Vol. 102 No. 1 (2003) pp. 179-195. |
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Quasi-isometric rigidity of PSL(2,Z[1/p]), Duke Math. Journal, 101 (2000), No. 2, pp. 335-357. |
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Links |
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Thomas Pietraho |
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Department of Mathematics, Bowdoin College |
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