Research Interests: Combinatorial and Geometric Group Theory, especially properties of fundamental groups of 3-manifolds and related groups
Publications
Tubular groups, 1-relator groups and nonpositive curvature
– International Journal of Algebra and Computation
(2019)
29,
1367
(doi: 10.1142/S021819671950053X)
Aspects of non positive curvature for linear groups with no infinite order unipotents
– Groups, Geometry, and Dynamics
(2018)
13,
277
(doi: 10.4171/ggd/484)
Free by cyclic groups and linear groups with restricted unipotent elements
– journal of Groups complexity cryptology
(2017)
9,
137
(doi: 10.1515/gcc-2017-0009)
The Uniqueness of the Prime Markoff Numbers
– Journal of the London Mathematical Society
(2016)
58,
9
(doi: 10.1112/S0024610798006292)
Tubular Free by Cyclic Groups Act Freely on CAT(0) Cube Complexes
– Canadian Mathematical Bulletin
(2016)
60,
54
(doi: 10.4153/cmb-2016-074-0)
Acylindrical hyperbolicity, non-simplicity and SQ\hbox{-}universality of groups splitting over ℤ
– Journal of Group Theory
(2016)
20,
371
(doi: 10.1515/jgth-2016-0045)
Nonhyperbolic free-by-cyclic and one-relator groups
– The New York Journal of Mathematics
(2016)
22,
755
Groups and Embeddings inSL(2, ℂ)
– Communications in Algebra
(2015)
44,
265
(doi: 10.1080/00927872.2014.975347)
Transversals as generating sets in finitely generated groups
– Bulletin of the Australian Mathematical Society
(2015)
93,
47
(doi: 10.1017/s0004972715000982)
Growth in Infinite Groups of Infinite Subsets
– Algebra Colloquium
(2015)
22,
333
(doi: 10.1142/S1005386715000292)
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