Items Authored by Brin, Matthew G. as appear on MathSciNet. Institutional subscription to MathSciNet is required.

• (with Collin Bleak, Justin Tatch Moore) Complexity among the finitely generated subgroups of Thompson’s group, J. Comb. Algebra 5 (2021), 1-58. doi
• (with Collin Bleak, Martin Kassabov, Justin Tatch Moore, Matthew C. B. Zaremsky) Groups of fast homeomorphisms of the interval and the ping-pong argument, J. Comb. Algebra 3 (2019), 1-40. doi
• (with Garry Bowlin) Coloring planar graphs via colored paths in the associahedra, Int'l. J. of Algebra and Computation 23 (2013), 1337-1418. doi
• (with Gareth A. Jones and David Singerman) Commentary on Robert Riley's article "A personal account of the discovery of hyperbolic structures on some knot complements", Expo. Math. 31 (2013) 99-103. doi
• The Free Group of Rank 2 is a Limit of Thompson's Group F, Groups Geom. Dyn. 4 (2010), 433-454. doi
• On the Baker's map and the Simplicity of the Higher Dimensional Thompson Groups nV, Publ. Mat. 54 (2010), 433-439. doi
• The Algebra of Strand Splitting. I. A Braided Version of Thompson's Group V, J. Group Theory, 10 (2007), 757-788. doi
• The Algebra of Strand Splitting. II. A Presentation for the Braid Group on One Strand, Int'l. J. of Algebra and Computation, 16 (2006), 203-219. doi
• Elementary Amenable Subgroups of R. Thompson's group F, Int'l. J. of Algebra and Computation, 15 (2005), 619-642. doi
• Presentations of higher dimensional Thompson groups, J. Algebra 284 (2005), 520-558. doi
• Coherence of Associativity in Categories with Multiplication, Journal of Pure and Applied Algebra 198 (2005), 57-65. doi
• On the Zappa-Szep product, Comm. in Algebra 33 (2005), 393-424. doi
• Higher dimensional Thompson groups, Geometriae Dedicata 108 (2004), 163-192. doi
• (with C. Squier) Presentations, conjugacy, roots, and centralizers in groups of piecewise linear homeomorphisms of the real line, Comm. in Algebra 29 (2001), 4557-4596. doi
• The ubiquity of Thompson's group F in groups of piecewise linear homeomorphisms of the unit interval, J. Lond. Math. Soc. (2) 60 (1999), 449-460. doi
• (with F. Guzman) Automorphisms of generalized Thompson groups, J. Algebra 203 (1998), 285-348. doi
• The Chameleon Groups of Richard J. Thompson: Automorphisms and Dynamics, Pub. Math. IHES 84 (1996), 5-33. doi
• (with D. Rauschenberg and C. Squier) On the genus of the semi-direct product of Z₉ by Z₃, J. Graph Theory 13 (1989), 49-61. doi
• (with T.L. Thickstun) 3-manifolds which are end 1-movable, Mem. Amer. Math. Soc., Vol. 81, No. 411, (1989), 1-73. doi
• (with C. Squier) On the genus of Z₃ x Z₃ x Z₃, Europ. J. Combinatorics 9 (1988), 431-443. doi
• (with T.L. Thickstun) Open, irreducible 3-manifolds which are end 1-movable, Topology 26 (1987), 211-233. doi
• (with T.L. Thickstun) On properly embedding non compact surfaces in arbitrary 3-manifolds, Proc. Lond. Math. Soc. (3) 54 (1987), 350-366. doi
• (with T. L. Thickstun) On the proper Steenrod homotopy groups, and proper embeddings of planes into 3-manifolds, Trans. Amer. Math. Soc. 289 (1985), 737-755. doi
• (with C. Squier) Groups of piecewise linear homeomorphisms of the real line, Invent. Math. 79 (1985), 485-498. doi
• (with G. P. Scott and K. Johannson) Totally peripheral 3-manifolds, Pacific J. Math. 118 (1985), 37-51. doi
• Curves isotopic to tame curves, Continua, decompositions, manifolds, Proceedings of Texas Topology Symposium 1980, University of Texas Press, Austin, 1983, 163-166.
• (with D.R. McMillan, Jr.) Generalized three-manifolds with zero-dimensional non-manifold set, Pacific J. Math. 97 (1981), 29-58. doi
• Torsion free actions on 1-acyclic manifolds and the loop theorem, Topology 20 (1981), 353-363. doi
• Generalized 3-manifolds whose non-manifold set has neighborhoods bounded by tori, Trans. Amer. Math. Soc. 264 (1981), 539-555. doi
• Improving 3-manifold compactifications of open 3-manifolds, Houston J. Math. 4 (1978), 149-163.
• (with J.O. Berge) A handlebody with one pillbox has no fake 3-cells, Proc. Amer. Math. Soc. 52 (1975), 390-392. doi

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