Faculty & Staff Profiles

Publications & Conferences

Research Papers:

  1. Horak, M., Stein, M., and Taback, J., A note on convexity properties of Thompson`s group F, Journal of Group Theory, to appear 2011.
    arXiv:arXiv:0801.1862

  2. Horak, M., LaRose, E., Moore, J., Rooney, M., and Rosenthal, H., Roundness properties of graphs, Involve, Volume 3, No. 1(2010), 67 - 91.
    PDF

  3. Horak, M., and Stein, M. Partially ordered groups which act on oriented order trees, Rocky Mountain Journal of Mathematics, Volulme 40, No 5(2010) 1527 - 1578.
    arXiv:math.GR/0503407

  4. Horak, M., Stein, M., and Taback, J., Computing word length in alternate presentations of Thompson`s group F, International Journal of Algebra and Computation, Volume 19, Issue 8(2009), pp. 963-997.
    arXiv:arXiv:0706.3218 or DOI 10.1142/S0218196709005445

  5. Horak, M., Mapping class subgroups of Out(Fn), Pacific Journal of Mathematics, 227 (2007), No. 1, 65-94.
    arXiv:math.GT/0310328

  6. Becker, J., Horak, M. and VanWyk, L. Presentations of subgroups of Artin groups, Missouri Journal of Mathematical Sciences, 10 (1998), No. 1, 3-14.
    PDF

Expository and Teaching Papers:

  1. Horak, M., Disentangling topological puzzles by using knot theory, Mathematics Magazine, 79:4 (2006), 368 - 375.
    PDF

  2. Becker, J., Ghenciu, P., Horak, M., Schroeder, H., A College Lesson Study in Calculus, Preliminary Report, International Journal of Mathematical Education in Science and Technology, Volume 39 Issue 4, June 2008, 491-503.
    PDF;
    Author Posting. (c) Taylor and Francis, 2008.
    (This is the author's version of the work. It is posted here by permission of Taylor and Francis for personal use, not for redistribution. The definitive version was published in International Journal of Mathematical Education in Science and Technology, Volume 39 Issue 4, June 2008. doi:10.1080/00207390701867463

Conference Talks:

  1. Horak, M., Stein, M., Taback, J. Length and convexity in Thompson`s Group F, Spring 2008 Southeastern Section Meeting of the AMS.

  2. Horak, M., Stein, M., Taback, J. Length in Thompson`s Group F, Fall 2006 Western Section Meeting of the AMS.

  3. Horak, M., Steim, M. An order-theoretic characterization of groups admitting actions on oriented order trees, Fall 2005 Eastern Section of the AMS.