Brian Rushton's Home Page

Office: 288 TMCB
e-Mail:brirush@mathematics.byu.edu



I am a visiting assistant professor in the math department at Brigham Young University. I research finite subdivision rules and other areas of geometric group theory.

My advisor was Jim Cannon. I spent 3 years at Temple University as a postdoc before coming to BYU.

Teaching

I have taught the following classes over the last ten years:
  • Engineering Mathematics, Winter 2016
  • Linear Algebra, Summer 2015, Fall 2015
  • Abstract Algebra, Spring 2015
  • Knot Theory, Spring 2014
  • Multivariable calculus, Fall 2013, Winter 2016
  • Point-set topology, Fall 2012
  • Honors Differential Calculus, Fall 2010, Winter 2011.
  • Integral Calculus, Winter 2010, Fall 2011, Winter 2012, spring/summer 2011, Spring 2013
  • Differential Calculus, Fall 2009, Spring 2010, Winter 2012, Fall 2014, Spring 2015.
  • Trigonometry, Spring 2008.
  • Differential/Integral Calculus, Recitation Instructor (TA), 2006-2008.
  • Mentoring

    I have also been active in undergraduate research. I have independently mentored the following students:
  • Joshua Lloret, Spring 2014. At the end of his research, he won a $100 award for this poster which he created summarizing his work.
  • Louis Rubin, Fall 2014. Our research has resulted in the following publication: Enumeration of m-Endomorphism
  • Research

    I was graduate student of Jim Cannon. My research areas are geometric group theory, subdivision rules, and infinite graphs.

  • Classification of low-dimensional subdivision rules, Conform. Geom. Dyn. 18 (2014), 171-191.
  • A finite subdivision rule for the n-dimensional torus, 2013 Geometriae Dedicata, 167(1):23--34.
  • Constructing subdivision rules from polyhedra with identifications, 2012, Algebraic and Geometric Topology, 12, 1961--1992.
  • Constructing Subdivision Rules from Alternating Links, Conform. Geom. Dyn. 14 (2010), 1--13.