## Bradley Forrest

#### Associate Professor of Mathematics

Phone: | 609.626.6860 |

Email: | Bradley.Forrest@stockton.edu |

Office: | B-009a |

Website/CV: | Curriculum Vitae |

**EDUCATION**

Ph.D., Mathematics, *Cornell University* (2009)

M.S., Mathematics, *Cornell University* (2005)

B.S., Mathematics and Physics, *Harvey Mudd College* (2002)

**COURSES TAUGHT**

Precalculus

Discrete Mathematics

Calculus I, II, III

Geometry for Teachers

Linear Algebra

Foundations of Mathematics

Geometric Topology

Theoretical Mathematics for Teachers

Abstract Algebra

Topology

Games, Puzzles, and Mathematics

Mathematics and Politics

RESEARCH INTERESTS

RESEARCH INTERESTS

Topology; Geometric Group Theory; Community Scholarship; and Recreational Mathematics: Games and Puzzles

My mathematical research focuses on Geometric Group Theory, which is roughly the study of symmetries. Most recently I have been investigating symmetries of fractals, and trying to produce a mathematically rigorous way to understand these symmetries. I am also passionate about recreational mathematics, specifically the mathematics of puzzles and games. This passion motivates my work as faculty advisor to Stockton’s Gaming Club, and has led me to develop a general studies course: Games, Puzzles, and Mathematics.

I take great joy from working with students on research projects, and regularly have 2 or 3 research students. Most of the projects that I advise are centered in Geometric Group Theory or Recreational Mathematics, though I occasionally advise projects in Graph Theory or Combinatorics. My research students have studied the Rubik’s Cube, Self-intersecting polygons, knot theory, braid based cryptography, knight’s tours, the Vicsek fractal, self-avoiding walks, polyominoes, and graphs made by replacement rules.

**PUBLICATIONS**

**B. Forrest** and K. Teehan, The Topology of Knight's Tours on Surfaces, to appear in the Minnesota
Journal for Undergraduate Mathematics. Preprint available at https://arxiv.org/pdf/1507.02917.pdf

J. Belk and B.** Forrest**, Rearrangement Groups of Fractals, to appear in Transactions of the American Mathematical
Society. Preprint available at https://arxiv.org/pdf/1510.03133.pdf

J. Belk and **B. Forrest**, A Thompson Group for the Basilica. Groups, Geometry, and Dynamics, 9, no. 4 (2015)
975-1000. Preprint available at https://arxiv.org/pdf/1201.4225.pdf

**B. Forrest**, A Degree Theorem for the Space of Ribbon Graphs. Topology Proceedings, 45 (2015)
31-51. Preprint available at https://arxiv.org/pdf/1302.0554

**B. Forrest**, P. Kosick, J. Vogel and C. Wu, Mathematical Achievement of High School Students
Through Community Partnership: A Red Balloon Initiative. Teacher-Scholar: The Journal
of the State Comprehensive University, 4, no. 1 (2012) 29-38.

**B. Forrest**, P. Kosick, J. Vogel and C. Wu, Increasing Math Prociency in High School Teaching:
A Model for a College and Community Partnership. The Journal of Public Scholarship
in Higher Education, 2 (2012) 47-71.

H. Armstrong, **B. Forrest,** and K. Vogtmann, A Presentation for Aut(F_n). Journal of Group Theory, 11 (2008)
267-276. Preprint available at https://arxiv.org/pdf/math/0701937