Name | Joshua Fallon |

Address | Baton Rouge, Louisiana |

Website | math.lsu.edu/~jfallo3 |

jfallo3 (at) math (dot) lsu (dot) edu |

I am a Ph.D. candidate in my fifth year of study, currently supported by a GAANN fellowship. My general field of study is graph theory, and I specifically work with graphs on surfaces. I am also interested in enumerative combinatorics and applications of graph theory to information security. Use the tabs above to explore my mathematical and instructional work, or download a full copy of my C.V., teaching statement, or research statement below.

Papers |
Published Papers J. Fallon, S. Gao, H. Niederhausen Proof of a Lattice Paths Conjecture related to the Tennis Ball Problem, J. Fallon, S. Gao, H. Niederhausen, S. Sullivan Elements of S J. Fallon, S. Gao, H. Niederhausen A Finite Operator Approach to the Tennis Ball Problem, Congressus Numerantium Accepted Papers G. Ding, J. Fallon, E. Marshall ,Electronic Journal of Combinatorics, to appear
Papers in Preparation J. Fallon Criticality of Counterexamples to Edge-hamiltonicity on the Klein Bottle J. Fallon, B. Oporowski A Family of 2-Crossing-Critical Graphs on the Projective Plane J. Fallon, L. Metcalf Graphical Analysis of Passive DNS Records for Sinkhole Identification |

Conferences, Workshops, and Collaborations |
2017 5th annual Mississippi Discrete Workshop 4-5 November, University of Mississippi, Oxford, Missippi, USA 58th Midwestern Graph Theory Conference 6-7 October, Grand Valley State University, Allendale, Michigan, USA Structure in Graphs and Matroids 2017 17-21 July, University of Waterloo, Waterloo, Ontario, Canada Mathematics Research Communities 2017 "Beyond Planarity: Crossing Numbers of Graphs" 17-20 June, Snowbird, Utah, United States Graduate Student Combinatorics Conference 8-9 April, University of Kansas, Lawrence, Kansas, USA Contributed talk: "A family of 2-crossing-critical graphs on the projective plane" 48th Southeastern International Conference on Combinatorics, Graph Theory, and Computing 6-10 March, Florida Atlantic University, Boca Raton, Florida, USA Contributed talk: "A family of 2-crossing-critical graphs on the projective plane" 2016 CERT Division, Software Engineering Institute Carnegie Mellon University, Pittsburgh, Pennsylvania, USA Research intern in network structure, traffic management, and cryptocurrency; and domain expert in graph theory for SEI researchers Graduate Student Combinatorics Conference 1-3 April, Clemson University, Clemson, South Carolina, USA Contributed talk: "Characterizing almost-planar graphs" 47th Southeastern International Conference on Combinatorics, Graph Theory, and Computing 7-11 March, Florida Atlantic University, Boca Raton, Florida, USA Contributed talk: "Characterizing almost-planar graphs" |

Louisiana State University |
Instructor of Record Fall 2017 The Nature of Mathematics Fall 2016 The Nature of Mathematics Spring 2016 College Algebra Fall 2015 College Algebra Spring 2015 Calculus I Fall 2014 College Algebra Other Duties Fall 2016 Business Calculus recitation leader Spring 2016 Grading for Discrete Dynamical Systems Fall 2014 Assistant Lab Manager for Precalculus Math Lab Spring 2014 Assistant Lab Manager for Precalculus Math Lab Grading for Linear Algebra Fall 2013 Business Calculus recitation leader |

South University |
Fall 2012 Principles of Algebra |

Palm Beach Atlantic University |
Fall 2008 Calculus I Developed shell for and taught PBAU's pilot fully-online Calculus I course Spring 2007 Trigonometry and Analytic Geometry Fall 2004 A Survey of Finite Mathematics |

Florida Atlantic University |
Spring 2005 College Algebra Fall 2005 College Algebra Spring 2006 College Algebra Spring 2007 College algebra |

### Joshua Fallon

Baton Rouge, Louisiana

Web: math.lsu.edu/~jfallo3

E-mail: jfallo3(at)math.lsu.edu