Joshua Fallon

Ph.D. Candidate in Graph Theory at Louisiana State University

Name Joshua Fallon
Address Baton Rouge, Louisiana
Website math.lsu.edu/~jfallo3
Email jfallo3 (at) math (dot) lsu (dot) edu
Joshua Fallon

I am a Ph.D. candidate in my fourth 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. below.

Download my C.V.

Papers

Published Papers

J. Fallon, S. Gao, H. Niederhausen

Proof of a Lattice Paths Conjecture related to the Tennis Ball Problem, J. Stat. Plan. & Inf. 140, 2227-2229

J. Fallon, S. Gao, H. Niederhausen, S. Sullivan

Elements of Sn of order dividing a given number, Congressus Numerantium 191, 205-212

J. Fallon, S. Gao, H. Niederhausen

A Finite Operator Approach to the Tennis Ball Problem, Congressus Numerantium 184, 5-10

Submitted Papers

G. Ding, J. Fallon, E. Marshall

On almost-planar graphs

Papers in Preparation

J. Fallon, L. Metcalf

Graphical Analysis of Passive DNS Records for Sinkhole Identification

Conferences, Workshops, and Collaborations

2017

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"

Joshua Fallon

Baton Rouge, Louisiana

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

Send a message