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 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.

Download my C.V.

Download my research statement

Download my teaching statement

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

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

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