I am a fifth-year Ph.D. student in mathematics at Louisiana State University. I am currently studying under the supervision of James Oxley. My research focuses on graph theory and matroid theory. An introduction to matroids can be found in the short paper, "Briefely what is a matroid?" by James Oxley. My CV can be found here. My email address is jdouth5@lsu. edu. My preferred name is Dylan.
Prior to starting at LSU, I complete a Master's Degree under the supervision of Anton Dochtermann at Texas State University. My master's thesis, "Chip-firing on graphs: stability, the dollar game, and the Tutte polynomial" is available through the Texas State University library.
From left: LSU Vice President & Provost Dr. Roy Haggerty, myself, LSU President Dr. William Tate IV
Research:
(with J. Oxley) Chordal matroids arising from generalized parallel connections II, submitted.
(with J. Oxley) Chordal matroids arising from generalized parallel connections, Adv. in Appl. Math., 153 (2024), 102631, 10 pp.
(with J. Oxley) Bounding the number of bases of a matroid, Discrete. Math., 345 (2022), 112636, 3 pp.
Teaching:
Instructor of Record:
Trigonometry (Spring '23, Spring '24)
College Algebra (Fall '22, Fall '23)
Geometry, Reasoning, and Measurement (Fall '23)
Integral Calculus (Spring '23)
Calculus I (Fall '21, Spring '22)
Calculus III (Summer '20)
Elementary Algebra (Fall '18, Spring '19)
Course administration:
Business calculus (Fall '20, Spring '21)
Recitations:
Business calculus (Fall '19, '20, Spring '20, '21)
Precalculus (Fall '17, Spring '18)
Awards and Honors:
Teaching:
Louisiana State University Alumni Association Teaching Award (2023)
David Oxley Teaching Assistant Award, Louisiana State Universtiy, Dept. of Mathematics (Fall '21)
Certificate of Teaching Excellence, Louisiana State University, Dept. of Mathematics (Fall '22, Fall '23)
Teaching Excellence Award, Texas State University, Dept. of Mathematics (2018)
Research:
2024-2025 Dissertation-Year Fellowship, Louisiana State University
Editors' Choice Award 2022, for article "Bounding the number of bases of a matroid" selected by the Editors for its unique contribution to Discrete Mathematics over the last three years.
Talks:
Conferences:
33rd Cumberland Conference - May 2024
CombinaTexas - March 2024
Seminars:
Binghamton University Combinatorics Seminar - November 2023
LSU Combinatorics Seminar - October 2023
Texas State University REU Colloquium - June 2022
LSU Geaux Mathematics - August 2021