I am a Robert Riley Visiting Assistant Professor in the Department of Mathematics and Statistics at Binghamton University, State University of New York (SUNY). My research is in the area of graph theory and matroid theory. A short introduction to matroid theory can be found in the paper "Briefly, what is a matroid?" by James Oxley. I worked under the supervision of James Oxley for my PhD and graduated in 2022 from Louisiana State University. During the same year, I also graduated with an MS in Computer Science from LSU. For my master's project in Computer Science, I worked with Nash Mahmoud . My CV is here.
Before joining LSU, I obtained an integrated BS-MS Dual degree from IISER Mohali.
Research:
(with James Oxley) Complementation, local complementation, and switching in binary matroids, Adv. in Appl. Math. 126 (2021), 102041, 13pp.
(with G. Drummond, Z. Gershkoff, S. Jowett, C.Semple) Elastic elements in 3-connected matroids, Electronic J. Combin., 28 (2021), #P2.39, 15 pp.
(with James Oxley) Generalizing cographs to 2-cographs, Electronic J. Combin., 30 (2023), Paper 1.1 , 32 pp.
(with James Oxley) The smallest class of binary and ternary matroids closed under direct sums and complements, SIAM J. Discrete Math., 36 (2022), 2051-2072.
Cographs and 1-sums, Graphs and Combin., 40, 2 (2024).
(With Vaidy Sivaraman, Thomas Zaslavsky) Apex graphs and cographs, submitted.
(With Vaidy Sivaraman) Edge-apexing in hereditary classes of graphs, submitted.
(With Vaidy Sivaraman) Extending matroid classes closed under flats, submitted.
Selected talks (available online):
"Pure mathematics is, in its way, the poetry of logical ideas"
- Albert Einstein
Being able to convey these logical ideas to others gives a feeling of satisfaction and joy. This is the reason I love teaching.
Teaching at SUNY Binghamton:
Math 130 Mathematics in Action (Fall 2023)
Math 314 Discrete Mathematics (Fall 2022, Fall 2023, Spring 2023)
Math 381 Graph Theory (Spring 2023, Spring 2024)
Teaching at LSU:
Math 1551 (Fall 2020)
Math 1550 (Fall 2019)
Math 1021 (Spring 2019)
Math 1021 (Fall 2018)
Teaching Awards:
Honorable mention for the Harpur College Teaching Award, SUNY Binghamton (2023)
LSU Alumni Association Teaching Assistant Award (2020)
LSU Certificate of Teaching Excellence (Fall 2018, Fall 2020, Spring 2022)
LSU David Oxley Teaching Award (Fall 2019)
WH 209,
Department of Mathematics and Statistics,
SUNY Binghamton,
Email: jsingh@binghamton.edu