I am interested in the field of combinatorics. More specifically, I work in the areas of finite geometry, algebraic graph theory, and Ramsey Theory. For a more thorough description of the research I am interested in and an outline of projects I have worked on, please see my research statement.
Articles and Manuscripts
- L. Lane-Harvard, D. Schaal, “Disjunctive Rado Numbers for ax+y = z and bx+y = z.” Integers (13) 2013, A62, 11pp.
- L. Lane-Harvard, T. Penttila, “Some strongly regular graphs with the parameters of Paley graphs.” Submitted.
- L. Lane-Harvard, S. Payne, T. Penttila, “Strongly Regular Graphs, Arcs, and Generalized Quadrangles.” In preparation.
- L. Lane-Harvard, T. Penttila, “Some new two-weight ternary and quinary codes of lengths six and twelve.” In preparation.
- L. Lane-Harvard, T. Penttila, “Some new pseudo-geometric strongly regular graphs.” In preparation.
- L. Lane-Harvard, T. Penttila, “Flocks, ovoids, and strongly regular graphs.” In preparation.
- “Constructions of Strongly Regular Graphs” Rocky Mountain Mathematics
Consortium: Algebraic Graph Theory, University of Wyoming, June 2013
- AMS- Sectional Meeting, Iowa State University, April 2013
- “Constructing Combinatorial Objects” Mathematics Seminar, Black Hills State
University, January 2013
- “Disjunctive Rado Numbers for ax + y = z and bx + y = z” South Dakota State University, July 2009