معرفی
Eric Swartz is an Associate Professor of Mathematics at William & Mary, specializing in abstract algebra and combinatorics with a focus on group theory applications to finite structures like graphs and geometries.
Education:
- Ph.D. in Mathematics, The Ohio State University (2009) - Dissertation: "2-arc transitive polygonal graphs of large girth and valency" under Ákos Seress
- B.A. in Mathematics, Harvard University (2004)
Research Interests:
His research lies at the intersection of abstract algebra and combinatorics, primarily focusing on:
- Applications of group theory to finite structures (graphs, geometries)
- Combinatorics of finite groups
- Generalized quadrangles and incidence geometries
- Covering numbers of groups and rings
- Partial difference sets and combinatorial designs
Recent Research Trends:
Swartz's recent work (2020-2024) demonstrates a strong focus on covering numbers in algebraic structures, particularly in rings and groups. His 2024 publications include significant advances in understanding the covering numbers of rings and their applications. Additionally, his ongoing work on nonabelian partial difference sets showcases his expertise in combinatorial designs and group theory.
Previous Positions:
- Riley Visiting Assistant Professor, Binghamton University (2010-2012)
- Research Associate, Centre for the Mathematics of Symmetry and Computation, University of Western Australia (2013-2015)
Contact: easwartz@wm.edu
