E. Todd Eisworth

E. Todd Eisworth is a Professor in the Department of Mathematics at Ohio University, within the College of Arts and Sciences. He is based in Morton Hall 315E and can be reached at eisworth@ohio.edu or by phone at 740-593-1262. He has been a faculty member at Ohio University since 2003, progressing from Assistant to Associate to full Professor in 2023. Prior to this, he held assistant professor and visiting positions at the University of Northern Iowa and Ohio University.

• Ph.D., University of Michigan
• B.S., Louisiana State University

Dr. Eisworth's research lies at the intersection of mathematical logic and topology, with a strong emphasis on set theory and set-theoretic topology. His work explores deep combinatorial and structural aspects of infinite sets, particularly through iterated forcing, PCF theory, pseudopowers, and cardinal arithmetic. He investigates how set-theoretic methods influence topological spaces, especially compacta and convergence properties.

His recent publications demonstrate a sustained focus on pseudopowers, the Revised GCH, and combinatorial principles related to singular cardinals. These works appear in leading journals such as the Journal of Symbolic Logic, Topology and its Applications, and Archive for Mathematical Logic. The recurring themes include PCF theory, covering numbers, and forcing techniques, indicating a cohesive research program in advanced set theory.

His scientific contributions have been recognized with several awards:

• 2023–2024 Presidential Research Scholar, Ohio University
• 2019–2020 MAC-ALDP Fellow
• 2007–2008 Grasselli Faculty Teaching Award
• 2004 University Book and Supply Outstanding Teaching Award
• 1994 Sumner Myers Prize

Dr. Eisworth has successfully advised five doctoral students, including Laura Dolph-Bosley, Douglas Hoffman, Frank Ballone, Michael Perron, and Shehzad Ahmed, whose dissertations reflect his expertise in elementary submodels, coloring theorems, selection principles, and combinatorial ideals. His research has been supported by external funding, including an NSF grant on homogeneous compacta and a US-Israel BSF grant on forcing for set theory of the reals. He is also an active participant in the international set theory community, regularly presenting at major conferences and seminars.

He has been involved in collaborative research and has contributed chapters to authoritative volumes such as the Handbook of Set Theory and Open Problems in Topology II. His academic service includes leadership as Chair of the Department of Mathematics from 2013 to 2020.