Todd Eisworth

Professor

Faculty Senate

Mathematics

Education

2023-present Professor, Ohio University
2008-2023 Associate Professor, Ohio University
2013-2020 Chair, Department of Mathematics
2004-2008 Assistant Professor, Ohio University
2001-2004 Assistant Professor, University of Northern Iowa.
2000-2001 Visiting Assistant Professor, University of Northern Iowa
1999-2000 Visiting Assistant Professor, Ohio University
1997-1999 Post-doctoral researcher (under Saharon Shelah), Hebrew University of Jerusalem
1994-1997 Temporary Assistant Professor, University of Kansas

2023-2024 Presidential Research Scholar, Ohio University
2019-2020 MAC-ALDP Fellow
2007-2008 Grasselli Faculty Teaching Award, College of Arts and Sciences, Ohio University
2004 University Book and Supply Outstanding Teaching Award, University of Northern Iowa
1994 Sumner Myers Prize, University of Michigan

Laura Dolph-Bosley (Ph.D. awarded 2009) Applications of elementary submodels in topology
Douglas Hoffman (Ph.D. awarded 2013) A coloring theorem for inaccessible cardinals
Frank Ballone (Ph.D. awarded 2017) -sets and the selection principle
Michael Perron (Ph.D. awarded 2017) On the structure of independent families
Shehzad Ahmed (Ph.D. awarded 2019) Progressive ideals in combinatorial set theory

Eisworth, T. (2023) The pseudopower dichotomy, Journal of Symbolic Logic.
Eisworth, T. (2023) A note on the Revised GCH, Topology Appl.
Eisworth, T. (2022) Representability and compactness for pseudopowers, Archive for Mathematical Logic 61, no. 1-2, 55-80.
Dow, A. & Eisworth, T. (2015) CH and the Moore-Mrowka problem, Topology Appl. 195, 226-238.

Eisworth, T. (2010) Successors of Singular Cardinals. In Handbook of Set Theory, Matthew Foreman and Akihiro Kanamori eds., Chapter 15 1229-1350, Springer, 2010. ISBN 978-1-4020-4843-2.
Eisworth, T. (2007) On D-spaces. In Open Problems in Topology II, Elliott Pearl ed., Chapter 13, 129- 134, Elsevier Publishing, Amsterdam, The Netherlands, 2007. ISBN 0-444-52208-5.
Eisworth, T., Moore, J.T., & Milovich, D. (2013) Iterated forcing and the Continuum Hypothesis, In Appalachian Set Theory: 2006-2012, James Cummings and Ernest Schimmerling eds., Chapter 7 207-244, Cambridge University Press (London Mathematical Society Lecture Note Series v. 406) 2013. ISBN:9781107608504.

Galvin’s Conjecture and Weakly Precipitous Ideals Workshop on Set- theoretic Topology, Casa Matematica Oaxaca, Mexico 2023
What ELSE is PCF theory good for? New Directions in Set Theoretic Topology, University of Pittsburgh 2022
On club and its relatives, Advances in Set Theory, Hebrew University of Jerusalem, Israel 2022
Representability and Pseudopowers, European Set Theory Conference, Vienna, Austria 2019

New Minimal Linear Orderings, Notre Dame Logic Seminar, October 4, 2022
Three Lectures on Totally Proper Forcing, Carolina Topology Seminar (virtual) Summer 2022.
The Revised GCH, Cornell Logic Seminar, Ithaca NY, September 2021.
Some new(?) useless(?) results in cardinal arithmetic, Carolina Topology Seminar, Charlotte (virtual), October 16, 2020.
Representability and Pseudopowers, Toronto Set Theory Seminar, Toronto (virtual) April 24, 2020.
An Introduction to cov vs. pp, Cornell Logic Seminar, Ithaca NY, 2019
A proof of cov vs. pp, Toronto Set Theory and Topology Seminar, Toronto, November 23, 2012.
On Jonsson Cardinals, Miami University Set Theory/Topology Seminar, Oxford, OH April 20, 2006.
Coloring Theorems, Carnegie-Mellon Mathematical Logic Seminar, Pittsburgh, PA, October 28, 2004.
CH and the Moore-Mrowka problem (2 lectures), University of Toronto Set Theory Seminar, Toronto, ON Canada, August 2-3, 2000.
CH, wD, and the Moore-Mrowka problem (2 lectures), University of Toronto Set Theory Seminar, Toronto, ON, Canada July 28 and August 4, 1999.
Gently Killing S-spaces, University of Toronto Set Theory Seminar, March 24, 1999
How Strong is the Continuum Hypothesis?, Mathematics Department Ohio University, Athens, OH. October 1998.
How Strong is the Continuum Hypothesis?, Mathematics Department University of South Carolina, Columbia, South Carolina, October 1997

NSF Grant DMS 0506063 “Problems on Homogeneous Compacta” (co. PI with A. Arhangelskii) $147,963 2005-2007.
US-Israel Binational Science Foundation Grant No. 2002323 “Forcing for Set Theory of the Reals” (co-PI with A. Blass, A. Roslanowski, and S. Shelah) 2003-2006.