Thomas J. Jech (Czech: Tomáš Jech, pronounced [ˈtɔmaːʃ ˈjɛx]; born January 29, 1944 in Prague) is a mathematician specializing in set theory who was at Penn State for more than 25 years. He was educated at Charles University (his adviser was Petr Vopěnka) and is now at the Institute of Mathematics of the Academy of Sciences of the Czech Republic. Jech's research also includes mathematical logic, algebra, analysis, topology and measure theory.
Jech gave the first published proof of the consistency of the existence of a Suslin line. With Karel Prikry, he introduced the notion of precipitous ideal. He gave several models where AC failed, for example one with ω1 measurable.
- Lectures in set theory, with particular emphasis on the method of forcing, Springer-Verlag Lecture Notes in Mathematics 217 (1971) (ISBN 978-3540055648)
- The axiom of choice, North-Holland 1973 (Dover paperback edition ISBN 978-0-486-46624-8)
- (with K. Hrbáček) Introduction to set theory, Marcel Dekker, 3rd edition 1999 (ISBN 978-0824779153)
- Multiple forcing, Cambridge University Press 1986 (ISBN 978-0521266598)
- Set Theory, 3rd millennium ed., 2003, Springer Monographs in Mathematics, Springer, ISBN 3-540-44085-2 is the standard graduate level text.