Ernest Schimmerling

Associate Professor
Ph.D., University of California, Los Angeles

Office: Wean Hall 6121
Phone: (412) 268-5913
E-mail: eschimme@andrew.cmu.edu
Personal web site

Research

My research interests are in mathematical logic and set theory, with emphases on large cardinals, core models, infinitary combinatorics and descriptive set theory.

Selected Publications

E. Schimmerling, "The ABC's of mice", to appear in Bull. Symbolic Logic.

J. Cummings and E. Schimmerling, "Indexed squares", to appear in Israel J. Math.

E. Schimmerling, "Woodin cardinals, Shelah cardinals, and the Mitchell-Steel core model", to appear in Proc. Amer. Math. Soc.

E. Schimmerling and M. Zeman, "Square in core models", to appear in Bull. Symbolic Logic.

E. Schimmerling and W.H. Woodin, "The Jensen covering property", to appear in J. Symbolic Logic.

E. Schimmerling, "A finite family weak square principle", J. Symbolic Logic 64 (1999) 1087–1110.

E. Schimmerling, "Covering properties of core models", Sets and Proofs (Leeds, 1997), 281–299, London Math. Soc. Lecture Note Ser. 258, Cambridge Univ. Press, Cambridge, 1999.

E. Schimmerling and J.R. Steel, "The maximality of the core model", Trans. Amer. Math. Soc. 351 (1999) 3119–3141.

E. Schimmerling, "Combinatorial set theory and inner models", Set theory (Curacao 1995 and Barcelona 1996), 207–212, Kluwer Acad. Publ., Dordrecht, 1998.

W.J. Mitchell, E. Schimmerling and J.R. Steel, "The covering lemma up to a Woodin cardinal", Ann. Pure Appl. Logic 84 (1997) 219–255.

E. Schimmerling and J.R. Steel, "Fine structure for tame inner models", J. Symbolic Logic 61 (1996) 621–639.

W.J. Mitchell and E. Schimmerling, "Weak covering without countable closure", Math. Res. Lett. 2 (1995) 595–609.

E. Schimmerling, "Combinatorial principles in the core model for one Woodin cardinal", Ann. Pure Appl. Logic 74 (1995) 153–201.