Selected Publications

Asperó, David; Schindler, Ralf Martin's Maximum++ implies Woodin's axiom (∗). Annals of Mathematics Vol. 193 (3), 2021 online
Beriashvili, Mariam; Schindler, Ralf; Wu, Liuzhen; Yu, Liang Hamel bases and well–ordering the continuum. Proceedings of the American Mathematical Society Vol. 146, 2018 online
Hauser, Kai; Schindler, Ralf-Dieter Projective uniformization revisited. Annals of Pure and Applied Logic Vol. 103 (1-3), 2000, pp 109--153 online
Müller, Sandra; Schindler, Ralf; Woodin, W. Hugh Mice with finitely many Woodin cardinals from optimal determinacy hypotheses. Journal of Mathematical Logic Vol. 20 (Supp. 1), 2020 online
Ronald Jensen; Ernest Schimmerling; Ralf Schindler; John Steel Stacking mice. Journal of Symbolic Logic Vol. 74 (1), 2009, pp 315--335 online
Sargsyan, Grigor; Schindler, Ralf Varsovian models I. Journal of Symbolic Logic Vol. 83 (2), 2018 online
Schindler, Ralf; Steel, John The self-iterability of L[E]. Journal of Symbolic Logic Vol. 74 (3), 2009, pp 751--779 online
Schindler, Ralf-Dieter Proper forcing and remarkable cardinals II. Journal of Symbolic Logic Vol. 66 (3), 2001, pp 1481--1492 online
Schindler, Ralf-Dieter The core model for almost linear iterations. Annals of Pure and Applied Logic Vol. 116 (1-3), 2002, pp 205--272 online
Yong Cheng; Ralf Schindler Harrington’s principle in higher order arithmetic. Journal of Symbolic Logic Vol. 80 (2), 2015 online

Recent Publications

Recent Publications of Prof. Dr. Ralf Schindler

$\bullet $ Azul Fatalini and Ralf Schindler. The transcendence degree of the reals over certain set-theoretical subfields. arXiv e-prints, November 2024. arXiv:2412.00616.

$\bullet $ Ralf Schindler and Taichi Yasuda. Martin's maximum$_c$$^{*,++}$ in $P_\max $ extensions of strong models of determinacy. arXiv e-prints, April 2024. arXiv:2404.12836.

$\bullet $ Stefan Hoffeler, Paul Larson, Ralf Schindler, and Liuzhen Wu. PFA and the definability of the nonstationary ideal. arXiv e-prints, October 2023. arXiv:2310.13784.

$\bullet $ Stefan Hoffelner, Paul Larson, Ralf Schindler, and Liuzhen Wu. Forcing axioms and definability of the nonstationary ideal on ω1. The Journal of Symbolic Logic, pages 1–21, June 2023. doi:10.1017/jsl.2023.40.

$\bullet $ Ilijas Farah, Ralf-Dieter Schindler, Dima Sinapova, and W. Hugh Woodin. Set theory. Oberwolfach Reports, 19(1):79–106, March 2023. doi:10.4171/owr/2022/2.

$\bullet $ David Asperó and Ralf Schindler. Wieviele reelle Zahlen gibt es? Mathematische Semesterberichte, 70(1):1–15, March 2023. doi:10.1007/s00591-022-00331-0.

$\bullet $ Sy David Friedman, Ralf Schindler, and David Schrittesser. Coding over core models. arXiv e-prints, September 2022. arXiv:2209.08696.

$\bullet $ Mariam Beriashvili and Ralf Schindler. Mazurkiewicz sets with no well-ordering of the reals. Georgian Math. J., 29(3):343–345, June 2022. doi:10.1515/gmj-2022-2142.

$\bullet $ Ralf Schindler and Trevor M. Wilson. The consistency strength of the perfect set property for universally Baire sets of reals. J. Symb. Log., 87(2):508–526, June 2022. doi:10.1017/jsl.2019.63.

$\bullet $ Fabiana Castiblanco and Ralf Schindler. When is a real generic over L? Math. Log. Q., 68(1):27–31, February 2022. doi:10.1002/malq.202100012.

$\bullet $ Grigor Sargsyan, Ralf Schindler, and Farmer Schlutzenberg. Varsovian models II. arXiv e-prints, October 2021. arXiv:2110.12051.

$\bullet $ Gabriel Fernandes and Ralf Schindler. Tall cardinals in extender models. Notre Dame J. Form. Log., 62(3):425–454, August 2021. doi:10.1215/00294527-2021-0023.

$\bullet $ David Asperó and Ralf Schindler. Martin's Maximum++ implies Woodin's axiom (∗). Ann. Math., 193(3):793–835, May 2021. doi:10.4007/annals.2021.193.3.3.

$\bullet $ Vladimir Kanovei and Ralf Schindler. Definable Hamel bases and $AC_\omega (\mathbb R)$. Fund. Math., 253(3):239–256, January 2021. doi:10.4064/fm909-6-2020.

$\bullet $ Sandra Müller, Ralf Schindler, and W. Hugh Woodin. Mice with finitely many Woodin cardinals from optimal determinacy hypotheses. Journal of Mathematical Logic, 20(Supp01):1950013, July 2020. doi:10.1142/s0219061319500132.

$\bullet $ Sandra Müller, Ralf Schindler, and W. Hugh Woodin. Mice with finitely many Woodin cardinals from optimal determinacy hypotheses. J. Math. Log., July 2020. doi:10.1142/S0219061319500132.

$\bullet $ Neil Barton, Andrés Eduardo Caicedo, Gunter Fuchs, Joel David Hamkins, Jonas Reitz, and Ralf Schindler. Inner-model reflection principles. Studia Logica, 108(3):573–595, June 2020. doi:10.1007/s11225-019-09860-7.

$\bullet $ Ypng Cheng and Ralf Schindler. Harrington’s principle in higher order arithmetic. The Journal of Symbolic Logic, 80(2):477–489, April 2015. doi:10.1017/jsl.2014.31.