|

|
Ralf Schindler
Professor (C4)
Einsteinstr. 62
48149
Münster, Germany
e-mail: rds
at wwu dot de
(with the "at" replaced by "@,"
and the "dot" replaced by a
dot)
phone:
+49-251-83-33790 or +49-251-83-33761
fax: +49-251-83-33078
Erdös #:
2; Research interest: set theory.
Sprechstunde: n.V. (Zi. 804)
|
Publications
See also here.
Books:
- Logische
Grundlagen der Mathematik, Springer--Verlag 2009.
-
Set
theory. Exploring independence and truth,
332+x pp., Springer--Verlag 2014.
You may order it here or here.
Here is Schindler's list of errata.
- (with
John Steel) The core model induction (version as of April 12, 2013,
with a correct proof of the existence of A-iterable
mice): PDF.
Research papers:
- Prädikative Klassen, Erkenntnis 39 (1993),
pp. 209–241.
- A
Dilemma in the Philosophy of Set Theory, Notre Dame Journal of Formal
Logic 35 (1994), pp. 458–463. PDF
- Weak
Covering at Large Cardinals, Mathematical Logic Quarterly 43
(1997), pp. 22–28.
- On
a Chang Conjecture, Israel Journal of Mathematics 99 (1997), pp.
221–230.
- The
core model up to one strong cardinal, Bonner Mathematische
Schriften Nr. 295 (1997).
- On
a Chang Conjecture II, Archive for Mathematical Logic 37 (1998),
pp. 215–220.
- Successive
weakly compact or singular cardinals, Journal of Symb.
Logic 64 (1999), pp. 139–146.
- Weak
covering and the tree property, Archive for Mathematatical
Logic 38 (1999), pp. 515–520.
- (joint
with M. Foreman and M. Magidor) The consistency
strength of successive cardinals with the tree property, Journal of
Symbolic Logic 66 (2001), pp. 1837–1847.
- (joint
with K. Hauser) Projective uniformization
revisited, Annals of Pure and Appl. Logic 103 (2000), pp.
109–153. PS. PDF
by sciencedirect.
- Strong
cardinals and sets of reals in L_{\omega_1}(R), Mathematical
Logic Quarterly 45 (1999), pp. 361–369. PDF.
- Coding
into K by reasonable forcing, Transactions of the Amer. Math. Soc 353 (2000), pp. 479 - 489. PS.
- (joint
with S. Friedman) Universally Baire sets and definable
well-orderings of the reals, Journal of Symbolic Logic 68 (2003),
pp. 1065 - 1081. PS, PDF.
- (joint
with J. Steel and M. Zeman) Deconstructing inner
model theory, Journal of Symbolic Logic 67 (2002), pp. 721 - 736. PS,
PDF.
- Proper
forcing and remarkable cardinals, Bulletin of Symbolic Logic 6
(2000), pp. 176 - 184. PS, PDF.
- Proper
forcing and remarkable cardinals II, Journal of Symbolic Logic 66
(2001), pp. 1481- 1492. PS, PDF.
- The
core model for almost linear iterations, Annals of Pure and Appl. Logic 116 (2002), pp. 207 -
274. PS, PDF, PDF
by sciencedirect.
- Iterates
of the core model, Journal of Symbolic Logic 71 (2006), pp.241-251.
PS, PDF.
- Mutual
stationarity in the core model, Proceedings
of LC2001, in: "Logic colloquium 01" (Baaz
et al., eds., Lecture Notes in Logic 20, 2005), pp.386-401. PS,
PDF.
- (joint
with Th. Räsch) A new condensation
principle, Archive for Math. Logic 44 (2005), pp.159-166. PS, PDF.
- Forcing
axioms and projective sets of reals, Proceedings of FotFS
III, in: "Classical and new paradigms of computation and their
complexity hierarchies" (Löwe et al.,
eds., Kluwer 2004), pp.207-222. PS, PDF.
- P ≠ NP for infinite
time Turing machines, Monatshefte für
Mathematik 139 (4) (2003), pp.335-340. PS, PDF. PDF
by Springer.
- (joint
with B. Mitchell) A universal extender model without large cardinals in V,
J. Symb. Logic 69 (2004), pp. 371-386.
PS.
- (joint with M. Gitik and S. Shelah), Pcf theory and
Woodin cardinals, Proceedings of LC2002 (Chatzidakis
et al., eds.), Lecture Notes in Logic 27, pp. 172-205. PS, PDF.
- (joint
with P. Koepke) Homogeneously Souslin sets in small inner models, Archive for
Math. Logic 45 (2006), pp.53-61. PS, PDF.
- (joint
with J. Hamkins and V. Deolalikar) P ≠ NP ∩ coNP for infinite
time Turing machines, Journal of Logic and Computation 15 (2005),
pp. 577-592. PS.
- (joint
with M. Zeman) Fine structure theory, a chapter
for the Handbook of Set Theory (Foreman, Kanamori,
Magidor, eds.), Springer-Verlag
2009. PS, PDF,
- Semi-proper
forcing, remarkable cardinals, and Bounded Martin's Maximum, Mathematical
Logic Quarterly 50 (6) (2004), pp. 527 - 532. PS,
PDF.
- Bounded
Martin's Maximum and strong cardinals, in: Set theory. Centre de recerca Matematica,
Barcelona 2003-4 (Bagaria, Todorcevic,
eds.), Basel 2006, pp. 401-406. PS,
PDF.
- (with
A. Caicedo) Projective well-orderings of the
reals, Archive for Mathematical Logic 45 (2006), pp. 783-794. PS
- Core
models in the presence of Woodin cardinals, J. Symb.
Logic 71 (2006), pp. 1145-1154. PS, PDF.
- (with
J. Steel) The self-iterability of L[E], Journal of Symb. Logic 74 (2009), pp. 751-779.
PS, PDF.
- (with
G. Fuchs and I. Neeman) A criterion for coarse iterability, Archive Math. Logic 49 (2010), pp. 447-468.
PDF.
- (with
R. Jensen, E. Schimmerling, and J. Steel)
Stacking mice, Journal of Symb. Logic 74 (2009), pp.315-335. PS, PDF.
- (with
B. Claverie) Increasing u2 by a
stationary set preserving forcing, Journal of Symb.
Logic 74 (2009), pp.187-200. PS, PDF.
- (with
D. Busche) The strength of choiceless
patterns of singular and weakly compact cardinals, Ann. Pure Appl.
Logic, 159 (2009), pp. 198-248. PDF.
- (with
P. Schlicht) Thin equivalence relations in
scaled pointclasses, Mathematical Logic
Quarterly 57, 6 (2011), pp. 615 -- 620. PDF
- (with
P. Doebler) Π2
consequences of BMM plus NS is precipitous and the semiproperness
of all stationary set preserving forcings, Math.
Res. Letters 16 (2009), no. 5, pp. 797 -- 815. PDF.
- (with
B. Claverie) Woodin's
axiom (*), bounded forcing axioms, and precipitous ideals on \omega_1, Jornal of Symbolic Logic 77 (2014), pp. 475
-- 498. PDF
- (with
G. Fuchs) Inner model theoretic geology, Journal Symb. Logic, accepted. PDF
- (with
P. Doebler) The extender algebra and vagaries of
Σ21
absoluteness, Münster Journal of Mathematics 6 (2013), pp. 117 - 166. PDF
- (with
A. Caicedo, G. Sargsyan,
P. Larson, J. Steel, and M. Zeman) Square
principles in Pmax extensions, Israel
J. of Mathematics. PDF
- (with
D. Aspero) Bounded Martin's Maximum with an
asterisk, Notre Dame J. Formal Logic 55 (2014), pp. 333--348. PDF
- (with
C. Yong) Harrington's principle in higher order arithmetic, Journal of Symbolic Logic 80, Issue 2 (June 2015). PDF
- (with
T. Hofweber) Hyperreal-valued probability measures approximating a real-valued measure,
to appear in the Notre Dame J. of Formal Logic. PDF
- Remarkable cardinals, in: Infinity, Computability, and Metamathematics (Geschke et al., eds.), Festschrift celebrating
the 60th birthdays of Peter Koepke and Philip Welch, pp. 299-308.
PDF
- (with S. Uhlenbrock and W.H. Woodin) Mice with finitely many Woodin cardinals
from optimal determinacy hypotheses, Journal of Mathematical Logic, submitted.
PDF
- (with
S. Friedman and D. Schrittesser) Coding over core models, in: Infinity, Computability, and Metamathematics (Geschke et al., eds.), Festschrift celebrating
the 60th birthdays of Peter Koepke and Philip Welch, pp. 167-182. PDF
- Woodin's axiom (*), or Martin's Maximum, or both?,
accepted to appear in the Woodin volume (Caicedo et al., eds.). PDF
- (with W.H. Woodin) The influence of cf(Γ∞),
in preparation.
- (with 's. Rinot) Square with built-in diamond-plus, J. Symb. Logic, to appear. PDF
- (with J. Bagaria and V. Gitman) Remarkable cardinals, structural
reflection, and the weak Proper Forcing Axiom, accepted to appear in the Archive for Math. Logic. PDF
- (with Ph. Lücke and Ph. Schlicht) Lightface definable subsets of Hω2,
Journal Symb. Logic, accepted. PDF
- (with G. Fuchs) The solidity and non--solidity of initial segments of the core model. PDF
- (with G. Sargsyan) Varsovian models I, submitted. PDF
- (with G. Sargsyan) Varsovian models II,
in preparation.
- (with B. Claverie) Ideal extenders,
in preparation.
- The long extender algebra, accepted to appear in
the Archive for Math. Logic. PDF
- (with
M. Beriashvili, L. Wu, and L. Yu) Hamel bases and well-ordering the continuum, Proc. Amer. Math. Soc., submitted. PDF.
- (with
T. Wilson) Universally Baire sets of reals and the perfect set property, in preparation.
- (with
L. Wu and L. Yu) Hamel bases and the principle of dependent choice, preliminary version.
- (with V. Gitman) Virtual large cardinals, pdf, submitted.
Survey/historical papers:
- Wozu brauchen wir grosse
Kardinalzahlen? Mathematische Semesterberichte 53 (2006), pp. 65 -
80. PS
- Kurt
Gödel (1906-1878), DMV-Nachrichten
14 (2006), pp. 42 - 45; English translation: Newsletter of the European
Math. Society 62 (2006), pp. 29 - 31; Chinese translation: Mathematical
Advance in Translation, vol. no. 4 (2010), pp. 338--342.
Manuscript written by Ronald Jensen on fine structure, inner model theory, and the core model below one Woodin cardinal
(typed by Martina Pfeifer) Preface, Chap. 1, Chap. 2.
Notes
and preprints
-
Handwritten script on the L hierarchy and the Jensen covering lemma (in German):
Kap. 1, Kap. 2, Kap. 3, Kap. 4, Kap. 5, Kap. 6.
- The
Delfino problem # 12, handwritten, 50 pages.
(Talk at Bonn.) PDF.
Link to Philipp Doebler's writeup of Steel's solution to the 12th Delfino Problem:
PDF.
-
Link to Benjamin Claverie's writeup of the Dodd--Jensen Covering Lemma below 0-dagger:
PDF.
- (joint
with J. Steel) The strength of AD (contains an outline of Woodin's core model induction, new version as of
07/04/06), preprint. PS, PDF.
- A
note on an alleged proof of the relative consistency of P=NP with PA,
preprint. PS, PDF. Cf. also here
and there.
- A
simple proof of \Sigma^1_3 correctness of K, preprint. DVI, PDF.
- Sharps
and the \Sigma^1_3 correctness of K, preprint.DVI, PDF.
- From
Wadge comparability to determinacy, preprint. PDF.
- ACA_0,
Pi^1_1-CA_0, and the semantics of arithmetic, and BG, BG + Sigma^1_1-Ind,
and the semantics of set theory, 10/17/02, note. PS, PDF.
- (with P. Schlicht) ZFC without parameters, PDF.
- Projective
sets and large cardinals, handwritten, 28 pages. (Talk at Kiel.) PDF.
- On
NS being saturated, PDF.
-
Link to Sandra Uhlenbrock's writeup of an account of Woodin's HOD conjecture (in German):
PDF.
- (with G. Fuchs, E. Schimmerling, F. Schlutzenberg, S. Uhlenbrock, T. Wilson)
A weak (?)
consequence of determinacy, PDF.
- (with Mariam Beriashvili)
Bernstein sets don't give Vitali sets ,
Luzin and Sierpiński sets in N, and
Realizing [...] as a symmetric model. PDF:
Some pathological sets in a special model of set theory.
- (with Mariam Beriashvili)
Bernstein set with a large continuum but no axiom of choice.
-
A ZFC-example of a forcing which is semi-proper but not proper. The citation [Cox] refers to a posting by Sean Cox.
- (with Fabiana Castiblanco)
When is a given real generic over L?
- (with Grigor Sargsyan)
Varsovian models, II (1st part), Varsovian models, II (2nd part), Varsovian models, II (appendix),
Varsovian models, II (appendix 2)
.
Open problem lists
- LIST OF OPEN PROBLEMS IN INNER
MODEL THEORY, edited jointly with John Steel, which comes with a Bibliography of inner model
theory. Warning: COMPLETELY OUTDATED!!
-
Links to a list of problems that was produced at the AIM meeting "Recent advances in core model theory," organized by E. Schimmerling and J. Steel in Dec 13-17, 2004:
PDF, PDF.
-
List of problems that was produced by Per Stinchcombe at the AIM meeting "Descriptive inner model theory," organized by R. Schindler and J. Steel in June 02-06, 2014:
PDF.
Skripten
zu Vorlesungen und Seminaren
- Skript zur Vorlesung "Logik 1", Version vom 14.07.2017: PDF-Datei.
(Tipp-)Fehler bitte an rds at math dot uni-muenster dot de.
- Die auf dem
Hochschultag am 13.11.2014 verteilten Logikrätsel als PDF-Datei.
Editorial
and other activities
- Former co-editor
of the Journal of Symbolic Logic.
- Managing
editor of the Archive for Mathematical Logic.
- Co-editor
of the Ontos Verlag
series in Mathematical Logic.
Information
for potential authors may be downloaded
here.
- Co-editor
of the Mathematische Semesterberichte.
- Former
editor of the Münster Journal of Mathematics.
- Former
treasurer of the IUHPS/DLMPS (International Union of the
History and Philosophy of Science/Division of Logic, Methodology, and
Philosophy of Science)
- One
of the former chairmen of the DVMLG, the German Logic Society.
- Vertrauensdozent der Studienstiftung des deutschen
Volkes. Fotos
von einem Treffen mit meiner Stipendiatengruppe,
2006. 2007.
2008.
Stockholm,
2009. Eiskeller Altenberge,
2017.
- Co-organizer
(with R. Jensen and M. Magidor) of a
mini-workshop in inner model theory, Apr 30 - May 06, 2006, Oberwolfach.
- Co-organizer
of the Logic Colloquium, July 27 - Aug 2, 2006, Nijmegen.
- Co-organizer
(with E.Schimmerling) of a mini-symposium in set
theory during the DMV meeting, Bonn, Sept 18-22, 06.
- Organizer
of the PohlersFest, July 17-19, 2008, Münster. Pictures!
- Co-organizer
of the 2nd European Set Theory Conference (Bedlewo,
Poland), July 6-10, 2009.
- Co-organizer
(with R. Jensen and M. Magidor) of a
mini-workshop in inner model theory, Nov 08 - 14, 2009, Oberwolfach.
- Co-organizer
(with J. Steel) of the 1st conference on the core
model induction and hod mice in Münster, July 19 -- Aug 06, 2010.
- Co-organizer
of the Colloquium Logicum,
Münster, Sept 22-24, 2010.
- Co-organizer
(with J. Steel) of the 2nd conference on the core
model induction and hod mice in Münster, Aug 08 -- Aug 19, 2011.
- Seminar
im Rahmen der Sommerakademie der Studienstiftung in Neubeuern
2013
- Co-organizer, with J. Steel,
of the Descriptive inner model theory meeting at the American Institute of Mathematics,
Palo Alto, June 02-06, 2014.
- Co-organizer, with J. Steel,
of the Mitchell fest,
Berkeley, June 07-08, 2014.
- Co-organizer, with J. Steel,
of the Descriptive inner model theory meeting,
Berkeley, June 09-13, 2014.
- Co-organizer
of the 5th European Set Theory Conference (Cambridge,
England), Aug 24-28, 2015.
- Co-organizer
(with J. Steel) of the 3rd Münster conference on inner model theory, the core
model induction, and hod mice, July 20 -- 31, 2015.
- Co-organizer
of the Logic Colloquium 2016, Leeds.
- Co-organizer (with M. Magidor and J. Väänänen)
of an Intensive Research Program on "Large
Cardinals and Strong Logics",
CRM, Bellaterra (Catalunya), Sept 05--Dec 16, 2016.
- Co-organizer (with I. Farah, S. Friedman, and W.H. Woodin)
of a set theory meeting, Oberwolfach, Feb 12--18, 2017.
- Co-organizer
(with J. Steel) of the 4th Münster conference on inner model theory, July 17 -- Aug 01, 2017.
- Co-organizer (with M. Magidor, J. Steel, and W.H. Woodin)
of a set theory conference, WWU
Münster, Aug 02--Aug 04, 2017.
Undergrad
students
- Diploma
theses: Benjamin Claverie
(2005), Philipp Doebler (2006), Thilo Weinert
(2008), Philipp Lücke (2008), Dominik Adolf (2008), Marek Wyszkowski (2009), Carsten Szardenings
(2010), Jakob Rittberg (2010), Max Giersberg (2010), Tobias Förster (2012), Max Temme (--), Barzin Hadjimoradi (2015).
- Bachelor's
theses: Sandra Uhlenbrock
(2010), Jan Wulf (2010), Merle Erpenbeck (2011),
Sabine Schneider (2011), Christof Beierle (2012), Eike Bunn
(2012), Momme Steffen (2012), Marvin Landwehr
(2012), Jonas Fox (2013), Stefan Miedzianowski
(2013), Maximilian Gievert (2013), Patrick Aguilar
(--), Benjamin Reuting (2014), Kolja Hartmann (2015), Lennart Holtkötter (--), Martin Stückemann (2016),
Franziska Popp (2016), Robin Puchalla (2016), Robin Graeber (2016), Claudia Giesen (2016), Simon Dröge (2016), Sebastian Greve (2016).
- Master's
theses: Sandra Uhlenbrock
(2012), Eike Bunn
(2016), Momme Steffen (2014), Marvin Landwehr
(2016), Stefan Miedzianowski
(2016), Jonas Fox
(--).
Ph.D. students
- Dr. Dominik Adolf (finished in 2013)
- Dr. Daniel
Busche (DFG project no.
SCHI 484/2-2, "Anwendungen der Theorie der Kernmodelle in der
Kardinalzahlarithmetik (bzw. pcf-Theorie)",
finished in 2007)
- Dr. Benjamin Claverie (DFG project no. SCHI
484/3-1, "Anwendungen der Theorie der inneren Modelle auf Fragen der
Absolutheit und Korrektheit", finished in
2010)
- Jury Fabiana Castiblanco Quiroga
- Dr. Philipp Doebler
(DFG project no. SCHI 484/3-1,
"Anwendungen der Theorie der inneren Modelle auf Fragen der
Absolutheit und Korrektheit", finished in
2010)
- Dr. Daisuke Ikegami (University of Amsterdam,
finished in 2010)
- Dr. Marios Koulakis (MALOA project), finished in 2015
- Dr. Philipp Lücke (DFG project no. SCHI 484/4-1, "The interplay between algebra
and logic", SFB 878, finished in 2012)
- Stefan Miedzianowski (DFG-Projekt SCHI 484/8-1, "Die Geologie Innerer Modelle")
- Dr. Philipp Schlicht ("Thin equivalence relations in L(R) and inner models",
finished in 2008)
- Ghafran
Tabbakh
- Dr. Sandra Uhlenbrock, finished in 2016
- Gabriel
Zanetti Nunes Fernandes
PostDocs
- Dr. Sean Cox, went to VCU in 2012.
- Dr. Gunter Fuchs, went to CUNY in 2009.
- Dr. David Schrittesser.
- Dr. Cheng Yong, went to Wuhan University (China) in 2015.
- Dr.
Zhu Yizheng.
Invited talks
- Oxford,
05/26/94, Bicephali below o(k)=k++.
- Berlin,
Dec. 95, Combinatorial applications of
the core model.
- Fine
structure meeting at Oberwolfach, July 97, Iterability below a measurable limit of strongs.
- Non-meeting
at Irvine, Dec 97, Regularity properties of sets of reals.
- VIG
at UCLA, Jan. 98, Strong cardinals and sets of reals in L_{omega_1}(R).
- L.A.
Logic Colloquium, Oct. 98, Nice sets of reals and choice-like
principles.
- Berkeley
Logic Colloquium, Dec. 98, Coding into mice and other subtleties.
- ASL
Annual Meeting at San Diego, March 99, Coding into L(R), cancelled.
- Lecture
series at Bonn, April 99, The Delfino problem
# 12.
- Greater
Boston Logic Meeting at MIT, May 99, Projective sets and singletons.
- Berlin
Logic Colloquium, Dec. 99, Generic absoluteness.
- Set
theory meeting at Oberwolfach, Dec. 99, The core model for almost linear iterations.
Picture.
- ASL
Annual Meeting at Urbana-Champaign, June 2000, Inner models and
0^hand-grenade.
- 6eme
Atelier Int'l de Theorie des Ensembles at Luminy, 09/20/00, Proper
forcing and remarkable cardinals.
- Berlin Logic Colloquium
01/15/01, Das Kernmodell für fast lineare Iterationen.
- München 01/17/01, Projektive Mengen und
Kernmodelle.
- Non-meeting
at Bonn, 01/19/01, Core models.
- Münster 02/09/01, Projektive Mengen reeller
Zahlen und Kernmodelle. DVI.
- Fine
structure meeting at Oberwolfach, Hand
grenades I + II, 02/26 + 02/28/01
- Fine
structure meeting at Oberwolfach, A universal
weasel, 03/01/01.
- ASL
European Summer meeting, Vienna, 08/10/01, Mutual stationarity
in L[E].
- Set
theory workshop, Vienna, 08/13/01: Iterates of the core model.
- Foundations
of the formal sciences III, Vienna, 09/23/01, Projective sets of reals
and core models. DVI.
- Set
theory meeting, Oberwolfach, 01/21/02: Mutual
stationarity in L[E].
- Paris
06/17/02: Cardinal arithmetic and determinacy.
- Bonn 06/20/02: Einfache Korrektheitsbeweise. DVI.
- München 06/24/02: Kardinalzahlarithmetik und
Determiniertheit.
- ASL
European Summer meeting, Münster, 08/05/02: Transfer theorems.
Slides: PS, PDF.
- 7th
Atelier Int'l de Theorie des Ensembles at Luminy, 09/19/02, Pcf
theory and Woodin cardinals.
- Kiel, Dec 11, 02, Projektive
Mengen und grosse Kardinalzahlen, seminar talk.
- Kiel, Dec 13, 02, Projektive
Mengen reeller Zahlen, Colloquium talk.
- Fine
structure meeting, Bonn, July 07-11, 03, Forcing axioms and the
constructible universe.
- Barcelona
conference on set theory, Sept 16-20, 03, 4-hour course. The role
of absoluteness and correctness. Slides
in dvi.
- Bonn, Nov 20, 03, Verallgemeinerungen von Martins
Axiom.
- Barcelona,
Feb 17, 04, Semi-proper forcing and remarkable cardinals.
- Antrittsvorlesung, Jun 16, 04, Wozu bauchen wir grosse
Kardinalzahlen? ps-file.
- DVMLG
meeting, Heidelberg, Sept 17, 04, Cardinal arithmetic and determinacy
ps-file.
- Eighth
Luminy Set Theory Workshop September 20 - 24th,
2004, BMM - one answer and one problem.
- DMV
meeting, Mainz, June 05, Projective equivalence relations and inner
model theory.
- TU Darmstadt, July 06, 05, Wozu
brauchen wir grosse Kardinalzahlen?
- Freiburg, Dec 02, 05, Äquivalenzrelationen
und grosse Kardinalzahlen. ps-file. pdf-file.
- Fine
structure workshop, Oberwolfach, May 06, The
self-iterability of L[E].
- British
Logic Colloquium, Oxford, Sept 06, Pcf
theory and determinacy.
- Colloquium
Logicum, Bonn, Sept 06, If
every uncountable cardinal is singular, then AD holds in L(R).
- Ninth
Luminy Set Theory Workshop, Oct 3, 06, Diamond^+_kappa,lambda in L[E]
- Bonn
Nov 30, 06, The strength of PFA.
- Hausdorff Center for Math, Bonn, Jan 23,
07, The P vs. NP problem for infinite time Turing machines
- Logic
Colloquium, UC Berkeley, Sept 21, 07, Forcing axioms and large
cardinals
- UC
Irvine, Nov 05, 07, BMM, canonical functions, and precipitous ideals
- UC
Irvine, Nov 26, 07, Proving projective determinacy, ps-file, pdf-file.
- Tenth
Luminy workshop in Set Theory, Sept 08, Π_2 consequences of BMM plus NS is precipitous.
- Paris
7, Oct 08, Π_2 consequences of BMM plus NS is precipitous.
- Bonn
June 12, 09, Mining strength from hypotheses incompatible with choice
- Workshop
on large cardinals, Wien, June 09, Bounded forcing axioms and
reflection
- ASL
European Summer meeting, Sophia (Bulgaria), July 31 to August 5, 2009,
three-hour tutorial course on "the evolution of inner models": part 1, part 2, part 3.
- Mittag-Leffler Institute, Djursholm,
Sweden, Woodin's axiom (*), bounded
forcing axioms, and related issues, part 1 and 2, Oct 01 and 29, 2009.
- Young set theorist's workshop, Raach am Hochgebirge,
tutorial course on inner model theory, Feb 15--19, 2010.
- Graduate
center, New York City, March 26, 2010, Π_2 consequences of BMM plus NS
is precipitous
- Fields
Institute, Toronto, April 09, 2010, Π_2 consequences of BMM plus NS
is precipitous.
- Math colloquium,
München, April 23, 2010, Sind große Kardinalzahlen
entbehrlich?,
PDF.
- Barcelona,
April 29, 2010, Forcing axioms and determinacy
- Amsterdam,
June 01, 2010, Mice and set theoretic geology
- München, Nov 03, 2010, Forcing-Axiome
und die Feinanalyse von Hω2, pdf.
- Harvard,
"The Higher Infinite: 50 Years of
Large Cardinals and Inner Models",
Feb 18--20, 2011, Generic Iterations and Forcing Axioms
- Bonn, April 18, 2011, Resectionable
truth
- UC
Irvine, May 04, 2011, Resectionable
and other Σ1 truths
- LPS,
UC Irvine, May 06, 2011, Dilemmas and truths in set theory, PDF.
- Edinburgh, July 2011, BMM*
- Palermo,
April 03 and 04, 2012, Recent insights concerning the continuum problem
and A dilemma in the philosophy of set theory, PDF1
and PDF2
- Barcelona,
June 2012, A proof of Jensen's Covering
Lemma, lecture series.
- Luminy, Sept 2012, Tutorial on
Jensen's L-forcing, 1st lecture, 2nd lecture, 3rd lecture.
- Oxford,
Oct 08 , 2012, Dilemmas and truths in set theory.
- Fields
Institute, Toronto, Nov 12, 2012, An
Axiom.
- Barcelona,
Dec 15, 2012, Martin's Maximum with an asterisk.
- UC
Irvine, Feb 25, 2013, Stationary reflection, mouse reflection, and
strategy reflection.
- Tecklenburg, May 02, 2013, Wozu brauchen wir
große Kardinalzahlen?
- Wien,
Sept 25, 2013, Does analytic determinacy yield
zero-sharp?
- Bonn,
Oct 21, 2013, Does analytic determinacy yield zero-sharp?
- UC Irvine,
Feb 24, 2014, Harrington's Principle and remarkable cardinals.
- Harvard University,
March 26, 2014, Martin's Maximum with an asterisk.
- Bonn,
May 24, 2014, Martin's Maximum with an asterisk.
- Bristol,
July 06, 2014, TBA, cancelled.
- Poznan,
Sept, 2014, cancelled.
- Hebrew University, Jerusalem,
Feb 27, 2015, Martin's Maximum, Woodin's (*), or both?
- CUNY,
March 30, 2015, Harrington's Principle and remarkable cardinals.
- MAMLS meeting, CMU,
May 30-31, 2015, Singular cardinals, pcf theory, and determinacy.
- Logic Colloquium 2015, Helsinki,
August 03-08, 2015, Martin's Maximum, Woodin's (*), or both?.
- Conference
on set theory and model theory, Tehran, Iran,
Oct 12-16, 2015, Remarkable cardinals. Some notes: Part 1, Part 2.
- Bonn,
Dec 04, 2015, PFA-.
- Tel Aviv University,
Feb 16, 2016, PFA-.
- Hebrew University, Jerusalem,
Feb 19, 2016, Varsovian models. This talk can be watched on youtube.
- Rutgers University,
March, 2016, L-forcing and local consequences of MM and (*) (lecture series)
- CUNY,
March 18, 2016, PFA-.
- Münster model theory month,
May 02, 2016, The continuum hypothesis, MM, and (*).
- 1st IRVINE CONFERENCE on DESCRIPTIVE INNER MODEL THEORY and HOD MICE,
July, 2016, Varsovian models.
- Universitat de Barcelona,
Oct 14, 2016, More fake cardinals.
- Workshop, Tbilisi (Georgia), Oct, 2016, Bernstein sets don't give Vitali sets.
- Workshop on the Applications of strong logics in other areas of mathematics,
CRM, Bellaterra (Catalunya), Nov, 2016, Martin's Maximum with an asterisk.
- Bonn
Jan 09, 2017, A Hamel basis for the reals without choice.
- Beijing
March 10, 2017, Martin's Maximum, Woodin's (*), or both?, Colloquium talk.
- Beijing
March 14, 2017, Varsovian models.
Contributed talks
- ASL
European Summer Meeting at Haifa, Aug. 95, On a Chang conjecture.
- BEST
at Boise, March 97, On (the consistency
strenth of) certain consequences of AD.
- ASL
European Summer Meeting at Leeds, July 97, On
patterns of cardinals with the tree property.
- Berlin, 06/25/01, Habilitationskolloquium, P = NP?
ps-file , pdf-file
- Münster,
July 27--30, 2010, Tutorial on the core model induction.
- Zentrum für Wissenschaftstheorie, Münster,
22.06.11, Braucht die Mathematik neue Axiome? PDF
- Münster,
Aug 2011, BPFA plus a precipitous ideal on ω1
Reviews
See
also here
- Besprechung von Sets and Proofs (Cooper, Truss, eds.) für die Int'l
Math. News 185.
- Review
of Cardinal Arithmetic by M. Holz, K. Steffens,
and E. Weitz for Studia
Logica.
- Besprechung von Fine structure
and class forcing von S.D. Friedman für die Int'l Math. News 188.
- Besprechung von On numbers and games von J. Conway
für die Int'l Math. News 189.
- Besprechung von From
Trotzy to Gödel. The life of Jean van Heijenoort
von A.B. Feferman für die Int'l Math. News 189. PDF.
- Review
of Consequences of an exotic definition for P=NP by N.C.A.da Costa and F.A.Doria.
PS.
- Review of Die Logik der
Unbestimmtheiten und Paradoxien by Ulrich
Blau for the BSL. PDF.
- Review of Combinatorial
Set Theory by L.J.
Halbeisen for the
Jahresberichte der Deutschen Math.-Vereinigung. PDF.
- Review of Forcing
over models of determinacy by Paul
Larson.
PDF.
CV
- 1965 Born in Erlangen (FRG).
- 1983 Winner of the German Federal Competition
in Mathematics (Bundeswettbewerb Mathematik).
- 1986-92
Undergraduate studies in philosophy, logic, and the theory of science at
Munich (FRG) with a scholarship from the Studienstiftung
des Deutschen Volkes.
- Feb
20, 92 M.A. (Magister artium) in logic and the
theory of science (M.A. thesis advisor: Ulrich Blau).
- 1992-96
Ph.D. student with Peter Koepke at Bonn (FRG)
with a scholarship from the Graduiertenkolleg Mathematik.
- April 26, 96 Received Ph.D.
- 1996-97 Assistent professor
at Bonn (FRG).
- March
01, 97 thru Feb 27, 99 Research fellow at UC Berkeley (USA) with a
scholarship from the Deutsche Forschungsgemeinschaft
(DFG).
- April
01, 99 thru Sept 30, 01: Universitätsassistent
at Vienna (Austria).
- July
16, 01, Habilitation at HU Berlin (FRG).
- Oct
01, 01 thru Oct 31, 03: Ao. Univ.Prof.
at Vienna (Austria).
- Nov 01, 03: Professor (C4) at Münster (FRG).
- Aug
08, 2007 thru March 31, 2008, Jan 31 thru March 28, 2013, and Jan 31 thru April 01, 2014: Guest
professor at UC Berkeley (USA).
- June
thru Sept, 2012: Guest professor at the University of Barcelona (Catalunya).
- Married, 3 children.

BACK TO THE TOP.