Vera Fischer, Privatdoz., PhD.
Email: vera.fischer at univie.ac.at
Phone:
+43 1 4277 50520
My main research interest are in infinitary combinatorics, forcing, definability, as well as the study of the generalized Baire spaces. Prior to my current position at the Goedel Research Center and University of Vienna , I was a FWF-Lise-Meitner Project Leader (M1365-N13) . In June 2017 I was awarded the FWF START Prize which is the highest Austrian award for young researchers (FWF Project Y1012-N35 ). Since January 2018, I am a board member of the European Set Theory Society. In July 2018, I won the Förderungspreis der Österreichischen Mathematischen Gesellschaft. . It will be awarded at the "Day of Mathematics" on November 9th at the Faculty of Mathematics of University of Vienna.
Model Theory (S2018)
Proseminar Axiomatic Set Theory I (S2018)
Introduction to theoretical computer science (W2017)
Reading course in set theory (W2017)
UE Grundbegriffe\Grundzuege der mathematischen Logik (S2016) (S2017)
Axiomatic Set Theory 1 (SoSe2016) (S2017)
Towers and Pseudointersections Jonathan Schilhan, master thesis (2017\2018)
On some generalized cardinal characteristics Ö. Bag, master thesis (current)
The Axiom of Foundation Christoph Hammer (W2017\2018; bachelor thesis)
Ultraprodukte und Nicht-Standard Modelle Lukas Eckerstorfer (S2016\2017; bachelor thesis)
Vaught's Never Two Michael Zechner (W2016\2017; bachelor thesis)
Axiom of Choice, Arved Bartuska (S2015\2016; bachelor thesis)
Forcing and applications on boudning, splitting and almost disjointness, Jonathan Schilhan (S2015\16; bachelor thesis)
Bounding, splitting and almost disjointness, Jonathan Schilhan (W2015\16; bachelor thesis)
Definable maximal cofinitary group of intermediate sizes with S.D. Friedman, D. Schrittesser, A. Toernquist, in preparation.
The Spectrum of Independence, Part II with S. Shelah, in preparation.
A note on generalised splitting, bounding and domination with Ö. Bag, in preparation.
The generalized independence number with Diana Carolina Montoya, in preparation.
Definable maximal independent families with J. Brendle, Y. Khomskii, submitted.
A co-analytic Sacks indestructible maximal independent family preprint.
Sacks indestructible eventually different families , with David Schrittesser, submitted.
Free sequences in $\mathcal{P}(\omega)/fin$ , with D. Chodounsky, J. Grebik, submitted.
The spectrum of independence with S. Shelah, submitted.
More ZFC inequalities between cardinal invariants with Daniel Soukup, submitted.
Ideals of Independence with D.Montoya, submitted.
Definable Towers and Coherent Systems with J. Schilhan, submitted.
From creature forcing to boolean ultrapowers I.M.N. 236, 1-11, 2017.
Coherent systems of finite support iterations with S.D.Friedman, D. A. Mejia, D.Montoya, accepted at the Journal of Symbolic Logic.
A co-analytic Cohen indestructible maximal cofinitary group with D. Schrittesser and A. Toernquist, Journal of Symbolic Logic 82 (2), 629-247, 2017.
Generalized characteristics in a small $\mathfrak{u}(\kappa)$ model with A. Brooke-Taylor, S. D. Friedman, D. Montoya, accepted at APAL; (http://dx.doi.org/10.1016/j.apal.2016.08.004)
Splitting, bounding and almost disjointness can be quite different. with D. Mejia, accepted at the Canadian Journal of Mathematics; (http://dx.doi.org/10.4153/CJM-2016-021-8)
Definable maximal cofinitary groups. with S.D. Friedman and A. Toernquist, submitted.
Maximal cofinitary groups revisited, Math. Log. Quart. 61 (2015), 367 - 379.
Measure, category and projective wellorders, with S.D. Friedman and Y. Khomskii, Journal of Logic and Analysis 6:8 (2014), 1-25.
Template iterations and maximal cofinitary groups with A. Toernquist, Fundamenta Mathematicae 230 (3):205-236, 2015.
Cichon's diagram, regularity properties and $\Delta^1_3$ sets of reals, with S. D. Friedman and Y. Khomskii, Archive for Mathematical Logic, 53:5-6, 2014, pp 695-729.
Co-analytic mad families and definable wellorders with S.D. Friedman and Y. Khomskii, Archive for Mathematical Logic 52: 7-8 (2013) 809-822.
Cardinal characteristics, projective wellorders and large continuum with S. D. Friedman and L. Zdomskyy, Annals of Pure and Applied Logic 164 (2013) 763-770.
Projective maximal families of orthogonal measures with large continuum with S. D. Friedman and A. Toernquist, Journal of Logic and Analysis 4 (2012), 1-15.
Projective wellordrs and mad families with large continuum with S. D. Friedman and L. Zdomskyy, Annals of Pure and Applied Logic 162 (2011), pp. 853-862.
Non-dominating ultrafilters with B. Irrgang, Acta Universitatis Carolinae - Mathematica et Physica, vol. 51, 13-17, 2010
Mad families, splitting families and large continuum with J. Brendle, Journal of Symbolic Logic, 76, 1, 198-208, March 2011.
A co-analytic maximal set of orthogonal measures with A. Toernquist, Journal of Symbolic Logic, 75, 4, pp. 1403 - 1414.
Cardinal characteristics and projective well-orders with S. D. Friedman, Annals of Pure and Applied Logic 161 (2010), 916-922.
Further combinatorial properties of Cohen forcing with J. Steprans, RIMS Conference proceedings in "Combinatorial and Descriptive Set Theory", Kyoto, 2008.
The consistency of arbitrarily large spread between the bounding and the splitting numbers doctoral dissertation, under the supervision of Dr. Juris Steprans, York University, March 2008.
The consistency of $\mathfrak{b}=\kappa<\mathfrak{s}=\kappa^+$ with J. Steprans, Fundamenta Mathematicae, Volume 201, No. 3, 2008.
Open covers and symmetric operators with S. Watson, Topology Proceedings, Volume 27, No. 2, 2003.
Symmetric complex Banach manifolds and Hermitian Jordan triple systems - diplomarbeit (M.Sc. thesis), under the supervision of Dr. Wilhelm Kaup, University of TÃ¼bingen, March 2001.
4th Arctic Set Theory workshop, January 21-26, Finalnd.
November, 2018, RIMS, Kyoto, and research visit Kobe, Japan.
October 2018, Toronto, Canada, invited talk and research visit.
September 2018, CUNY, USA, invited talk and research visit.
September 2018 - Joint Meeting of the Czech, Slovenian, Austrian, Slovak and Catalan Mathematical Societies, plenary lecture.
August 22 - 24, 2018, Fourth Generalised Baire Spaces Workshop, Royal Dutch Academy of Sciences, invited talk.
August 12 -17, 2018, Hebrew University of Jerusalem (research visit), Jerusalem, Israel.
July 2 -5, 2018, Novi Sad Conference in Set theory and General Topology (SETTOP 2018), invited talk.
March 18 - 23, 2017, Hebrew University of Jerusalem (research visit), Jerusalem, Israel.
November 28, 2017 - Invited talk at the Mathematical Loigc Seminar, and research visit (26 - 29.11) at University of Hamburg.
November 22, 2017 - Colloquium Talk at the Faculty of Mathematics, University of Vienna.
October 8 -13, 2017, Set theory Workshop, Luminy, France.
September 11 -15, 2017, 17th Annual OEMG Meeting and DMG Congress, Salzburg, Austria.
August 28 - 31, 2017, Hebrew University of Jerusalem (research visit), Jerusalem, Israel.
July 3 -7, 2017, 6th European Set Theory conference, Budapest, Hungary, plenary talk.
December 2016, Logic Seminar, Graduate Center, CUNY, USA.
December 2016, Set Theory Seminar, Graduate Center, CUNY, USA.
October 17 -19, 2016, Prague - Vienna Set Theory Workshop, Czech Republic.
September 21- 23, 2016 - HCM, "Bonn Set Theory Workshop - the Generalized Baire space", Bonn, Germany.
January 2016 - AIM, "High and Low Forcing", San Jose, CA.
June 2015 - University of Bristol, UK.
April 2015 - Technical University of Vienna (Algebra Seminar), Austria.
March 2015 - National University of Singapore, Singapore.
January 2015 - KGRC, University of Vienna, Austria.
December 2014 - Technical University of Vienna (Logic Seminar), Austria.
November 2014 - University of Kobe, Japan.
October 31, 2014 - The Fields Insitute, Toronto, Canada.
July 14 - 19, 2014 - Logic Colloquium, Vienna, Austria (plenary talk).
March 4-7, 2014 - INFTY final conference, Bonn, Germany (plenary talk).
February 2014 - University of Copenhagen, Denmark.
January 12 - 18, 2014 - "Set Theory", MFO, Oberwohlfach, Germany.
November 3 - 8, 2013 - "Axiomatic Approaches to Forcing in Set Theory", Banff Internaitonal Research Center, Banff, Canada.
September 2013 - Alfred Renyi, Hungarian Academy of Sciencies, Budapest, Hungary; slides
September 2013 -International Conference on Topology and Geometry, joint with the 6th Japan-Mexico Topology Symposium (JAMEX 6), 2--6 September, Matsue, Japan; slides
April 2012 - Young Set Theory 2012, CIRM, France; slides
March 2012 - ASL Meeting in Wisconsin, Madison, USA; slides
January 2012 - Joint Workshop Kobe - Vienna, Kobe, Japan; slides
June 2009 - Mathematics Insitutute, University of Bonn, Germany; abstract
December 2011 - Joint workshop Prague - Vienna, Prague, Czech Republic; slides
October 2011 - KGRC, University of Vienna, Austria; abstract
July 2010 - Joint seminar Sobolev Institute of Mathematics and KGRC, Vienna, Austria; slides
November 2009 - KGRC, University of Vienna, Austria; abstract
September 2009 - Center for Advanced Studies, Prague, Czech Republic
August 2009 - Logic Colloquim 2009, Sofia, Bulgaria; slides
April 2009 - Young Set Theory Meeting, Barcelona, Spain (talk in the discussion session)
November 2008 - KGRC, University of Vienna, Austria; abstract
October 2008 - KGRC, University of Vienna, Austria abstract
August 2008 - RIMS workshop "Combinatorial and Descriptive Set Theory", Kyoto, Japan; slides
June 2008 - CMS Summer Meeting in Calgary, Canada; abstract
December 2007, 21st - Toronto Set Theory Seminar, Toronto, Canada; abstract
December 2007, 7th and 14th - Toronto Set Theory Seminar, Toronto, Canada; abstract
June 2006 - CMS Summer Meeting in Calgary, Canada; abstract
Iterations with mixed support Toronto Graduate Student Set Theory Seminar, August 2, 2007.
The consistency of $\mathfrak{t}=\omega_1< \mathfrak{h}=\omega_2$ Toronto Graduate Student Set Theory Seminar, July 12, 2007
Mathias forcing which does not add dominating reals Toronto Graduate Student Set Theory Seminar, June 7, 2007,
The consistency of arbitrarily large spread between $\mathfrak{u}$ and $\mathfrak{d}$ Toronto Graduate Student Set Theory Seminar, April 02, 2007.
Partitioning pairs of countable ordinals Toronto Graduate Student Set Theory Seminar, January 29, 2007.
Nonisomorphism of ultrpowers of countable elementary equivalent models Toronto Graduate Student Set Theory Seminar, January 8, 2007.
Preservation of the $^\omega\omega$-bounding property Toronto Graduate Student Set Theory Seminar, December 7, 2005.
Preservation of unboundedness and the consistency of $\mathfrak{b} < \mathfrak{s}$ Toronto Graduate Student Set Theory Seminar, October 12, 2005.
Preservation of properness under countable support iteration Toronto Graduate Student Set Theory Seminar, October 5, 2005.