Vera Fischer, Privatdoz., PhD.
Email: vera.fischer at univie.ac.at
Phone: +43 1 4277 50520

NEWS:
• Mag. Bag will join my group as a doctoral student in March 2019.

• July 6 - July 10, 2020: The Erwin Schrödinger Insititute will host and fund in part a week long Workshop in Set Theory.

• I 4039 International Project approved. Dr. Yair Hayut (Hebrew University of Jerusalem) will be joining my team in early 2019.

• 2019 North American Annual Meeting of the Association of Symbolic Logic, 20 - 23 May, New York, plenary lecture.

• 50 Years of Set Theory in Toronto, May 13 -17, 2019, the Fields Institute, Toronto, plenary lecture.

Research Interests: Logic, Set Theory.

Conference Organizer:

FWF Project Y1012-N35 : Project personnel
• Vera Fischer Principal Investigator

• Diana Carolina Montoya Postdoc

• Jonathan Schilhan Doctoral Student

• Thilo Weinert Postdoc

• Wolfgang Wohofsky Postdoc, expected 01.02.2019

• David Fernandez-Breton Postdoc (Sept - Oct 2018)

Teaching

Doctoral Thesis External Examiner and Referee:
• Lukas Klausner , TU Wien, October 2018. Congratulations to Lukas!

• Anda Ramona-Tanasie , TU Wien. November 2018. Congratulations to Anda!

• Lorenzo Sauras , Uni Wien, December 2018 (Master Examination, 2nd examiner). Congratulations to Lorenzo!

Master and Bachelor theses:

Papers
1. The pseudo-intersection and tower numbers for uncountable cardinals with D. Montoya, D. Soukup, in preparation.

2. The Spectrum of Independence, Part II with S. Shelah, in preparation.

3. Computational Complexity and Forcing with Moritz Müller, in preparation.

4. The generalized independence number with Diana Carolina Montoya, in preparation.

5. Definable maximal cofinitary group of intermediate sizes with S.D. Friedman, D. Schrittesser, A. Törnquist, in preparation.

6. Sacks indestructible eventually different families , with David Schrittesser, submitted.

7. Free sequences in $\mathcal{P}(\omega)/fin$ , with D. Chodounsky, J. Grebik, submitted.

8. Definable maximal independent families with J. Brendle, Y. Khomskii, accepted at the Transactions of the American Mathematical Society.

9. The spectrum of independence with S. Shelah, accepted at the Archive for Mathematical Logic.

10. More ZFC inequalities between cardinal invariants with Daniel Soukup, submitted.

11. Ideals of Independence with D.Montoya, submitted.

12. Definable Towers with J. Schilhan, submitted.

13. From creature forcing to boolean ultrapowers I.M.N. 236, 1-11, 2017.

14. Coherent systems of finite support iterations with S.D.Friedman, D. A. Mejia, D. Montoya, accepted at the Journal of Symbolic Logic.

15. A co-analytic Cohen indestructible maximal cofinitary group with D. Schrittesser and A. Törnquist, Journal of Symbolic Logic 82 (2), 629-247, 2017.

16. 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)

17. 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)

18. Definable maximal cofinitary groups. with S.D. Friedman and A. Toernquist, submitted.

19. Maximal cofinitary groups revisited, Math. Log. Quart. 61 (2015), 367 - 379.

20. Measure, category and projective wellorders, with S.D. Friedman and Y. Khomskii, Journal of Logic and Analysis 6:8 (2014), 1-25.

21. Template iterations and maximal cofinitary groups with A. Törnquist, Fundamenta Mathematicae 230 (3):205-236, 2015.

22. 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.

23. Co-analytic mad families and definable wellorders with S.D. Friedman and Y. Khomskii, Archive for Mathematical Logic 52: 7-8 (2013) 809-822.

24. Cardinal characteristics, projective wellorders and large continuum with S. D. Friedman and L. Zdomskyy, Annals of Pure and Applied Logic 164 (2013) 763-770.

25. Projective maximal families of orthogonal measures with large continuum with S. D. Friedman and A. Törnquist, Journal of Logic and Analysis 4 (2012), 1-15.

26. 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.

27. Non-dominating ultrafilters with B. Irrgang, Acta Universitatis Carolinae - Mathematica et Physica, vol. 51, 13-17, 2010

28. Mad families, splitting families and large continuum with J. Brendle, Journal of Symbolic Logic, 76, 1, 198-208, March 2011.

29. A co-analytic maximal set of orthogonal measures with A. Törnquist, Journal of Symbolic Logic, 75, 4, pp. 1403 - 1414.

30. Cardinal characteristics and projective well-orders with S. D. Friedman, Annals of Pure and Applied Logic 161 (2010), 916-922.

31. Further combinatorial properties of Cohen forcing with J. Steprans, RIMS Conference proceedings in "Combinatorial and Descriptive Set Theory", Kyoto, 2008.

32. 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.

33. The consistency of $\mathfrak{b}=\kappa<\mathfrak{s}=\kappa^+$ with J. Steprans, Fundamenta Mathematicae, Volume 201, No. 3, 2008.

34. Open covers and symmetric operators with S. Watson, Topology Proceedings, Volume 27, No. 2, 2003.

35. Symmetric complex Banach manifolds and Hermitian Jordan triple systems - diplomarbeit (M.Sc. thesis), under the supervision of Dr. Wilhelm Kaup, University of Tübingen, March 2001.

Invited Talks, Workshops, Research Visits, etc.
• 2019 North American Annual Meeting of the Association of Symbolic Logic, 20 - 23 May, New York, pleanry lecture.

• 50 Years of Set Theory in Toronto, May 13 -17, 2019, the Fields Institute, Toronto, plenary lecture.

• 4th Arctic Set Theory workshop, January 21-26, Finalnd.

• December 16 -20, 2018, Hebrew University of Jerusalem (research visit), Jerusalem, Israel.

• November, 2018, RIMS, Kyoto, invited talk and research visit Kobe, Japan.

• September 24th, 2018, Colloquium Talk at the Department of Mathematics, York Univeristy, Toronto, Canada.

• September 21st, 2018, Fields Institute, invited talk, Toronto, Canada.

• 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

Other Talks
• 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

Some Expository Talks