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

NEWS

Research Interests: Logic, Set Theory.

Conference Organizer

Postdocs and Doctoral Students

• Current Postdocs and Doctoral Students: David Schrittesser (postdoc), Monroe Eskew (postdoc), Wolfgang Wohofsky (postdoc), Jonathan Schilhan (doctoral student), Ömer Bag (doctoral student), Wolfgang Poiger (researcher).

• Former Postdocs: Diana Carolina Montoya (FWF Hertha Firnberg Fellow), Thilo Weinert (National University of Singapore), Yair Hayut (FWF Lise Meitner Fellow), David Fernandez Breton (CINVESTAV, Mexico City) .

Teaching

Doctoral Thesis Examiner and/or Referee
• Lukas Klausner, TU Wien, October 2018 (referee). Congratulations to Lukas!

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

• Thomas Baumhauer, TU Wien, early 2019 (external examiner). Congratulations to Thomas!

• Manuel Inselmann, Uni Wien, January 2020 (examiner). Congratulations to Manuel!

Master and Bachelor theses supervisor

Papers
1. Distributivity and more with W. Wohofsky, M. Koelbing, in preparation.

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

3. Parallel non-linear iterations with Ö. F. Bag, submitted.

4. Non-linear iterations and higher splitting with Ö. F. Bag, submitted.

5. Definable MAD families and forcing axioms with D. Schrittesser, T. Weinert, submitted.

6. Selective independence submitted.

7. Higher independence with D. C. Montoya, submitted.

8. Gaps and towers at uncountable cardinals with D. C. Montoya, J. Schilhan, D. Soukup, submitted.

9. Good projective witnesses with S. D. Friedman, D. Schrittesser, A. Törnquist, submitted.

10. Definable Towers with J. Schilhan, submitted.

11. More ZFC inequalities between cardinal invariants with Daniel Soukup, accepted at the Journal of Symbolic Logic.

12. Sacks indestructible eventually different families with David Schrittesser, accepted at Fundamenta Mathematicae.

13. Free sequences in $\mathcal{P}(\omega)/fin$ with D. Chodounsky, J. Grebik, Archive for Mathematical Logic 58(7-8), 1035-1051, 2019.

14. Definable maximal independent families with J. Brendle, Y. Khomskii, Proceedings of the American Mathematical Society 147, 3547-3557, 2019.

15. The spectrum of independence with S. Shelah, Archive for Mathematical Logic 58(7-8), 877-884, 2019.

16. Ideals of Independence with D. C. Montoya, Archive for Mathematical Logic 58(5-6), 767-785, 2019.

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

18. Coherent systems of finite support iterations with S. D. Friedman, D. A. Mejia, D. C. Montoya, Journal of Symbolic Logic 83(1), 208-236, 2018.

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

20. Generalized characteristics in a small $\mathfrak{u}(\kappa)$ model with A. Brooke-Taylor, S. D. Friedman, D. Montoya, Annals of Pure and Applied Logic 168(1), 37-49, 2017.

21. Splitting, bounding and almost disjointness can be quite different with D. Mejia, Canadian Journal of Mathematics 69(3), 502-531, 2017.

22. Definable maximal cofinitary groups with S. D. Friedman, A. Törnquist, preprint.

23. Maximal cofinitary groups revisited Mathematical Logic Quarterly 61, 367-379, 2015.

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

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

26. 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), 695-729, 2014.

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

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

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

30. Projective wellordrs and mad families with large continuum with S. D. Friedman and L. Zdomskyy, Annals of Pure and Applied Logic 162(11), 853-862, 2011.

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

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

33. A co-analytic maximal set of orthogonal measures with A. Törnquist, Journal of Symbolic Logic 75(4), 1403 - 1414, 2010.

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

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

36. The consistency of arbitrarily large spread between the bounding and the splitting numbers doctoral dissertation, under the supervision of Dr. Juris Steprans, York University, 2008.

37. The consistency of $\mathfrak{b}=\kappa<\mathfrak{s}=\kappa^+$ with J. Steprans, Fundamenta Mathematicae 201(3), 283-293, 2008.

38. Open covers and symmetric operators with S. Watson, Topology Proceedings 27(2), 653-660, 2003.

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

Invited Talks, Workshops, Research Visits, etc.
• July 13 - 17, 2020, Logic Colloquium, Poznan, Poland, plenary lecture.

• April 22 - 24, 2020, CUNY Set Theory Meeting, New York, USA, invited lecture.

• April 5 - 11, 2020, Oberwolfach Set Theory Workshop, Oberwolfach, Germany.

• March 18 - 21, 2020, Set-Theoretic Topology at STDC 2020, Murray, Kentucky, USA, plenary lecture.

• October 24 - 28, 2019, Rutgers University, NJ, USA, research visit.

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

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

• April 2019, Invited Lecture and Research visit, University of Helsinki, Finland.

• March 2019, Invited Lecture and Research visit, University of Leeds, England.

• February 3 - 6, 2019, research visit, Hebrew University of Jerusalem, Israel.

• January 21 - 26, 2019, 4th Arctic Set Theory workshop, Finland.

• 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 University, 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 lecute.

• 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 lecture.

• March 18 - 23, 2017, Hebrew University of Jerusalem (research visit), Jerusalem, Israel.

• November 28, 2017 - Invited talk at the Mathematical Logic 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 lecture.

• 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 2 - 6, 2013 -International Conference on Topology and Geometry, joint with the 6th Japan-Mexico Topology Symposium (JAMEX 6), 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