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.


Conference Organizer:
FWF Project Y1012-N35 : Project personnel

Teaching


Master and Bachelor theses:
Papers
  1. Definable maximal cofinitary group of intermediate sizes with S.D. Friedman, D. Schrittesser, A. Toernquist, in preparation.

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

  3. A note on generalised splitting, bounding and domination with Ö. Bag, in preparation.

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

  5. Definable maximal independent families with J. Brendle, Y. Khomskii, submitted.

  6. A co-analytic Sacks indestructible maximal independent family preprint.

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

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

  9. The spectrum of independence with S. Shelah, submitted.

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

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

  12. Definable Towers and Coherent Systems 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. Toernquist, 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. Toernquist, 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. Toernquist, 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. Toernquist, 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.
Other Talks
Some Expository Talks