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 space. Prior to my current position I was a FWF-Lise-Meitner Project Leader (M1365-N13) . In June 2017 I was awarded the FWF 2017 START Prize (Y1012-N35) , which is the highest Austrian award for scientists under the age of 35. Congratulations to all the awardees !


Teaching
Master and Bachelor theses:
Papers
  1. On definable cofinitary groups with David Schrittesser.

  2. On some generalized preservation properties with Oemer Faruk Bag, in preparation.

  3. Towers and splitting with J. Schilhan, in preparation.

  4. From creature forcing to boolean ultrapowers submitted (expository article).

  5. Cofinitary groups and coherent systems in preparation.

  6. The spectrum of independence with S. Shelah, in preparation.

  7. A note on independence with D.Montoya, in preparation.

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

  9. A co-analytic Cohen indestructible maximal cofinitary group with D. Schrittesser and A. Toernquist, accepted at the Journal of Symbolic Logic.

  10. 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)

  11. 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)

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

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

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

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

  16. 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.

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

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

  19. 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.

  20. 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.

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

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

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

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

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

  26. 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.

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

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

  29. 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, etc.
Other Talks
Some Expository Talks