Papers and Preprints:


Some more recent work

  1. Towers, mad families and unboundedness with M. Koelbing, W. Wohofsky.

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

  3. On heights of distributivity matrices with W. Wohofsky, M. Koelbing.

  4. Tight eventually different families with C. Switzer.

  5. Partition forcing and maximal independent families with J. A. Cruz-Chapital, O. Guzman, J. Supina.

  6. Discussion on Ramsey filters with J. Supina, notes.

  7. Strong independence and its spectrum with M. Eskew.

  8. The structure of $\kappa$-maximal cofinitary groups with C. Switzer.

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


Papers and Preprints

  1. Projective well orders and coanalytic witnesses with J. Bergfalk, C. B. Switzer, Annals of Pure and Applied Logic, https://doi.org/10.1016/j.apal.2022.103135.

  2. Higher independence with D. C. Montoya, Journal of Symbolic Logic, 1-24, doi:10.1017/jsl.2022.33.

  3. Towers and gaps at uncountable cardinals with D. C. Montoya, J. Schilhan, D. Soukup, Fundamenta Mathematicae 257, 141-166, 2022.

  4. Definable Towers with J. Schilhan, Fundamenta Mathematicae 256, 221-241, 2022.

  5. More ZFC inequalities between cardinal invariants with D. Soukup, Journal of Symbolic Logic 86(3), 871-896, Sept. 2021.

  6. Definable MAD families and forcing axioms with D. Schrittesser, T. Weinert, Annals of Pure and Applied Logic 172, 2021.

  7. A Sacks indestructible co-analytic maximal eventually different family with D. Schrittesser, Fundamenta Mathematicae 252 179-201, 2021.

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

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

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

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

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

  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. C. Montoya, Journal of Symbolic Logic 83(1), 208-236, 2018.

  15. A co-analytic Cohen indestructible maximal cofinitary group with D. Schrittesser, 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, Annals of Pure and Applied Logic 168(1), 37-49, 2017.

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

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

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

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

  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), 695-729, 2014.

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

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

  25. 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.

  26. 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.

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

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

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

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

  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, 2008.

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

  34. Open covers and symmetric operators with S. Watson, Topology Proceedings 27(2), 653-660, 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, 2001.