Preprints

1. The clubs of the square bracket operations
   with Stevo Todorcevic.
   Submitted.


2. An easy proof that there may be no P-points with an arbitrarily large continuum
   with David Chodounský and Jonathan Verner .
   Submitted.
   


3. Forcing axioms for Construction Schemes
   with Jorge Antonio Cruz Chapital and Stevo Todorcevic .
   Submitted.
   


4. Diamonds on trees
   with Carlos López Callejas.
   Submitted.


5. The Solovay model and its ideal dichotomies
   with Jareb Navarro Castillo.
   Coming "soon".


6. Shelah Ultrafilters
   with Emmanuel Balderas and David Chodounský.
   Submitted.


7. Hechler-type Forcings
   with Emmanuel Balderas.
   Coming "soon".


8. Are scales Fréchet?
   with Raúl Figueroa Sierra, Michael Hrusak and Adam Kwela.
   Coming "soon".


9. Properties of Laver forcing associated with a co-ideal expressed via the Katetov order
   with Francisco Santiago Nieto de la Rosa and Ulises Ariet Ramos García.
   Coming "soon".


10. How many analytic sets are needed to form a MAD family?
    with Yhon J. Castro.
    Submitted.

Publications

1. Construction schemes: Transferring structures from ω to ω₁
   with Jorge Antonio Cruz Chapital and Stevo Todorcevic.
   Annals of Pure and Aplied Logic.
   If you want to learn Construction Schemes from the beginning, see also here.
   


2. Combinatorics of MAD families
   with Joerg Brendle, Michael Hrusak and Dilip Raghavan.
   Canadian Journal of Mathematics.


3. No covering with nowhere dense P-sets in the Cohen model
   with Alan Dow .
   Topology and its Applications.


4. Ultrafilters in the Random models
   with Alan Dow .
   Canadian Journal of Mathematics.


5. Gruff Ultrafilters and the ideal of scattered sets
   with Emmanuel Balderas.
   Topology and its applications.


6. Forcing properties of Boolean algebras of type P(ω)/I
   with Gabriela Campero-Arena, Michael Hrusak and David Meza Alcántara.
   Fundamenta Mathematicae.


7. Ultrafilters and the Katetov order
   with Jonathan Cancino and Michael Hrusak .
   Zbornik Radova.
   


8. Preserving and constructing multiple gaps
   with Francisco Santiago Nieto de la Rosa.
   Annals of Pure and Applied Logic.


9. The Category Dichotomy for Ideals
   with Alan Dow, Raúl Figueroa Sierra and Michael Hrusak .
   Annals of Pure and Applied Logic.


10. Infinite dimensional sequential compactness: Sequential compactness based on barriers
    with César Corral, Carlos López Callejas, Pourya Memarpanahi, Paul Szeptycki and Stevo Todorcevic .
    Canadian Journal of Mathematics


11. Almost disjoint families and the geometry of nonseparable spheres
    with Michael Hrusak and Piotr Koszmider.
    Journal of Functional Analysis.


12. High-dimensional sequential compactness.
    with César Corral and Carlos López Callejas.
    Fundamenta Mathematicae.


13. The P-Ideal Dichotomy, Martin's Axiom and Entangled Sets
    with Stevo Todorcevic .
    Israel Journal of Mathematics.
    


14. Forcing with copies of the Rado and Henson graphs
    with Stevo Todorcevic .
    Annals of Pure and Applied Logic.
    


15. The Katetov order on MAD families
    Journal of Symbolic Logic.
    


16. HL ideals and Sacks indestructible ultrafilters
    with Michael Hrusak and David Chodounský.
    Annals of Pure and Applied Logic.
    


17. Partition forcing and independent families
    with Jorge Antonio Cruz Chapital, Vera Fischer and Jaroslav Supina.
    Journal of Symbolic Logic.
    


18. MAD families and Strategically Bounding forcings
    with Michael Hrusak
    European Journal of Mathematics.


19. The ultrafilter number and hm
    Canadian Journal of Mathematics.


20. Maximal almost disjoint families and pseudocompactness of hyperspaces
    with Michael Hrusak , Vinicius Rodrigues, Stevo Todorcevic and Artur Tomita.
    Topology and its Applications.


21. More on P-points and MAD families
    with Salvador García Ferreira.
    Topology and its Applications.


22. On Completely Separable MAD Families
    Proceedings of the 2020 RIMS meeting on Set Theory: Reals and Topology.


23. The ultrafilter and almost disjointness numbers
    with Damjan Kalajdzievski
    Advances on Mathematics.


24. More on Fréchet-Urysohn ideals
    with Salvador García Ferreira
    Journal of Symbolic Logic.


25. On R-embeddability of almost disjoint families and Akemann-doner C* algebras
    with Michael Hrusak and Piotr Koszmider.
    Fundamenta Mathematicae.


26. Preservation theorems for Namba forcing
    with Michael Hrusak and Jindrich Zapletal
    Annals of Pure and Applied Logic.


27. Indestructibility of ideals and MAD families
    with David Chodounský.
    Annals of Pure and Applied Logic.
    Special issue celebrating "50 years of set theory in Toronto".


28. Splitting chains and twisted sums of Banach spaces
    with Antonio Aviles, Piotr Nadzieja , Felix Cabéllo and and David Chodounský
    Israel Journal of Mathematics.


29. How to drive our families MAD
    with Sakaé Fuchino , Stefan Geschke and Lajos Soukup
    Accepted in the Archive for Mathematical Logic.


30. Sacks Forcing and the Shrink Wrapping Property
    with Daniel Hathaway
    Fundamenta Mathematicae.


31. On weakly universal graphs
    Fundamenta Mathematicae.


32. Restricted MAD families
    with Michael Hrusak and Osvaldo Tellez
    Journal of Symbolic Logic.


33. There are no P-points in the Silver model
    with David Chodounský
    Israel Journal of Mathematics.


34. On Pospisil ideals
    with Michael Hrusak
    Topology and its Applications.


35. There is a +-Ramsey MAD family
    Israel Journal of Mathematics.


36. Cardinal invariants of pourous sets
    with Michael Hrusak and Arturo Antonio Martinez-Celis
    Journal of Logic and Analysis.


37. Ideal independent families and the ultrafilter number
    with Arnie Miller and Jonathan Cancino
    Journal of Symbolic Logic.


38. Generic existence of MAD families
    with Michael Hrusak , Ariet García and Carlos Azarel
    Journal of Symbolic Logic.


39. The onto mapping of Sierpinski and non-meager sets
    Journal of Symbolic Logic.


40. Some structural aspects of the Katetov order on Borel ideals
    with David Meza Alcántara
    Order.


41. Mathias-Prikry and Laver type forcing; summable ideals, coideals, and +-selective filters
    with Michael Hrusak and David Chodounský
    Archive for Mathematical Logic.


42. Canjar Filters II
    with Michael Hrusak and Arturo Antonio Martinez-Celis
    Proceedings of the 2014 RIMS meeting: Reflection principles and set theory of large cardinals.


43. Canjar Filters
    with Michael Hrusak and Arturo Antonio Martinez-Celis
    Notre Dame Journal of Formal Logic.


44. n-Luzin gaps
    with Michael Hrusak
    Topology and its Applications.