Notes, Slides, and Other

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  1. A theorem by Lajos Soukup that if you have omega_1 functions from omega to omega, then there is a size omega subfamily that is bounded with respect to everywhere domination.
    PDF


  2. Informal talk about classical facts about distributive laws for complete Boolean algebras.
    PDF.
    Note: I talk about the Covering Lemma. I also mention some of my results in "Weak Distributivity implying Distributivity".


  3. CBAsAndWeakDist
  4. Generic Coding with Help (Official)
    PDF.
    The official talk that goes with Sy-David Friedman's paper with myself called "Generic Coding with Help and Amalgamation Failure".


  5. Generic Coding with Help (Brainstorming)
    PDF.
    I never gave this talk, but I used these slides for brainstorming.


  6. The Halpern-Lauchli Theorem and an Indestructible Partition Relation
    PDF.
    Connects the work of Natasha Dobrinen and myself on the HL to the work of Jing Zhang.


  7. A follow up to "Ramsey theory on generalized Baire space" where I prove a Ramsey theorem at a measurable cardinal.
    PDF.


  8. Ramsey theory on generalized Baire space.
    PDF.


  9. Disjoint Infinity-Borel Functions overview slides (more in depth).
    PDF.
    Some key ideas in the "Disjoint Infinity-Borel Function" project (as well as the "Disjoint Borel Function" project) lead to the "Generic Coding with Help and Amalgamation Failure" project with Sy-David Friedman.


  10. Disjoint Infinity-Borel Functions overview slides (overview).
    PDF.
    The "Disjoint Infinity-Borel function" project came out of the "Disjoint Borel Function" project.


  11. The Halpern-Lauchli Theorem at a Measurable Cardinal slides.
    PDF.


  12. Disjoint Borel Functions slides.
    PDF.
    Goes with the paper Disjoint Borel Functions. Note: The main ideas came from my thesis.


  13. No Unwanted Universally Baire Morphisms.
    arXiv ,


  14. Poster for Weak Distributivity implying Distributivity.
    PDF ,
    Note: this turned into my paper "Weak Distributivity Implying Distributivity". The main ideas came from my thesis.


  15. A lower bound for generalized dominating numbers.
    arXiv ,
    Note: this turned into my paper "Weak Distributivity Implying Distributivity". The main ideas came from my thesis.


  16. A lower bound for generalized dominating numbers.
    arXiv ,
    Note: this turned into my paper "Weak Distributivity Implying Distributivity". The main ideas came from my thesis.


  17. Dominating a function that blows up.
    PDF,
    A result from my thesis.


  18. Generalized Domination (my PhD thesis).
    PDF.


  19. Diagram of Cardinal Characteristics.
    JPG.