Notes, Slides, and Other
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Notes, Slides and Other

Talk about Generic Coding with Help
given at the Core Model Seminar in 2023
entitled "Improving a result of Mostowski:
Amalgamation Failure".
PDF

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

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".

Generic Coding with Help (Official) talk
given at the ASL 2019 Annual North American Meeting.
PDF.
The official talk that goes with SyDavid Friedman's paper
with myself called "Generic Coding with
Help and Amalgamation Failure".

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

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

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

Ramsey theory on generalized Baire space.
PDF.

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

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

The HalpernLauchli Theorem at a Measurable Cardinal slides.
PDF.

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

No Unwanted Universally Baire Morphisms.
arXiv ,

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

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.

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.

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

Generalized Domination (my PhD thesis).
PDF.

Diagram of Cardinal Characteristics.
JPG.