Notes, Slides, and Other
Home -->
Professional -->
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 Sy-David 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 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.
-
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 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.
-
Disjoint Infinity-Borel Functions overview slides (overview).
PDF.
The "Disjoint Infinity-Borel function" project came out of
the "Disjoint Borel Function" project.
-
The Halpern-Lauchli 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.