Will Adkisson

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I am a Hedricks Math Fellow at UCLA. I did my PhD at UIC, under the supervision of Dima Sinapova .

My CV can be found here.

Research Interests

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I am interested in logic and set theory, specifically combinatorial set theory and large cardinals.

Papers and Preprints

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Research

1. Strong Tree Properties Along Many Segments of Successors of Singulars . Submitted.
2. On the strength of ultrafilters above choiceless large cardinals and their Prikry forcings, with Omer Ben Neria. Submitted.
3. Tree Properties at Successors of Singulars of Many Cofinalities . Fundamenta Mathematicae 273 (2026), 165-175. doi.org/10.4064/fm250219-2-3
4. Mutual Stationarity and Combinatorics at $\aleph_\omega$, with Dima Sinapova. To appear in the Israel Journal of Mathematics.
5. The Strong and Super Tree Properties at Successors of Singular Cardinals. Journal of Symbolic Logic Vol 89, Issue 3, September 2024. doi.org/10.1017/jsl.2023.96
6. DNA Origami and Unknotted A-Trails in Torus Graphs. Journal of Knot Theory and Its Ramifications Vol. 29, No. 07, 2050041 (2020). doi.org/10.1142/S0218216520500418

Expository

• An Overview of Knot Invariants. Written as part of the 2015 University of Chicago Math REU.
• Geodesics of Hyperbolic Space. Written as part of the 2014 University of Chicago Math REU.

Organization

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I am currently co-organizing the UCLA Logic Seminar and Logic Colloquium with Anton Bernshteyn.

23rd Graduate Student Conference in Logic, April 15-16 2023.

I co-organized UIC's Louise Hay Logic Seminar with Kevin Zhou from 2022-2024.

Teaching

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Past Courses: Math 223(Topics in Set Theory), 182 (Algorithms), 115A (Linear Algebra), 114L (Mathematical Logic), 31A (Calculus).

At UIC, I was an instructor for Intermediate Algebra and the ESP Workshop for Intro to Proofs. I was a TA for College Algebra, Precalculus, Calculus 1-3, and Teaching and Presentation of Mathematics. I was a Teaching Assistant Coordinator in Fall 2021.