Maxwell Levine

About Me

I am currently a postdoc in set theory at the University of Freiburg. Here is my curriculum vitae.

The most up-to-date versions of the unpublished papers can be found as PDF attachments.

"Classical Namba Forcing Can Have the Weak Countable Approximation Property", submitted. [pdf]
"On Disjoint Stationary Sequences", submitted. [pdf]
"Unthreadability with Small Conditions", submitted. [pdf]
"On Compactness of Weak Square at Singulars of Uncountable Cofinality", to appear in Journal of Symbolic Logic. [pdf]
"Distributivity and Minimality in Perfect Tree Forcings for Singular Cardinals" (with Heike Mildenberger), to appear in Israel Journal of Mathematics. [pdf]
"Trees and Stationary Reflection at Double Successors of Regular Cardinals" (with Thomas Gilton and Šárka Stejskalová), Journal of Symbolic Logic, 88(2): 780-810, 2023. [arxiv/link]
"Patterns of Stationary Reflection" (with Sy-David Friedman), Israel Journal of Mathematics, 249(1):1-35, 2022. [pdf/link]
"Squares and Uncountably Singularized Cardinals" (with Dima Sinapova), Fundamenta Mathematicae, 253(3):277-296, 2021. [pdf/link]
"Partitioning a Reflecting Stationary Set" (with Assaf Rinot), Proceedings of the American Mathematical Society, 148(8):3551-3565, 2020. [pdf/link]
"The Semi-Weak Square Principle", Annals of Pure and Applied Logic, 170(11):102713, 2019. [pdf/link]
"Stationary Sets Added When Forcing Squares", Archive for Mathematical Logic, 57(7):909-916, 2018. [pdf/link]
"Weak Squares and Very Good Scales", Journal of Symbolic Logic, 83(1):1-12, 2018. [link]

The University of Freiburg, I have taught short courses in Large Cardinals in Set Theory (notes), Models of Peano Arithmetic, and Descriptive Set Theory (notes). I have also tutored student seminars in Knot Theory, Cryptography, Representation Theory, Algebraic Topology, and Differential Topology.
At the University of Illinois at Chicago, I taught a number of courses including: Intermediate Algebra, Calculus I, Calculus II, Calculus III, Calculus for Business, and Elementary Linear Algebra.
The official website for my Summer 2024 course, Applications of Set Theory in Algebra and Topology, can be found here.