# Maxwell Levine

## About Me

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

The most up-to-date versions of the unpublished papers can be found as PDF attachments.
- "Distinguishing Internally Club and Approachable on an Infinite Interval" (with Hannes Jakob). [pdf]
- "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]

## Teaching

- 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.

## Contact Information

- postal:

Albert-Ludwigs-Universität Freiburg

Mathematisches Institut

Ernst-Zermelo-Straße 1

79104 Freiburg im Breisgau

Germany
- email: maxwell(dot)levine(at)mathematik(dot)uni-freiburg(dot)de
- office: 311

© 2015-present Maxwell Levine