Maxwell Levine

About Me

Papers

• "Good Scales and Non-Compactness of Squares (with Heike Mildenberger), submitted. [pdf]
• "On Namba Forcing and Minimal Collapses", submitted. [pdf]
• "Distinguishing Internally Club and Approachable on an Infinite Interval" (with Hannes Jakob), submitted. [pdf]
• "Classical Namba Forcing Can Have the Weak Countable Approximation Property", submitted. [pdf]
• "On Disjoint Stationary Sequences", to appear in Pacific Journal of Mathematics. [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), Israel Journal of Mathematics, 261L 541-588, 2024. [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), and Applications of Set Theory (notes). I have also tutored student seminars in Ramsey Theory, 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 website for my Winter 2024-2025 course, Set Theory and Independence Proofs, 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