Clinton

Current Course

Fall 2026 Matrix Theory

Recent Courses

Spring 2026 Math Studies Algebra II

Fall 2025 Math Studies Algebra I

Spring 2025 Descriptive Set Theory (lecture notes)

Spring 2024 Math Studies Algebra II

Spring 2024 Topics in Algebra: Mathematical Paradoxes (lecture notes)

Fall 2023 Math Studies Algebra I

Fall 2022 Matrix Theory

Fall 2022 Descriptive Set Theory

Spring 2022 Math Studies Algebra II

Spring 2022 Set Theory

Fall 2021 Math Studies Algebra I

Papers, preprints, and notes

• Measurable regular subgraphs, with M. Bowen and F. Weilacher
• Quasi-invariant measures concentrating on countable structures, with C. Jahel and A. Panagiotopoulos
• Local version of Vizing's theorem for multi-graphs, with J. Grebík and O. Pikhurko
• One-ended spanning subforests and treeability of groups, with D. Gaboriau, A.S. Marks, and R.D. Tucker-Drob
• Divisibility of spheres with measurable pieces, with J. Grebík and O. Pikhurko
• Borel asymptotic dimension and hyperfinite equivalence relations, with S.C. Jackson, A.S. Marks, B. Seward, and R.D. Tucker-Drob
• Equitable colorings of Borel graphs, with A. Bernshteyn
• Measurable realizations of abstract systems of congruences, with A.S. Marks and S.T. Unger
• Unfriendly colorings of graphs with finite average degree, with O. Tamuz
• Folner tilings for actions of amenable groups, with S.C. Jackson, D. Kerr, A.S. Marks, B. Seward, and R.D. Tucker-Drob
• Hyperfiniteness and Borel combinatorics, with S.C. Jackson, A.S. Marks, B. Seward, and R.D. Tucker-Drob
• Incomparable actions of free groups, with B.D. Miller
• Measurable perfect matchings for acyclic locally countable Borel graphs, with B.D. Miller
• The smooth ideal, with J.D. Clemens and B.D. Miller
• Measure reducibility of countable Borel equivalence relations , with B.D. Miller
• Orthogonal measures and ergodicity, with B.D. Miller
• A bound on measurable chromatic numbers of locally finite Borel graphs, with B.D. Miller
• Brooks's theorem for measurable colorings, with A.S. Marks and R.D. Tucker-Drob
• Distance from marker sequences in locally finite Borel graphs, with A.S. Marks
• Measure-theoretic unfriendly colorings
• Stationary probability measures and topological realizations, with A.S. Kechris and B.D. Miller
• Measurable chromatic and independence numbers for ergodic graphs and group actions, with A.S. Kechris
• Ultraproducts of measure preserving actions and graph combinatorics, with A.S. Kechris and R.D. Tucker-Drob
• Canonizing relations on nonsmooth sets
• An antibasis result for graphs of infinite Borel chromatic number, with B.D. Miller
• Brooks' theorem for Bernoulli shifts
• Descriptive set-theoretic dichotomy theorems and limits superior, with D. Lecomte and B.D. Miller
• Definability of small puncture sets, with A.E. Caicedo, J.D. Clemens, and B.D. Miller
• Partition relations via ideal products
• Defining non-empty small sets from families of finite sets, with A.E. Caicedo, J.D. Clemens, and B.D. Miller
• Finite monoid-valued measure algebras