Biography 

I have been at Bard since Fall 2016.  Before that, I held visiting positions at Wellesley College and the Cooper Union. I received my Ph.D. in Mathematics from the Courant Institute (New York University), and my B.A. in Mathematics from Yale University after switching from a major in Philosophy in my junior year. 

Research

My research is in discrete geometry, with an emphasis on those problems which are amenable to topological methods or admit continuous generalizations.  I am particularly interested in (1) fair division problems  for discrete and continuous measures along the lines of the classical "ham sandwich" theorem,  (2) variants and extensions of classical intersection results from convex geometry, especially Tverberg's theorem,  and (3) embedding problems for simplicial complexes.  

Publications

* Denotes Bard College student

[14]  A non-face characterization of spheres on few vertices.  With Shuai Huang*, Jasper Miller*, and Daniel Rose-Levine*.  Submitted. 6 pages

[13] Fan distributions via Tverberg partitions and Gale duality. With Shuai Huang*, Jasper Miller*, and Daniel Rose-Levine*. Submitted. 23 pages

[12] Topological methods in zero-sum Ramsey theory.  With Florian Frick,  Jacob Lehmann Duke, Meenakshi McNamara, Hannah Park-Kaufmann*, Steven Raanes, Darrion Thornburgh*, and Zoe Wellner. Accepted to Forum of Mathematics, Sigma. 18 pages

[11] The generalized Makeev problem revisited. With Andres Mejia* and Jialin Zhang*.  Beiträge zur Algebra und Geometrie 66 (2025) 253-274

[10]  Transversal generalizations of hyperplane equipartitions. With Florian Frick, Samuel Murray, and Laura Stemmler.  International Mathematics Research Notices 2024 No. 7 (2024) 5586-5618

[9] Embedding dimensions of simplicial complexes on few vertices.  With Florian Frick, Mirabel Hu, and Verity Scheel*. Annals of Combinatorics 27 (2023) 993-1003

[8] Inscribed Tverberg-type partitions for orbit polytopes.  With Tobias Timofeyev*. Mathematika 68 (2022) 1135-1152

[7] Regular polygonal partitions of a Tverberg type.  With Leah Leiner*. Discrete and Computational Geometry 66 (2021) 1053-1071

[6] Hyperplane equipartitions plus constraints. Journal of Combinatorial Theory, Series A 161 (2019) 29-50

[5] Mass partitions via equivariant sections of Stiefel bundles. Filomat 32  (2018) 3759-3768

[4] Measure partitions via Fourier analysis II: center transversality in the L^2-norm for complex hyperplanes. Journal of Geometry 107 (2016) 593-601

[3] Average-value Tverberg partitions via finite Fourier analysis. Israel Journal of Mathematics 216 (2016) 891-904

[2] Measure equipartitions via finite Fourier analysis. Geometriae Dedicata 179 (2015) 217-228

[1] G-ham sandwich theorems: balancing measures by finite subgroups of spheres.  Journal of Combinatorial Theory, Series A 120 (2013) 1906-1912

Teaching

In Fall 2025 I am teaching  MATH 332 (Abstract Algebra) and MATH 141 (Calculus I).  Below is a list of my teaching at Bard. 

MATH T400 (Abstract Algebra II) Sp 2025

MATH T400 (Real Analysis II) Sp 2021

MATH 362 (Complex Analysis) F 2024 and Sp 2021

MATH 361 (Real Analysis)  F 2017, 2018, 2023  and Sp 2016, 2020

MATH 332 (Abstract Algebra)  F 2016, 2025

MATH 331 (Abstract Linear Algebra) Sp 2024

MATH 328 (Probability) F 2018, Sp 2022

MATH 321 (Differential Equations) Sp 2019

MATH 312 (Advanced Calculus) F 2019

MATH 261 (Proofs and Fundamentals) F 2018 and Sp 2025

MATH 255 (Vector Calculus) Sp 2023, 2024

MATH 245 (Intermediate Calculus) Sp 2018

MATH 242 (Linear Algebra) Sp 2022

MATH 142 (Calculus II)  F 2016 and Sp 2017, 2020, 2021

MATH 141 (Calculus I) F 2023, 2025

MATH 105 (Time, Space, and Infinity: Mathematical Perspectives on Philosophical Paradoxes) F 2017, 2019, 2020, 2022 and Sp 2018, 2019, 2025; cross-listed with Philosophy 

PHIL 237 (Symbolic Logic) Sp 2023

FYSEM I (First Year Seminar) F 2022, 2024