2026
preprint
Discrepancy theory, Tverberg's theorem, and regression depth
Discrepancy-theoretic bounds for Tverberg partitions with tolerance, for point sets and for regression hulls of hyperplanes.
Research together
Students & mentoring
I work with undergraduate students on research in discrete geometry and related areas of combinatorics. Projects can grow from elementary geometric questions into new mathematics.
I co-organize the New York Discrete Mathematics REU at Baruch College. The program website has current application information and results from previous summers. Students interested in working with me during the academic year are also welcome to contact me.
Joint research
Papers with students
Student status refers to the collaboration on the paper, not the coauthor’s current position. Highlighted author names identify student collaborators.
2026
preprint
Helly and Radon theorems for convex intersections containing k-flats
Colorful and fractional intersection theorems for convex families whose intersection contains an affine k-flat.
2026
2026
2025
accepted
Partitions of mass assignments with spheres and wedges
Accepted in European Journal of Combinatorics
2025
published
Colorful and Quantitative Variations of Krasnosselsky's Theorem
Studia Sci. Math. Hungar. 62 (2025), no. 4, 336–353.
2025
2024
published
Generalizations of the Yao–Yao partition theorem and the central transversal theorem
Discrete Comput. Geom. 71 (4), 1381–1402.
2024
published
Bisections of mass assignments using flags of affine spaces
Discrete Comput. Geom. 72 (2), 550–568.
2023
published
Lifting methods in mass partition problems
Int. Math. Res. Not. IMRN 2023 (16), 14103–14130.
2022
published
Counterexamples to the Colorful Tverberg Conjecture for Hyperplanes
Acta Mathematica Hungarica 167, 385–392.
2022
2022
published
Isometric and affine copies of a set in volumetric Helly results
Comput. Geom. 103, Paper No. 101855.
2021
published
Quantitative combinatorial geometry for concave functions
J. Combin. Theory Ser. A 182, Article 105465.
2021
2021
2021
Competition mathematics
Problem-solving resources and material used in olympiad training.