2026
Discrete geometry · Topological combinatorics
Pablo
Soberón.
Associate Professor of Mathematics
Baruch College & The Graduate Center, CUNY
I study the interaction between combinatorics, algebraic topology, and linear algebra, with a focus on discrete geometry and topological combinatorics.
From the publication list
Recent work
Questions & connections
Research directions
Tverberg theory
Partitions, convex hulls, and intersection patterns. Colorful, tolerant, quantitative, and topological versions of Tverberg’s theorem.
29 papers
Mass partitions
Fairly dividing measures using hyperplanes and other geometric shapes, with connections to topology and convexity.
16 papers
Helly-type theorems
How local intersection conditions force global conclusions. Colorful, fractional, and quantitative forms of Helly’s theorem.
17 papers
Topological combinatorics
Using topology to organize combinatorial choices: Borsuk–Ulam and KKM theorems, selection structures, and configuration spaces.
15 papersStudents & mentoring
Starting in
discrete geometry.
Research with undergraduates, the New York Discrete Mathematics REU, and notes for students beginning to explore combinatorial geometry.
Discrete geometry in NYC
Information about the Baruch College discrete mathematics group, seminars, and our Research Experience for Undergraduates program.
Visit the group website ↗Upcoming
2026-11-21 — 2026-11-22
Binghamton University