3 papers
math.CO2026
Topological Zeta Functions of Matroids: Operations and Computations
Dawit Mengesha, Robert Miranda, Brian Sun
The topological zeta function of a matroid is a rational function as well as a valuative invariant of the matroid, encoding rich combinatorial information. We analyze topological z…
math.CO2025
Universality of Polyhedral Linkages
Robert Miranda
Planar linkages are a rich area of study motivated by practical applications in engineering mechanisms. A central result is Kempe's Universality Theorem, which states that semi-alg…
math.MG2025
Cobordism of domes over curves
Robert Miranda
An integral curve is a closed piecewise linear curve comprised of unit intervals. A dome is a polyhedral surface whose faces are equilateral triangles and whose boundary is an inte…