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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…