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20052025
most citedThe Euler multiplicity and addition-deletion theorems for multiarrangements

26 citations · 50 across the 15 of their papers we have counts for

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math.CO2025

Chain characteristic polynomials of matroids

Gary Lazzaro, Max Wakefield, Jason Weiss

In this note we introduce a family of polynomials on a matroid derived from chain Tutte polynomials which generalize the classic and ubiquitous characteristic polynomial. We show t…

math.CO2023

Chain Tutte polynomials

Max Wakefield

The Tutte polynomial and Derksen's -invariant are the universal deletion-contraction and valuative matroid and polymatroid invariants, respectively. There are only a h…

math.CO2022

A non-associative incidence near-ring with a generalized Möbius function

John Johnson, Max Wakefield

There is a convolution product on 3-variable partial flag functions of a locally finite poset that produces a generalized Möbius function. Under the product this generalized Möbius…

math.CO2018

Derivation degree sequences of non-free arrangements

Max Wakefield

In this note we study the logarithmic derivation module of a non-free arrangement. We prove a generalized addition theorem for all arrangements. This addition theorem allows us to…

math.CO2016★ 8 cited

A user's guide to the topological Tverberg conjecture

A. Skopenkov

The topological Tverberg conjecture was considered a central unsolved problem of topological combinatorics. The conjecture asserts that for any integers and any continuous…

math.CO2015

Intersection cohomology of the symmetric reciprocal plane

Nicholas Proudfoot, Max Wakefield, Benjamin Young

We compute the Kazhdan-Lusztig polynomial of the uniform matroid of rank n-1 on n elements by proving that the i-th coefficient of is equal to the number of ways to choose i non-in…