Research interests:

Nonlinear algebra, probabilistic methods in commutative algebra, algebraic statistics, computational algebra, statistical network modeling, combinatorics

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Publications & preprints:

Wilf's conjecture in fixed multiplicity.
Winfried Bruns, Pedro García-Sánchez, Christopher O'Neill, Dane Wilburne.
Submitted, (2019).
Supplementary material: Custom Normaliz build

Random Monomial Ideals Macaulay2 Package.
Sonja Petrović, Despina Stasi, Dane Wilburne.
Journal of Software for Algebra and Geometry, to appear.
Supplementary material: M2 source code on GitHub

Random numerical semigroups and a simplicial complex of irreducible numerical semigroups.
Jesús A. De Loera, Christopher O'Neill, Dane Wilburne.
Electronic Journal of Combinatorics, Vol. 25, No. 4 (2018).
Supplementary material: Coefficients of the polynomial hn(x)

Random monomial ideals.
Jesús A. De Loera, Sonja Petrović, Lily Silverstein, Despina Stasi, Dane Wilburne.
Journal of Algebra, Vol. 519 (2019), 440-473.

Exact tests for stochastic block models.
Vishesh Karwa, Debdeep Pati, Sonja Petrović, Liam Solus, Nikita Alexeev, Mateja Raič, Dane Wilburne, Robert Williams, Bowei Yan.
Submitted, (2016).

On the geometry and extremal properties of the edge-degeneracy model.
Nicolas Kim*, Dane Wilburne*, Sonja Petrović, Alessandro Rinaldo.
MNG 2016: The Third SDM Workshop on Mining Networks and Graphs: A Big Data Analytic Challenge, (2016).

Statistical models for cores decomposition of an undirected random graph.
Vishesh Karwa, Michael J. Pelsmajer, Sonja Petrović, Despina Stasi, Dane Wilburne.
Electronic Journal of Statistics, Vol. 11, No. 1 (2017), 1949-1982.
Supplementary material: R code on GitHub

* Indicates lead authors