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