My research focuses on combinatorics and graph theory, and I especially enjoy collaborating with students . I find that working on research problems together is not only productive but also a lot of fun.
I am currently working on two research projects:
One in Discrete Geometry: face-vectors of a family of trivalent convex Polyhedra with Jesús De Loera and Yinuo Liang,
And the other in Group and Graph Theory: recursive construction of amoebas and their interaction with stem-symmetry and hang-symmetry with Ryan Pesak, Daniel Qin, and Jillian Eddy. This will be on ArXiv very soon!
Published Papers
De Loera, J., Ventura, D., Wang, A. & Wesley, W. (2025). Optimization Tools for Computing Colorings of $[1,\dots n]$ with Few Monochromatic Solutions on $3$-variable Linear Equations. To appear in Discrete Applied Mathematics.
Hansberg, A. & Ventura, D. (2025). Unavoidable patterns in 2-colorings of the complete bipartite graph. To appear in Discrete Applied Mathematics.
Eslava, L., Hansberg, A., Wiederhold, T. M., & Ventura, D. (2025). New recursive constructions of amoebas and their balancing number. To appear in Aequationes mathematicae. DOI 10.1007/s00010-025-01156-7
Hansberg, A., & Ventura, D. (2023). Unavoidable patterns in 2-colorings of the complete bipartite graph. Extended Abstract. Procedia Computer Science, 223, 166-174.
Dailly, A., Eslava, L., Hansberg, A., & Ventura, D. (2023). The balancing number and generalized balancing number of some graph classes. the electronic journal of combinatorics, P1-48.
Dailly, A., Hansberg, A., & Ventura, D. (2021). On the balanceability of some graph classes. Discrete Applied Mathematics, 291, 51-63.