One of my research interests is to generate combinatorial objects of various types.
Here are some examples:

• near-Steiner striple systems of order 12
• near-Steiner striple systems of order 14
• decompositions of the complete 3-uniform hypergraph of order 8 into Hamiltonian cycles
• cubic leaves of partial triple systems
• reaction graph of double Fano planes
• perfect one-factorizations of K₁₆
• cyclic 6-cycle systems of order 21
• 2-rotational 6-cycle systems of order 13
• maximum packings with 6-cycles
• minimum coverings by 6-cycles
• maximal partial Room squares
• Oberwolfach problem