Enric Ventura

Research interests

My research area in mathematics is

combinatorial, geometric, algorithmic, and asymptotic group theory.

Within this area, I am mainly (but not only) interested in the following research topics:

• free groups,
• automorphisms of free groups and their fixed points,
• the lattice of subgroups of a free group via graphs and automata,
• groups somehow related to free groups (like free-by-cyclic, free-by-free, etc),
• algorithmic problems about groups (with the study of their complexity),
• solvability and unsolvability of the word, conjugacy and related problems in finitely presented groups,
• computational complexity of algorithms: worst case, average case and generic case complexities, 
• generic and asymptotic properties of groups,
• cryptography using groups. 

© Enric Ventura Capell, 1999

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