Nicholas Touikan

Nicholas Touikan is Associate Professor in Mathematics and Statistics at the University of New Brunswick, specializing in geometric group theory. His research examines groups as geometric objects, focusing on computational problems in infinite discrete groups exhibiting large-scale curvature properties.

Primary investigations develop algorithms for group-theoretic problems using geometric insights from hyperbolic and negatively curved groups. Complementary research applies low-dimensional topology techniques to analyze group structures and actions. Current projects include solving conjugacy problems for automorphism groups and developing efficient folding algorithms for virtually free groups.