V.I. Chernousov, A.S. Rapinchuk, I.A. Rapinchuk, Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups and good reduction, arxiv 

P. Abramenko, A.S. Rapinchuk, I.A. Rapinchuk, Applications of the Fixed Point Theorem for group actions on buildings to algebraic groups over polynomial rings, arxiv

A.S. Rapinchuk, I.A. Rapinchuk, The finiteness of the Tate-Shafarevich group over function fields for algebraic tori defined over the base field, arxiv

P. Corvaja, J. Demeio, A. Rapinchuk, J. Ren, U. Zannier, Purely exponential parametrizations and their group-theoretic applications, arxiv