Nikos Frantzikinakis

Nikos Frantzikinakis serves as a Professor in the Department of Applied Mathematics within the Theoretical Mathematics School at the University of Crete. His office is located in room C-307 with contact number 39-3853 and email frantzikinakis@uoc.gr.

His academic credentials include:

• Ph.D., Stanford University, 2002

Professor Frantzikinakis specializes in ergodic theory, focusing on convergence and multiple regression theorems alongside analytical methods in combinatorics and number theory. His research bridges dynamical systems with additive combinatorics, particularly investigating recurrence phenomena in multiplicative functions and polynomial sequences. He has pioneered approaches connecting Furstenberg systems to number-theoretic structures, significantly advancing understanding of multiple recurrence in non-commuting transformations and partition regularity problems.

Analysis of his recent publications reveals consistent exploration of ergodic-theoretic structures applied to combinatorial number theory. Key trends include recurrence along generalized Pythagorean triples, joint ergodicity for commuting transformations, and partition regularity of quadratic forms. His work demonstrates sophisticated integration of harmonic analysis, nilsequence theory, and multiplicative function correlations, with notable emphasis on the Chowla conjecture and Erdős discrepancy problems through ergodic frameworks.

He maintains active research within the Applied Mathematics Laboratory at the University of Crete, contributing to theoretical mathematics through both individual scholarship and collaborative academic infrastructure.