Alexander Moretó Quintana

Alexander Moretó Quintana is an Associate Professor in the Department of Mathematics at the Faculty of Mathematics, University of Valencia, Spain. His research focuses on finite group theory, character theory, and algebraic structures, with a strong emphasis on character degrees, conjugacy classes, and Sylow subgroups. He is a member of the CARGRUPS research group, dedicated to characters and conjugacy classes in finite groups.

• Ph.D., Universidad del País Vasco (2001)
• Thesis: Longitudes de clases de conjugación grados y ceros de caracteres de grupos finitos
• Advisor: Dr. Antonio Vera López

His research interests lie primarily in group theory and representation theory, particularly in the interplay between character degrees and group structure. He investigates problems related to character degrees, conjugacy class sizes, element orders, and Sylow subgroups in finite groups. His work often involves deep algebraic techniques and has implications for classification and structural theorems in finite group theory. He also explores connections with number theory and combinatorics through group-theoretic problems.

The most recent publications show a continued focus on character degrees, codegrees, Sylow subgroups, and vanishing elements, with recent trends emphasizing average values, multiplicities, and probabilistic aspects within finite groups. He frequently collaborates with leading algebraists such as Gabriel Navarro, Gunter Malle, and Pham Huu Tiep.

No specific scientific awards are mentioned in the provided text.

There is no information available about students advised or research grants received. However, his extensive publication record and high citation count indicate significant research activity and collaboration. He has co-authored papers with over 40 researchers, including prominent figures in group theory.

He is a member of the CARGRUPS research group at the University of Valencia, which focuses on characters and conjugacy classes in finite groups. This group supports collaborative research and contributes to the broader mathematical community through publications and academic engagement.