Anna Rio Doval

Anna Rio Doval is an Associate Professor in the Department of Mathematics at the Faculty of Informatics of Barcelona (FIB) at the Universitat Politècnica de Catalunya (UPC). She is a core member of the STNB (Seminari de Teoria de Nombres de Barcelona) research group, which serves as a hub for number theory research connecting UPC with Universitat de Barcelona and Universitat Autònoma de Barcelona.

She earned her Mathematics Degree and Mathematics Doctorate from UPC, establishing a long academic career focused on theoretical mathematics with practical cryptographic applications. Her educational background laid the foundation for her expertise in algebraic structures and number-theoretic methods.

Rio Doval's research spans Algebra, Number Theory, and Cryptography, with particular emphasis on Hopf-Galois theory, elliptic curves, and algebraic structures. Her work bridges abstract mathematical concepts with concrete applications in secure communications. Over her career, she has published more than 100 scholarly outputs across diverse formats including journal articles, conference presentations, books, and research projects, demonstrating remarkable productivity and sustained scholarly contribution.

Analysis of her recent publications reveals a sophisticated evolution in her research focus, moving from foundational work on Galois representations and elliptic curves to more specialized investigations of Hopf-Galois structures and brace theory. Her current work explores the intricate relationships between algebraic structures of specific sizes (np, 8p) and their implications for field extensions, with applications to both theoretical mathematics and cryptographic implementations.

While specific individual awards are not prominently documented in the available information, her sustained research productivity, leadership in the STNB research group, and consistent funding from competitive national and European research programs (including HORIZON 2020) indicate significant recognition within the mathematical community.

Professor Rio Doval has maintained extensive collaborative networks throughout her career, with particularly strong partnerships with Teresa Crespo, Montserrat Vela, and Daniel Gil. She has contributed to numerous doctoral theses (including Daniel Gil's thesis on Hopf-Galois structures), though specific student names are not comprehensively listed in the available documentation. Her research funding includes multiple competitive grants from Spain's National Research Plans and Catalan research initiatives.

As a key member of the STNB research group, she participates in a vibrant intellectual community that organizes regular seminars, workshops, and collaborative projects. The group's activities foster interdisciplinary connections between pure mathematics and applications in computer science, particularly in cryptographic implementations. Her involvement extends to educational innovation projects aimed at enhancing student engagement and integrating cutting-edge mathematical research into undergraduate and graduate curricula.