Alexandru Ghitza is an Associate Professor in Pure Mathematics within the School of Mathematics and Statistics at the University of Melbourne. He earned his Bachelor's degree from McGill University and his PhD from the Massachusetts Institute of Technology in 2003. His research specializes in arithmetic algebraic geometry, at the intersection of number theory and algebraic geometry. Specific interests include automorphic forms, computational number theory, Galois representations, and Shimura varieties. As a key member of the Number Theory Group at the University of Melbourne, he coordinates the Number Theory seminar alongside Chenyan Wu. Ghitza also serves as president of Number Theory Down Under, fostering collaboration in the regional number theory community. He has received funding from the Australian Research Council to support his research.

Ghitza's scholarly contributions are evidenced by numerous publications in leading journals. Recent works include 'The non-existence of some Galois representations of moderate degree in small characteristic' (preprint, August 2025, with T. Yamauchi), 'Automorphy of mod 2 Galois representations associated to certain genus 2 curves over totally real fields' (Journal de Théorie des Nombres de Bordeaux, 2024, with T. Yamauchi), 'Elementary symmetric functions and deep power-sum congruences' (Integers, 2024, with S. Anni and A. Medvedovsky), 'Effective computation of Kurihara numbers' (RIMS Kôkûyroku Bessatsu B86, 2021), and 'Differential operators mod p: analytic continuation and consequences' (Algebra and Number Theory, 2021, with E. Eischen, M. Flander, E. Mantovan, and A. McAndrew). Earlier publications feature 'Some modular abelian surfaces' (Mathematics of Computation, 2020, with F. Calegari and S. Chidambaram) and experimental evidence supporting Maeda's conjecture on modular forms (with A. McAndrew, 2012). Ghitza has supervised PhD students, including those working on Galois representations and isogeny graphs. He co-organized the 2020 Number Theory Down Under meeting with Chenyan Wu and co-taught a short course on Galois representations and modular forms at the Introduction to SAGA research school in Luminy in 2023 with Anna Medvedovsky. His computational approaches have advanced understanding in modular forms and Galois representations.

Professional Email: aghitza@unimelb.edu.au