About

I am an associate professor in Pure Mathematics at the University of Melbourne, in Australia. My research is in arithmetic algebraic geometry, an area at the intersection of number theory and algebraic geometry. I am also keenly interested in computational aspects of both number theory and algebraic geometry.

I am part of the Number Theory Group, and secretary of Number Theory Down Under.

Anna Medvedovsky and I taught a short course on Galois representations and modular forms at the Introduction to SAGA research school at Luminy in early 2023.

Chenyan Wu and I organised the 2020 Number Theory Down Under meeting.

Recent publications (more)

• A. Ghitza, T. Yamauchi: Automorphy of mod 2 Galois representations associated to certain genus 2 curves over totally real fields, 17 pages, to appear in the Journal de Théorie des Nombres de Bordeaux.
• S. Anni, A. Ghitza, A. Medvedovsky: Elementary symmetric functions and deep power-sum congruences, Integers 24 (2024), Paper No. A46, 26 pp.
• A. Ghitza: Effective computation of Kurihara numbers, Appendix to Indivisibility of Kato's Euler systems and Kurihara numbers by Chan-Ho Kim, in Proceedings of the workshop Algebraic Number Theory and Related Topics 2018, RIMS Kôkûyroku Bessatsu B86 (2021), 63-86.
• E. Eischen, M. Flander, A. Ghitza, E. Mantovan, A. McAndrew: Differential operators mod p: analytic continuation and consequences, Algebra and Number Theory 15, no. 6 (2021), 1469-1504.
• F. Calegari, S. Chidambaram, A. Ghitza: Some modular abelian surfaces, Mathematics of Computation 89, no. 321 (2020), 387-394.

Current teaching (more)

• 2024 MAST30026 Metric and Hilbert Spaces
• 2024 MAST10008 Accelerated Mathematics 1 (link to Canvas page, login required)