I am a senior lecturer 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 interested in computational aspects of number theory, algebraic geometry, representation theory, and other algebraic topics.

email arXiv orcid github bitbucket google scholar

**Consultation hours:** Tuesdays 1pm-2pm, Wednesdays 10:30am-11:30am, and Wednesdays 1pm-2pm in room 166, Peter Hall building, University of Melbourne

- Effective computation of Kurihara numbers (A. Ghitza), Appendix to 'Indivisibility of Kato's Euler systems and Kurihara numbers' by Chan-Ho Kim, to appear in RIMS Kokyuroku Bessatsu.
- Differential operators mod p: analytic continuation and consequences (E. Eischen,M. Flander,A. Ghitza,E. Mantovan,A. McAndrew), 29 pages.
- Analytic evaluation of Hecke eigenvalues for classical modular forms (D. Armendariz,O. Colman,N. Coloma,A. Ghitza,N. Ryan,D. Teran), 13 pages.
- Some modular abelian surfaces (F. Calegari,S. Chidambaram,A. Ghitza), Math. Comp. *89* (2020), 387-394.
- The Atkin-Lehner automorphism mod p geometrically (A. Ghitza), Appendix to 'Newforms mod p in squarefree level, with applications to Monsky's Hecke-stable filtration' by S. V. Deo and A. Medvedovsky, Trans. Amer. Math. Soc. Ser. B *6* (2019), 245-273.
- Differential operators on modular forms (mod p) (A. Ghitza), Proceedings of the workshop Analytic and Arithmetic Theory of Automorphic Forms, RIMS Kokyuroku No. 2100 (2019), 52-64.
- Analytic evaluation of Hecke eigenvalues for Siegel modular forms of degree two (O. Colman,A. Ghitza,N. Ryan), ANTS XIII, Proceedings of the 13th Algorithmic Number Theory Symposium, Open Book Series 2, no. 1 (2019), 207-220.
- Computational Mathematics with SageMath (P. Zimmermann,A. Casamayou,N. Cohen,G. Connan,T. Dumont,L. Fousse,F. Maltey,M. Meulien,M. Mezzarobba,C. Pernet,N. M. Thiéry,E. Bray,J. Cremona,M. Forets,A. Ghitza,H. Thomas), SIAM (2018), xiv+464 pages.