Dr Alex GHITZA
Senior Lecturer
School of Mathematics and Statistics
- Room: 166
- Building: Peter Hall Building
- Campus: Parkville
Research Interests
- computational number theory
- Galois representations
- Shimura varieties
- Automorphic forms
Research Groups
Recent Publications
Sam Chow, A. Ghitza. Distinguishing newforms. International Journal of Number Theory, 11, 893-908, 2015. doi: 10.1142/S1793042115500499.
A. Ghitza, R. Sayer. Hecke eigenvalues of Siegel modular forms of "different weights". 143, 125-141, Academic Press Inc Elsevier Science, 2014. doi: 10.1016/j.jnt.2014.03.009.
S. Chow, A. Ghitza. Distinguishing eigenforms modulo a prime ideal. Functiones et Approximatio Commentarii Mathematici, XLI, 363-377, 2013. doi: 10.7169/facm/2014.51.2.8.
Citro, A. Ghitza. Computing level one Hecke eigensystems (mod p). London Mathematical Society. Journal of Computation and Mathematics, 16, 246-270, 2013. doi: 10.1112/S1461157013000132.
A. Ghitza, Ryan, Sulon. Computations of vector-valued Siegel modular forms. 133, 3921-3940, Academic Press Inc Elsevier Science, 2013. doi: 10.1016/j.jnt.2013.04.024.
Current Postgraduate Supervision
| Name | Thesis title |
|---|---|
| James WITHERS | "Explicit computations of Hecke module structure of modular forms" |
Past Postgraduate Supervision
| Name | Thesis title |
|---|---|
| Natalie AISBETT | "Reflection Graphs" |
| Sam CHOW | "Sieve Methods and Primative Roots" |
| Max FLANDER | "A theta operator for vector-valued Siegel modular forms" |
| Angus MCANDREW | "Theta operators and galois representations for siegel modular forms" |
Current MSc Students
| Name | Project title |
|---|---|
| Zhehao LI | |
| Owen COLMAN |
Past MSc Students
| Name | Project title |
|---|---|
| Matt COLLINS | |
| Leon DI STEFANO | |
| Angus MCANDREW | |
| Scott MULLANE | |
| Robert SAYER | |
| Dwi Setya WIBAWANTI |
Recent Grant History
| Year(s) | Source | Type | Title |
|---|---|---|---|
| 2012 - 2014 | ARC | Discovery | Coset spaces and Hecke algebra actions |
Responsibilities
- Course advisors - Upper Undergraduate
- Exchange Student Advisor/Evaluator
Committees
- Environmental Health & Safety Committee
- IT/Web Committee
- UGS Committee