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.

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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