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alex ghitza alex ghitza publications seminar students teaching misc consultation tue 1 2pm wed 2 3pm fri 1 2pm in peter hall 166 mailing address alex ghitza school of mathematics and statistics the university of melbourne parkville vic 3010 australia 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 at the university of melbourne and president 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 d gupta m kortge the solvability of the inverse volcano problem over non prime finite fields preprint april 2026 33 pages a ghitza t yamauchi the non existence of some galois representations of moderate degree in small characteristic preprint august 2025 20 pages a ghitza 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 36 no 2 2024 637 660 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 2026s1 mast20026 real analysis 2026s2 mast30035 number theory and cryptography 2026 alexandru ghitza