2023
Kontogeorgis, Aristides and Terezakis, Alexios
A new obstruction to the local lifting problem
(2023),
Kontogeorgis, Aristides and Terezakis, Alexios
On the lifting problem of representations of a metacyclic group
(2023),
2022
Kontogeorgis, Aristides and Terezakis, Alexios
The canonical ideal and the deformation theory of curves with automorphisms
(2022),
2018
Kontogeorgis, Aristides and Paramantzoglou, Panagiotis
Actions on Symmetric curves from the Arithmetic Topology viewpoint
(2018),
2016
Kato, Fumiharu and Kontogeorgis, Aristides
On the Galois-module structure of polydifferentials of Artin-Schreier-Mumford curves, modular and integral representation theory
(2016), pg. 25
2022
Charalambous, Hara and Karagiannis, Kostas and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
The equivariant Hilbert series of the canonical ring of Fermat curves
(2022), vol. 33, pg. 1071-1101
Charalambous, Hara and Karagiannis, Kostas and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers
Advances in Geometry (2022),
Kontogeorgis, A. and Petroulakis, G.
Biduality and reflexivity in positive characteristic
Communications in Algebra (2022), vol. 50, pg. 3899--3931
Kontogeorgis, A. and Lambropoulou, S.
Framed Thompson Groups
Journal of Knot Theory and Its Ramifications (accepted) (2022),
Charalambous, Hara and Karagiannis, Kostas and Kontogeorgis, Aristides
The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of curves
Annales de l'institut Fourier (accepted) (2022), pg. 20
2021
Kontogeorgis, Aristides and Terezakis, Alexios and Tsouknidas, Ioannis
Automorphisms and the canonical ideal
Mediterranean Journal of Mathematics (2021), vol. 18, pg. Paper No. 261, 15
Antoniadis, Jannis and Kontogeorgis, Aristides
The group of automorphisms of the {H}eisenberg curve
(2021), vol. 767, pg. 25--39
Kontogeorgis, Aristides and Tsouknidas, Ioannis
A generating set for the canonical ideal of {HKG}-curves
Research in Number Theory (2021), vol. 7, pg. Paper No. 4, 16
Kontogeorgis, Aristides and Ward, Jacob Kenneth
Arithmetic actions on cyclotomic function fields
Journal of Pure and Applied Algebra (2021), vol. 225, pg. 106478, 26
Chlouveraki, Maria and Goundaroulis, Dimos and Kontogeorgis, Aristides and Lambropoulou, Sofia
A generalized skein relation for Khovanov homology and a categorification of the \(θ\)-invariant
Proceedings of the Royal Society of Edinburgh Section A: Mathematics (accepted) (2021), pg. 21
Kontogeorgis, Aristides and Paramantzoglou, Panagiotis
A non-commutative differential module approach to Alexander modules
Forum Mathematicum (2021), vol. 33, pg. 427--434
2020
Bleher, Frauke M. and Chinburg, Ted and Kontogeorgis, Aristides
Galois structure of the holomorphic differentials of curves
Journal of Number Theory (2020), vol. 216, pg. 1--68
Kontogeorgis, Aristides and Tsouknidas, Ioannis
A cohomological treatise of HKG-covers with applications to the Nottingham group
Journal of Algebra (2020), vol. 555, pg. 325--345
Kontogeorgis, Aristides and Paramantzoglou, Panagiotis
Galois action on homology of generalized Fermat Curves
The Quarterly Journal of Mathematics (2020), vol. 71, pg. 1377-1417
2019
Kontogeorgis, Aristides and Paramantzoglou, Panagiotis
Group Actions on cyclic covers of the projective line
Geometriae Dedicata (2019), pg. 20
Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Automorphisms of curves and Weierstrass semigroups for Harbater-Katz-Gabber covers.
Transactions of the American Mathematical Society (2019), vol. 371, pg. 6377--6402
2018
Αντωνιάδης, I. and Κοντογεώργης, A.
Αριθμητική Γεωμετρία, Ιστορία Επιτευγματα και Μέλλον
(2018), pg. 12
2017
Goundaroulis, Dimos and Juyumaya, Jesus and Kontogeorgis, Aristides and Lambropoulou, Sofia
Framization of the Temperley-Lieb Algebra
Mathematical Research Letters (2017), vol. 24 no. 2, pg. 299-345
Hidalgo, Ruben A. and Kontogeorgis, Aristides and Leyton-Alvarez, Maximiliano and Paramantzoglou, Panagiotis
Automorphisms of generalized Fermat curves
Journal of Pure and Applied Algebra (2017), vol. 221, pg. 2312--2337
2016
Cornelissen, Gunther and Kontogeorgis, Aristides
Distances in spaces of physical models: partition functions versus spectra
Letters in Mathematical Physics (2016), pg. 15
2014
Goundaroulis, Demos and Juyumaya, Jesus and Kontogeorgis, Aristides and Lambropoulou, Sofia
The Yokonuma-Temperley-Lieb Algebra
Banach Center Publications (2014), vol. 103, pg. 24
Kontogeorgis, Aristides
Constructing class invariants
Mathematics of Computation (2014), vol. 83, pg. 1477--1488
Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Integral representations of cyclic groups acting on relative holomorphic differentials of deformations of curves with automorphisms
Proceedings of the American Mathematical Society (2014), vol. 142, pg. 2369--2383
2013
Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Representation of cyclic groups in positive characteristic and Weierstrass semigroups
Journal of Number Theory (2013), vol. 133, pg. 158--175
Bars, Francesc and Kontogeorgis, Aristides and Xarles, Xavier
Bielliptic and Hyperelliptic Modular curves \(X(N)\) and the group \(\mathrm{Aut}(X(N))\).
Acta Arithmetica (2013), vol. 161, pg.
2012
Chan, Heng Huat and Konstantinou, Elisavet and Kontogeorgis, Aristides and Tan, Chik How
What is your ``birthday elliptic curves''?"
Finite Fields and Their Applications (2012), vol. 180, pg. 1232--1241
Konstantinou, Elisavet and Kontogeorgis, Aristides
Ramanujan invariants for discriminants congruent to \(5\pmod{24}\)
International Journal of Number Theory (2012), vol. 8, pg. 265--287
Koeck, Benrhard and Kontogeorgis, Aristides
Quadratic Differentials and Equivariant Deformation Theory of Curves
Annales de L'institut Fourier (2012), vol. 62, pg. 1015--1043
2011
Konstantinou, Elisavet and Kontogeorgis, Aristides
Some remarks on the construction of class polynomials
Advances in Mathematics of Communications (2011), vol. 5, pg. 109--118
2010
Konstantinou, Elisavet and Kontogeorgis, Aristides and Stamatiou, Yannis C. and Zaroliagis, Christos
On the efficient generation of prime-order elliptic curves
Journal of Cryptology. The Journal of the International Association for Cryptologic Research (2010), vol. 23, pg. 477--503
Cornelissen, Gunther and Kato, Fumiharu and Kontogeorgis, Aristides
The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves
Israel Journal of Mathematics (2010), vol. 180, pg. 345--370
Chan, Heng Huat and Kontogeorgis, Aristides and Krattenthaler, Christian and Osburn, Robert
Supercongruences satisfied by coefficients of \({}_2F_1\) hypergeometric series
Annales des Sciences Mathematiques du Quebec (2010), vol. 34, pg. 25--36
Kontogeorgis, Aristides and Yang, Yifan
Automorphisms of hyperelliptic modular curves \(X_0(N)\) in positive characteristic
LMS Journal of Computation and Mathematics (2010), vol. 13, pg. 144--163
Konstantinou, Elisavet and Kontogeorgis, Aristides
Ramanujan's class invariants and their use in elliptic curve cryptography
Computers & Mathematics with Applications. An International Journal (2010), vol. 59, pg. 2901--2917
Cornelissen, Gunther and Kontogeorgis, Aristides and van der Zalm, Lotte
Arithmetic equivalence for function fields, the Goss zeta function and a generalisation
Journal of Number Theory (2010), vol. 130, pg. 1000--1012
2009
Konstantinou, Elisavet and Kontogeorgis, Aristides
Computing polynomials of the Ramanujan {\(t_n\)} class invariants
Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques (2009), vol. 52, pg. 583--597
Kontogeorgis, Aristides
Field of moduli versus field of definition for cyclic covers of the projective line
Journal de Theorie des Nombres de Bordeaux (2009), vol. 21, pg. 679--692
2008
Kontogeorgis, Aristides and Rotger, Victor
On the non-existence of exceptional automorphisms on Shimura curves
Bulletin of the London Mathematical Society (2008), vol. 40, pg. 363--374
Kontogeorgis, Aristides and Rotger, Victor
On abelian automorphism groups of Mumford curves
Bulletin of the London Mathematical Society (2008), vol. 40, pg. 353--362
Kontogeorgis, A.
Actions of Galois groups on invariants of number fields
Journal of Number Theory (2008), vol. 128, pg. 1587--1601
Kontogeorgis, A.
The ramification sequence for a fixed point of an automorphism of a curve and the Weierstrass gap sequence
Mathematische Zeitschrift (2008), vol. 259, pg. 471--479
2007
Kontogeorgis, Aristides
On the tangent space of the deformation functor of curves with automorphisms
Algebra & Number Theory (2007), vol. 1, pg. 119--161
Kontogeorgis, A.
Polydifferentials and the deformation functor of curves with automorphisms
Journal of Pure and Applied Algebra (2007), vol. 210, pg. 551--558
2006
Antoniadis, Jannis A. and Kontogeorgis, Aristides
On cyclic covers of the projective line
Manuscripta Mathematica (2006), vol. 121, pg. 105--130
2002
Kontogeorgis, Aristides
Automorphisms of Fermat-like varieties
Manuscripta Mathematica (2002), vol. 107, pg. 187--205
2001
Cornelissen, Gunther and Kato, Fumiharu and Kontogeorgis, Aristides
Discontinuous groups in positive characteristic and automorphisms of Mumford curves
Mathematische Annalen (2001), vol. 320, pg. 55--85
1999
Kontogeorgis, Aristides
The group of automorphisms of cyclic extensions of rational function fields
Journal of Algebra (1999), vol. 216, pg. 665--706
1998
Kontogeorgis, Aristides I.
The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\)
Journal of Number Theory (1998), vol. 72, pg. 110--136
2022
Charalambous, Hara and Karagiannis, Kostas and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Computational Aspects of Equivariant Hilbert Series of Canonical Rings for Algebraic Curves
(2022), pg. 83--102
2020
Charalambous, Hara and Karagiannis, Kostas and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Syzygies of ideals of polynomial rings over principal ideal domains
(2020), pg. 78--82
2017
2015
Konstantinou, Elisavet and Kontogeorgis, Aristides
Revisiting the Complex Multiplication Method for the Construction of Elliptic Curves
(2015),
2005
Konstantinou, Elisavet and Kontogeorgis, Aristides and Stamatiou, Yannis C. and Zaroliagis, Christos
Generating prime order elliptic curves: difficulties and efficiency considerations
(2005), vol. 3506, pg. 261--278
1998
1994
Kontogeorgis, Aristides
Ημιευσταθείς Ελλειπτικές Καμπύλες και το τελευταίο Θεώρημα του Fermat. Εργασία για την απόκτηση μεταπρυχιακού διπλώματος ειδίκευσης.
(1994), vol. , pg.
2010
Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Automorphisms of Curves and Weierstrass semigroups
(2010), vol. , pg.