Publications

2026

First page of Equivariant Koszul Cohomology of Canonical Curves

Karagiannis, Kostas and Kontogeorgis, Aristides and Sotiropoulou, Konstantia Manousou
Equivariant Koszul Cohomology of Canonical Curves
(2026),

pdf arXiv Details

@book{karagiannis2026equivariantkoszulcohomologycanonical,
  title = {Equivariant Koszul Cohomology of Canonical Curves},
  author = {Karagiannis, Kostas and Kontogeorgis, Aristides and Sotiropoulou, Konstantia Manousou},
  year = {2026},
  eprint = {2512.19894},
  arxivid = {2512.19894},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/2512.19894},
  file = {2512.19894v2}
}

Details

2025

First page of On cyclic groups covers of the projective line

Katsimprakis, George and Kontogeorgis, Aristides
On cyclic groups covers of the projective line
(2025),

pdf Details

@book{katsimprakis2025cyclicgroupscoversprojective,
  title = {On cyclic groups covers of the projective line},
  author = {Katsimprakis, George and Kontogeorgis, Aristides},
  year = {2025},
  eprint = {2502.00732},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/2502.00732},
  file = {Katsi2502.00732v1}
}

Details

First page of Equivariant recollements and singular equivalences

Karakikes, Miltiadis and Kontogeorgis, Aristeides and Psaroudakis, Chrysostomos
Equivariant recollements and singular equivalences
(2025),

pdf arXiv Details

@book{karakikes2025equivariantrecollementssingularequivalences,
  title = {Equivariant recollements and singular equivalences},
  author = {Karakikes, Miltiadis and Kontogeorgis, Aristeides and Psaroudakis, Chrysostomos},
  year = {2025},
  eprint = {2504.07620},
  arxivid = {2504.07620},
  archiveprefix = {arXiv},
  primaryclass = {math.RT},
  url = {https://arxiv.org/abs/2504.07620},
  file = {2504.07620v2}
}

Details

First page of An Arithmetic Topology viewpoint on Descent theory and Equivariant Categories

Karakikes, Miltiadis and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides and Noulas, Dimitrios
An Arithmetic Topology viewpoint on Descent theory and Equivariant Categories
(2025),

pdf arXiv Details

@book{karakikes2025arithmetictopologyviewpointdescent,
  title = {An Arithmetic Topology viewpoint on Descent theory and Equivariant Categories},
  author = {Karakikes, Miltiadis and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides and Noulas, Dimitrios},
  year = {2025},
  eprint = {2512.20551},
  arxivid = {2512.20551},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/2512.20551},
  file = {2512.20551v1}
}

Details

First page of On the de Rham cohomology of cyclic covers

Kontogeorgis, Aristides and Lygdas, Orestis
On the de Rham cohomology of cyclic covers
(2025),

pdf arXiv Details

@book{kontogeorgis2025rhamcohomologycycliccovers,
  title = {On the de Rham cohomology of cyclic covers},
  author = {Kontogeorgis, Aristides and Lygdas, Orestis},
  year = {2025},
  eprint = {2511.19696},
  arxivid = {2511.19696},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/2511.19696},
  file = {2511.19696v1}
}

Details

Details
Details
$The de Rham cohomology of covers with a cyclic $p$-Sylow subgroup$ Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
$A generalized skein relation for Khovanov homology and a categorification of the $θ$-invariant$ Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
$Bielliptic and Hyperelliptic Modular curves $X(N)$ and the group $\mathrm{Aut}(X(N))$.$ Details
$Ramanujan invariants for discriminants congruent to $5\pmod{24}$$ Details
Details
Details
Details
$Supercongruences satisfied by coefficients of ${}_2F_1$ hypergeometric series$ Details
Details
Details
$Automorphisms of hyperelliptic modular curves $X_0(N)$ in positive characteristic$ Details
Details
Details
Details
$Computing polynomials of the Ramanujan $t_n$-class invariants$ Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
Details
$The group of automorphisms of the function fields of the curve $x^n+y^m+1=0$$ Details

2026

First page of On the Galois-module structure of polydifferentials of Subrao curves

Kontogeorgis, Aristides and Stergiopoulou, Dimitra-Dionysia
On the Galois-module structure of polydifferentials of Subrao curves
Algebras and Representation Theory (2026),

pdf doi arXiv Details

@article{kontogeorgis2025galoismodulestructurepolydifferentialsartinschreiermumford,
  title = {On the Galois-module structure of polydifferentials of Subrao curves},
  author = {Kontogeorgis, Aristides and Stergiopoulou, Dimitra-Dionysia},
  year = {2026},
  fjournal = {Algebras and Representation Theory},
  journal = {Algebr. Represent. Theory},
  doi = {10.1007/s10468-026-10409-1},
  eprint = {1305.1541},
  arxivid = {1305.1541},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://doi.org/10.1007/s10468-026-10409-1},
  file = {AlgRepTheory2026}
}

Details

First page of Galois Action on Homology of the Heisenberg Curve

Kontogeorgis, Aristides and Noulas, Dimitrios
Galois Action on Homology of the Heisenberg Curve
Transformation Groups (accepted) (2026),

pdf arXiv Details

@article{kontogeorgis2024galoisactionhomologyheisenberg,
  title = {Galois Action on Homology of the Heisenberg Curve},
  author = {Kontogeorgis, Aristides and Noulas, Dimitrios},
  year = {2026},
  fjournal = {Transformation Groups (accepted)},
  eprint = {2411.11140},
  arxivid = {2411.11140},
  archiveprefix = {arXiv},
  primaryclass = {math.NT},
  url = {https://arxiv.org/abs/2411.11140},
  file = {TransformationGroups2026}
}

Details

$First page of The de Rham cohomology of covers with a cyclic $p$-Sylow subgroup$

Garnek, Jędrzej and Kontogeorgis, Aristides
The de Rham cohomology of covers with a cyclic $p$-Sylow subgroup
Journal of Algebra (2026), vol. 687, pg. 151–178

pdf doi arXiv Details

@article{garnek2025rhamcohomologycoverscyclic,
  title = {The de Rham cohomology of covers with a cyclic \(p\)-Sylow subgroup},
  author = {Garnek, Jędrzej and Kontogeorgis, Aristides},
  year = {2026},
  fjournal = {Journal of Algebra},
  journal = {J. Algebra},
  volume = {687},
  pages = {151--178},
  doi = {10.1016/j.jalgebra.2025.08.032},
  issn = {0021-8693},
  eprint = {2504.01499},
  arxivid = {2504.01499},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/2504.01499},
  file = {JAlgebra2026}
}

Details

2025

Kontogeorgis, Aristides and Lambropoulou, Sofia
Framed Thompson groups
Journal of Knot Theory and its Ramifications (2025), vol. 34, pg. Paper No. 2340013

pdf MRreview doi Details

@article{Thompson,
  author = {Kontogeorgis, Aristides and Lambropoulou, Sofia},
  title = {Framed Thompson groups},
  journal = {J. Knot Theory Ramifications},
  fjournal = {Journal of Knot Theory and its Ramifications},
  volume = {34},
  year = {2025},
  number = {3},
  pages = {Paper No. 2340013},
  issn = {0218-2165,1793-6527},
  mrclass = {57M07 (20F36 20F38 22D10 57K10)},
  mrnumber = {4886159},
  doi = {10.1142/S0218216523400138},
  url = {https://doi.org/10.1142/S0218216523400138},
  file = {S0218216523400138}
}

Details

First page of An obstruction to the local lifting problem

Kontogeorgis, Aristides and Terezakis, Alexios
An obstruction to the local lifting problem
Annales scientifiques de l'Ecole normale supérieure (accepted) (2025),

pdf Details

@article{kontogeorgis2023newobstructionlocallifting,
  title = {An obstruction to the local lifting problem},
  author = {Kontogeorgis, Aristides and Terezakis, Alexios},
  year = {2025},
  eprint = {2304.08377},
  fjournal = {Annales scientifiques de l'Ecole normale supérieure (accepted)},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/2304.08377},
  file = {Arxiv22May2025}
}

Details

First page of The canonical ideal and the deformation theory of curves with automorphisms

Kontogeorgis, Aristides and Terezakis, Alexios
The canonical ideal and the deformation theory of curves with automorphisms
J. Pure Applied Algebra (Accepted) (2025),

pdf Details

@article{kontogeorgis2025canonicalidealdeformationtheory,
  title = {The canonical ideal and the deformation theory of curves with automorphisms},
  author = {Kontogeorgis, Aristides and Terezakis, Alexios},
  year = {2025},
  eprint = {2101.11084 v6},
  archiveprefix = {arXiv},
  fjournal = {J. Pure Applied Algebra (Accepted)},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/2101.11084},
  file = {May2025}
}

Details

2024

First page of On the lifting problem of representations of a metacyclic
group

Kontogeorgis, Aristides and Terezakis, Alexios
On the lifting problem of representations of a metacyclic group
Journal of Algebra (2024), vol. 659, pg. 745–779

pdf MRreview doi Details

@article{MR4779377,
  author = {Kontogeorgis, Aristides and Terezakis, Alexios},
  title = {On the lifting problem of representations of a metacyclic
                group},
  journal = {J. Algebra},
  fjournal = {Journal of Algebra},
  volume = {659},
  year = {2024},
  pages = {745--779},
  issn = {0021-8693,1090-266X},
  mrclass = {20C20 (14H37 20C10)},
  mrnumber = {4779377},
  doi = {10.1016/j.jalgebra.2024.07.003},
  url = {https://doi.org/10.1016/j.jalgebra.2024.07.003},
  file = {1-s2.0-S0021869324003776-main}
}

Details

2022

First page of The equivariant Hilbert series of the canonical ring of Fermat curves

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

pdf doi Details

@article{CHARALAMBOUS2022,
  title = {The equivariant Hilbert series of the canonical ring of Fermat curves},
  journal = {Indagationes Mathematicae},
  volume = {33},
  number = {5},
  pages = {1071-1101},
  year = {2022},
  issn = {0019-3577},
  doi = {https://doi.org/10.1016/j.indag.2022.06.001},
  url = {https://www.sciencedirect.com/science/article/pii/S0019357722000489},
  author = {Charalambous, Hara and Karagiannis, Kostas and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides},
  keywords = {Hilbert series, Equivariant, Canonical ring, Group action, Curves, Automorphisms, Holomorphic differentials},
  file = {Indagationes}
}

Details

First page of Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers

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),

pdf Details

@article{advGeom,
  journal = {Advances in Geometry},
  fjournal = {Advances in Geometry},
  author = {Charalambous, Hara and Karagiannis, Kostas and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides},
  year = {2022},
  file = {advgeom2022},
  title = {Weierstrass semigroups for maximal curves realizable as Harbater–Katz–Gabber covers
  }
}

Details

First page of Biduality and reflexivity in positive characteristic

Kontogeorgis, A. and Petroulakis, G.
Biduality and reflexivity in positive characteristic
Communications in Algebra (2022), vol. 50, pg. 3899–3931

pdf MRreview doi Details

@article{171103769,
  author = {Kontogeorgis, A. and Petroulakis, G.},
  title = {Biduality and reflexivity in positive characteristic},
  journal = {Comm. Algebra},
  fjournal = {Communications in Algebra},
  volume = {50},
  year = {2022},
  number = {9},
  pages = {3899--3931},
  issn = {0092-7872},
  mrclass = {14G17 (14N05)},
  mrnumber = {4442479},
  doi = {10.1080/00927872.2022.2049283},
  url = {https://doi.org/10.1080/00927872.2022.2049283},
  file = {CommAlgebra2022}
}

Details

First page of The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of curves

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

pdf arXiv Details

@article{190505545,
  author = {Charalambous, Hara and Karagiannis, Kostas and Kontogeorgis, Aristides},
  title = {The Relative Canonical Ideal of the Artin-Schreier-Kummer-Witt family of curves},
  year = {2022},
  arxivid = {1905.05545},
  file = {Fourier2022},
  pages = {20},
  url = {http://arxiv.org/abs/1905.05545},
  journal = {Annales de l'institut Fourier (accepted)},
  fjournal = {Annales de l'institut Fourier (accepted)}
}

Details

2021

First page of Arithmetic actions on cyclotomic function fields

Kontogeorgis, Aristides and Ward, Jacob Kenneth
Arithmetic actions on cyclotomic function fields
Journal of Pure and Applied Algebra (2021), vol. 225, pg. 106478, 26

pdf MRreview doi Details

@article{Kontogeorgis2018-du,
  author = {Kontogeorgis, Aristides and Ward, Jacob Kenneth},
  title = {Arithmetic actions on cyclotomic function fields},
  journal = {J. Pure Appl. Algebra},
  fjournal = {Journal of Pure and Applied Algebra},
  volume = {225},
  year = {2021},
  number = {1},
  pages = {106478, 26},
  issn = {0022-4049},
  mrclass = {11R60 (11G09 11R58 13N05 14H37 14H55)},
  mrnumber = {4116821},
  doi = {10.1016/j.jpaa.2020.106478},
  url = {https://doi.org/10.1016/j.jpaa.2020.106478},
  file = {Ward}
}

Details

First page of Automorphisms and the canonical ideal

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

pdf MRreview doi Details

@article{190910282,
  author = {Kontogeorgis, Aristides and Terezakis, Alexios and Tsouknidas, Ioannis},
  title = {Automorphisms and the canonical ideal},
  journal = {Mediterr. J. Math.},
  fjournal = {Mediterranean Journal of Mathematics},
  volume = {18},
  year = {2021},
  number = {6},
  pages = {Paper No. 261, 15},
  issn = {1660-5446},
  mrclass = {14H37 (13D02)},
  mrnumber = {4333646},
  doi = {10.1007/s00009-021-01878-3},
  url = {https://doi.org/10.1007/s00009-021-01878-3},
  file = {190910282}
}

Details

First page of A non-commutative differential module approach to Alexander
modules

Kontogeorgis, Aristides and Paramantzoglou, Panagiotis
A non-commutative differential module approach to Alexander modules
Forum Mathematicum (2021), vol. 33, pg. 427–434

pdf MRreview doi Details

@article{MR4223071,
  author = {Kontogeorgis, Aristides and Paramantzoglou, Panagiotis},
  title = {A non-commutative differential module approach to Alexander
                modules},
  journal = {Forum Math.},
  fjournal = {Forum Mathematicum},
  volume = {33},
  year = {2021},
  number = {2},
  pages = {427--434},
  issn = {0933-7741},
  mrclass = {57M12 (13N05 14H30 20F34)},
  mrnumber = {4223071},
  doi = {10.1515/forum-2020-0224},
  url = {https://doi.org/10.1515/forum-2020-0224},
  file = {ForumParam}
}

Details

$First page of A generalized skein relation for Khovanov homology and a categorification of the $θ$-invariant$

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

pdf arXiv Details

@article{190407794,
  abstrct = {The Jones polynomial is a famous link invariant that can be defined diagrammatically via a skein relation. Khovanov homology is a richer link invariant that categorifies the
  Jones polynomial. Using spectral sequences, we obtain a skein-type relation satisfied by the
  Khovanov homology. Thanks to this relation, we are able to generalize the Khovanov homology
  in order to obtain a categorification of the θ-invariant, which is itself a generalization of the
  Jones polynomial.},
  author = {Chlouveraki, Maria and Goundaroulis, Dimos and Kontogeorgis, Aristides and Lambropoulou, Sofia},
  title = {A generalized skein relation for Khovanov homology and a categorification of the \(θ\)-invariant},
  year = {2021},
  arxivid = {1904.07794},
  file = {GeneralizedSkein},
  pages = {21},
  url = {http://arxiv.org/abs/1904.07794},
  journal = {Proceedings of the Royal Society of Edinburgh Section A: Mathematics (accepted)},
  fjournal = {Proceedings of the Royal Society of Edinburgh Section A: Mathematics (accepted)}
}

Details

First page of The group of automorphisms of the Heisenberg curve

Antoniadis, Jannis and Kontogeorgis, Aristides
The group of automorphisms of the Heisenberg curve
(2021), vol. 767, pg. 25–39

pdf MRreview doi Details

@article{Heise,
  author = {Antoniadis, Jannis and Kontogeorgis, Aristides},
  title = {The group of automorphisms of the Heisenberg curve},
  booktitle = {Abelian varieties and number theory},
  series = {Contemp. Math.},
  volume = {767},
  pages = {25--39},
  publisher = {Amer. Math. Soc., [Providence], RI},
  year = {2021},
  mrclass = {14H37},
  mrnumber = {4252293},
  doi = {10.1090/conm/767/15395},
  url = {https://doi.org/10.1090/conm/767/15395},
  file = {Heisenberg14Nov2019}
}

Details

First page of A generating set for the canonical ideal of HKG-curves

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

pdf MRreview doi Details

@article{2010.03304,
  author = {Kontogeorgis, Aristides and Tsouknidas, Ioannis},
  title = {A generating set for the canonical ideal of HKG-curves},
  journal = {Res. Number Theory},
  fjournal = {Research in Number Theory},
  volume = {7},
  year = {2021},
  number = {1},
  pages = {Paper No. 4, 16},
  issn = {2522-0160},
  mrclass = {14H55},
  mrnumber = {4194180},
  doi = {10.1007/s40993-020-00230-0},
  url = {https://doi.org/10.1007/s40993-020-00230-0},
  file = {kontogeorgis2021}
}

Details

2020

First page of Galois structure of the holomorphic differentials of curves

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

pdf MRreview doi Details

@article{BCK,
  author = {Bleher, Frauke M. and Chinburg, Ted and Kontogeorgis, Aristides},
  title = {Galois structure of the holomorphic differentials of curves},
  journal = {J. Number Theory},
  fjournal = {Journal of Number Theory},
  volume = {216},
  year = {2020},
  pages = {1--68},
  issn = {0022-314X},
  mrclass = {14G17 (11G20 14H05 20C20)},
  mrnumber = {4130074},
  doi = {10.1016/j.jnt.2020.04.015},
  url = {https://doi.org/10.1016/j.jnt.2020.04.015},
  file = {Bleher-2020-Galois-structure-of-the-holomorphic}
}

Details

First page of Galois action on homology of generalized Fermat Curves

Kontogeorgis, Aristides and Paramantzoglou, Panagiotis
Galois action on homology of generalized Fermat Curves
The Quarterly Journal of Mathematics (2020), vol. 71, pg. 1377-1417

pdf doi arXiv Details

@article{10.1093/qmath/haaa038,
  author = {Kontogeorgis, Aristides and Paramantzoglou, Panagiotis},
  title = {Galois action on homology of generalized Fermat Curves},
  journal = {The Quarterly Journal of Mathematics},
  fjournal = {The Quarterly Journal of Mathematics},
  volume = {71},
  number = {4},
  pages = {1377-1417},
  year = {2020},
  file = {haaa038},
  month = nov,
  arxivid = {1905.04298},
  issn = {0033-5606},
  doi = {10.1093/qmath/haaa038},
  url = {https://doi.org/10.1093/qmath/haaa038},
  eprint = {https://academic.oup.com/qjmath/article-pdf/71/4/1377/34876924/haaa038.pdf}
}

Details

First page of A cohomological treatise of HKG-covers with applications to
the Nottingham group

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

pdf MRreview doi Details

@article{Kontogeorgis2019-kz,
  author = {Kontogeorgis, Aristides and Tsouknidas, Ioannis},
  title = {A cohomological treatise of HKG-covers with applications to
                  the Nottingham group},
  journal = {J. Algebra},
  fjournal = {Journal of Algebra},
  volume = {555},
  year = {2020},
  pages = {325--345},
  issn = {0021-8693},
  mrclass = {14H30 (20E18 20J06)},
  mrnumber = {4081494},
  doi = {10.1016/j.jalgebra.2020.02.037},
  url = {https://doi.org/10.1016/j.jalgebra.2020.02.037},
  file = {TsouknidasAlgebra}
}

Details

2019

First page of Automorphisms of curves and Weierstrass semigroups for Harbater-Katz-Gabber covers.

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

pdf Details

@article{New1,
  author = {Karanikolopoulos, Sotiris and Kontogeorgis, Aristides},
  title = {Automorphisms of curves and Weierstrass semigroups for Harbater-Katz-Gabber covers.},
  fjournal = {Transactions of the American Mathematical Society},
  journal = {Trans. Am. Math. Soc.},
  issn = {0002-9947; 1088-6850/e},
  volume = {371},
  number = {9},
  pages = {6377--6402},
  year = {2019},
  publisher = {American Mathematical Society (AMS), Providence, RI},
  language = {English},
  file = {karanikolopoulos2018}
}

Details

First page of Group Actions on cyclic covers of the projective line

Kontogeorgis, Aristides and Paramantzoglou, Panagiotis
Group Actions on cyclic covers of the projective line
Geometriae Dedicata (2019), pg. 20

pdf arXiv Details

@article{180407021,
  author = {Kontogeorgis, Aristides and Paramantzoglou, Panagiotis},
  title = {Group Actions on cyclic covers of the projective line},
  journal = {Geometriae Dedicata},
  fjournal = {Geometriae Dedicata},
  year = {2019},
  arxivid = {1804.07021},
  file = {GeomDedicata2019},
  pages = {20},
  url = {https://doi.org/10.1007/s10711-019-00501-w}
}

Details

2018

First page of Αριθμητική Γεωμετρία, Ιστορία Επιτευγματα και Μέλλον

Αντωνιάδης, I. and Κοντογεώργης, A.
Αριθμητική Γεωμετρία, Ιστορία Επιτευγματα και Μέλλον
(2018), pg. 12

pdf Details

@article{AntKontEME,
  author = {Αντωνιάδης, I. and Κοντογεώργης, A.},
  title = {Αριθμητική Γεωμετρία, Ιστορία Επιτευγματα και Μέλλον},
  year = {2018},
  file = {EMEprod},
  pages = {12}
}

Details

2017

First page of Framization of the Temperley-Lieb Algebra

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

pdf Details

@article{ftl,
  journal = {Mathematical Research Letters},
  fjournal = {Mathematical Research Letters},
  author = {Goundaroulis, Dimos and Juyumaya, Jesus and Kontogeorgis, Aristides and Lambropoulou, Sofia},
  file = {MRL_24_02_A03-1},
  pages = {299-345},
  title = {Framization of the Temperley-Lieb Algebra},
  url = {http://www.intlpress.com/site/pub/pages/journals/items/mrl/content/_home/index.html},
  volume = {24 no. 2},
  year = {2017}
}

Details

First page of Automorphisms of generalized Fermat curves

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

pdf MRreview doi Details

@article{RMKP,
  author = {Hidalgo, Ruben A. and Kontogeorgis, Aristides and Leyton-Alvarez, Maximiliano and Paramantzoglou, Panagiotis},
  file = {hidalgo2016},
  title = {Automorphisms of generalized Fermat curves},
  journal = {J. Pure Appl. Algebra},
  fjournal = {Journal of Pure and Applied Algebra},
  volume = {221},
  year = {2017},
  number = {9},
  pages = {2312--2337},
  issn = {0022-4049},
  mrclass = {14H37 (14H25)},
  mrnumber = {3631719},
  mrreviewer = {Alex Massarenti},
  doi = {10.1016/j.jpaa.2016.12.011},
  url = {https://doi.org/10.1016/j.jpaa.2016.12.011}
}

Details

2016

First page of Distances in spaces of physical models: partition functions versus spectra

Cornelissen, Gunther and Kontogeorgis, Aristides
Distances in spaces of physical models: partition functions versus spectra
Letters in Mathematical Physics (2016), pg. 15

pdf doi Details

@article{Dirichlet,
  author = {Cornelissen, Gunther and Kontogeorgis, Aristides},
  title = {Distances in spaces of physical models: partition functions versus spectra },
  file = {CK-LMP2016},
  fjournal = {Letters in Mathematical Physics},
  pages = {15},
  doi = {10.1007/s11005-016-0891-1},
  url = {http://link.springer.com/article/10.1007/s11005-016-0891-1},
  year = {2016}
}

Details

2014

First page of Constructing class invariants

Kontogeorgis, Aristides
Constructing class invariants
Mathematics of Computation (2014), vol. 83, pg. 1477–1488

pdf MRreview doi Details

@article{descent,
  file = {ConstructingClassInvariants},
  author = {Kontogeorgis, Aristides},
  title = {Constructing class invariants},
  journal = {Math. Comp.},
  fjournal = {Mathematics of Computation},
  volume = {83},
  year = {2014},
  number = {287},
  pages = {1477--1488},
  issn = {0025-5718},
  mrclass = {Preliminary Data},
  mrnumber = {3167467},
  doi = {10.1090/S0025-5718-2013-02769-X},
  url = {http://dx.doi.org/10.1090/S0025-5718-2013-02769-X}
}

Details

First page of Integral representations of cyclic groups acting on relative
holomorphic differentials of deformations of curves with
automorphisms

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

pdf MRreview doi Details

@article{Swter2,
  author = {Karanikolopoulos, Sotiris and Kontogeorgis, Aristides},
  title = {Integral representations of cyclic groups acting on relative
                holomorphic differentials of deformations of curves with
                automorphisms},
  file = {ProceedingKaran2014},
  journal = {Proc. Amer. Math. Soc.},
  fjournal = {Proceedings of the American Mathematical Society},
  volume = {142},
  year = {2014},
  number = {7},
  pages = {2369--2383},
  issn = {0002-9939},
  mrclass = {14H37},
  mrnumber = {3195760},
  doi = {10.1090/S0002-9939-2014-12010-7},
  url = {http://dx.doi.org/10.1090/S0002-9939-2014-12010-7}
}

Details

First page of The Yokonuma-Temperley-Lieb Algebra

Goundaroulis, Demos and Juyumaya, Jesus and Kontogeorgis, Aristides and Lambropoulou, Sofia
The Yokonuma-Temperley-Lieb Algebra
Banach Center Publications (2014), vol. 103, pg. 24

pdf Details

@article{GJKL,
  fjournal = {Banach Center Publications},
  author = {Goundaroulis, Demos and Juyumaya, Jesus and Kontogeorgis, Aristides and Lambropoulou, Sofia},
  file = {YTL09.08.14},
  pages = {24},
  title = {The Yokonuma-Temperley-Lieb Algebra},
  url = {http://journals.impan.gov.pl/bc/},
  volume = {103},
  year = {2014}
}

Details

2013

First page of Representation of cyclic groups in positive characteristic and Weierstrass semigroups

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

pdf doi Details

@article{Karan2013158,
  author = {Karanikolopoulos, Sotiris and Kontogeorgis, Aristides},
  doi = {10.1016/j.jnt.2012.05.039},
  file = {KaranJNT},
  issn = {0022-314X},
  fjournal = {Journal of Number Theory},
  keywords = {Automorphisms; Curves; Numerical semigroups},
  note = {},
  number = {1},
  pages = {158--175},
  title = {Representation of cyclic groups in positive characteristic and Weierstrass semigroups},
  url = {http://www.sciencedirect.com/science/article/pii/S0022314X12002132},
  volume = {133},
  year = {2013}
}

Details

$First page of Bielliptic and Hyperelliptic Modular curves $X(N)$ and the group $\mathrm{Aut}(X(N))$.$

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,

pdf doi Details

@article{XN,
  author = {Bars, Francesc and Kontogeorgis, Aristides and Xarles, Xavier},
  file = {ActaArith2013},
  issn = {},
  fjournal = {Acta Arithmetica},
  mrclass = {},
  mrnumber = {},
  number = {3},
  pages = {},
  doi = {DOI: 10.4064/aa161-3-6},
  title = {Bielliptic and Hyperelliptic Modular curves \(X(N)\) and the group \(\mathrm{Aut}(X(N))\).},
  volume = {161},
  url = {http://journals.impan.gov.pl/aa/},
  year = {2013}
}

Details

2012

$First page of Ramanujan invariants for discriminants congruent to $5\pmod{24}$$

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

pdf MRreview doi Details

@article{MR2887894,
  author = {Konstantinou, Elisavet and Kontogeorgis, Aristides},
  doi = {10.1142/S1793042112500157},
  file = {IJNT},
  fjournal = {International Journal of Number Theory},
  issn = {1793-0421},
  journal = {Int. J. Number Theory},
  mrclass = {11R37 (11G15)},
  mrnumber = {2887894},
  number = {1},
  pages = {265--287},
  title = {Ramanujan invariants for discriminants congruent to \(5\pmod{24}\) },
  url = {http://dx.doi.org/10.1142/S1793042112500157},
  volume = {8},
  year = {2012}
}

Details

First page of What is your ``birthday elliptic curves''?"

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

pdf doi Details

@article{Chan,
  author = {Chan, Heng Huat and Konstantinou, Elisavet and Kontogeorgis, Aristides and Tan, Chik How},
  doi = {10.1016/j.ffa.2012.09.005},
  file = {Aristides-Elisavet-ChikHow},
  fjournal = {Finite Fields and Their Applications},
  journal = {Finite Fields and Their Applications},
  mrclass = {11G15 11Y40 11R37 11G20},
  mrnumber = {},
  pages = {1232--1241},
  title = {What is your ``birthday elliptic curves''?"},
  url = {http://www.journals.elsevier.com/finite-fields-and-their-applications; http://dx.doi.org/10.1016/j.ffa.2012.09.005},
  volume = {180},
  year = {2012}
}

Details

First page of Quadratic Differentials and Equivariant Deformation Theory of Curves

Koeck, Benrhard and Kontogeorgis, Aristides
Quadratic Differentials and Equivariant Deformation Theory of Curves
Annales de L'institut Fourier (2012), vol. 62, pg. 1015–1043

pdf Details

@article{kock,
  author = {Koeck, Benrhard and Kontogeorgis, Aristides},
  file = {fourier},
  fjournal = {Annales de L'institut Fourier},
  issn = {},
  journal = {Annales de L'institut Fourier},
  mrclass = {},
  mrnumber = {},
  number = {3},
  pages = {1015--1043},
  title = {Quadratic Differentials and Equivariant Deformation Theory of Curves},
  url = {http://aif.cedram.org/item?id=AIF_2012__62_3_1015_0},
  volume = {62},
  year = {2012}
}

Details

2011

First page of Some remarks on the construction of class polynomials

Konstantinou, Elisavet and Kontogeorgis, Aristides
Some remarks on the construction of class polynomials
Advances in Mathematics of Communications (2011), vol. 5, pg. 109–118

pdf MRreview doi Details

@article{MR2770104,
  author = {Konstantinou, Elisavet and Kontogeorgis, Aristides},
  doi = {10.3934/amc.2011.5.109},
  file = {AMC},
  fjournal = {Advances in Mathematics of Communications},
  issn = {1930-5346},
  journal = {Adv. Math. Commun.},
  mrclass = {11R29 (11R37 11Y40)},
  mrnumber = {2770104},
  mrreviewer = {Daniel C. Mayer},
  number = {1},
  pages = {109--118},
  title = {Some remarks on the construction of class polynomials},
  url = {http://dx.doi.org/10.3934/amc.2011.5.109},
  volume = {5},
  year = {2011}
}

Details

2010

$First page of Supercongruences satisfied by coefficients of ${}_2F_1$ hypergeometric series$

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

pdf MRreview Details

@article{MR2744194,
  author = {Chan, Heng Huat and Kontogeorgis, Aristides and Krattenthaler, Christian and Osburn, Robert},
  file = {Quebec},
  fjournal = {Annales des Sciences Mathematiques du Quebec},
  issn = {0707-9109},
  journal = {Ann. Sci. Math. Quebec},
  mrclass = {33C05 (11A07 11B83)},
  mrnumber = {2744194},
  mrreviewer = {Shaun Cooper},
  number = {1},
  pages = {25--36},
  title = {Supercongruences satisfied by coefficients of \({}_2F_1\) hypergeometric series},
  volume = {34},
  year = {2010}
}

Details

First page of On the efficient generation of prime-order elliptic curves

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

pdf MRreview doi Details

@article{MR2643687,
  author = {Konstantinou, Elisavet and Kontogeorgis, Aristides and Stamatiou, Yannis C. and Zaroliagis, Christos},
  coden = {JOCREQ},
  doi = {10.1007/s00145-009-9037-2},
  file = {cryptology},
  fjournal = {Journal of Cryptology. The Journal of the International Association for Cryptologic Research},
  issn = {0933-2790},
  journal = {J. Cryptology},
  mrclass = {14G50 (11G15 11R37 11T71 14G15 14K22 94A60)},
  mrnumber = {2643687},
  mrreviewer = {Juan Tena},
  number = {3},
  pages = {477--503},
  title = {On the efficient generation of prime-order elliptic curves},
  url = {http://dx.doi.org/10.1007/s00145-009-9037-2},
  volume = {23},
  year = {2010}
}

Details

First page of The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves

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

pdf MRreview doi Details

@article{MR2735069,
  author = {Cornelissen, Gunther and Kato, Fumiharu and Kontogeorgis, Aristides},
  coden = {ISJMAP},
  doi = {10.1007/s11856-010-0107-9},
  file = {ckkIsrael},
  fjournal = {Israel Journal of Mathematics},
  issn = {0021-2172},
  journal = {Israel J. Math.},
  mrclass = {14G22 (11G05)},
  mrnumber = {2735069},
  mrreviewer = {Noriko Yui},
  pages = {345--370},
  title = {The relation between rigid-analytic and algebraic deformation parameters for Artin-Schreier-Mumford curves},
  url = {http://dx.doi.org/10.1007/s11856-010-0107-9},
  volume = {180},
  year = {2010}
}

Details

$First page of Automorphisms of hyperelliptic modular curves $X_0(N)$ in positive characteristic$

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

pdf MRreview doi Details

@article{MR2638986,
  author = {Kontogeorgis, Aristides and Yang, Yifan},
  doi = {10.1112/S1461157009000023},
  file = {KontogeorgisYifanAugust09},
  fjournal = {LMS Journal of Computation and Mathematics},
  issn = {1461-1570},
  journal = {LMS J. Comput. Math.},
  mrclass = {11G18 (11G20 14H37)},
  mrnumber = {2638986},
  mrreviewer = {Jordi Gu{\`a}rdia},
  pages = {144--163},
  title = {Automorphisms of hyperelliptic modular curves \(X_0(N)\) in positive characteristic},
  url = {http://dx.doi.org/10.1112/S1461157009000023},
  volume = {13},
  year = {2010}
}

Details

First page of Ramanujan's class invariants and their use in elliptic curve cryptography

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

pdf MRreview doi Details

@article{MR2607997,
  author = {Konstantinou, Elisavet and Kontogeorgis, Aristides},
  coden = {CMAPDK},
  doi = {10.1016/j.camwa.2010.02.008},
  file = {KonCMA},
  fjournal = {Computers & Mathematics with Applications. An International Journal},
  issn = {0898-1221},
  journal = {Comput. Math. Appl.},
  mrclass = {94A60 (11T71 14G50)},
  mrnumber = {2607997},
  number = {8},
  pages = {2901--2917},
  title = {Ramanujan's class invariants and their use in elliptic curve cryptography},
  url = {http://dx.doi.org/10.1016/j.camwa.2010.02.008},
  volume = {59},
  year = {2010}
}

Details

First page of Arithmetic equivalence for function fields, the Goss zeta function and a generalisation

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

pdf MRreview doi Details

@article{MR2600417,
  author = {Cornelissen, Gunther and Kontogeorgis, Aristides and van der Zalm, Lotte},
  coden = {JNUTA9},
  doi = {10.1016/j.jnt.2009.08.002},
  file = {CornelJNT},
  fjournal = {Journal of Number Theory},
  issn = {0022-314X},
  journal = {J. Number Theory},
  mrclass = {11M38 (11G09 11R58)},
  mrnumber = {2600417},
  mrreviewer = {Robert Perlis},
  number = {4},
  pages = {1000--1012},
  title = {Arithmetic equivalence for function fields, the Goss zeta function and a generalisation},
  url = {http://dx.doi.org/10.1016/j.jnt.2009.08.002},
  volume = {130},
  year = {2010}
}

Details

2009

First page of Field of moduli versus field of definition for cyclic covers of the projective line

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

pdf MRreview Details

@article{MR2605539,
  author = {Kontogeorgis, Aristides},
  file = {BordeauxArticle},
  fjournal = {Journal de Theorie des Nombres de Bordeaux},
  issn = {1246-7405},
  journal = {J. Theor. Nombres Bordeaux},
  mrclass = {14H37 (14H30)},
  mrnumber = {2605539},
  mrreviewer = {Meirav Topol},
  number = {3},
  pages = {679--692},
  title = {Field of moduli versus field of definition for cyclic covers of the projective line},
  url = {http://jtnb.cedram.org/item?id=JTNB_2009__21_3_679_0},
  volume = {21},
  year = {2009}
}

Details

$First page of Computing polynomials of the Ramanujan $t_n$-class invariants$

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

pdf MRreview doi Details

@article{MR2567152,
  author = {Konstantinou, Elisavet and Kontogeorgis, Aristides},
  coden = {CMBUA3},
  doi = {10.4153/CMB-2009-058-6},
  file = {ramanujan},
  fjournal = {Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques},
  issn = {0008-4395},
  journal = {Canad. Math. Bull.},
  mrclass = {11R29 (11F20 11G15 11R20 11R37)},
  mrnumber = {2567152},
  mrreviewer = {Daniel C. Mayer},
  number = {4},
  pages = {583--597},
  title = {Computing polynomials of the Ramanujan \(t_n\)-class invariants},
  url = {http://dx.doi.org/10.4153/CMB-2009-058-6},
  volume = {52},
  year = {2009}
}

Details

2008

First page of The ramification sequence for a fixed point of an automorphism of a curve and the Weierstrass gap sequence

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

pdf MRreview doi Details

@article{MR2395122,
  author = {Kontogeorgis, A.},
  coden = {MAZEAX},
  doi = {10.1007/s00209-007-0231-3},
  file = {MathZeit},
  fjournal = {Mathematische Zeitschrift},
  issn = {0025-5874},
  journal = {Math. Z.},
  mrclass = {14H55 (14H37)},
  mrnumber = {2395122},
  mrreviewer = {Eleonora Palmieri},
  number = {3},
  pages = {471--479},
  title = {The ramification sequence for a fixed point of an automorphism of a curve and the Weierstrass gap sequence},
  url = {http://dx.doi.org/10.1007/s00209-007-0231-3},
  volume = {259},
  year = {2008}
}

Details

First page of On the non-existence of exceptional automorphisms on Shimura curves

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

pdf MRreview doi Details

@article{MR2418792,
  author = {Kontogeorgis, Aristides and Rotger, Victor},
  doi = {10.1112/blms/bdn012},
  file = {Kontogeorgis-363-74},
  fjournal = {Bulletin of the London Mathematical Society},
  issn = {0024-6093},
  journal = {Bull. Lond. Math. Soc.},
  mrclass = {11G18 (14G35)},
  mrnumber = {2418792},
  mrreviewer = {Marc-Hubert Nicole},
  number = {3},
  pages = {363--374},
  title = {On the non-existence of exceptional automorphisms on Shimura curves},
  url = {http://dx.doi.org/10.1112/blms/bdn012},
  volume = {40},
  year = {2008}
}

Details

First page of On abelian automorphism groups of Mumford curves

Kontogeorgis, Aristides and Rotger, Victor
On abelian automorphism groups of Mumford curves
Bulletin of the London Mathematical Society (2008), vol. 40, pg. 353–362

pdf MRreview doi Details

@article{MR2418791,
  author = {Kontogeorgis, Aristides and Rotger, Victor},
  doi = {10.1112/blms/bdn011},
  file = {Kontogeorgis-353-62},
  fjournal = {Bulletin of the London Mathematical Society},
  issn = {0024-6093},
  journal = {Bull. Lond. Math. Soc.},
  mrclass = {11G18 (14G20 14G35 14H37)},
  mrnumber = {2418791},
  mrreviewer = {Patrick Erik Bradley},
  number = {3},
  pages = {353--362},
  title = {On abelian automorphism groups of Mumford curves},
  url = {http://dx.doi.org/10.1112/blms/bdn011},
  volume = {40},
  year = {2008}
}

Details

First page of Actions of Galois groups on invariants of number fields

Kontogeorgis, A.
Actions of Galois groups on invariants of number fields
Journal of Number Theory (2008), vol. 128, pg. 1587–1601

pdf MRreview doi Details

@article{MR2419180,
  author = {Kontogeorgis, A.},
  coden = {JNUTA9},
  doi = {10.1016/j.jnt.2007.04.012},
  file = {1-s2.0-S0022314X07001242-main},
  fjournal = {Journal of Number Theory},
  issn = {0022-314X},
  journal = {J. Number Theory},
  mrclass = {11R32},
  mrnumber = {2419180},
  mrreviewer = {Th{\cfac{o}}ng Nguy{\cftil{e}}n-Quang-{\Dbar}{\cftil{o}}},
  number = {6},
  pages = {1587--1601},
  title = {Actions of Galois groups on invariants of number fields},
  url = {http://dx.doi.org/10.1016/j.jnt.2007.04.012},
  volume = {128},
  year = {2008}
}

Details

2007

First page of On the tangent space of the deformation functor of curves with automorphisms

Kontogeorgis, Aristides
On the tangent space of the deformation functor of curves with automorphisms
Algebra & Number Theory (2007), vol. 1, pg. 119–161

pdf MRreview doi Details

@article{MR2361938,
  author = {Kontogeorgis, Aristides},
  doi = {10.2140/ant.2007.1.119},
  file = {ant-v1-n2-p01-s},
  fjournal = {Algebra & Number Theory},
  issn = {1937-0652},
  journal = {Algebra Number Theory},
  mrclass = {14H37 (14B10 14D15)},
  mrnumber = {2361938},
  mrreviewer = {Arvid Siqveland},
  number = {2},
  pages = {119--161},
  title = {On the tangent space of the deformation functor of curves with automorphisms},
  url = {http://dx.doi.org/10.2140/ant.2007.1.119},
  volume = {1},
  year = {2007}
}

Details

First page of Polydifferentials and the deformation functor of curves with automorphisms

Kontogeorgis, A.
Polydifferentials and the deformation functor of curves with automorphisms
Journal of Pure and Applied Algebra (2007), vol. 210, pg. 551–558

pdf MRreview doi Details

@article{MR2320018,
  author = {Kontogeorgis, A.},
  coden = {JPAAA2},
  doi = {10.1016/j.jpaa.2006.10.015},
  file = {JPAA},
  fjournal = {Journal of Pure and Applied Algebra},
  issn = {0022-4049},
  journal = {J. Pure Appl. Algebra},
  mrclass = {14D15 (14H37)},
  mrnumber = {2320018},
  number = {2},
  pages = {551--558},
  title = {Polydifferentials and the deformation functor of curves with automorphisms},
  url = {http://dx.doi.org/10.1016/j.jpaa.2006.10.015},
  volume = {210},
  year = {2007}
}

Details

2006

First page of On cyclic covers of the projective line

Antoniadis, Jannis A. and Kontogeorgis, Aristides
On cyclic covers of the projective line
Manuscripta Mathematica (2006), vol. 121, pg. 105–130

pdf MRreview doi Details

@article{MR2258533,
  author = {Antoniadis, Jannis A. and Kontogeorgis, Aristides},
  coden = {MSMHB2},
  doi = {10.1007/s00229-006-0028-4},
  file = {manuant},
  fjournal = {Manuscripta Mathematica},
  issn = {0025-2611},
  journal = {Manuscripta Math.},
  mrclass = {14H30 (14H10)},
  mrnumber = {2258533},
  mrreviewer = {Tanush Shaska},
  number = {1},
  pages = {105--130},
  title = {On cyclic covers of the projective line},
  url = {http://dx.doi.org/10.1007/s00229-006-0028-4},
  volume = {121},
  year = {2006}
}

Details

2002

First page of Automorphisms of Fermat-like varieties

Kontogeorgis, Aristides
Automorphisms of Fermat-like varieties
Manuscripta Mathematica (2002), vol. 107, pg. 187–205

pdf MRreview doi Details

@article{MR1894739,
  author = {Kontogeorgis, Aristides},
  coden = {MSMHB2},
  doi = {10.1007/s002290100233},
  file = {pap4},
  fjournal = {Manuscripta Mathematica},
  issn = {0025-2611},
  journal = {Manuscripta Math.},
  mrclass = {14H37 (14J50 14N05)},
  mrnumber = {1894739},
  mrreviewer = {Jin-Xing Cai},
  number = {2},
  pages = {187--205},
  title = {Automorphisms of Fermat-like varieties},
  url = {http://dx.doi.org/10.1007/s002290100233},
  volume = {107},
  year = {2002}
}

Details

2001

First page of Discontinuous groups in positive characteristic and automorphisms of Mumford curves

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

pdf MRreview doi Details

@article{CKK_MumfordUni,
  author = {Cornelissen, Gunther and Kato, Fumiharu and Kontogeorgis, Aristides},
  coden = {MAANA},
  doi = {10.1007/PL00004470},
  file = {ckk},
  fjournal = {Mathematische Annalen},
  issn = {0025-5831},
  journal = {Math. Ann.},
  mrclass = {14Gxx (11Gxx)},
  mrnumber = {1835062},
  number = {1},
  pages = {55--85},
  title = {Discontinuous groups in positive characteristic and automorphisms of Mumford curves},
  url = {http://www.springerlink.com/content/frhml5u9a3am4cqh/?MUD=MP},
  volume = {320},
  year = {2001}
}

Details

1999

First page of The group of automorphisms of cyclic extensions of rational function fields

Kontogeorgis, Aristides
The group of automorphisms of cyclic extensions of rational function fields
Journal of Algebra (1999), vol. 216, pg. 665–706

pdf MRreview doi Details

@article{MR1692965,
  author = {Kontogeorgis, Aristides},
  coden = {JALGA4},
  doi = {10.1006/jabr.1998.7804},
  file = {pap2},
  fjournal = {Journal of Algebra},
  issn = {0021-8693},
  journal = {J. Algebra},
  mrclass = {12F20 (20B25)},
  mrnumber = {1692965},
  mrreviewer = {Ivan D. Chipchakov},
  number = {2},
  pages = {665--706},
  title = {The group of automorphisms of cyclic extensions of rational function fields},
  url = {http://dx.doi.org/10.1006/jabr.1998.7804},
  volume = {216},
  year = {1999}
}

Details

1998

$First page of The group of automorphisms of the function fields of the curve $x^n+y^m+1=0$$

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

pdf MRreview doi Details

@article{MR1643304,
  author = {Kontogeorgis, Aristides I.},
  coden = {JNUTA9},
  doi = {10.1006/jnth.1998.2251},
  file = {pap1},
  fjournal = {Journal of Number Theory},
  issn = {0022-314X},
  journal = {J. Number Theory},
  mrclass = {11G20 (14E09 14H05)},
  mrnumber = {1643304},
  mrreviewer = {Pavlos Tzermias},
  number = {1},
  pages = {110--136},
  title = {The group of automorphisms of the function fields of the curve \(x^n+y^m+1=0\)},
  url = {http://dx.doi.org/10.1006/jnth.1998.2251},
  volume = {72},
  year = {1998},
  tag = {ArithmGeom}
}

Details

2022

First page of Computational Aspects of Equivariant Hilbert Series of Canonical Rings for Algebraic Curves

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

pdf Details

@incollection{10.1007/978-3-031-14788-3_6,
  author = {Charalambous, Hara and Karagiannis, Kostas and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides},
  editor = {Boulier, Fran{\c{c}}ois and England, Matthew and Sadykov, Timur M. and Vorozhtsov, Evgenii V.},
  title = {Computational Aspects of Equivariant Hilbert Series of Canonical Rings for Algebraic Curves},
  booktitle = {Computer Algebra in Scientific Computing},
  year = {2022},
  publisher = {Springer International Publishing},
  address = {Cham},
  pages = {83--102},
  isbn = {978-3-031-14788-3},
  file = {ArticleCasc2022}
}

Details

2020

First page of Syzygies of ideals of polynomial rings over principal ideal domains

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

pdf doi Details

@incollection{DBLP_conf_issac_CharalambousKKK20,
  author = {Charalambous, Hara and Karagiannis, Kostas and Karanikolopoulos, Sotiris and Kontogeorgis, Aristides},
  editor = {Emiris, Ioannis Z. and Zhi, Lihong},
  title = {Syzygies of ideals of polynomial rings over principal ideal domains},
  booktitle = {{ISSAC} '20: International Symposium on Symbolic and Algebraic Computation,
                 Kalamata, Greece, July 20-23, 2020},
  pages = {78--82},
  publisher = {ACM},
  year = {2020},
  url = {https://doi.org/10.1145/3373207.3404046},
  doi = {10.1145/3373207.3404046},
  timestamp = {Tue, 04 Aug 2020 17:31:25 +0200},
  biburl = {https://dblp.org/rec/conf/issac/CharalambousKKK20.bib},
  bibsource = {dblp computer science bibliography, https://dblp.org},
  file = {ISSAC2020}
}

Details

2017

Antoniadis, Jannis A. and Kontogeorgis, Aristides
Automorphisms of Curves
(2017), pg. 339–361

pdf doi Details

@incollection{Antoniadis2017,
  author = {Antoniadis, Jannis A. and Kontogeorgis, Aristides},
  editor = {Lambropoulou, Sofia and Theodorou, Doros and Stefaneas, Petros and Kauffman, Louis H.},
  title = {Automorphisms of Curves},
  file = {KontogeorgisAntoniadisAutomorphisms},
  booktitle = {Algebraic Modeling of Topological and Computational Structures and Applications: THALES, Athens, Greece, July 1-3, 2015},
  year = {2017},
  publisher = {Springer International Publishing},
  address = {Cham},
  pages = {339--361},
  isbn = {978-3-319-68103-0},
  doi = {10.1007/978-3-319-68103-0_16},
  url = {https://doi.org/10.1007/978-3-319-68103-0_16}
}

Details

2015

First page of Revisiting the Complex Multiplication Method for the Construction of Elliptic Curves

Konstantinou, Elisavet and Kontogeorgis, Aristides
Revisiting the Complex Multiplication Method for the Construction of Elliptic Curves
(2015),

pdf Details

@incollection{MR2214105,
  author = {Konstantinou, Elisavet and Kontogeorgis, Aristides},
  booktitle = {Computation, Cryptography, and Network Security},
  file = {ElisavetDaras},
  mrclass = {94A60 (11F03 11G15 11Y40)},
  publisher = {Springer},
  title = {Revisiting the Complex Multiplication Method for the Construction of Elliptic Curves},
  url = {http://www.springer.com/us/book/9783319182742#},
  year = {2015}
}

Details

2005

First page of Generating prime order elliptic curves: difficulties and efficiency considerations

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

pdf MRreview doi Details

@incollection{MR2214104,
  abstact = {We consider the generation of prime order elliptic curves (ECs) over a prime field using the Complex Multiplication (CM) method. A crucial step of this method is to compute the roots of a special type of class field polynomials with the most commonly used being the Hilbert and Weber ones, uniquely determined by the CM discriminant D. The roots of Hilbert polynomials generate the EC directly, but have high computational demands. Weber polynomials have small computational demands, but their roots do not generate directly the EC, and hence certain transformations are required to map their roots to the roots of their Hilbert counterparts},
  address = {Berlin},
  author = {Konstantinou, Elisavet and Kontogeorgis, Aristides and Stamatiou, Yannis C. and Zaroliagis, Christos},
  booktitle = {Information security and cryptology---{ICISC} 2004},
  doi = {10.1007/11496618_20},
  file = {SpringerLNCS},
  mrclass = {94A60 (11F03 11G15 11Y40)},
  mrnumber = {2214104},
  mrreviewer = {David Y. Jao},
  pages = {261--278},
  publisher = {Springer},
  series = {Lecture Notes in Comput. Sci.},
  title = {Generating prime order elliptic curves: difficulties and efficiency considerations},
  url = {http://dx.doi.org/10.1007/11496618_20},
  volume = {3506},
  year = {2005}
}

Details

1998

First page of Ομάδες Αυτομορφισμών Αλγεβρικών Καμπυλών

Kontogeorgis, Aristides
Ομάδες Αυτομορφισμών Αλγεβρικών Καμπυλών
(1998),

pdf Details

@thesis{phd,
  author = {Kontogeorgis, Aristides},
  file = {kygk},
  fjournal = {},
  issn = {},
  journal = {},
  mrclass = {},
  mrnumber = {},
  number = {},
  pages = {},
  title = {Ομάδες Αυτομορφισμών Αλγεβρικών Καμπυλών},
  url = {http://users.uoa.gr/~kontogar/eisag/index.html},
  volume = {},
  year = {1998}
}

Details

1994

First page of Ημιευσταθείς Ελλειπτικές Καμπύλες και το τελευταίο Θεώρημα του Fermat. Εργασία για την απόκτηση μεταπρυχιακού διπλώματος ειδίκευσης.

Kontogeorgis, Aristides
Ημιευσταθείς Ελλειπτικές Καμπύλες και το τελευταίο Θεώρημα του Fermat. Εργασία για την απόκτηση μεταπρυχιακού διπλώματος ειδίκευσης.
(1994),

pdf Details

@thesis{Master,
  author = {Kontogeorgis, Aristides},
  file = {ergasia},
  fjournal = {},
  issn = {},
  journal = {},
  mrclass = {},
  mrnumber = {},
  number = {},
  pages = {},
  title = {Ημιευσταθείς Ελλειπτικές Καμπύλες και το τελευταίο Θεώρημα του Fermat. Εργασία για την απόκτηση μεταπρυχιακού διπλώματος ειδίκευσης.},
  url = {http://users.uoa.gr/~kontogar/master/index.html},
  volume = {},
  year = {1994}
}

Details

2010

First page of Automorphisms of Curves and Weierstrass semigroups

Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Automorphisms of Curves and Weierstrass semigroups
(2010),

pdf Details

@misc{KaranSemi,
  author = {Karanikolopoulos, Sotiris and Kontogeorgis, Aristides},
  file = {KaranSemi},
  fjournal = {},
  issn = {},
  journal = {},
  mrclass = {},
  mrnumber = {},
  number = {},
  pages = {},
  title = {Automorphisms of Curves and Weierstrass semigroups},
  volume = {},
  year = {2010}
}

Details

2008

First page of On the principal ideal theorem in arithmetic topology.

Goundaroulis, Dimocles and Kontogeorgis, Aristides
On the principal ideal theorem in arithmetic topology.
(2008),

pdf Details

@misc{Guda,
  author = {Goundaroulis, Dimocles and Kontogeorgis, Aristides},
  file = {GountarKont},
  fjournal = {},
  issn = {},
  journal = {},
  mrclass = {},
  mrnumber = {},
  number = {},
  pages = {},
  title = {On the principal ideal theorem in arithmetic topology.},
  volume = {},
  year = {2008}
}

Details

First page of Deformation of Curves with Automorphisms and Representations on Riemann-Roch spaces.

Kontogeorgis, Aristides
Deformation of Curves with Automorphisms and Representations on Riemann-Roch spaces.
(2008),

pdf Details

@misc{DefExp,
  author = {Kontogeorgis, Aristides},
  file = {0804-1.1647v1},
  fjournal = {},
  issn = {},
  journal = {},
  mrclass = {},
  mrnumber = {},
  number = {},
  pages = {},
  title = {Deformation of Curves with Automorphisms and Representations on Riemann-Roch spaces.},
  volume = {},
  year = {2008}
}

Details

Publications

Preprints: 5

2026

2025

Journal Articles: 54

2026

2025

2024

2022

2021

2020

2019

2018

2017

2016

2014

2013

2012

2011

2010

2009

2008

2007

2006

2002

2001

1999

1998

Conference Articles: 5

2022

2020

2017

2015

2005

Theses: 2

1998

1994

Unpublished Articles: 3

2010

2008