Publications

2025

Garnek, Jędrzej and Kontogeorgis, Aristides
The de Rham cohomology of covers with cyclic \(p\)-Sylow subgroup
(2025),
```
@book{garnek2025rhamcohomologycoverscyclic,
  title = {The de Rham cohomology of covers with cyclic \(p\)-Sylow subgroup},
  author = {Garnek, Jędrzej and Kontogeorgis, Aristides},
  year = {2025},
  eprint = {2504.01499},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/2504.01499},
  file = {Jedrej2504.01499v1}
}
```
Details
Katsimprakis, George and Kontogeorgis, Aristides
On cyclic groups covers of the projective line
(2025),
```
@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
Kontogeorgis, Aristides and Stergiopoulou, Dimitra-Dionysia
On the Galois-module structure of polydifferentials of Artin-Schreier-Mumford curves, modular and integral representation theory
(2025),
```
@book{kontogeorgis2025galoismodulestructurepolydifferentialsartinschreiermumford,
  title = {On the Galois-module structure of polydifferentials of Artin-Schreier-Mumford curves, modular and integral representation theory},
  author = {Kontogeorgis, Aristides and Stergiopoulou, Dimitra-Dionysia},
  year = {2025},
  eprint = {1305.1541},
  archiveprefix = {arXiv},
  primaryclass = {math.AG},
  url = {https://arxiv.org/abs/1305.1541},
  file = {1305.1541v3}
}
```
Details
Karakikes, Miltiadis and Kontogeorgis, Aristeides and Psaroudakis, Chrysostomos
Equivariant recollements and singular equivalences
(2025),
```
@book{karakikes2025equivariantrecollementssingularequivalences,
  title = {Equivariant recollements and singular equivalences},
  author = {Karakikes, Miltiadis and Kontogeorgis, Aristeides and Psaroudakis, Chrysostomos},
  year = {2025},
  eprint = {2504.07620},
  archiveprefix = {arXiv},
  primaryclass = {math.RT},
  url = {https://arxiv.org/abs/2504.07620},
  file = {2504.07620v1}
}
```
Details

2024

Kontogeorgis, Aristides and Noulas, Dimitrios
Galois Action on Homology of the Heisenberg Curve
(2024),
```
@book{kontogeorgis2024galoisactionhomologyheisenberg,
  title = {Galois Action on Homology of the Heisenberg Curve},
  author = {Kontogeorgis, Aristides and Noulas, Dimitrios},
  year = {2024},
  eprint = {2411.11140},
  archiveprefix = {arXiv},
  primaryclass = {math.NT},
  url = {https://arxiv.org/abs/2411.11140},
  file = {2411.11140v2}
}
```
Details

2025

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

@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

Kontogeorgis, Aristides and Terezakis, Alexios
An obstruction to the local lifting problem
Annales scientifiques de l'Ecole normale supérieure (accepted) (2025),
```
@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
Kontogeorgis, Aristides and Terezakis, Alexios
The canonical ideal and the deformation theory of curves with automorphisms
J. Pure Applied Algebra (Accepted) (2025),
```
@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

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

@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

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

@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

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

@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

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),
```
@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
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
```
@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

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

@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

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

@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

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

@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

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

@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

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

@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

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

@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

2020

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

@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

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

@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

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

@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

2019

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

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

@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

2018

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

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

@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

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

@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

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

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

@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

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

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

@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

2013

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.

@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

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

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Details

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

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  volume = {180},
  year = {2012}
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Details

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

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Details

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

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  volume = {8},
  year = {2012}
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Details

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

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  pages = {109--118},
  title = {Some remarks on the construction of class polynomials},
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  volume = {5},
  year = {2011}
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Details

2010

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

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  mrnumber = {2638986},
  mrreviewer = {Jordi Gu{\`a}rdia},
  pages = {144--163},
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  url = {http://dx.doi.org/10.1112/S1461157009000023},
  volume = {13},
  year = {2010}
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Details

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

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  volume = {59},
  year = {2010}
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Details

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

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  volume = {130},
  year = {2010}
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Details

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

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  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}
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Details

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

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  url = {http://dx.doi.org/10.1007/s11856-010-0107-9},
  volume = {180},
  year = {2010}
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Details

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

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  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

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

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  fjournal = {Canadian Mathematical Bulletin. Bulletin Canadien de Mathematiques},
  issn = {0008-4395},
  journal = {Canad. Math. Bull.},
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  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

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

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  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

2008

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

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  mrreviewer = {Eleonora Palmieri},
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  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}
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Details

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

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  title = {On the non-existence of exceptional automorphisms on Shimura curves},
  url = {http://dx.doi.org/10.1112/blms/bdn012},
  volume = {40},
  year = {2008}
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Details

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

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  title = {On abelian automorphism groups of Mumford curves},
  url = {http://dx.doi.org/10.1112/blms/bdn011},
  volume = {40},
  year = {2008}
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Details

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

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  volume = {128},
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Details

2007

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

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  volume = {210},
  year = {2007}
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Details

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

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  volume = {1},
  year = {2007}
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Details

2006

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

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  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

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

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  mrreviewer = {Jin-Xing Cai},
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  pages = {187--205},
  title = {Automorphisms of Fermat-like varieties},
  url = {http://dx.doi.org/10.1007/s002290100233},
  volume = {107},
  year = {2002}
}

Details

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

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  volume = {320},
  year = {2001}
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Details

1999

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

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  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

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

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  url = {http://dx.doi.org/10.1006/jnth.1998.2251},
  volume = {72},
  year = {1998},
  tag = {ArithmGeom}
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Details

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

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  title = {Computational Aspects of Equivariant Hilbert Series of Canonical Rings for Algebraic Curves},
  booktitle = {Computer Algebra in Scientific Computing},
  year = {2022},
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  address = {Cham},
  pages = {83--102},
  isbn = {978-3-031-14788-3},
  file = {ArticleCasc2022}
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Details

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

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  title = {Syzygies of ideals of polynomial rings over principal ideal domains},
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Details

2017

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

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  doi = {10.1007/978-3-319-68103-0_16},
  url = {https://doi.org/10.1007/978-3-319-68103-0_16}
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Details

2015

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

@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

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

@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

Kontogeorgis, Aristides
Ομάδες Αυτομορφισμών Αλγεβρικών Καμπυλών
(1998), vol. , pg.

@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

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

@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

Karanikolopoulos, Sotiris and Kontogeorgis, Aristides
Automorphisms of Curves and Weierstrass semigroups
(2010), vol. , pg.
```
@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

Goundaroulis, Dimocles and Kontogeorgis, Aristides
On the principal ideal theorem in arithmetic topology.
(2008), vol. , pg.
```
@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
Kontogeorgis, Aristides
Deformation of Curves with Automorphisms and Representations on Riemann-Roch spaces.
(2008), vol. , pg.
```
@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

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2009

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1999

1998

Conference Articles: 5

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2020

2017

2015

2005

Theses: 2

1998

1994

Unbublished Articles: 3

2010

2008