Maria Chlouveraki's webpage

Address:	Department of Mathematics
	National and Kapodistrian University of Athens
	Panepistimioupolis
	157 84 Athens GREECE
Office:	209
Tel.:	+30 210 7276369
E-mail:	mchlouve@math.uoa.gr

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About me

I am an Assistant Professor at the Department of Mathematics of the National and Kapodistrian University of Athens since September 2022. Before that I held a position of Maitre de Conférences at Université de Versailles-St Quentin for 10 years.

My research interests include: Representation theory, group theory, algebraic combinatorics, low-dimensional topology, knot theory, Hecke algebras, complex reflection groups, finite reductive groups, braid groups, symmetric algebras, Cherednik algebras, Yokonuma-Hecke algebras, Temperley-Lieb algebras, Markov traces, knot invariants.

• Publications
  
  1. Rouquier blocks of the cyclotomic Hecke algebras, C. R. Acad. Sci. Paris, Ser. I 344 (2007), 615-620 (available online: Elsevier SAS).
  2. Degree and valuation of the Schur elements of cyclotomic Hecke algebras, J. Algebra 320 (2008), 3935-3949.
  3. Rouquier blocks of the cyclotomic Ariki-Koike algebras, Algebra and Number Theory J. Vol. 2 No. 6 (2008), 689-720.
  4. Blocks and families for cyclotomic Hecke algebras, Lecture Notes in Mathematics 1981, Springer-Verlag Berlin Heidelberg, 2009.
  5. Families of characters of the imprimitive complex reflection groups, Kyoto RIMS Kokyuroku No 1647 (2009), 136-152.
  6. Rouquier blocks of the cyclotomic Hecke algebras of G(de,e,r), Nagoya Math. J. Vol. 197 (2010), 175-212.
  7. With Nicolas Jacon, Schur elements and basic sets for cyclotomic Hecke algebras, Journal of Algebra and its Applications Vol. 10, No.5 (2011), 979-993.
  8. With Hyohe Miyachi, Decomposition matrices for d-Harish-Chandra series: the exceptional rank two cases, LMS Journal of Computation and Mathematics 14 (2011), 271-290.
     
  9. With Nicolas Jacon, Schur elements for the Ariki-Koike algebra and applications, Journal of Algebraic Combinatorics 35, 2 (2012), 291-311.
     
  10. With Iain Gordon and Stephen Griffeth, Cell modules and canonical basic sets for Hecke algebras from Cherednik algebras, AMS Contemporary Mathematics Vol. 562 (2012), 77-89.
      
  11. With Sofia Lambropoulou, The Yokonuma-Hecke algebras and the HOMFLYPT polynomial, Journal of Knot Theory and its Ramifications 22, No. 14 (2013), 1350080.
      
  12. With Loïc Poulain d'Andecy, Representation theory of the Yokonuma-Hecke algebra, Advances in Mathematics 259 (2014), 134-172.
  13. With Guillaume Pouchin, Determination of the representations and a basis for the Yokonuma-Temperley-Lieb algebra, Algebras and Representation Theory, Volume 18, Issue 2 (2015), 421-447.
  14. Hecke algebras and symplectic reflection algebras, Commutative Algebra and Noncommutative Algebraic Geometry, I, MSRI Publications 67 (2015), 95-139.
  15. With Nicolas Jacon, On quantized decomposition maps for graded algebras, Algebras and Representation Theory 19, No. 1 (2016), 135-146.
      
  16. With Loïc Poulain d'Andecy, Markov traces on affine and cyclotomic Yokonuma-Hecke algebras, International Mathematics Research Notices 14 (2016), 4167-4228.
  17. With Vincent Sécherre, The affine Yokonuma-Hecke algebra and the pro-p-Iwahori Hecke algebra, Mathematical Research Letters 23, No. 3 (2016), 707-718.
  18. With Guillaume Pouchin, Representations of the Framisation of the Temperley-Lieb algebra, Perspectives in Lie Theory, Springer INdAM series (2017), 253-265.
  19. Representation theory of framisations of knot algebras, Algebraic Modeling of Topological and Computational Structures and Applications, Springer PROMS series (2017), 57-75.
  20. With Guillaume Pouchin, Representation theory and an isomorphism theorem for the Framisation of the Temperley-Lieb algebra, Math. Zeitschrift 285, No. 3 (2017), 1357-1380.
  21. From the Framisation of the Temperley-Lieb algebra to the Jones polynomial: an algebraic approach, Knots, Low-Dimensional Topology and Applications, Springer PROMS 284 (2019), 247-276.
  22. With Jesús Juyumaya, Konstantinos Karvounis and Sofia Lambropoulou, Identifying the invariants for classical knots and links from the Yokonuma-Hecke algebras, International Mathematics Research Notices 1 (2020), 214-286.
  23. With Christina Boura, Eirini Chavli and Konstantinos Karvounis, The BMM symmetrising trace conjecture for groups G4,G5,G6,G7,G8, Journal of Symbolic Computation 96 (2020), 62-84.
  24. With Christina Boura and Eirini Chavli, The BMM symmetrising trace conjecture for the exceptional 2-reflection groups of rank 2, [Special Issue in honor of Michel Broué] Journal of Algebra 558 (2020), 176-198.
  25. With Dimos Goundaroulis, Aristides Kontogeorgis and Sofia Lambropoulou, A generalized skein relation for Khovanov homology and a categorification of the theta-invariant, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 151 , No. 6 (2021), 173-1757.
  26. With Eirini Chavli, The freeness and trace conjectures for parabolic Hecke subalgebras, Journal of Pure and Applied Algebra 226 (2022), 107050.
• Preprints
  1. With Nicolas Jacon, Defect in cyclotomic Hecke algebras, arXiv: 2105.08580.
• Ph.D. thesis (under the supervision of Michel Broué)
  On the cyclotomic Hecke algebras of complex reflection groups, Université Paris 7, 2007, arXiv:0710.0776, available on http://tel.archives-ouvertes.fr/tel-00310489.
  
• Habilitation thesis
  Hecke algebras, generalisations and representation theory, UVSQ, 2016, available on http://tel.archives-ouvertes.fr/tel-01411063.
  
• Ph.D. students
  
  • Salim Rostam, 2016-2018, codirector: Nicolas Jacon.
• Ilias Andreou, 2019-present, codirector: Ivan Marin.
• Teaching
  
  • 2019-2020 UVSQ, Lecture and Exercise class for the L1 course MA202.
  • 2019-2020 UVSQ, Lecture and Exercise class for the M1 course "Théorie de Galois": TD1, TD2, TD3, TD4, TD5, TD6, TD7, TD8, TD9, TD10.
  • 2018-2019 UVSQ, Exercise class for the L1 course MA202.
  • 2018-2019 UVSQ, Lecture and Exercise class for the M1 course "Théorie de Galois": TD1, TD2, TD3, TD4, TD5, TD6, TD7, TD8, TD9.
  • 2018-2019 UVSQ, Lecture and Exercise class for the L3 course "Algèbre, structures algébriques": TD1, TD2, TD3, TD4, TD5, TD6, TD7, TD8, TD9, TD10.
  • 2017-2018 UVSQ, Exercise class for the L2 course "Théorie des groupes pour la chimie".
  • 2017-2018 UVSQ, Exercise class for the L1 course MA202.
  • 2017-2018 UVSQ, Lecture and Exercise class for the M1 course "Théorie de Galois": TD1, TD2, TD3, TD4, TD5, TD6, TD7, TD8, TD9.
  • 2017-2018 UVSQ, Lecture and Exercise class for the L3 course "Algèbre, structures algébriques": TD1, TD2, TD3, TD4, TD5, TD6, TD7, TD8, TD9.
  • 2016-2017 UVSQ, Lecture and Exercise class for the L3 course "Algèbre, structures algébriques": TD1, TD2, TD3, TD4, TD5, TD7, TD8, TD9.
  • 2014-2015 UVSQ, Lecture and Exercise class for the L3 course "Algèbre, structures algébriques": TD1, TD2, TD3, TD4, TD5, TD6, TD7, TD8, TD9.
  • 2013-2014 UVSQ, Exercise class for the Master 2 course "Courbes algébriques": TD1, TD2, TD3, TD4, TD5, TD6, TD7.
  • 2013-2014 UVSQ, Exercise class for the L1 course MA100.
  • 2012-2013 UVSQ, Exercise class for the Master 2 course "Courbes algébriques": TD1, TD2, TD3, TD4, TD5, TD6, TD7.
  • 2012-2013 UVSQ, Exercise class for the L1 course MA100.
  • 2011-2012 University of Edinburgh, Teaching of the undergraduate course "Mathematics for Informatics 3b: Counting".
  • 2011-2012 University of Athens, Lectures series on "Reflection groups, Hecke algebras and families of characters".
  • 2010-2011 University of Edinburgh, Teaching of the undergraduate course "Mathematics for Informatics 3b: Counting".
  • 2009-2010 University of Edinburgh, Teaching of the SMSTC course Algebra: Rings and Modules.
  • 2008-2009 EPFL, Teaching of the Doctoral course Introduction to reflection groups and Hecke algebras, Assistant to the courses Algèbre I, Mathématiques Générales II.
  • 2007-2008 EPFL, Assistant to the courses Algèbre I, Analyse I.
  • 2006-2007 Université Paris 7, Exercise course for the Master 2 course "Invariants et groupes de réflexions, algèbre de Hecke".
• Some talks
  
  • Jan 2020 Conférence d'initiation à la recherche, ENS de Rennes, France, "Noeuds et algèbre(s)", pdf
  • Dec 2018 Nikolaus Conference, RWTH Aachen, Germany, "Two fundamental conjectures on the structure of Hecke algebras Part II: The BMM", pdf
  • Jul 2018 Computational Lie Theory, University of Stuttgart, Germany, "The symmetrising trace conjecture for Hecke algebras", pdf
  • Jun 2018 First Congress for Greek Mathematicians, University of Athens, Greece, "The symmetrising trace conjecture for Hecke algebras", pdf
  • Mar 2018 Séminaire algèbre et topologie, Université de Strasbourg, France, "Algèbres de Yokonuma-Hecke et invariants de noeuds", pdf
  • Dec 2017 Nikolaus Conference, RWTH Aachen, Germany, "Two lemmas: one seemingly true and one seemingly false", pdf
  • Sep 2016 Finite Chevalley groups, reflection groups and braid groups, EPFL, Lausanne, Switzerland, "Schur elements for Hecke algebras", pdf
  • Aug 2015 Bristol Leicester Oxford Colloquium, City University, London, UK, "Yokonuma-Hecke algebras and knot invariants", pdf
  • Jul 2015 Algebraic modeling of topological and computational structures and applications, NTUA, Athens, Greece, "Representation theory of framisations of knot algebras", pdf
  • Mar 2015 Séminaire de Probabilités et Théorie Ergodique, Université de Tours, France, "Noeuds, tresses et algèbres de Hecke", pdf
  • Jan 2015 Perspectives in Lie Theory, Centro di Ricerca Matematica Ennio de Giorgi, Pisa, Italy, "The Yokonuma-Hecke algebra of type A", pdf.
  • Sep 2014 Conference for the 50 years of Chevalley Seminar, CIRM, Luminy, France, "The Yokonuma-Hecke algebra of type A", pdf.
  • Jun 2013 Cohomology in Lie Theory, University of Oxford, UK, "Representation theory of Hecke algebras and connections with Cherednik algebras", pdf.
  • Nov 2012 Rencotre ANR Repred, Université d'Amiens, France, "Fonctions d'ordre pour les algèbres de Hecke et les algèbres de Cherednik", pdf.
  • Oct 2012 Séminaire de théorie des groupes, Université d'Amiens, France, "Les algèbres de Yokonuma-Hecke et le polynome HOMFLYPT", pdf.
  • Aug 2010 XIV International Conference on Representations of Algebras, Tokyo, Japan, "Decomposition matrices for cyclotomic Hecke algebras", pdf.
  • Dec 2009 Algebra and Geometry Seminar, University of Ioannina, Greece, "Hecke algebras and basic sets", pdf.
  • Dec 2009 Nikolaus Conference, RWTH Aachen, Germany, "Basic sets for cyclotomic Hecke algebras", pdf.
  • Jul 2009 LMS Workshop on Representation theory, Durham, UK, "Families of characters for the Ariki-Koike algebras", pdf.
  • May 2009 Workshop on Representation Theory, Lefkosia, Cyprus, "Blocks and families for cyclotomic Hecke algebras", pdf.
  • Feb 2009 Colloque Tournant, Université Paris 7, France, "Familles de caractères des groupes de réflexions complexes imprimitifs", pdf.
  • Oct 2008 RIMS Workshop 2008, Kyoto University, Japan, "Families of characters of the imprimitive complex reflection groups", pdf.
  • Sep 2008 Braids in Paris, IMJ, France, "Blocks of generic and cyclotomic Hecke algebras", pdf.
  • May 2008 8th Panhellenic Conference in Algebra, Number Theory and Applications, NTUA, Greece, "Families of characters for cyclotomic Hecke algebras", pdf.
  • Feb 2008 Postdoc Seminar, MSRI, USA, "Rouquier blocks of the cyclotomic Hecke algebras", pdf.
  • Dec 2007 Nikolaus Conference, RWTH Aachen, Germany, "Schur elements and Rouquier blocks" pdf.
• Upcoming conferences
  • May 2021 Groupes et geometrie algebriques : Conference en memoire de Laurent Gruson, Lille, Paris and Versailles, France.

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GAP

All the programs presented here require the packages CHEVIE and VKCURVE. You can download here a version of GAP3, prepared by Jean Michel, which contains both packages. For up-to-date versions, you can visit Jean Michel's webpage.

• Rouquier blocks for the exceptional complex reflection groups.
• Rouquier blocks for the Ariki-Koike algebras.
• Program for "Degree and Valuation of the Schur elements of cyclotomic Hecke algebras": DegVal.g.

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Some links

Laboratoire de Mathématiques de Versailles
Algebra and Number Theory Research Group of the University of Edinburgh
Chair of Group Theory of the EPFL
L'Institut de Mathématiques de Jussieu - Paris Rive Gauche
Mathematics Department of the University of Athens
Music of Thanos Tsouanas
xkcd
Abstruse Goose