Sophie MorierGenoud 

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Publications and preprints 





qdeformations of the modular group and of the real quadratic irrational numbers, (with L.Leclere) submitted.
Quantum real numbers and qdeformed ConwayCoxeter friezes., (with V. Ovsienko), submitted.
Counting Coxeter's friezes over a finite field
via moduli spaces, Algebraic Combinatorics, to appear.
qdeformed rationals and qcontinued fractions., (with V. Ovsienko), Forum Math. Sigma 8 (2020), e13.
On qdeformed real numbers, (with V. Ovsienko) Experimental Mathematics, DOI: 10.1080/10586458.2019.1671922.
Symplectic frieze patterns, SIGMA Symmetry Integrability Geom. Methods Appl. 15 (2019), 089, 36 pages.
Farey Boat. Continued fractions and triangulations,
modular group and polygon dissections., (with V. Ovsienko), Jahresber. Dtsch. Math. Ver.
(2019) 121:91136.
On tangent cones of Schubert varieties (with D. Fuchs, A. Kirillov, V.Ovsienko), Arnold Math. J. 3 (2017), no. 4, 451482.
Extremal set theory, cubic forms on $\bbF_2^n$ and
Hurwitz square identities (with V. Ovsienko), Integers 16 (2016), Paper No. A28, 9 pp.
Coxeter's frieze patterns at the crossroads of algebra, geometry and combinatorics, Bull. London Math. Soc. 47 (2015) 895938.
Introducing supersymmetric frieze patterns and linear difference operators, (with V. Ovsienko, S. Tabachnikov), Math. Z. 281 (2015) Issue 34, 10611087 .
SL_2(\Z)tilings of the torus, CoxeterConway friezes
and Farey triangulations, (with V. Ovsienko, S. Tabachnikov), Enseign. Math. 61 (2015), no. 12, 7192.
Classification of the algebras O_{p,q}, (with M. Kreusch), Comm. Algebra 43 (2015), no. 9, 37993815.
Linear difference equations, frieze patterns and combinatorial Gale transform , (with V. Ovsienko, R. Schwartz, S. Tabachnikov), Forum Math., Sigma, Vol. 2 (2014).
A short survey of Lie antialgebras (with S. Leidwanger), J. Phys.: Conf. Ser. 532 (2014) 012015.
Orthogonal designs and a cubic binary function (with V.Ovsienko), IEEE Trans. Information Theory, vol. 59, n3 (2013),15831589.
Arithmetics of 2friezes, J. Algebraic. Combin., 36 (2012) no 4, 515539,
Superalgebras associated to Riemann surfaces: Jordan algebras of KricheverNovikov type, (with S. Leidwanger),Int. Math. Res. Not. IMRN (2012), no. 19, 44494474 ,
2frieze patterns and the cluster structure of the space of polygons, (with V. Ovsienko, S. Tabachnikov), Ann. Inst. Fourier, 62, 3 (2012) 937987.
Universal enveloping algebras of Lie antialgebras, (with S.Leidwanger), Algebr Represent Theor (2012) 15, 127,
New solutions of the Hurwitz problem on square identities, (with A. Lenzhen, V. Ovsienko), J. of Pure App. Alg., 215 (2011), 29032911,
A series of algebras generalizing the octonions and HurwitzRadon identity, (with V.Ovsienko), Comm. Math. Phys. 306 (2011), no. 1, 83118,
Simple graded commutative algebras, (with V.Ovsienko), J. Algebra 323 (2010), 16491664,
Graded commutative algebras: examples, classification, open problems, (with V.Ovsienko), Proc. XXVIII Workshop Geometrical Methods in Math. Phys. (2010),
Well, Papa, can you multiply triplets?, (with V.Ovsienko), Math. Intelligencer: Volume 31, Issue 4 (2009), Page 1.
Representations of asl_2, Int. Math. Res. Not. IMRN (2009), no. 10, 18381859,
Geometric lifting of the canonical basis and semitoric degenerations of the Richardson varieties, Trans. Amer. Math. Soc. 360 (2008), no. 1, 215235.
Realisation of Lusztig cones, (with P.Caldero, R.Marsh), Repres. Theory 8, 458478, 2004
Relèvement géométrique de la base canonique et involution de Schützenberger, C.R. Acad.Sci. Paris. Ser. I337, 371374, 2003




Other texts 




Integrable Systems and Friezes, Lecture notes (with the Exercise sheet by Max Glick in Appendix), Leicester (2017)


Frises et Algèbres nonassociatives, Mémoire HDR (2014), abstract.


Relèvement géométrique de l'involution de Schützenberger et applications, Mémoire de Thèse (2006), abstract.

Students dissertations 




Rapport Frises, par Adrien Laurent.

Edition 






Symmetries, Integrable Systems and Representations
Editors: Kenji Iohara, Sophie MorierGenoud, Bertrand Remy
These are the proceedings of two international conferences, that took place in 2011 in Tokyo and Lyon, in honor of Professor Michio Jimbo.


