IMASDepartamento de Matemática
Facultad de Ciencias Exactas y Naturales
Universidad de Buenos Aires
(1428) Pabellón I, Ciudad Universitaria
Buenos Aires, Argentina
(+5411) 52857616
(+5411) 52857400 #57616
lvendramin@dm.uba.ar
CV, MathSciNet, Google Scholar
Publications
Preprints
 Reflection equation as a tool for studying solutions to the YangBaxter equation
(with V. Lebed)
 Radical and weight of skew braces and their applications to structure groups of solutions of the YangBaxter equation
(with E. Jespers, L. Kubat, A. Van Antwerpen)
Accepted for publication
 On skew braces and their ideals (with A. Konovalov, A. Smoktunowicz).
Accepted for publication in Exp. Math.
Published
 Retractability of solutions to
the YangBaxter equation and pnilpotency of skew braces
(with E. Acri, R. Lutowski).
Internat. J. Algebra Comput. 30 (2020), no. 1, 91–115.
 Combinatorial solutions to the reflection equation (with A. Smoktunowicz, R. Weston)
J. Algebra 549 (2020) 268290
 Factorization of skew braces
(with E. Jespers, L. Kubat, A. Van Antwerpen).
Math. Ann. 375 (2019), no. 34, 1649–1663
 PBW deformations of a FominKirillov algebra and other examples (with I. Heckenberger).
Algebr. Represent. Theory 22 (2019), no. 6, 1513–1532
 Skew left braces of nilpotent type (with F. Cedó, A. Smoktunowicz).
Proc. Lond. Math. Soc. (3) 118 (2019), no. 6, 13671392
 On structure groups of settheoretic solutions to the YangBaxter equation (with V. Lebed).
Proc. Edinb. Math. Soc. (2) 62 (2019), no. 3, 683717
 Problems on skew left braces. Adv. Group Theory Appl. 7 (2019), 1537
 A characterization of multipermutation solutions of the YangBaxter equation (with D. Bachiller and F. Cedó).
Publ. Mat. 62 (2018), no. 2, 641649
 YangBaxter operators in symmetric categories (with J. Guccione and J. Guccione).
Comm. Algebra 46 (2018), no. 7, 28112845
 On skew braces (with an appendix by N. Byott) (with A. Smoktunowicz).
J. Comb. Algebra 2 (2018), no. 1, 47–86
 Doubly transitive groups and cyclic quandles.
J. Math. Soc. Japan 69 (2017), no. 3, 1051–1057
 An explicit description of the second cohomology group of a quandle (with A. García Iglesias).
Math. Z. 286 (2017), no. 34, 10411063
 The classification of Nichols algebras with finite root system of rank two (with I. Heckenberger).
J. Eur. Math. Soc. (JEMS) 19 (2017), no. 7, 1977–2017.
 Skew braces and the YangBaxter equation (with L. Guarnieri).
Math. Comp. 86 (2017), no. 307, 2519–2534
 Hopf braces and YangBaxter operators (with I. Angiono, C. Galindo).
Proc. Amer. Math. Soc. 145 (2017), no. 5, 19811995
 A classification of Nichols algebras of semisimple YetterDrinfeld modules over nonabelian groups (with I. Heckenberger).
J. Eur. Math. Soc. (JEMS) 19 (2017), no. 2, 299356
 Homology of left nondegenerate settheoretic solutions to the YangBaxter equation (with V. Lebed).
Adv. Math. 304 (2017), 12191261
 Cohomology and extensions of braces (with V. Lebed).
Pacific J. Math. 284 (2016), no. 1, 191212
 Quandle coloring and cocycle invariants of composite knots and abelian extensions (with W. E. Clark, M. Saito).
J. Knot Theory Ramifications 25 (2016), no. 5, 1650024, 34 pp.

Extensions of settheoretic solutions of the YangBaxter equation and a conjecture of GatevaIvanova.
J. Pure Appl. Alg. 220 (2016), no. 5, 20642076
 Nichols algebras with many cubic relations (with I. Heckenberger, A. Lochmann).
Trans. Amer. Math. Soc. 367 (2015), no. 9, 63156356
 Nichols algebras over groups with finite root system of rank two III (with. I. Heckenberger).
J. Algebra 422 (2015), 223–256
 Frobenius property for fusion categories of small integral dimension (with J. Dong, S. Natale).
J. Algebra Appl. 14 (2015), no. 2, 1550011 (17 pages)
 Nichols algebras over groups with finite root system of rank two II (with I. Heckenberger).
J. Group Theory 17 (2014), no. 6, 10091034
 Nichols algebras associated to the transpositions of the symmetric group are twistequivalent.
Proc. Amer. Math. Soc. 140 (2012), no. 11, 37153723
 On the classification of quandles of low order.
J. Knot Theory Ramifications 21 (2012), no. 9, 1250088
 Braided racks, Hurwitz actions and Nichols algebras with many cubic relations (with I. Heckenberger, A. Lochmann).
Transform. Groups 17 (2012), no. 1, 157194
 Nichols algebras of group type with many quadratic relations (with M. Graña, I. Heckenberger).
Adv. Math. 227 (2011), no. 5, 19561989
 Pointed Hopf algebras over the sporadic simple groups (with N. Andruskiewitsch, F. Fantino, M. Graña).
J. Algebra 325 (2011) 305320, logs
 The logbook of Pointed Hopf algebras over the sporadic simple groups (with N. Andruskiewitsch, F. Fantino, M. Graña).
J. Algebra 325 (2011) 282304
 Finitedimensional pointed Hopf algebras with alternating groups are trivial (with N. Andruskiewitsch, F. Fantino, M. Graña).
Ann. Mat. Pura Appl. (4) 190 (2011), no. 2, 225245
 Pointed Hopf algebras over some sporadic simple groups (with N. Andruskiewitsch, F. Fantino, M.
Graña).
C. R. Math. Acad. Sci. Paris 348 (2010) 605608
 On Nichols algebras over PGL(2,q) and PSL(2,q) (with S. Freyre, M. Graña).
J. Algebra Appl., Vol. 9, No. 2 (2010) 195208, logs
 On Nichols algebras over SL(2,q) and GL(2,q) (with S. Freyre, M. Graña).
J. Math. Phys. 48, 123513 (2007)
Proceedings and others
 Quantum invariants via Hopf algebras and solutions to the YangBaxter equation.
A Concise Encyclopedia of Knot Theory, to appear
 Some problems on skew braces and the YangBaxter equation.
Algebraic Tools for Solving the YangBaxter Equation, Oberwolfach Rep. 51 (2019), no. ?, ?–?
 FominKirillov algebras.
Nichols algebras and Weyl groupoids, Oberwolfach Rep. 9 (2013), no. 4, 2889–2891
 On twisted conjugacy classes of type D in sporadic simple groups (with F. Fantino).
Hopf Algebras and Tensor Categories, Contemp. Math. 585 (2013) 247259, logs
 On Nichols algebras associated to simple racks (with N. Andruskiewitsch, F. Fantino, G. García).
Groups, Algebras and Applications, Contemp. Math. 537 (2011) 3156
 On twisted homogeneous racks of type D (with N. Andruskiewitsch, F. Fantino, G. García).
The Humboldt Kolleg Colloquium on Hopf Algebras, Quantum Groups and Tensor Categories, Rev. Un. Mat. Argentina 51 2(2010) 116
Lecture notes
My software
Mathematics

YangBaxter (with A. Konovalov). A GAP package for settheoretical solutions of the YBE, braces, racks and quandles, cycle sets...

Rig (with M. Graña). A GAP package for racks, quandles, and Nichols algebras
 Python/Sage script for Nichols algebras and derivations
 Sarna (with M. Graña and I. Heckenberger)
Software written in Python to calculate the Arithmetic Root System associated to a braiding of diagonal type
Just for fun
Links
Mathematics
Software
I use Slackware. To build packages I use
slackbuilds.org; the sources are available
here. Other sources for precompiled packages: Eric Hameleers (Alien BOB) and www.slackware.uk,
PhD Students
 Emiliano Acri (from 2018)
 Santiago Ramírez (from 2019)
Postdocs
 Marco Bonatto (20192020)
Personal homepages and coauthors
Emiliano Acri,
Nicolás Andruskiewitsch,
Iván Angiono,
David Bachiler,
Nigel Byott,
Ferran Cedó,
Edwin Clark,
Jingcheng Dong,
Fernando Fantino,
César Galindo,
Agustín García Iglesias,
Gastón García,
Matías Graña,
István Heckenberger,
Eric Jespers,
Alexander Konovalov,
Lucasz Kubat,
Victoria Lebed,
Simon Lentner,
Andreas Lochmann,
Rafał Lutowski,
Martín Mombelli,
Sonia Natale,
Masahico Saito,
Agata Smoktunowicz,
Arne Van Antwerpen,
Cristian Vay,
Robert Weston
Updated: 8/2020