Prof. Dr. Leandro Vendramin

Profile

Academic positionAssociate Professor, Senior Lecturer, Reader
Research fieldsAssociative rings and algebras,Nonassociative rings and algebras
KeywordsYang-Baxter-Gleichung, Hopf-Algebren, Skew braces, Nichols-Algebren, Weyl groupoids
Honours and awards

2025: Ferran Sunyer i Balaguer Prize

2016: Argentinian Academy of Sciences - Young Researcher Award

2012: Alexander von Humboldt Fellowship

Current contact address

CountryBelgium
CityBrüssel
InstitutionVrije Universiteit Brussel (VUB)
InstituteDepartment of Mathematics
Homepagehttp://leandrovendramin.org

Host during sponsorship

Prof. Dr. Istvan HeckenbergerFachbereich 12: Mathematik und Informatik, Philipps-Universität Marburg, Marburg
Start of initial sponsorship01/04/2012

Programme(s)

2011Humboldt Research Fellowship Programme for Postdocs

Publications (partial selection)

2022Akg\"{u}n, \"{O}. and Mereb, M. and Vendramin, L.: Enumeration of set-theoretic solutions to the Yang-Baxter equation. In: Math. Comp., 91, 2022, 1469--1481
2022Konovalov, A. and Smoktunowicz, A. and Vendramin, L.: Erratum to the paper "On skew braces and their ideals". In: Exp. Math., 31, 2022, 346
2022Lebed, Victoria and Vendramin, Leandro: Reflection equation as a tool for studying solutions to the Yang-Baxter equation. In: J. Algebra, 607, 2022, 360--380
2021Konovalov, Alexander and Smoktunowicz, Agata and Vendramin, Leandro: On skew braces and their ideals. In: Exp. Math., 30, 2021, 95--104
2021Jespers, E. and Kubat, \L . and Van Antwerpen, A. and Vendramin, L.: Radical and weight of skew braces and their applications to structure groups of solutions of the Yang-Baxter equation. In: Adv. Math., 385, 2021, Paper No. 107767, 20
2020Smoktunowicz, Agata and Vendramin, Leandro and Weston, Robert: Combinatorial solutions to the reflection equation. In: J. Algebra, 549, 2020, 268--290
2020Acri, E. and Lutowski, R. and Vendramin, L.: Retractability of solutions to the Yang-Baxter equation and p-nilpotency of skew braces. In: Internat. J. Algebra Comput., 30, 2020, 91--115
2019Jespers, E. and Kubat, \L . and Van Antwerpen, A. and Vendramin, L.: Factorizations of skew braces. In: Math. Ann., 375, 2019, 1649--1663
2019Lebed, Victoria and Vendramin, Leandro: On structure groups of set-theoretic solutions to the Yang-Baxter equation. In: Proc. Edinb. Math. Soc. (2), 62, 2019, 683--717
2019Heckenberger, I. and Vendramin, L.: PBW deformations of a Fomin-Kirillov algebra and other examples. In: Algebr. Represent. Theory, 22, 2019, 1513--1532
2019Vendramin, Leandro: Problems on skew left braces. In: Adv. Group Theory Appl., 7, 2019, 15--37
2019Ced\'{o}, Ferran and Smoktunowicz, Agata and Vendramin, Leandro: Skew left braces of nilpotent type. In: Proc. Lond. Math. Soc. (3), 118, 2019, 1367--1392
2018Bachiller, D. and Ced\'{o}, F. and Vendramin, L.: A characterization of finite multipermutation solutions of the Yang-Baxter equation. In: Publ. Mat., 62, 2018, 641--649
2018Smoktunowicz, Agata and Vendramin, Leandro: On skew braces (with an appendix by N. Byott and L. Vendramin). In: J. Comb. Algebra, 2, 2018, 47--86
2018Guccione, Jorge A. and Guccione, Juan J. and Vendramin, Leandro: Yang-Baxter operators in symmetric categories. In: Comm. Algebra, 46, 2018, 2811--2845
2017Heckenberger, I. and Vendramin, L.: A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups. In: J. Eur. Math. Soc. (JEMS), 19, 2017, 299--356
2017Garc\'{\i}a Iglesias, Agust\'{\i}n and Vendramin, Leandro: An explicit description of the second cohomology group of a quandle. In: Math. Z., 286, 2017, 1041--1063
2017Vendramin, Leandro: Doubly transitive groups and cyclic quandles. In: J. Math. Soc. Japan, 69, 2017, 1051--1057
2017Lebed, Victoria and Vendramin, Leandro: Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation. In: Adv. Math., 304, 2017, 1219--1261
2017Angiono, Iv\'{a}n and Galindo, C\'{e}sar and Vendramin, Leandro: Hopf braces and Yang-Baxter operators. In: Proc. Amer. Math. Soc., 145, 2017, 1981--1995
2017Guarnieri, L. and Vendramin, L.: Skew braces and the Yang-Baxter equation. In: Math. Comp., 86, 2017, 2519--2534
2017Heckenberger, Istv\'{a}n and Vendramin, Leandro: The classification of Nichols algebras over groups with finite root system of rank two. In: J. Eur. Math. Soc. (JEMS), 19, 2017, 1977--2017
2016Lebed, Victoria and Vendramin, Leandro: Cohomology and extensions of braces. In: Pacific J. Math., 284, 2016, 191--212
2016Vendramin, L.: Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova. In: J. Pure Appl. Algebra, 220, 2016, 2064--2076
2016Clark, W. Edwin and Saito, Masahico and Vendramin, Leandro: Quandle coloring and cocycle invariants of composite knots and abelian extensions. In: J. Knot Theory Ramifications, 25, 2016, 1650024, 34
2015Dong, Jingcheng and Natale, Sonia and Vendramin, Leandro: Frobenius property for fusion categories of small integral dimension. In: J. Algebra Appl., 14, 2015, 1550011, 17
2015Heckenberger, I. and Vendramin, L.: Nichols algebras over groups with finite root system of rank two III. In: J. Algebra, 422, 2015, 223--256
2015Heckenberger, I. and Lochmann, A. and Vendramin, L.: Nichols algebras with many cubic relations. In: Trans. Amer. Math. Soc., 367, 2015, 6315--6356
2014Heckenberger, Istv\'{a}n and Vendramin, Leandro: Nichols algebras over groups with finite root system of rank two II. In: J. Group Theory, 17, 2014, 1009--1034
2013Fantino, F. and Vendramin, L.: On twisted conjugacy classes of type D in sporadic simple groups. Hopf algebras and tensor categories. Amer. Math. Soc., Providence, RI, 2013. 247--259
2012Heckenberger, I. and Lochmann, A. and Vendramin, L.: Braided racks, Hurwitz actions and Nichols algebras with many cubic relations. In: Transform. Groups, 17, 2012, 157--194
2012Vendramin, L.: Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent. In: Proc. Amer. Math. Soc., 140, 2012, 3715--3723
2012Vendramin, L.: On the classification of quandles of low order. In: J. Knot Theory Ramifications, 21, 2012, 1250088, 10
2011Andruskiewitsch, N. and Fantino, F. and Gra\~{n}a, M. and Vendramin, L.: Finite-dimensional pointed Hopf algebras with alternating groups are trivial. In: Ann. Mat. Pura Appl. (4), 190, 2011, 225--245
2011Gra\~{n}a, M. and Heckenberger, I. and Vendramin, L.: Nichols algebras of group type with many quadratic relations. In: Adv. Math., 227, 2011, 1956--1989
2011Andruskiewitsch, N. and Fantino, F. and Garc\'{\i}a, G. A. and Vendramin, L.: On Nichols algebras associated to simple racks. Groups, algebras and applications. Amer. Math. Soc., Providence, RI, 2011. 31--56
2011Andruskiewitsch, N. and Fantino, F. and Gra\~{n}a, M. and Vendramin, L.: Pointed Hopf algebras over the sporadic simple groups. In: J. Algebra, 325, 2011, 305--320
2011Andruskiewitsch, N. and Fantino, F. and Gra\~{n}a, M. and Vendramin, L.: The logbook of pointed Hopf algebras over the sporadic simple groups. In: J. Algebra, 325, 2011, 282--304
2010Freyre, Sebasti\'{a}n and Gra\~{n}a, Mat\'{\i}as and Vendramin, Leandro: On Nichols algebras over PGL(2,q) and PSL(2,q). In: J. Algebra Appl., 9, 2010, 195--208
2010Andruskiewitsch, N. and Fantino, F. and Garc\'{\i}a, G. A. and Vendramin, L.: On twisted homogeneous racks of type D. In: Rev. Un. Mat. Argentina, 51, 2010, 1--16
2010Andruskiewitsch, N. and Fantino, F. and Gra\~{n}a, M. and Vendramin, L.: Pointed Hopf algebras over some sporadic simple groups. In: C. R. Math. Acad. Sci. Paris, 348, 2010, 605--608
2007Freyre, Sebasti\'{a}n and Gra\~{n}a, Mat\'{\i}as and Vendramin, Leandro: On Nichols algebras over SL(2,q) and GL(2,q). In: J. Math. Phys., 48, 2007, 123513, 11