### Talks

#### 2024

- TBA. Biracks and Biquandles: Theory, applications, and new perspectives, Leeds, UK.
- Nichols algebras over groups. Algebra Seminar, Leeds, UK.
- What is a skew brace? Algebraic and combinatorial perspectives in the mathematical sciences, Oslo, Norway.
- Convex sets and sums of squares. Brussels Summer School of Mathematics, Brussels, Belgium.
- Nichols algebras. Algebraic structures in the Yang-Baxter equation, Edinburgh, UK.
- Nichols algebras over groups. Seminar on Quantum groups, Hopf algebras and monoidal categories, Brussels, Belgium.
- L-algebras: The Yang-Baxter equation and algebraic logic. JLU Colloquium, Beijing, China.
- L-algebras: The Yang-Baxter equation and algebraic logic. The Interplay between skew braces and Hopf-Galois theory, Exeter, UK.
- Nichols algebras: an overview. Oberwolfach mini-workshop: Bridging Number Theory and Nichols Algebras via Deformations, Germany.

#### 2023

- On the classification of Nichols Algebras. Algebra Seminar, The University of Edinburgh, UK.
- Groups, rings and the Yang-Baxter equation. Workshop on Geometric Methods in Physics. Bialowieza, Poland.
- Some problems on skew braces. Advances in Group Theory and Applications. Lecce, Italy.
- Nichols algebras. European Quantum Algebra Lectures (EQuAL). Virtual seminar.
- Some problems on skew braces. The Interplay between skew braces and Hopf-Galois theory. Keele University, UK.
- Algebra with GAP (mini-course). CIMPA School: Crossroads of geometry, representation theory and higher structures. Puerto Madryn, Argentina. [notes]
- Skew braces, cabling and indecomposable solutions to the Yang-Baxter equation. Categories, Rings and Modules, a conference in honor of Alberto Facchini. Padova, Italy.
- Pre-Lie algebras and braces. Oberwolfach mini-workshop: Skew braces and the Yang-Baxter equation, Germany.

#### 2022

- Algebra with GAP (mini-course, 6 hours). Vrije Universiteit Brussel. With Jan de Beule. [slides]
- Multipermutation solutions and the Yang-Baxter equation. Hopf algebras, monoidal categories and related topics. Bucharest, Romania.
- Left-ordered groups, Garside groups and structure groups of solutions. Algebra days in Caen, France.
- The Yang-Baxter equation and algebraic logic. Nicolaus Copernicus University, Toruń, Poland.
- Multipermutation solutions of the Yang-Baxter equation, Ferran Cedó retirement. Barcelona, Spain.
- Radical rings, braces and the Yang-Baxter equation. Braces in Bracelets Bay. LMS Regional Meeting. Swansea, UK.

#### 2021

- Groups, rings and the Yang-Baxter equation. Seminar on Quantum groups, Hopf algebras and monoidal categories, Brussels, Belgium.
- Groups, rings and the Yang-Baxter equation. Geometry and Algebra Seminar in Newcastle, UK.
- Radical rings, braces and the Yang-Baxter equation. ECOLE CIMPA: Non-associative algebras and their applications, Virtual meeting.
- Set theoretical solutions to the Yang-Baxter equation. II Encuentro de Álgebra y Teoría de Nudos, Virtual meeting.

#### 2020

- Problems on skew braces. Harish-Chandra Research Institute, India. Virtual seminar.
- Radical rings and the Yang-Baxter equation. Grupo de teoría de Lie. Virtual seminar.
- Algebra with GAP. AARMS mini-course, Dalhousie University, Halifax, Canada. [videos] [slides and problems]

#### 2019

- New developments in the theory of radical rings. Pure Maths Colloquium, University of St Andrews, St Andrews, UK.
- On the classification of Nichols algebras. MAXIMALS Seminar, University of Edinburgh, Edinburgh, UK.
- Skew braces and the Yang–Baxter equation. Groups, rings and associated structures. Spa, Belgium.

#### 2018

- Radford’s bosonization theorem and Nichols algebras (mini-course, 6 hours). University of Edinburgh, UK.
- Skew braces and the Yang-Baxter equation (mini-course, 4 hours). Vrije Universiteit Brussel, Belgium.
- Radical rings, braces and the Yang-Baxter equation. Exeter, UK.
- Nichols algebras (mini-course, 4 hours). Workshop Tensor categories, Hopf algebras and quantum groups, Marburg, Germany.

#### 2017

- Nichols algebras. Seminario de álgebra, Universidad Autónoma de Barcelona, Spain.
- Set-theoretical solutions of the Yang-Baxter equation. University of St Andrews, UK.
- Skew braces. Groups, rings and the Yang–Baxter equation. Spa, Belgium.
- Set-theoretical solutions of the Yang–Baxter equation. MIT, USA.
- The combinatorics of the Yang–Baxter equation. MAXIMALS Seminar, University of Edinburgh, UK.
- Nichols algebras. Warsaw University, Poland.
- Set-theoretical solutions of the Yang–Baxter equation. Warsaw University, Poland.
- Nichols algebras and applications. Dublin Mathematics Colloquium, Geometry Seminar, Trinity College, Dublin, UK.
- Set-theoretical solutions of the Yang–Baxter equation. Séminaire Quantique, Strasbourg, France.
- Set-theoretical solutions of the Yang–Baxter equation. Universidad Autónoma de Barcelona, Spain.
- The combinatorics of the Yang–Baxter equation. Oberseminare am IAZ, Stuttgart, Germany.

#### 2016

- Nichols algebras. XXI Coloquio Latinoamericano de Álgebra, Buenos Aires, Argentina.
- The combinatorics of the Yang–Baxter equation. Mathematische Gesellschaft in Göttingen, Germany.
- The classification of Nichols algebras. Humboldt Kolleg. Colloquium on Algebras and Representations – Quantum 2016, Córdoba, Argentina.

#### 2015

- Pecios y quandles (mini-course, Spanish). Universidad de Talca, Chile. [notes]
- El grupoide de Weyl (mini-course, Spanish). Encuentro Rioplatense de Álgebra y Geometría. [notes]
- Nichols algebras over non-abelian groups. Nichols Algebras and their interactions with Lie theory, Hopf Algebras and Tensor Categories, Banff, Canada. [video]

#### 2014

- Nichols algebras over non-abelian groups. Coloquio Latinoamericano de Álgebra, Lima, Perú.
- Introducción al álgebra con GAP (mini-course, 8 hours), Universidad de Chile, Santiago de Chile. [notes]
- The classification of Nichols algebras (mini-course, 6 hours). Summer School on Conformal Field Theories and Nichols algebras, Rauischholzhausen, Germany. [notes]
- Introducción a la teoría combinatoria de nudos (mini-course, 3 hours). ElENA VII, Córdoba, Argentina.
- Nichols algebras. Universidad de Talca, Talca, Chile.
- Nichols algebras and Weyl groupoids of rank two. Colóquio de Álgebra e Representações - Quantum 2014, Santa Maria, Brazil.
- Doubly transitive groups and cyclic quandles. Università di Ferrara, Italy.
- Nichols algebras and a combinatorial model for Schubert calculus. ICTP, Trieste, Italy.

#### 2013

- Nichols algebras with root systems of rank two. Quantum day. Facultad de Matemática, Astronomía, Física y Computación, Córdoba, Argentina.

#### 2012

- Fomin-Kirillov algebras. Nichols algebras and Weyl groupoids, Oberwolfach, Germany. [slides]
- Nichols algebras. Séminaire Lotharingien de Combinatoire 69, Strobl, Austria.
- About the classification of finite-dimensional pointed Hopf algebras. Groups, Rings, Lie and Hopf Algebras. III, Deer Lake, Canada.
- Hopf algebras and applications (mini-course). With N. Andruskiewitsch. AARMS Summer School, St. Johns, Canada.
- Nichols algebras and Weyl groupoids of rank two. Oberseminar Kombinatorik und Algebra, Philipps Universität, Marburg, Germany.
- Introduction to cluster algebras. Forschungsseminar Mathematische Physik, Philipps Universität, Marburg, Germany.
- Nichols algebras and quadratic relations. Universidad de Almería, Spain.
- Nichols algebras and quadratic relations. Atlantic Algebra Center, Memorial University, St. John’s, Canada.
- Nichols algebras and quadratic relations. Hamburg Universität, Germany.
- An introduction to Nichols algebras. Hamburg Universität, Germany.
- Nichols algebras and Schubert Calculus. Forschungsseminar Mathematische Physik, Philipps Universität, Marburg, Germany.

### 2010

- Pointed Hopf algebras over non-abelian groups. RWTH Aachen University, Germany.
- Quandles and knot invariants. Forschungsseminar Mathematische Physik, Philipps Universität, Marburg, Germany.

### 2009

- Nichols algebras over non-abelian groups. XVIII Congreso Latinoamericano de Álgebra. Sao Pedro, Brazil.
- A GAP package for racks and Nichols algebras. Advanced School and Conference on Knot Theory. ICTP, Trieste, Italy.

### 2008

- Pointed Hopf algebras over the sporadic simple groups. First Debrún Workshop on Computational Algebra. National University of Ireland, Galway, Ireland.