Lecture Notes
Material concerning lectures I gave.
Talk presentations
Presentations for my seminars and talks.
- On a correspondence between ideal coideals and coideal subrings of Hopf algebroids, "Tenth Congress of Romanian Mathematicians", University of Piteşti, Piteşti (Romania).
- From left ideal two-sided coideals to normal Hopf ideals in Hopf algebroids, and groupoids, "New Trends in Hopf Algebras and Monoidal Categories", University of Turin, Turin (Italy).
- Smash and crossed product decompositions of universal enveloping algebras and Lie-Rinehart algebra connections, "Hopf algebras, monoidal categories and related topics", Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest (Romania).
- From left ideal two-sided coideals to normal Hopf ideals in Hopf algebroids, and groupoids, "Noncommutative Geometry and Higher Structures", Scalea (Italy).
- Sul Problema dell’Integrazione per gli Algebroidi di Lie, "Welcome Home 2021", Universitŕ di Torino, Torino (Italy). December 2021.
- A mathematical overview of universal enveloping algebras and their universal properties, "Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds", ESI, Vienna (Austria). September 2021. (recording)
- Globalization for geometric partial comodules, "Category Theory 2021", Universitŕ degli Studi di Genova, Genova (Italy). August-September 2021. (recording)
- Globalization for geometric partial comodules, "ItaCa Fest 2021", online. June 2021. (recording)
- Globalization for geometric partial comodules, "Categories and Companions Symposium", online. June 2021. (recording)
- Globalization for geometric partial comodules, "Quantum Groups Seminar", online. May 2021.
- A gentle introduction of the Connes-Moscivici's bialgebroid and its universal properties, "Welcome Home 2020", Universitŕ di Torino, Torino (Italy).
- A pair of Frobenius pairs for Hopf modules, "Rings, Modules, and Hopf Algebras", Universidad de Almeria, Almeria (Spain). May 2019.
- Dalle Algebre di Frobenius ai Funtori di Frobenius, alla Teoria delle Algebre di Hopf, "Welcome Home 2018", Universitŕ di Torino, Torino (Italy). December 2018.
- Tannaka-Krein reconstruction and coquasi-bialgebras with preantipode, "SIC - Séminaire Itinérant de Catégories", Université de Lille, Lille (France). October 2018.
- An Hopf Algebroid Approach to Jets Spaces and Lie Algebroid Integration, "GTM Seminar: some topics in Commutative Algebra and Algebraic Geometry", Politecnico di Milano, Milan (Italy). July 2018.
- On Lie-Rinehart algebras and complete duals of co-commutative Hopf algebroids, "Brussels Hopf Algebra Workshop 2017", Université libre de Bruxelles, Bruxelles (Belgium). August 2017.
- A duality result for (dual) quasi-bialgebras, 1 hour seminar, IEMath, Granada (Spain). November 2015.
- The Structure Theorem for quasi-Hopf bimodules: from quasi-antipodes to preantipodes, "III Congreso de Jovenes Investigadores de la RSME", Universidad de Murcia (Spain). September 2015.
- On the Structure Theorem for Quasi-Hopf Bimodules, "New trends in Hopf algebras and tensor categories", Royal Flemish Academy of Belgium for Science and the Arts, Bruxelles (Belgium). June 2015.
- Il preantipode ed il Teorema Fondamentale di Struttura per i quasi-bimoduli di Hopf, Mathematics Ph.D. Seminars, Department of Mathematics "G. Peano", University of Turin (Italy). December 2014.
- Il preantipode ed il Teorema Fondamentale di Struttura per i quasi-bimoduli di Hopf, seminar, Department of Mathematics and Computer Science, University of Ferrara (Italy). August 2014.
Posters
Posters I presented.
- Globalization for Geometric Partial Comodules, CIMPA school "From Dynamics to Algebra and Representation Theory and Back'', Universidade Federal de Santa Catarina (UFSC). February 2022.
- More on Frobenius and Hopf, spring school "Topics in Category Theory'', International Centre for Mathematical Sciences, Edinburgh, (UK). March 2020.
- On Frobenius and Hopf, CIMPA school "Research School on Quantum Simmetries'', Universidad de los Andes, Bogotá (Colombia). July 2019.
- Antipodes vs Preantipodes, "Aspects of Higher Representation Theory: Quantum Groups and Categorification'', VUB, Bruxelles (Belgium). January 2019.
- Antipodes vs Preantipodes, "Quantum 60, Colloquium on Algebra and Representations'', Huerta Grande, Cordoba (Argentina). December 2018.
Conferences, Workshops, Seminars
Conferences, Workshops and Seminars that I have (co)organized.
- I am currently organizing a cycle of Mathematics PhD and Postdoc Seminars at the ULB.
- Hopf Days in Brussels 2023. 4-5 September 2023, ULB (Belgium)
- BSSM - Brussels Summer School in Mathematics 2023. 28 August-1 September 2023, ULB (Belgium)
- Second ANTIPODE workshop. 12-13 September 2022, ULB (Belgium)
- BSSM - Brussels Summer School in Mathematics 2022, 29 August-2 September 2022, ULB (Belgium)
- Advances in Hopf Algebroids. 7 July 2021, online
- Mini-workshop: A Categorical Day in Turin. 11 May 2017, University of Turin (Italy).
- StefFest - Brauer groups, Hopf algebras and monoidal categories. A conference in honour of Stef Caenepeel on the occasion of his 60th birthday. 24-27 May 2017, University of Turin (Italy).
- Workshop on Hopf Algebras and Related Topics. 21-22 January 2016, University of Turin (Italy).
- Ferrara Algebra Workshop, a Congress in Honor of Prof. Claudia Menini. 17-18 September 2015, University of Ferrara (Italy).
Outreach and public engagement
Other activities I took part into.