Contact me mszyld@dm.uba.ar, mszyld@dal.ca, Research Interests Category theory and its applications. In particular the extension to higher category theory of basic categorical concepts and results. Representation theory. In particular Galois and Tannaka theories, especially for topos. Publications 2020, A localization of bicategories via homotopies (joint with Descotte M.E. and Dubuc E. J.), Theory and Applications of Categories 35, 23, p.845-874. arXiv: 1805.05248. 2019, Lifting PIE limits with strict projections, Theory and Applications of Categories 34, 1, p.1-12. arXiv: 1809.04712.

• 2018, A general limit lifting theorem for 2-dimensional monad theory, Journal of Pure and Applied Algebra 222, 8, p.2359-2373. arXiv version:1702.03303.
• 2018, Sigma limits in 2-categories and flat pseudofunctors (joint with Descotte M.E. and Dubuc E. J.), Advances in Mathematics 333, p. 266-313. arXiv: 1610.09429.
• 2018, A construction of certain weak colimits and an exactness property of the 2-category of categories (joint with Descotte M.E. and Dubuc E. J.), Theory and Applications of Categories 33, 8, p.192-215. arXiv version:1610.02453.
• 2016, Tannaka theory over sup-lattices and descent for topoi (joint with Dubuc E. J.), Theory and Applications of Categories 31, p.852-906.
• 2013, A Tannakian Context For Galois Theory (joint with Dubuc E. J.), Advances In Mathematics 234, p. 528-549. arXiv:1110.6411.

Preprints

Talks

Feel free to contact me for more info on any of the talks below!

2020

2018

• Sigma limits and applications at CT OctoberFest 2018 , CUNY in New York, USA (abstract, slides).
• Homotopy for weak equivalences at CT2018 - International Category Theory Conference, at UAc in Ponta Delgada, Portugal (abstract, slides).
• Seminar talk at the Catégories supérieures, polygraphes et homotopie seminar at Paris Diderot, France (abstract).

2017

• At CT2017 - International Category Theory Conference, at UBC in Vancouver, Canada (abstract, slides).
• limit lifting at XXVI ERAG at ICAS in Buenos Aires, Argentina (spanish abstract, spanish slides).
• At the 5th Workshop on Categorical Methods in Non-Abelian Algebra, UCL in Louvain-la-Neuve, Belgium (abstract, slides).
• At the Catégories supérieures, polygraphes et homotopie seminar at Paris Diderot, France (abstract).

Previous talks

• 2016: At OU Algebra and Representation Theory Seminar, in Oklahoma, USA, "On flat functors" (abstract).
• 2016: At UCO Math club in Oklahoma, USA, "The universal properties that lie behind the objects" (abstract).
• 2014: A short course on "Classifying Topoi and Galois Theory" (spanish abstract) and a conference "Relations in a topos: a new example of a Tannakian category" (spanish abstract) at UNEMAT 2014 in Bogota, Colombia.
• 2012: Tannakian techniques in topos representation theory at IV Latin American Meeting at UNC in Cordoba, Argentina (abstract)
• 2011: A Tannakian context for Galois at XXI Encuentro Rioplatense de Algebra y Geometria at CMAT in Montevideo, Uruguay, (slides)
• 2010: A Tannakian approach to Grothendieck Galois theory at elENA V and at the annual UMA reunion (slides) in Argentina.

Teaching

Always check the links below for updated information on each course.

• 2017, second semester: Matemática 2 (Complementos de Matemática 3 para Física)
• 2016, second semester: Matemática 2 (Complementos de Matemática 3 para Física)
• 2016, first semester: Temas básicos de Categorías
• 2016, summer course: Análisis Matemático I (Biología)
• Previous courses