About

I am an Associate Professor at the Departament of Mathematics and Applications, CURE, Universidad de la República, of which I am the Director.

My work is on Category Theory. Sometimes I venture into the theory of Hopf Algebras.

Contact

✉️ Departamento de Matemática y Aplicaciones CURE Universidad de la República Tacuarembó s/n Maldonado, Uruguay

📧 ilopez at cure dot edu dot uy

Publications

• A. Bruguières, M. Haim and ILF. Slack Hopf monads. Journal of Algebra 642 (2024), pp. 1-48. Link.
• M. M. Clementino and ILF. Lax orthogonal factorisations in ordered structures. Theory and Applications of Categories, v. 35 pp. 1379 - 1423, (2020). Link.
• ILF. Cofibrantly generated lax orthogonal factorisation systems. Applied Categorical Structures 27, 463–492 (2019). Link.
• M. Hyland, ILF and C. Vasilakopoulou. Hopf measuring comonoids and enrichment. Proceedings of the London Mathematical Society. 115 (2017) pp. 1118–1148. Link.
• M. M. Clementino and ILF. Lax orthogonal factorisations in monad-quantale-enriched categories. Logical Methods in Computer Science, September 27, 2017, Volume 13, Issue 3. Link.
• M. Aguiar, M. Haim and ILF. Monads on Higher Monoidal Categories. Applied Categorical Structures 26, 413–458 (2018). Link.
• M. M. Clementino and IFL. Lax orthogonal factorisation systems. Advances in Mathematics 302 (2016) pp. 458–528. Link.
• R. Garner and ILF. Commutativity. Journal of Pure and Applied Algebra 220 (2016) pp. 1707–1751.
• ILF, Tensor products of finitely cocomplete and abelian categories. Journal of Algebra 396 (2013) pp. 207–219.
• ILF, Pseudo-commutativity of KZ 2-monads. Advances in Mathematics 228 (2011) pp. 2557–2605.
• ILF, R. Street and R. J. Wood, Duals invert. Applied Categorical Structures 19 (2011) pp. 321–362.
• ILF, Formal Hopf algebra theory II: lax centres. Journal of Pure and Applied Algebra 213 (2009) pp. 2038–2054.
• ILF, Formal Hopf algebra theory I: Hopf modules for pseudomonoids. Journal of Pure and Applied Algebra 213 (2009) pp. 1046–1063.
• W. Ferrer Santos and ILF, Monoidal categories of comodules for quasi Hopf algebras and Radford’s formula. In Algebras, representations and applications, Contemporary Mathematics 483 (2009) pp. 107–135.

Last updated December 6, 2025.