FERNANDO LUCATELLI NUNES

Ph.D. in Mathematics

 

My research contributions have revolved around the theory and applications of low and higher dimensional categorical structures, mostly with a viewpoint from two and three-dimensional universal algebra.

Currently, I am studying Computer Sciences at Utrecht University, under the supervision of Dr. Matthijs Vákár. My main interests in Computer Sciences have revolved around Types and Programming Languages.

 

      Research

      Talks

      Academic positions/stays

      Organization of seminars/events

      Mathematical Genealogy

      Further information

 

Papers:

Published articles:

• Lucatelli Nunes, Fernando. Pseudoalgebras and non-canonical isomorphisms. Applied Categorical Structures, v. 27, n 1, pp 55-63. 2019. (arXiv)
• Lucatelli Nunes, Fernando.  On lifting of biadjoints and lax algebras. Categories and General Algebraic Structures with Applications, v. 9, n. 1, pp 29-58. 2018. (arXiv)
• Lucatelli Nunes, Fernando.  Pseudo-Kan Extensions and Descent Theory. Theory and Applications of Categories, v. 33, no. 15, pp 390-444. 2018. (arXiv)
• Lucatelli Nunes, Fernando. On biadjoint triangles. Theory and Applications of Categories, v. 31, n. 9, p. 217-256. 2016. (arXiv)
• Lucatelli Nunes, Fernando. Espaços não reversíveis. Revista Matemática Universitária, v. 48, n. 49, p. 22-26. 2012.

Submitted/under revision:

• Lucatelli Nunes, Fernando.  Freely generated n-categories, coinserters and presentations of low dimensional categories. arXiv:1704.04474. 2017.
• Lucatelli Nunes, Fernando. Semantic Factorization and Descent. arXiv:1902.01225. 2019.
• Lucatelli Nunes, Fernando. Descent Data and Absolute Kan Extensions. arXiv:1906.00517. 2019.
• Clementino, Maria Manuel and Lucatelli Nunes, Fernando. Lax comma 2-categories and admissible 2-functors. arXiv:2002.03132. 2020.