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Fernando Abellán García

I am a PhD student of Prof. Tobias Dyckerhoff, currently at Universität Hamburg.

Research interests:

• Higher category theory, categorified homological algebra.

Publications and Preprints:

• (Joint with T. Dyckerhoff and W. Stern) A relative 2-nerve.

  Algebr. Geom. Topol. 20-6 (2020), 3147-3182 (arXiv:1910.06223)

• (Joint with W. Stern) Theorem A for marked 2-categories.

  J. Pure & Applied Algebra, Vol.226, Issue 9, 2022 (arXiv:2002.12817)

• Marked colimits and higher cofinality.

  Homotopy Relat. Struct. 17, 1–22 (2022) (arXiv:2006.12416 )

• (Joint with W. Stern) Enhanced twisted arrow categories.

  Prepint.(arXiv:2009.11969)

• (Joint with W. Stern) 2-Cartesian fibrations I: A model for ∞-bicategories fibred in ∞-bicategories.

  Prepint.(arXiv:2106.03606)

• (Joint with W. Stern) 2-Cartesian fibrations II: Higher cofinality.

  Prepint.(arXiv:2201.09589)

Contact information:

Department of Mathematics Research Group: Algebra and number theory Bundesstr. 55 (Geomatikum) 20146 Hamburg

Room 340 phone: +49 40 42838-5197 email: fernando.abellan.garcia (at) uni-hamburg.de