Fernando Abellan Garcia

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

Higher category theory, categorified homological algebra.

• (Joint with T. Dyckerhoff and W. Stern) A relative 2-nerve. Algebr. Geom. Topol. 20-6 (2020), 3147–3182 (available on arXiv:1910.06223)
• (Joint with W. Stern) Theorem A for marked 2-categories. Prepint. (available on arXiv:2002.12817)
• Marked colimits and higher cofinality. Prepint. (aavailable on arXiv:2006.12416 )
• (Joint with W. Stern) Enhanced twisted arrow categories. Prepint. (available on arXiv:2009.11969)
• (Joint with W. Stern) 2-Cartesian fibrations I: A model for ∞-bicategories fibred in ∞-bicategories. Prepint. (available on rXiv:2106.03606)