Born: November 29, 1943
Academic career
Doctor in Mathematics, Università di Genova, 1966
CNR Scholarship (1967-1969)
Assistant and Associate Professor, Università di Genova (1969-1981)
Full Professor, Università di Genova (1981-2010)
Retired in November 2010
(under a Contract of Teaching and Research at Università di Genova, from November 2010 to October 2014).
Visiting Teaching and Research Positions
Maître de Conférences, Université d'Alger, DZ (1971-1973).
Visitor
Université de Paris VII, F (1980-81)
FernUniversitaet Hagen, D (1992)
Dalhousie University, Halifax, Can (1994, 1997, 2000, 2006, 2016)
University of North Wales, Bangor, GB (1995)
Université Catholique de Louvain-la-Neuve, B (1999, 2001)
Instituto Superior Técnico, Lisboa, P (2004)
D.P.M.M.S, Cambridge, GB (2005)
C.I.R.M., Marseille Luminy, F (2006).
University of Cape Town, ZA (2009, 2013, 2017)
Shahid Beheshti University, Tehran, Iran (2017)
Guest Editor of two special issues:
- Homotopy Theory, Appl. Categ. Struct. Vol. 12, n. 1 (2004).
- Directed Algebraic Topology and Category Theory, Appl. Categ. Struct. Vol. 15, n. 4 (2007).
Research activities
Interests. Category theory; weak double categories; weak or lax higher categories of cubical or multiple type; functorial factorisations.
Homological algebra; its interactions with distributive lattices and orthodox semigroups; representations of spectral sequences; non-abelian extensions.
Foundations of homotopy theory. Coherence in higher dimensional homotopy theory and higher dimensional category theory. Coherent algebras. Homotopy categories, weak limits and weak subobjects, homotopical exactness. Higher fundamental groupoids.
Combinatorial homotopy and homology, with applications to the analysis of images.
Directed Algebraic Topology; directed homotopy and homology of simplicial sets, cubical sets, directed spaces, inequilogical spaces, etc. Higher fundamental categories and lax categories. Weighted Algebraic Topology. Links with noncommutative geometry.
Categories of cospans and cobordisms.
Offices
Direttore dell'Istituto di Matematica dell'Università di Genova, 1983-85
e-mail: grandis@dima.unige.it