Consani is the namesake of the Consani–Scholten quintic, a quintic threefold that she described with Jasper Scholten in 2001,[Q3] and of the Connes–Consani plane connection, a relationship between the field with one element and certain group actions on projective spaces investigated by Consani with Alain Connes.[AC] She is also known for her work with Matilde Marcolli on Arakelov theory and noncommutative geometry.[NG]
Education and career
Consani was born January 9, 1963 in Chiavari. She earned a laurea in mathematics in 1986 at the University of Genoa, a doctorate (dottorato di ricerca) in 1992 from the University of Genoa and the University of Turin, and a second doctorate in 1996 from the University of Chicago. Her first doctoral dissertation was Teoria dell’ intersezione e K-teoria su varietà singolari, supervised by Claudio Pedrini, and her second dissertation was Double Complexes and Euler L-factors on Degenerations of Algebraic Varieties, supervised by Spencer Bloch.
She was a C. L. E. Moore instructor at the Massachusetts Institute of Technology from 1996 to 1999, overlapping with a research visit in 1998 to the University of Cambridge. After additional postdoctoral research at the Institute for Advanced Study, she became an assistant professor at the University of Toronto in 2000, and moved to Johns Hopkins in 2005.
|Q3.||Consani, Caterina; Scholten, Jasper (2001), "Arithmetic on a quintic threefold", International Journal of Mathematics, 12 (8): 943–972, doi:10.1142/S0129167X01001118, MR 1863287|
|NG.||Consani, Caterina; Marcolli, Matilde (2004), "Noncommutative geometry, dynamics, and ∞-adic Arakelov geometry", Selecta Mathematica, New Series, 10 (2): 167–251, arXiv:math/0205306, doi:10.1007/s00029-004-0369-3, MR 2080121|
|S1.||Connes, Alain; Consani, Caterina (2010), "Schemes over and zeta functions", Compositio Mathematica, 146 (6): 1383–1415, arXiv:0903.2024, doi:10.1112/S0010437X09004692, MR 2735370|
|AC.||Connes, Alain; Consani, Caterina (2011), "The hyperring of adèle classes", Journal of Number Theory, 131 (2): 159–194, doi:10.1016/j.jnt.2010.09.001, MR 2736850|
- Dieulefait, Luis; Pacetti, Ariel; Schütt, Matthias (2012), "Modularity of the Consani–Scholten quintic" (PDF), Documenta Mathematica, 17: 953–987, MR 3007681
- Thas, Koen (2016), "The Connes–Consani plane connection", Journal of Number Theory, 167: 407–429, doi:10.1016/j.jnt.2016.03.007, MR 3504054
- Manin, Yuri Ivanovic; Panchishkin, Alexei A. (2005), "Chapter 8: Arakelov Geometry and Noncommutative Geometry (d'après C. Consani and M. Marcolli)", Introduction to Modern Number Theory, Encyclopaedia of Mathematical Sciences, 49 (2nd ed.), Berlin: Springer-Verlag, pp. 415–460, doi:10.1007/3-540-27692-0_10, ISBN 978-3-540-20364-3, MR 2153714
- Curriculum vitae (PDF), Johns Hopkins University, 2018, retrieved 2018-10-21
- Caterina Consani at the Mathematics Genealogy Project