He is the son of the philosopher Guido Calogero. After his father was sentenced to national exile by fascist police, Francesco Calogero spent more than one year (1942) in Scanno, a small Italian village. After World War II, Calogero graduated "laurea in fisica" cum laude at University of Rome La Sapienza, on February 1958. He became Professor of Theoretical Physics, in the same university in 1976.
Calogero's scientific publications in English include five books and over 400 papers (about half with co-authors). His main research concerns integrable many-body problems. Several solvable many-body models and nonlinear evolution partial differential equations (PDEs) are named after Calogero in the mathematical physics literature. He also formulated the Calogero conjecture that quantum behavior is caused by the stochastic component of the local gravitational field due to the chaotic component of the motion of all particles of the Universe due to their mutual gravitational interaction. He also introduced a novel differential algorithm to evaluate all the zeros of any generic polynomial of arbitrary degree [F. Calogero, “Novel differential algorithm to evaluate all the zeros of any generic polynomial”, J. Nonlinear Math. Phys. 24, 469-472 (2017). DOI: 10.1080/14029251.2017.1375685].
For his profound contributions to the field of exactly solvable models in statistical mechanics and many-body physics, Calogero was a co-recipient of the American Physical Society's 2019 Dannie Heineman Prize for Mathematical Physics, alongside T. Bill Sutherland and Michel Gaudin.
Calogero served as Secretary-General of Pugwash Conferences on Science and World Affairs from 1989 to 1997, and from 1997 to 2002 as chair of the Pugwash Council, of which he still is an "ex-officio" member. He published (in Italian and English---some with co-authors) nearly 400 papers and several books on world affairs.
- Gaeta, Giuseppe (2000), "On the Cosmological Implications of the Calogero Conjecture", Modern Physics Letters A, 15 (20): 1329–1339, Bibcode:2000MPLA...15.1329G, CiteSeerX 10.1.1.27.5503, doi:10.1142/S0217732300001614.
- "2018 Stanley Corrsin Award Recipient".
- Members of the Governing Board 1966 to 2006 Archived 2009-09-04 at the Wayback Machine, Stockholm International Peace Research Institute, retrieved 2010-01-30.
- Abrams, Irwin (2001), The Nobel Peace Prize and the laureates: an illustrated biographical history, 1901-2001, Science History Publications/USA, p. 311, ISBN 978-0-88135-388-4.