CURRICULUM (December, 2024)

Carmine Di Fiore (born in Rome in 26/1/1967) obtains the Master degree in Mathematics with 
110/110 e lode in May 16, 1990, in the University of Rome "La Sapienza" (supervisor 
Wolf Gross). Then he is admitted in the same university in the Ph.D. in Mathematics 
and in 1996, in Padova, he defends his Ph.D. thesis (supervisor Paolo Zellini).
From March 2000 to September 30, 2004, he is a university researcher in the Dept of
Mathematics of the University of Rome "Tor Vergata". From October 1, 2004, he is associate
professor in the same sector and in the same University, and from October 1, 2007, to today
he is a confirmed associate professor.
From 2010 to 2020, under an Agreement of didactic-scientific collaboration between
"Tor Vergata" and "Lomonosov" Moscow State universities (LMSU), he organizes, together with
Eugene E. Tyrtyshnikov - Professor in LMSU and Director of the Institute of Numerical
Mathematics of the Russian Academy of Science (INM-RAS), Moscow -, the joint summer school
"Rome-Moscow school of Matrix Methods and Applied Linear Algebra"
(www.mat.uniroma2.it/~tvmsscho). Under the same Agreement, students of Tor Vergata have
prepared their Master degree theses in LMSU, and students of LMSU have attended teachings
and passed exams in Tor Vergata.
In the years 2021-2024, the Rome-Moscow school has had continuations, first in Sochi university
(Russia), as a summer school for russian students, and then in MSU-BIT university, Shenzhen (China),
as an international school, which has involved mainly russian and chinese students, and also
one italian student of the Master Course in Mathematics of Rome "Tor Vergata" University,
Damiano Ricci.

Carmine Di Fiore has held numerical mathematics teachings in Bachelor and Master
Courses of Mathematics, in Bachelors of Computer Science, Sciences and Technologies for
Media, and Civil Engineer. He has been supervisor of numerous bachelor and master theses,
and of the Ph.D. theses of Francesco Tudisco and Stefano Cipolla, now math researchers in 
European universities. Among his students, in Tor Vergata, there have been Cristiano Maria Verrelli, 
Gianluca Ceruti, Fabio Durastante, Piero Deidda and Alessandro Filippo, all of them now 
with a position in some university.

His research interests include the study of algorithms that use fast discrete
transforms and the associated low complexity matrix algebras L in solving numerically
linear algebra and optimization problems. Such algorithms become extremely efficient
when the problems involve structured matrices.
His scientific articles have dealt mainly on three subjects: displacement formulas for 
the decomposition of matrices, preconditioning techniques for solving linear
systems, algorithms for large scale unconstrained minimization.
In more recent studies, he has investigated spectral properties of projections of matrices A
in the spaces L (especially when A are non negative or positive definite), in order to make
them more efficient when used in preconditioning and optimization strategies, and has
observed as structured matrices are naturally involved in the study of Bernoulli numbers
and of the Jordan canonical form of a matrix.

He has held talks both in national meetings, such as the yearly
"Giornate di Algebra Lineare Numerica", and in International meetings such as
the Structured Numerical Linear Algebra meetings of Cortona, in Palazzone della
Scuola Normale Superiore. He has been invited speaker in the "2001 AMS-IMS-SIAM
Conference on Fast Algorithms in Mathematics, Computer Science and Engineering",
South Hadley MA, U.S.A., in the Moscow MMMA international meetings (2003, 2005, 2015, 2019).
organized by the Institutes LMSU, INM-RAS and SkolTech, Moscow, and in the School-Conference
"Tensor methods in Mathematics and Data Science" held in the University MSU-BIT 
(Moscow State University - Beijing Institute of Technology) of Shenzhen,
China (November, 2024). He has been visiting professor in the Math Department of the
Chinese University of Hong Kong (2005), and in the Lingnan University of Hong Kong (2024),
guest of prof. Raymond Chan, now vice-President of LUHK.