David Bryant Mumford is an American mathematician known for his work in algebraic geometry and then for research into vision and pattern theory. He won the Fields Medal and was a MacArthur Fellow. In 2010 he was awarded the National Medal of Science. He is currently a University Professor Emeritus in the Division of Applied Mathematics at Brown University.
Gregorio Ricci-Curbastro was an Italian mathematician. He is most famous as the discoverer of tensor calculus.
In algebraic geometry, Brill–Noether theory, introduced by Alexander von Brill and Max Noether (1874), is the study of special divisors, certain divisors on a curve C that determine more compatible functions than would be predicted. In classical language, special divisors move on the curve in a "larger than expected" linear system of divisors.
Francesco Severi was an Italian mathematician. He was the chair of the committee on Fields Medal on 1936, at the first delivery.
Cesare Arzelà was an Italian mathematician who taught at the University of Bologna and is recognized for his contributions in the theory of functions, particularly for his characterization of sequences of continuous functions, generalizing the one given earlier by Giulio Ascoli in the Arzelà–Ascoli theorem.
Antonio Luigi Gaudenzio Giuseppe Cremona was an Italian mathematician. His life was devoted to the study of geometry and reforming advanced mathematical teaching in Italy. He worked on algebraic curves and algebraic surfaces, particularly through his paper Introduzione ad una teoria geometrica delle curve piane, and was a founder of the Italian school of algebraic geometry.
Joseph Daniel Harris is a mathematician at Harvard University working in the field of algebraic geometry. After earning an AB from Harvard College, he continued at Harvard to study for a PhD under Phillip Griffiths.
Phillip Augustus Griffiths IV is an American mathematician, known for his work in the field of geometry, and in particular for the complex manifold approach to algebraic geometry. He was a major developer in particular of the theory of variation of Hodge structure in Hodge theory and moduli theory. He also worked on partial differential equations, coauthored with Shiing-Shen Chern, Robert Bryant and Robert Gardner on Exterior Differential Systems.
Lamberto Cesari was an Italian mathematician naturalized in the United States, known for his work on the theory of surface area, the theory of functions of bounded variation, the theory of optimal control and on the stability theory of dynamical systems: in particular, by extending the concept of Tonelli plane variation, he succeeded in introducing the class of functions of bounded variation of several variables in its full generality.
In classical algebraic geometry, the genus–degree formula relates the degree d of an irreducible plane curve with its arithmetic genus g via the formula:
Guido Zappa was an Italian mathematician and a noted group theorist: his other main research interests were geometry and also the history of mathematics. Zappa was particularly known for some examples of algebraic curves that strongly influenced the ideas of Francesco Severi.
Carlo Somigliana was an Italian mathematician and a classical mathematical physicist, faithful member of the school of Enrico Betti and Eugenio Beltrami. He made important contributions to linear elasticity: the Somigliana integral equation, analogous to Green's formula in potential theory, and the Somigliana dislocations are named after him. Other fields he contribute to include seismic wave propagation, gravimetry and glaciology. One of his ancestors was Alessandro Volta: precisely, the great Como physicist was an ancestor of Carlo's mother, Teresa Volta.
Aldo Andreotti was an Italian mathematician who worked on algebraic geometry, on the theory of functions of several complex variables and on partial differential operators. Notably he proved the Andreotti–Frankel theorem, the Andreotti–Grauert theorem, the Andreotti–Vesentini theorem and introduced, jointly with François Norguet, the Andreotti–Norguet integral representation for functions of several complex variables.
Corrado de Concini is an Italian mathematician and professor at the Sapienza University of Rome. He studies algebraic geometry, quantum groups, invariant theory, and mathematical physics.
Pia Maria Nalli was an Italian mathematician known for her work on the summability of Fourier series, on Morera's theorem for analytic functions of several variables and for finding the solution to the Fredholm integral equation of the third kind for the first time. Her research interests ranged from algebraic geometry to functional analysis and tensor analysis; she was a speaker at the 1928 International Congress of Mathematicians.
Marino Pannelli was an Italian mathematician, specializing in algebraic geometry.
In algebraic geometry, a quasi-coherent sheaf on an algebraic stack is a generalization of a quasi-coherent sheaf on a scheme. The most concrete description is that it is the data consists of, for each a scheme S in the base category and in , a quasi-coherent sheaf on S together with maps implementing the compatibility conditions among 's.
Umberto Zannier is an Italian mathematician, specializing in number theory and Diophantine geometry.
Barbara Fantechi is an Italian mathematician and Professor at the International School for Advanced Studies. Her research area is algebraic geometry. She is a member of the Accademia dei Lincei.
Umberto Bottazzini is an Italian historian of mathematics, writing on the history of mathematics and the foundations of mathematics.
