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**Giacomo Albanese** (11 July 1890 – 8 June 1948) was an Italian mathematician known for his work in algebraic geometry. He took a permanent position in the University of São Paulo, Brazil, in 1936.

**Italy**, officially the **Italian Republic**, is a country in Southern Europe. Located in the middle of the Mediterranean Sea, Italy shares open land borders with France, Switzerland, Austria, Slovenia and the enclaved microstates San Marino and Vatican City. Italy covers an area of 301,340 km^{2} (116,350 sq mi) and has a largely temperate seasonal and Mediterranean climate. With around 61 million inhabitants, it is the fourth-most populous EU member state and the most populous country in Southern Europe.

A **mathematician** is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

**Algebraic geometry** is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros.

Giacomo Albanese attended the school in Palermo. He graduated from there in 1909. Then he entered the Scuola Normale Superiore at Pisa as a student of mathematics. He received his doctorate in 1913. He was awarded the * Ulisse Dini * prize for his doctoral essay on the topic *Continuous systems of curves on an algebraic surface*.

**Palermo** is a city of Southern Italy, the capital of both the autonomous region of Sicily and the Metropolitan City of Palermo. The city is noted for its history, culture, architecture and gastronomy, playing an important role throughout much of its existence; it is over 2,700 years old. Palermo is located in the northwest of the island of Sicily, right by the Gulf of Palermo in the Tyrrhenian Sea.

**Ulisse Dini** was an Italian mathematician and politician, born in Pisa. He is known for his contribution to real analysis, partly collected in his book "*Fondamenti per la teorica delle funzioni di variabili reali*".

In mathematics, an **algebraic function** is a function that can be defined as the root of a polynomial equation. Quite often algebraic functions are algebraic expressions using a finite number of terms, involving only the algebraic operations addition, subtraction, multiplication, division, and raising to a fractional power. Examples of such functions are:

- O'Connor, John J.; Robertson, Edmund F., "Giacomo Albanese",
*MacTutor History of Mathematics archive*, University of St Andrews . - Giacomo Albanese at the Mathematics Genealogy Project

**Edmund Frederick Robertson** is a Professor emeritus of pure mathematics at the University of St Andrews.

The **MacTutor History of Mathematics archive** is a website maintained by John J. O'Connor and Edmund F. Robertson and hosted by the University of St Andrews in Scotland. It contains detailed biographies on many historical and contemporary mathematicians, as well as information on famous curves and various topics in the history of mathematics.

The **University of St Andrews** is a British public university in St Andrews, Fife, Scotland. It is the oldest of the four ancient universities of Scotland and the third oldest university in the English-speaking world. St Andrews was founded between 1410 and 1413, when the Avignon Antipope Benedict XIII issued a papal bull to a small founding group of Augustinian clergy.

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**Alexander Grothendieck** was a French mathematician who became the leading figure in the creation of modern algebraic geometry. His research extended the scope of the field and added elements of commutative algebra, homological algebra, sheaf theory and category theory to its foundations, while his so-called "relative" perspective led to revolutionary advances in many areas of pure mathematics. He is considered by many to be the greatest mathematician of the 20th century.

**Paul Richard Halmos** was a Hungarian-born American mathematician who made fundamental advances in the areas of mathematical logic, probability theory, statistics, operator theory, ergodic theory, and functional analysis. He was also recognized as a great mathematical expositor. He has been described as one of The Martians.

**Saunders Mac Lane** was an American mathematician who co-founded category theory with Samuel Eilenberg.

**Oscar Zariski** was a Russian-born American mathematician and one of the most influential algebraic geometers of the 20th century.

In relation with the history of mathematics, the **Italian school of algebraic geometry** refers to the work over half a century or more done internationally in birational geometry, particularly on algebraic surfaces. There were in the region of 30 to 40 leading mathematicians who made major contributions, about half of those being in fact Italian. The leadership fell to the group in Rome of Guido Castelnuovo, Federigo Enriques and Francesco Severi, who were involved in some of the deepest discoveries, as well as setting the style.

**Solomon Lefschetz** was an American mathematician who did fundamental work on algebraic topology, its applications to algebraic geometry, and the theory of non-linear ordinary differential equations.

In mathematics, the **Jacobian variety** *J(C)* of a non-singular algebraic curve *C* of genus *g* is the moduli space of degree 0 line bundles. It is the connected component of the identity in the Picard group of *C*, hence an abelian variety.

**Albanese** is an Italian surname meaning "Albanian", in reference to the Arbëreshë people (Italo-Albanians) of southern Italy. Among people who have the surname it is common in southern Italy and rare elsewhere in the country. Notable people with the surname include:

**Serge Lang** was a French-American mathematician and activist who taught at Yale University for most of his career. He is known for his work in number theory and for his mathematics textbooks, including the influential *Algebra*. He received the Frank Nelson Cole Prize in 1960 and was a member of the Bourbaki group. As an activist, he campaigned successfully against the nomination of the political scientist Samuel P. Huntington to the National Academies of Science, and later descended into AIDS denialism, claiming that HIV had not been proven to cause AIDS and protesting Yale's research into HIV/AIDS.

**Sir Vaughan Frederick Randal Jones** is a New Zealand mathematician, known for his work on von Neumann algebras and knot polynomials. He was awarded a Fields Medal in 1990, and famously wore a New Zealand rugby jersey when he gave his acceptance speech in Kyoto.

**Michael Artin** is an American mathematician and a professor emeritus in the Massachusetts Institute of Technology mathematics department, known for his contributions to algebraic geometry.

In mathematics, the **Albanese variety** *A*(*V*), named for Giacomo Albanese, is a generalization of the Jacobian variety of a curve.

**James Gilbert Glimm** is an American mathematician, former president of the American Mathematical Society, and distinguished professor at Stony Brook University. He has made many contributions in the areas of pure and applied mathematics.

**Hyman Bass** is an American mathematician, known for work in algebra and in mathematics education. From 1959 to 1998 he was Professor in the Mathematics Department at Columbia University. He is currently the Samuel Eilenberg Distinguished University Professor of Mathematics and Professor of Mathematics Education at the University of Michigan.

In algebra, which is a broad division of mathematics, **abstract algebra** is the study of algebraic structures. Algebraic structures include groups, rings, fields, modules, vector spaces, lattices, and algebras. The term *abstract algebra* was coined in the early 20th century to distinguish this area of study from the other parts of algebra.

**Toshikazu Sunada** is a Japanese mathematician and author of many books and essays on mathematics and mathematical sciences. He is professor of mathematics at Meiji University, Tokyo, and is also professor emeritus of Tohoku University, Tohoku, Japan. Before he joined Meiji University in 2003, he was professor of mathematics at Nagoya University (1988–1991), at the University of Tokyo (1991–1993), and at Tohoku University (1993–2003). Sunada was involved in the creation of the School of Interdisciplinary Mathematical Sciences at Meiji University and is its first dean (2013–2017).

**Christopher Derek Hacon** is a mathematician with British, Italian and US nationalities. He is currently distinguished professor of mathematics at the University of Utah where he holds a Presidential Endowed Chair. His research interests include algebraic geometry.

**Dionisio Gallarati** is an Italian mathematician, who specialised in algebraic geometry. He was a major influence on the development of algebra and geometry at the University of Genova.

**Giacomo Bellacchi** (1838–1924) was an Italian mathematician.