Adriano Mario Garsia (born 20 August 1928) is a

Tunis ''Tounsi'' french: Tunisois , population_note = , population_urban = , population_metro = 2658816 , population_density_km2 = , timezone1 = CET , utc_offset1 ...

ian-born Italian American mathematician who works in

analysis Analysis ( : analyses) is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (3 ...

, combinatorics,

representation theory Representation theory is a branch of mathematics that studies abstract algebraic structures by ''representing'' their elements as linear transformations of vector spaces, and studies modules over these abstract algebraic structures. In essen ...

, and algebraic geometry. He is a student of

Charles Loewner Charles Loewner (29 May 1893 – 8 January 1968) was an American mathematician. His name was Karel Löwner in Czech and Karl Löwner in German. Karl Loewner was born into a Jewish family in Lany, about 30 km from Prague, where his father Sig ...

and has published work on representation theory,

symmetric function In mathematics, a function of n variables is symmetric if its value is the same no matter the order of its arguments. For example, a function f\left(x_1,x_2\right) of two arguments is a symmetric function if and only if f\left(x_1,x_2\right) = f ...

s, and algebraic combinatorics. He and

Mark Haiman Mark David Haiman is a mathematician at the University of California at Berkeley who proved the Macdonald positivity conjecture for Macdonald polynomials. He received his Ph.D in 1984 in the Massachusetts Institute of Technology under the direct ...

made the N!_conjecture. He is also the namesake of the

Garsia–Wachs algorithm The Garsia–Wachs algorithm is an efficient method for computers to construct optimal binary search trees and alphabetic Huffman codes, in linearithmic time. It is named after Adriano Garsia and Michelle L. Wachs. Problem description The input ...

for

optimal binary search tree In computer science, an optimal binary search tree (Optimal BST), sometimes called a weight-balanced binary tree, is a binary search tree which provides the smallest possible search time (or expected search time) for a given sequence of accesses ...

s, which he published with his student Michelle L. Wachs in 1977. Born to

Italian Tunisians Italian Tunisians (or Italians of Tunisia) are Tunisians of Italian descent. Migration and colonization, particularly during the 19th century, led to significant numbers of Italians settling in Tunisia. Italian presence in Tunisia The presenc ...

Tunis ''Tounsi'' french: Tunisois , population_note = , population_urban = , population_metro = 2658816 , population_density_km2 = , timezone1 = CET , utc_offset1 ...

on 20 August 1928, Garsia moved to

Rome , established_title = Founded , established_date = 753 BC , founder = King Romulus (legendary) , image_map = Map of comune of Rome (metropolitan city of Capital Rome, region Lazio, Italy).svg , map_caption ...

in 1946. , he had 36 students and at least 200 descendants, according to the data at the

Mathematics Genealogy Project The Mathematics Genealogy Project (MGP) is a web-based database for the academic genealogy of mathematicians.. By 31 December 2021, it contained information on 274,575 mathematical scientists who contributed to research-level mathematics. For a ty ...

. He was on the faculty of the

University of California, San Diego The University of California, San Diego (UC San Diego or colloquially, UCSD) is a public land-grant research university in San Diego, California. Established in 1960 near the pre-existing Scripps Institution of Oceanography, UC San Diego is t ...

. He retired in 2013 after 57 years at UCSD as a founding member of the Mathematics Department. At his 90 Birthday Conference in 2019, it was notable that he was the oldest principal investigator of a grant from the National Science Foundation in the country. In 2012, he became a fellow of the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

.List of Fellows of the American Mathematical Society
Retrieved 19 January 2013.

Books by A. Garsia

* Adriano M. Garsia, ''Topics in Almost Everywhere Convergence'', Lectures in Advanced Mathematics Volume 4, Markham Publishing Co., Chicago, Ill., 1970. * Adriano M. Garsia, ''Martingale inequalities: Seminar Notes on Recent Progress'', Mathematics Lecture Notes Series, W. A. Benjamin, Inc., Reading, Mass.-London-Amsterdam, 1973. * Adriano M. Garsia and

, ''Orbit Harmonics and Graded Representations'', Research Monograph, to appear as part of the collection published by the Laboratoire de Combinatoire et d'Informatique Mathématique, edited by S. Brlek,

Université du Québec à Montréal The Université du Québec à Montréal (English: University of Quebec in Montreal), also known as UQAM, is a French-language public university based in Montreal, Quebec, Canada. It is the largest constituent element of the Université du Qué ...

. * Adriano M. Garsia and Ömer Eğecioğlu, ''Lessons in Enumerative Combinatorics'', Graduate Texts in Mathematics 290, Springer Nature, Switzerland AG, 2021. ISBN 978-3-030-71249-5.

References

External links

* 1928 births Living people Italian emigrants to the United States 20th-century American mathematicians 21st-century American mathematicians Stanford University alumni University of California, San Diego faculty Fellows of the American Mathematical Society People from Tunis Combinatorialists Scientists from California Italian expatriates in Tunisia {{US-mathematician-stub