ANTS (conference)
Encyclopedia
Algorithmic Number Theory Symposium (ANTS) is a biennial academic conference
, first held in Cornell in 1994, constituting an international forums for the presentation of new research in computational number theory
. They are devoted to algorithmic aspects of number theory
, including elementary number theory, algebraic number theory
, analytic number theory
, geometry of numbers
, algebraic geometry
, finite fields, and cryptography
.
has established a prize to be awarded to those individuals who have authored the best paper accepted for presentation at ANTS. The prize, called the Selfridge Prize, will normally be awarded every two years in an even numbered year. The prize winner(s) will receive a cash award and a certificate. The successful paper will be selected by the ANTS Program Committee.
The Selfridge Prize at the ANTS VII meeting was awarded to Werner Bley and Robert Boltje for their paper Computation of locally free class groups. The Prize at ANTS VIII was awarded to Juliana Belding, Reinier Bröker, Andreas Enge and Kristin Lauter
for their paper Computing Hilbert Class Polynomials. The Prize at ANTS IX was awarded to John Voight (mathematician) (University of Vermont
) for his paper "Computing automorphic forms on Shimura curves over fields with arbitrary class number"
of ANTS are published in the Springer
series Lecture Notes in Computer Science
. The Lecture Notes in Computer Science are now also published electronically.
Academic conference
An academic conference or symposium is a conference for researchers to present and discuss their work. Together with academic or scientific journals, conferences provide an important channel for exchange of information between researchers.-Overview:Conferences are usually composed of various...
, first held in Cornell in 1994, constituting an international forums for the presentation of new research in computational number theory
Computational number theory
In mathematics, computational number theory, also known as algorithmic number theory, is the study of algorithms for performing number theoretic computations...
. They are devoted to algorithmic aspects of number theory
Number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers. Number theorists study prime numbers as well...
, including elementary number theory, algebraic number theory
Algebraic number theory
Algebraic number theory is a major branch of number theory which studies algebraic structures related to algebraic integers. This is generally accomplished by considering a ring of algebraic integers O in an algebraic number field K/Q, and studying their algebraic properties such as factorization,...
, analytic number theory
Analytic number theory
In mathematics, analytic number theory is a branch of number theory that uses methods from mathematical analysis to solve problems about the integers. It is often said to have begun with Dirichlet's introduction of Dirichlet L-functions to give the first proof of Dirichlet's theorem on arithmetic...
, geometry of numbers
Geometry of numbers
In number theory, the geometry of numbers studies convex bodies and integer vectors in n-dimensional space. The geometry of numbers was initiated by ....
, algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...
, finite fields, and cryptography
Cryptography
Cryptography is the practice and study of techniques for secure communication in the presence of third parties...
.
Selfridge Prize
In honour of the many contributions of John Selfridge to mathematics, the Number Theory FoundationNumber Theory Foundation
The Number Theory Foundation is a non-profit organization based in the United States which supports research and conferences in the field of number theory.The NTF funds the Selfridge prize which is awarded at the ANTS conferences....
has established a prize to be awarded to those individuals who have authored the best paper accepted for presentation at ANTS. The prize, called the Selfridge Prize, will normally be awarded every two years in an even numbered year. The prize winner(s) will receive a cash award and a certificate. The successful paper will be selected by the ANTS Program Committee.
The Selfridge Prize at the ANTS VII meeting was awarded to Werner Bley and Robert Boltje for their paper Computation of locally free class groups. The Prize at ANTS VIII was awarded to Juliana Belding, Reinier Bröker, Andreas Enge and Kristin Lauter
Kristin Lauter
Kristin Lauter is an American mathematician and cryptographer whose research interest is broadly in application of number theory and algebraic geometry in cryptography. She is particularly known for her work in the area of elliptic curve cryptography...
for their paper Computing Hilbert Class Polynomials. The Prize at ANTS IX was awarded to John Voight (mathematician) (University of Vermont
University of Vermont
The University of Vermont comprises seven undergraduate schools, an honors college, a graduate college, and a college of medicine. The Honors College does not offer its own degrees; students in the Honors College concurrently enroll in one of the university's seven undergraduate colleges or...
) for his paper "Computing automorphic forms on Shimura curves over fields with arbitrary class number"
Proceedings
The refereed ProceedingsProceedings
In academia, proceedings are the collection of academic papers that are published in the context of an academic conference. They are usually distributed as printed books either before the conference opens or after the conference has closed. Proceedings contain the contributions made by researchers...
of ANTS are published in the Springer
Springer Science+Business Media
- Selected publications :* Encyclopaedia of Mathematics* Ergebnisse der Mathematik und ihrer Grenzgebiete * Graduate Texts in Mathematics * Grothendieck's Séminaire de géométrie algébrique...
series Lecture Notes in Computer Science
Lecture Notes in Computer Science
Lecture Notes in Computer Science is a series of computer science books that has been published by Springer Science+Business Media since 1973....
. The Lecture Notes in Computer Science are now also published electronically.
ANTS IX (2010)
- Dates: 19 - 23 July 2010
- Location: INRIA (Nancy, France)
- Local organizers: Anne-Lise Charbonnier, Jérémie Detrey, Pierrick Gaudry, Emmanuel Thomé, and Paul ZimmermannPaul ZimmermannPaul Zimmermann is a French computational mathematician, working at INRIA.His interests include asymptotically-fast arithmetic — he wrote a book on algorithms for computer arithmetic with Richard Brent. He has developed some of the fastest available code for manipulating polynomials over...
- Proceedings: LNCS 6197
- Web site: http://ants9.org
ANTS VIII (2008)
- Dates: 17 - 22 May 2008
- Location: Banff CentreBanff CentreThe Banff Centre, formerly known as The Banff Centre for Continuing Education, is an arts, cultural, and educational institution and conference complex located in Banff, Alberta...
(AlbertaAlbertaAlberta is a province of Canada. It had an estimated population of 3.7 million in 2010 making it the most populous of Canada's three prairie provinces...
, CanadaCanadaCanada is a North American country consisting of ten provinces and three territories. Located in the northern part of the continent, it extends from the Atlantic Ocean in the east to the Pacific Ocean in the west, and northward into the Arctic Ocean...
) - Organizers: Mark Bauer (University of CalgaryUniversity of CalgaryThe University of Calgary is a public research university located in Calgary, Alberta, Canada. Founded in 1966 the U of C is composed of 14 faculties and more than 85 research institutes and centres.More than 25,000 undergraduate and 5,500 graduate students are currently...
), Josh HoldenJosh HoldenJoshua Derek Adam Holden is a professional ice hockey centre. He was drafted in the first round, 12th overall, by the Vancouver Canucks in the 1996 NHL Entry Draft...
(Rose-Hulman Institute of TechnologyRose-Hulman Institute of TechnologyRose–Hulman Institute of Technology , formerly Rose Polytechnic Institute, is a small private college specializing in teaching engineering, mathematics, and science. RHIT is highly regarded for its undergraduate engineering program, which US News and World Reports ranked in 2011 as No...
), Mike Jacobson (University of Calgary), Renate Scheidler (University of Calgary) and Jon SorensonJon SorensonJonathan "Jon" Sorenson is an American academic and educator and the chair of the computer science department at Butler University.-Biography:...
(Butler UniversityButler UniversityButler University is a private university located in Indianapolis, Indiana. Founded in 1855 and named after founder Ovid Butler, the university offers 60 degree programs to 4,400 students through six colleges: business, communication, education, liberal Arts and sciences, pharmacy and health...
) - Proceedings: LNCS 5011
- Web site: http://ants.math.ucalgary.ca/
ANTS VII (2006)
- Dates: 23 - 28 July 2006
- Location: Technische Universität Berlin (BerlinBerlinBerlin is the capital city of Germany and is one of the 16 states of Germany. With a population of 3.45 million people, Berlin is Germany's largest city. It is the second most populous city proper and the seventh most populous urban area in the European Union...
, GermanyGermanyGermany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
) - Organizers: Florian Heß, Sebastian Pauli, Michael Pohst
- Proceedings: LNCS 4076
- Web site: http://www.math.tu-berlin.de/~kant/ants/
ANTS VI (2004)
- Dates: 13 - 18 June 2004
- Location: University of VermontUniversity of VermontThe University of Vermont comprises seven undergraduate schools, an honors college, a graduate college, and a college of medicine. The Honors College does not offer its own degrees; students in the Honors College concurrently enroll in one of the university's seven undergraduate colleges or...
(Burlington, VermontBurlington, VermontBurlington is the largest city in the U.S. state of Vermont and the shire town of Chittenden County. Burlington lies south of the U.S.-Canadian border and some south of Montreal....
, USA) - Organizers: Duncan Buell, Jonathan W. Sands, David S. Dummit
- Proceedings: LNCS 3076; Poster Abstracts
- Web site: http://web.ew.usna.edu/~ants/
ANTS V (2002)
- Dates: 7-12 July 2002
- Location: University of SydneyUniversity of SydneyThe University of Sydney is a public university located in Sydney, New South Wales. The main campus spreads across the suburbs of Camperdown and Darlington on the southwestern outskirts of the Sydney CBD. Founded in 1850, it is the oldest university in Australia and Oceania...
(SydneySydneySydney is the most populous city in Australia and the state capital of New South Wales. Sydney is located on Australia's south-east coast of the Tasman Sea. As of June 2010, the greater metropolitan area had an approximate population of 4.6 million people...
, AustraliaAustraliaAustralia , officially the Commonwealth of Australia, is a country in the Southern Hemisphere comprising the mainland of the Australian continent, the island of Tasmania, and numerous smaller islands in the Indian and Pacific Oceans. It is the world's sixth-largest country by total area...
) - Organizers: John Cannon, Claus Fieker, David Kohel
- Proceedings: LNCS 2369
- Web site: http://magma.maths.usyd.edu.au/antsv/index.html
ANTS IV (2000)
- Dates: 2-7 July 2000
- Location: University of Leiden (Leiden, NetherlandsNetherlandsThe Netherlands is a constituent country of the Kingdom of the Netherlands, located mainly in North-West Europe and with several islands in the Caribbean. Mainland Netherlands borders the North Sea to the north and west, Belgium to the south, and Germany to the east, and shares maritime borders...
) - Organizers: Peter Stevenhagen, Wieb Bosma
- Proceedings: LNCS 1838
- Web site: http://www.math.leidenuniv.nl/~desmit/ants4/
ANTS III (1998)
- Dates: 21-25 June 1998
- Location: Reed CollegeReed CollegeReed College is a private, independent, liberal arts college located in southeast Portland, Oregon. Founded in 1908, Reed is a residential college with a campus located in Portland's Eastmoreland neighborhood, featuring architecture based on the Tudor-Gothic style, and a forested canyon wilderness...
(PortlandPortland, OregonPortland is a city located in the Pacific Northwest, near the confluence of the Willamette and Columbia rivers in the U.S. state of Oregon. As of the 2010 Census, it had a population of 583,776, making it the 29th most populous city in the United States...
, OregonOregonOregon is a state in the Pacific Northwest region of the United States. It is located on the Pacific coast, with Washington to the north, California to the south, Nevada on the southeast and Idaho to the east. The Columbia and Snake rivers delineate much of Oregon's northern and eastern...
, USA) - Organizer: Joe Buhler
- Proceedings: LNCS 1423
- Web site: http://www.reed.edu/ants/
ANTS II (1996)
- Dates: 18-23 May 1996
- Location: University of BordeauxUniversity of BordeauxUniversity of Bordeaux is an association of higher education institutions in and around Bordeaux, France. Its current incarnation was established 21 March 2007. The group is the largest system of higher education schools in southwestern France. It is part of the Academy of Bordeaux.There are seven...
(BordeauxBordeauxBordeaux is a port city on the Garonne River in the Gironde department in southwestern France.The Bordeaux-Arcachon-Libourne metropolitan area, has a population of 1,010,000 and constitutes the sixth-largest urban area in France. It is the capital of the Aquitaine region, as well as the prefecture...
, FranceFranceThe French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...
) - Organizers: Henri Cohen, Michel Olivier
- Proceedings: LNCS 1122
ANTS I (1994)
- Dates: 6-9 May 1994
- Location: Cornell UniversityCornell UniversityCornell University is an Ivy League university located in Ithaca, New York, United States. It is a private land-grant university, receiving annual funding from the State of New York for certain educational missions...
(IthacaIthacaIthaca or Ithaka is an island located in the Ionian Sea, in Greece, with an area of and a little more than three thousand inhabitants. It is also a separate regional unit of the Ionian Islands region, and the only municipality of the regional unit. It lies off the northeast coast of Kefalonia and...
, New YorkNew YorkNew York is a state in the Northeastern region of the United States. It is the nation's third most populous state. New York is bordered by New Jersey and Pennsylvania to the south, and by Connecticut, Massachusetts and Vermont to the east...
, USA) - Organizers: Len Adleman, Ming-Deh Huang
- Proceedings: LNCS 877 (out of print)