Algorithmic Number Theory Symposium (ANTS) is a biennial

academic conference An academic conference or scientific conference (also congress, symposium, workshop, or meeting) is an event for researchers (not necessarily academics) to present and discuss their scholarly work. Together with academic or scientific journals an ...

, first held in

Cornell Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...

in 1994, constituting an international forum for the presentation of new research in

computational number theory In mathematics and computer science, computational number theory, also known as algorithmic number theory, is the study of computational methods for investigating and solving problems in number theory and arithmetic geometry, including algorithms ...

. They are devoted to algorithmic aspects of

number theory Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777� ...

, including elementary number theory,

algebraic number theory Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic ob ...

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 Peter Gustav Lejeune Dirichlet's 1837 introduction of Diric ...

geometry of numbers Geometry of numbers is the part of number theory which uses geometry for the study of algebraic numbers. Typically, a ring of algebraic integers is viewed as a lattice in \mathbb R^n, and the study of these lattices provides fundamental information ...

, arithmetic geometry,

finite fields In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtra ...

, and

cryptography Cryptography, or cryptology (from grc, , translit=kryptós "hidden, secret"; and ''graphein'', "to write", or ''-logia'', "study", respectively), is the practice and study of techniques for secure communication in the presence of adver ...

Selfridge Prize

In honour of the many contributions of John Selfridge to mathematics, the Number Theory Foundation 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, is awarded every two years in an even numbered year. The prize winner(s) receive a cash award and a sculpture. The prize winners and their papers selected by the ANTS Program Committee are: * 2006 – ANTS VII – Werner Bley and Robert Boltje – ''Computation of locally free class groups''. * 2008 – ANTS VIII – Juliana Belding, Reinier Bröker, Andreas Enge and

Kristin Lauter Kristin Estella Lauter (born 1969) 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 elli ...

– ''Computing hilbert class polynomials''. * 2010 – ANTS IX – John Voight – ''Computing automorphic forms on Shimura curves over fields with arbitrary class number''. * 2012 – ANTS X – Andrew Sutherland – ''On the evaluation of modular polynomials''. * 2014 – ANTS XI – Tom Fisher – ''Minimal models for 6-coverings of elliptic curves''. * 2016 – ANTS XII – Jan Steffen Müller and Michael Stoll – ''Computing canonical heights on elliptic curves in quasi-linear time''. * 2018 – ANTS XIII – Michael Musty, Sam Schiavone, Jeroen Sijsling and John Voight – ''A database of Belyĭ maps''. * 2020 – ANTS XIV – Jonathan Love and Dan Boneh – ''Supersingular curves with small non-integer endomorphisms''. * 2022 – ANTS XV –

Harald Helfgott Harald Andrés Helfgott (born 25 November 1977) is a Peruvian mathematician working in number theory. Helfgott is a researcher ('' directeur de recherche'') at the CNRS at the Institut Mathématique de Jussieu, Paris. Early life and education ...

and Lola Thompson – ''Summing mu(n): a faster elementary algorithm''.

Proceedings

Prior to ANTS X, the refereed

Proceedings In academia and librarianship, conference proceedings is a collection of academic papers published in the context of an academic conference or workshop. Conference proceedings typically contain the contributions made by researchers at the confere ...

of ANTS were published in the Springer

Lecture Notes in Computer Science ''Lecture Notes in Computer Science'' is a series of computer science books published by Springer Science+Business Media since 1973. Overview The series contains proceedings, post-proceedings, monographs, and Festschrifts. In addition, tutorials, ...

(LNCS). The proceedings of ANTS X, ANTS XIII, and ANTS XIV were published in the

Mathematical Sciences Publishers Mathematical Sciences Publishers is a nonprofit publishing company run by and for mathematicians. It publishes several journals and the book series ''Geometry & Topology Monographs''. It is run from a central office in the Department of Mathemati ...

Open Book Series (OBS). The proceedings of ANTS XI and ANTS XII were published as a special issue of the LMS Journal of Computation and Mathematics (JCM). The proceedings for ANTS XV will be published in

Research in Number Theory ''Research in Number Theory'' is a peer-reviewed mathematics journal covering number theory and arithmetic geometry. The editors-in-chief are Jennifer Balakrishnan (Boston University), Florian Luca (University of Witwatersrand), Ken Ono (Universit ...

Conferences

* 1994: ANTS I –

Cornell University Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to teach an ...

(

Ithaca, NY Ithaca is a city in the Finger Lakes region of New York, United States. Situated on the southern shore of Cayuga Lake, Ithaca is the seat of Tompkins County and the largest community in the Ithaca metropolitan statistical area. It is named a ...

, USA) �
LNCS 877
* 1996: ANTS II – Universite Bordeaux 1 ( Talence, FR) �
LNCS 1122
* 1998: ANTS III – Reed College ( Portland, OR, USA) �
LNCS 1423
* 2000
ANTS IV
– Universiteit Leiden (

Leiden Leiden (; in English and archaic Dutch also Leyden) is a city and municipality in the province of South Holland, Netherlands. The municipality of Leiden has a population of 119,713, but the city forms one densely connected agglomeration wit ...

, NL) �
LNCS 1838
* 2002
ANTS V
–

University of Sydney The University of Sydney (USYD), also known as Sydney University, or informally Sydney Uni, is a public research university located in Sydney, Australia. Founded in 1850, it is the oldest university in Australia and is one of the country's si ...

(

Sydney Sydney ( ) is the capital city of the state of New South Wales, and the most populous city in both Australia and Oceania. Located on Australia's east coast, the metropolis surrounds Sydney Harbour and extends about towards the Blue Mountain ...

, AU) �
LNCS 2369
* 2004: ANTS VI –

University of Vermont The University of Vermont (UVM), officially the University of Vermont and State Agricultural College, is a Public university, public Land-grant university, land-grant research university in Burlington, Vermont. It was founded in 1791 and is amon ...

( Burlington, VT, USA) �
LNCS 3076
* 2006
ANTS VII
– Technische Universität Berlin (

Berlin Berlin ( , ) is the capital and largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's most populous city, according to population within city limits. One of Germany's sixteen constitue ...

, DE) �
LNCS 4076
* 2008
ANTS VIII
– Banff Centre ( Banff, AB, CA) �
LNCS 5011
* 2010
ANTS IX
– INRIA ( Nancy, FR) �
LNCS 6197
* 2012
ANTS X
–

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

( San Diego, CA, USA) �
OBS 1
* 2014

– Hotel Hyundai (

Gyeongju Gyeongju ( ko, 경주, ), historically known as ''Seorabeol'' ( ko, 서라벌, ), is a coastal city in the far southeastern corner of North Gyeongsang Province in South Korea. It is the second largest city by area in the province after Andong, ...

, KR) �
JCM 17A
* 2016
ANTS XII
– University of Kaiserslautern (

Kaiserslautern Kaiserslautern (; Palatinate German: ''Lautre'') is a city in southwest Germany, located in the state of Rhineland-Palatinate at the edge of the Palatinate Forest. The historic centre dates to the 9th century. It is from Paris, from Frankfur ...

, DE) �
JCM 19A
* 2018
ANTS XIII
–

University of Wisconsin, Madison A university () is an institution of higher (or tertiary) education and research which awards academic degrees in several academic disciplines. Universities typically offer both undergraduate and postgraduate programs. In the United States, t ...

– ( Madison, WI, USA) �
OBS 2
* 2020
ANTS XIV
–

University of Auckland , mottoeng = By natural ability and hard work , established = 1883; years ago , endowment = NZD $293 million (31 December 2021) , budget = NZD $1.281 billion (31 December 2021) , chancellor = Cecilia Tarrant , vice_chancellor = Dawn F ...

(

Auckland Auckland (pronounced ) ( mi, Tāmaki Makaurau) is a large metropolitan city in the North Island of New Zealand. The List of New Zealand urban areas by population, most populous urban area in the country and the List of cities in Oceania by po ...

, NZ)^* * 2022
ANTS XV
–

University of Bristol , mottoeng = earningpromotes one's innate power (from Horace, ''Ode 4.4'') , established = 1595 – Merchant Venturers School1876 – University College, Bristol1909 – received royal charter , type ...

(

Bristol Bristol () is a city, ceremonial county and unitary authority in England. Situated on the River Avon, it is bordered by the ceremonial counties of Gloucestershire to the north and Somerset to the south. Bristol is the most populous city in ...

, UK) ^*Moved online due to

COVID-19 Coronavirus disease 2019 (COVID-19) is a contagious disease caused by a virus, the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The first known case was COVID-19 pandemic in Hubei, identified in Wuhan, China, in December ...

References

External links

ANTS web site
{{Authority control Cryptography conferences Theoretical computer science conferences Mathematics conferences Computational number theory Recurring events established in 1994