Algorithmic Number Theory Symposium
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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 journal ...
, 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 a ...
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 algorithm ...
. 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 integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mat ...
, including
elementary 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 integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathe ...
, algebraic number theory, analytic number theory,
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 informatio ...
,
arithmetic geometry In mathematics, arithmetic geometry is roughly the application of techniques from algebraic geometry to problems in number theory. Arithmetic geometry is centered around Diophantine geometry, the study of rational points of algebraic varieties. ...
,
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, subt ...
, 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 John Lewis Selfridge (February 17, 1927 – October 31, 2010), was an American mathematician who contributed to the fields of analytic number theory, computational number theory, and combinatorics. Education Selfridge received his Ph.D. in 195 ...
to mathematics, the
Number Theory Foundation The Number Theory Foundation (NTF) is a non-profit organization based in the United States which supports research and conferences in the field of number theory, with a particular focus on computational aspects and explicit methods. The NTF funds ...
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 – ''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 Dan Boneh (; he, דן בונה) is an Israeli-American professor in applied cryptography and computer security at Stanford University. In 2016, Boneh was elected a member of the National Academy of Engineering for contributions to the theory and ...
– ''Supersingular curves with small non-integer endomorphisms''. * 2022 – ANTS XV – Harald Helfgott 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 Springer or springers may refer to: Publishers * Springer Science+Business Media, aka Springer International Publishing, a worldwide publishing group founded in 1842 in Germany formerly known as Springer-Verlag. ** Springer Nature, a multinationa ...
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, tutorial ...
(LNCS). The proceedings of ANTS X, ANTS XIII, and ANTS XIV were published in the Mathematical Sciences Publishers 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 ''LMS Journal of Computation and Mathematics'' was a peer-reviewed online mathematics journal covering computational aspects of mathematics published by the London Mathematical Society. The journal published its first article in 1998 and ceased op ...
(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 tea ...
( Ithaca, NY, USA)
LNCS 877
* 1996: ANTS II – Universite Bordeaux 1 (
Talence Talence (, ; oc, Talança, ; ca, Talença, ) is a commune in the Gironde department, administrative region of Nouvelle-Aquitaine, France. It is the third-largest suburb of the city of Bordeaux, and is adjacent to it on the south side. It is ...
, FR)
LNCS 1122
* 1998: ANTS III –
Reed College Reed College is a private liberal arts college in Portland, Oregon. Founded in 1908, Reed is a residential college with a campus in the Eastmoreland neighborhood, with Tudor-Gothic style architecture, and a forested canyon nature preserve at ...
(
Portland, OR Portland (, ) is a port city in the Pacific Northwest and the largest city in the U.S. state of Oregon. Situated at the confluence of the Willamette and Columbia rivers, Portland is the county seat of Multnomah County, the most populous coun ...
, USA)
LNCS 1423
* 2000
ANTS IV
Universiteit Leiden Leiden University (abbreviated as ''LEI''; nl, Universiteit Leiden) is a public research university in Leiden, Netherlands. The university was founded as a Protestant university in 1575 by William, Prince of Orange, as a reward to the city of Le ...
(
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 wi ...
, 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 ...
( Sydney, 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 land-grant research university in Burlington, Vermont. It was founded in 1791 and is among the oldest universities in the United ...
(
Burlington, VT Burlington is the List of municipalities in Vermont, most populous city in the U.S. state of Vermont and the county seat, seat of Chittenden County, Vermont, Chittenden County. It is located south of the Canada–United States border and south ...
, USA)
LNCS 3076
* 2006
ANTS VII
Technische Universität Berlin The Technical University of Berlin (official name both in English and german: link=no, Technische Universität Berlin, also known as TU Berlin and Berlin Institute of Technology) is a public research university located in Berlin, Germany. It was ...
(
Berlin Berlin ( , ) is the capital and List of cities in Germany by population, largest city of Germany by both area and population. Its 3.7 million inhabitants make it the European Union's List of cities in the European Union by population within ci ...
, DE)
LNCS 4076
* 2008
ANTS VIII
Banff Centre Banff Centre for Arts and Creativity, formerly known as The Banff Centre (and previously The Banff Centre for Continuing Education), located in Banff, Alberta, was established in 1933 as the Banff School of Drama. It was granted full autonomy as ...
( Banff, AB, CA)
LNCS 5011
* 2010
ANTS IX
INRIA The National Institute for Research in Digital Science and Technology (Inria) () is a French national research institution focusing on computer science and applied mathematics. It was created under the name ''Institut de recherche en informatiq ...
( 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 land-grant research university in San Diego, California. Established in 1960 near the pre-existing Scripps Institution of Oceanography, UC San Diego is t ...
(
San Diego, CA San Diego ( , ; ) is a city on the Pacific Ocean coast of Southern California located immediately adjacent to the Mexico–United States border. With a 2020 population of 1,386,932, it is the eighth most populous city in the United States ...
, USA)
OBS 1
* 2014

– Hotel Hyundai ( Gyeongju, KR)
JCM 17A
* 2016
ANTS XII
University of Kaiserslautern Technical University of Kaiserslautern (German: ''Technische Universität Kaiserslautern'', also known as TU Kaiserslautern or TUK) is a public research university in Kaiserslautern, Germany. There are numerous institutes around the university, ...
( Kaiserslautern, DE)
JCM 19A
* 2018
ANTS XIII
University of Wisconsin, Madison A university () is an educational institution, institution of higher education, higher (or Tertiary education, tertiary) education and research which awards academic degrees in several Discipline (academia), academic disciplines. Universities ty ...
– (
Madison, WI Madison is the county seat of Dane County and the capital city of the U.S. state of Wisconsin. As of the 2020 census the population was 269,840, making it the second-largest city in Wisconsin by population, after Milwaukee, and the 80th-larg ...
, 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 most populous urban area in the country and the fifth largest city in Oceania, Auckland has an urban population of about ...
, 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 identified in Wuhan, China, in December 2019. The disease quickly ...
.


References


External links


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