Algorithmic Number Theory Symposium
Algorithmic Number Theory Symposium (ANTS) is a biennial academic conference, first held in Cornell in 1994, constituting an international forum 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, arithmetic geometry, finite fields, and cryptography.
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 certificate.
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.[1]
- 2008 – ANTS VIII – Juliana Belding, Reinier Bröker, Andreas Enge and Kristin Lauter – Computing hilbert class polynomials.[2]
- 2010 – ANTS IX – John Voight (mathematician) (University of Vermont) – Computing automorphic forms on Shimura curves over fields with arbitrary class number.[3]
- 2012 – ANTS X – Andrew Sutherland (mathematician) (Massachusetts Institute of Technology) – On the evaluation of modular polynomials.[4]
- 2014 – ANTS XI – Tom Fisher (mathematician) (University of Cambridge) – Minimal models for 6-coverings of elliptic curves.[5]
- 2016 – ANTS XII – Jan Steffen Müller and Michael Stoll – Computing canonical heights on elliptic curves in quasi-linear time.[6]
- 2018 – ANTS XIII – Michael Musty, Sam Schiavone, Jeroen Sijsling and John Voight – A database of Belyĭ maps.[7]
Proceedings
Before ANTS X, the refereed Proceedings of ANTS were published in the Springer series Lecture Notes in Computer Science. The proceedings of ANTS X and XIII were published by Mathematical Sciences Publishers. The proceedings of ANTS XI and ANTS XII were published as a special issue of the London Mathematical Society Journal of Computation and Mathematics.
Conference information by year
- 1994: ANTS I - Cornell University (Ithaca, NY, 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, NL) - LNCS 1838
- 2002: ANTS V - University of Sydney (Sydney, AU) - LNCS 2369
- 2004: ANTS VI - University of Vermont (Burlington, VT, USA) - LNCS 3076
- 2006: ANTS VII - Technische Universität Berlin (Berlin, DE) - LNCS 4076
- 2008: ANTS VIII - Banff Centre (Banff, AL, CA) - LNCS 5011
- 2010: ANTS IX - INRIA (Nancy, FR) - LNCS 6197
- 2012: ANTS X - University of California, San Diego (San Diego, CA, USA) - MSP Open Book Series 1
- 2014: ANTS XI - Hotel Hyundai (Gyeongju, KR) - LMS JCM 17 (special issue)
- 2016: ANTS XII - University of Kaiserslautern (Kaiserslautern, DE) - LMS JCM 19 (special issue)
- 2018: ANTS XIII - University of Wisconsin, Madison - MSP (Madison, WI, USA) Open Book Series 2
- 2020: ANTS XIV - University of Auckland (Auckland, NZ)
References
- ^ Warner Bley; Robert Boltie (2006). Computation of locally free class groups. Vol. 4076. pp. 72–86. doi:10.1007/11792086_6. ISBN 978-3-540-36075-9.
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ignored (help) - ^ Juliana Belding; Reinier Bröker; Andreas Enge; Kristin Lauter (2008). Computing Hilbert Class Polynomials. Vol. 5011. pp. 282–295. arXiv:0802.0979. doi:10.1007/978-3-540-79456-1_19. ISBN 978-3-540-79455-4.
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ignored (help) - ^ John Voight (2010). Computing automorphic forms on Shimura curves over fields with arbitrary class number. Vol. 6197. pp. 357–37'. arXiv:1004.5340. doi:10.1007/978-3-642-14518-6_28. ISBN 978-3-642-14517-9.
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ignored (help) - ^ Andrew Sutherland (2012). On the evaluation of modular polynomials. Vol. 1. pp. 531–555. arXiv:1202.3985. Bibcode:2012arXiv1202.3985S. doi:10.2140/obs.2013.1.531.
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ignored (help) - ^ Tom Fisher, "Minimal models of 6-coverings of elliptic curves". LMS Journal of Computation and Mathematics. 17: 112–127. 2014. doi:10.1112/S1461157014000217.
- ^ Jan Steffen Müller; Michael Stoll (2016). "Computing Canonical Heights on Elliptic Curves in Quasi-Linear Time". LMS Journal of Computation and Mathematics. 19: 391–405. arXiv:1509.08748. doi:10.1112/S1461157016000139.
- ^ Michael Musty; Sam Schiavone; Jeroen Sijsling; John Voight (2019). A database of Belyi maps. Vol. 2. pp. 375–392. arXiv:1805.07751. doi:10.2140/obs.2019.2.375.
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ignored (help)