NumberFields@Home: Difference between revisions

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== Methods ==

Computing lower degree fields requires less processing power and have been more extensively tabulated but the degree 10 case is the first case requiring a massively parallel solution. After recalling [https://www.linux-magazine.com/Issues/2006/71/BOINC/ ~~this~~ article in Linux Magazine], and knowing that the math department had limited resources (but access to a suitable workstation), a BOINC project was launched.

Computing lower degree fields requires less processing power and have been more extensively tabulated but the degree 10 case is the first case requiring a massively parallel solution. After recalling this [https://www.linux-magazine.com/Issues/2006/71/BOINC/ '''''article in Linux Magazine'''''], and knowing that the math department had limited resources (but access to a suitable workstation), a BOINC project was launched.

Number fields are related to automorphic forms which are part of the [[wikipedia:Langlands_program|'''''Langlands program''''']]. [https://www.quantamagazine.org/what-is-the-langlands-program-20220601/ '''''Explanations for the Langlands program''''']. ([https://youtu.be/_bJeKUosqoY '''''See ~~the~~ video'''''])

Number fields are related to automorphic forms which are part of the [[wikipedia:Langlands_program|'''''Langlands program''''']]. [https://www.quantamagazine.org/what-is-the-langlands-program-20220601/ '''''Explanations for the Langlands program''''']. ([https://youtu.be/_bJeKUosqoY '''''See video: The Biggest Project in Modern Mathematics'''''])

== Project team / Sponsors ==

Eric Driver. [https://math.asu.edu/ school of mathematics] at Arizona State University.

Eric Driver. [https://math.asu.edu/ '''''school of mathematics'''''] at Arizona State University.

== Scientific results ==

* https://numberfields.asu.edu/NumberFields/FieldTables/FieldTables.html

* '''''https://numberfields.asu.edu/NumberFields/FieldTables/FieldTables.html'''''

== Scientific publications ==

# Driver, Eric D. and John W. Jones. [https://linkinghub.elsevier.com/retrieve/pii/S0022314X19300988 Computing septic number fields]. Journal of Number Theory (2019). DOI: 10.1016/j.jnt.2019.02.022.

# Driver, Eric D. and John W. Jones. [https://linkinghub.elsevier.com/retrieve/pii/S0022314X19300988 '''''Computing septic number fields''''']. Journal of Number Theory (2019). DOI: 10.1016/j.jnt.2019.02.022.

# Driver, Eric D. and John W. Jones. [http://www.tandfonline.com/doi/abs/10.1080/10586458.2010.10390637 Minimum Discriminants of Imprimitive Decic Fields]. Experimental Mathematics (2010). DOI: 10.1080/10586458.2010.10390637.

# Driver, Eric D. and John W. Jones. [http://www.tandfonline.com/doi/abs/10.1080/10586458.2010.10390637 '''''Minimum Discriminants of Imprimitive Decic Fields''''']. Experimental Mathematics (2010). DOI: 10.1080/10586458.2010.10390637.

# Driver, Eric D. and John W. Jones. [https://ui.adsabs.harvard.edu/abs/2009MaCom..78.1109D A targeted Martinet search]. Mathematics of Computation (2009). DOI: 10.1090/S0025-5718-08-02178-9.

# Driver, Eric D. and John W. Jones. [https://ui.adsabs.harvard.edu/abs/2009MaCom..78.1109D '''''A targeted Martinet search''''']. Mathematics of Computation (2009). DOI: 10.1090/S0025-5718-08-02178-9.

@@ Line 14: / Line 14: @@
 == Methods ==
-Computing lower degree fields requires less processing power and have been more extensively tabulated but the degree 10 case is the first case requiring a massively parallel solution. After recalling [https://www.linux-magazine.com/Issues/2006/71/BOINC/ this article in Linux Magazine], and knowing that the math department had limited resources (but access to a suitable workstation), a BOINC project was launched.
+Computing lower degree fields requires less processing power and have been more extensively tabulated but the degree 10 case is the first case requiring a massively parallel solution. After recalling this [https://www.linux-magazine.com/Issues/2006/71/BOINC/ '''''article in Linux Magazine'''''], and knowing that the math department had limited resources (but access to a suitable workstation), a BOINC project was launched.
-Number fields are related to automorphic forms which are part of the [[wikipedia:Langlands_program|'''''Langlands program''''']].  [https://www.quantamagazine.org/what-is-the-langlands-program-20220601/ '''''Explanations for the Langlands program''''']. ([https://youtu.be/_bJeKUosqoY '''''See the video'''''])
+Number fields are related to automorphic forms which are part of the [[wikipedia:Langlands_program|'''''Langlands program''''']].  [https://www.quantamagazine.org/what-is-the-langlands-program-20220601/ '''''Explanations for the Langlands program''''']. ([https://youtu.be/_bJeKUosqoY '''''See video: The Biggest Project in Modern Mathematics'''''])
 == Project team / Sponsors ==
-Eric Driver. [https://math.asu.edu/ school of mathematics] at Arizona State University.
+Eric Driver. [https://math.asu.edu/ '''''school of mathematics'''''] at Arizona State University.
 == Scientific results ==
-* https://numberfields.asu.edu/NumberFields/FieldTables/FieldTables.html
+* '''''https://numberfields.asu.edu/NumberFields/FieldTables/FieldTables.html'''''
 == Scientific publications ==
-# Driver, Eric D. and John W. Jones. [https://linkinghub.elsevier.com/retrieve/pii/S0022314X19300988 Computing septic number fields]. Journal of Number Theory (2019). DOI: 10.1016/j.jnt.2019.02.022.
+# Driver, Eric D. and John W. Jones. [https://linkinghub.elsevier.com/retrieve/pii/S0022314X19300988 '''''Computing septic number fields''''']. Journal of Number Theory (2019). DOI: 10.1016/j.jnt.2019.02.022.
-# Driver, Eric D. and John W. Jones. [http://www.tandfonline.com/doi/abs/10.1080/10586458.2010.10390637 Minimum Discriminants of Imprimitive Decic Fields]. Experimental Mathematics (2010). DOI: 10.1080/10586458.2010.10390637.
+# Driver, Eric D. and John W. Jones. [http://www.tandfonline.com/doi/abs/10.1080/10586458.2010.10390637 '''''Minimum Discriminants of Imprimitive Decic Fields''''']. Experimental Mathematics (2010). DOI: 10.1080/10586458.2010.10390637.
-# Driver, Eric D. and John W. Jones. [https://ui.adsabs.harvard.edu/abs/2009MaCom..78.1109D A targeted Martinet search]. Mathematics of Computation (2009). DOI: 10.1090/S0025-5718-08-02178-9.
+# Driver, Eric D. and John W. Jones. [https://ui.adsabs.harvard.edu/abs/2009MaCom..78.1109D '''''A targeted Martinet search''''']. Mathematics of Computation (2009). DOI: 10.1090/S0025-5718-08-02178-9.