Editing Incubator escapee wiki:Requested articles/Mathematics (section)

===[[Algebraic number theory]]===
*[[Abelian polynomial theorem]] - <!--2008-05-08T20:55:54Z-->
* [[Bayer–Neukirch theorem]] -
*[[Borel regulator]] - <!--2008-05-17T14:03:30Z-->
*[[Brandt module]] - <!--2005-07-12T07:49:00Z-->
*[[Capitulation kernel]]
* [[Chinburg invariant]]
* [[Coleman power series]] - <!--2013-06-17-->
*[[Elliptic curves' arithmetic conjectures]]  ([[Stein–Watkins conjecture]] (for 5-isogenies) and [[Gross–Zagier conjecture]])
*[[Explicit class field theory]] - <!--2008-04-30T18:21:01Z-->
*[[Colmez's conjecture]]
*[[Darmon's conjecture]] (on cyclomatic units, on construction of canonical algebraic points on E by associated Hilbert modular form, p-adic, mention [[Oda conjecture]])
*[[Grothendieck period conjecture]] (or [[Kontsevich–Zagier period conjecture]]; Grothendieck is weaker, Kontsevich–Zagier is stronger, article on any of them can mention the other as a generalisation/special case + geometric versions which are much easier)
*[[Hida family]]
*[[Hopf order]]
*[[Iwasawa-theoretic Mazur–Rubin-Sano conjecture]]
*[[Kato–Swan conductor]]
* [[Knot group (number theory)]] - (not the topological [[Knot group]])<ref>{{cite book | last=Narkiewicz | first=Władysław | title=Elementary and analytic theory of algebraic numbers | edition=3rd | zbl=1159.11039 | series=Springer Monographs in Mathematics | location=Berlin | publisher=[[Springer-Verlag]] | isbn=3-540-21902-1 | year=2004 | page=307 }}</ref> <!--2014-02-28-->
* [[Kolyvagin's conjectures]]
* [[Kronecker equivalence]] -<ref>* {{cite book | first=Władysław | last=Narkiewicz | title=Elementary and analytic theory of numbers | edition=Second, substantially revised and extended | publisher=[[Springer-Verlag]] | isbn=3-540-51250-0 | year=1990 | zbl=0717.11045 | page=416 }}</ref> <!--2014-02-11-->
* [[Leopoldt's Spiegelungssatz]] (*[[Leopoldt reflection theorem]]) -
* [[Liardet's theorem]] -
*[[Malle's conjecture]] ([[Batyrev–Manin conjecture]], [[Peyre's conjecture]] and [[Batyrev–Tschinkel conjecture]], Loughran and Santens conjectures, Koymans and Pagano conjectures, [[Gundlach conjecture]], [[Darda–Yasuda conjectures]] are related and need mention)
* [[Masley's theorem]]
* [[Microprime]] - <!--2013-07-05-->
* [[Noether conductor]]
*[[Noncommutative Iwasawa theory]] - <!--2008-04-26T19:03:25Z-->
*[[Notation of division]] - <!--2009-02-24T20:07:37Z-->
* [[Perrin-Riou conjecture]] (p-adic analogue of Bellinson, esp. over elliptic curves case) 
* [[Pólya field]] - <!--2013-06-23-->
* [[Richaud–Degert field]] -<ref>{{cite book | last=Narkiewicz | first=Władysław | title=Elementary and analytic theory of algebraic numbers | edition=3rd | zbl=1159.11039 | series=Springer Monographs in Mathematics | location=Berlin | publisher=[[Springer-Verlag]] | isbn=3-540-21902-1 | year=2004 | page=123 }}</ref> <!--2014-02-28-->
* [[Sen's theorem]] -
*[[Strange numbers]] - <!--2007-07-30T13:56:19Z-->
* [[Tame kernel]], [[Wild kernel]] (also called [[Hilbert kernel]])
* [[Tautological class field theory]]
* [[Conjectures on absolute CM-periods]] (by Yoshida + analogues for p-adic CM-periods by Kashio)