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Diophantine geometry
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21	Research Statement Brandon Fodden The central focus of my research is the study of L-functions. A combination of powerful results and fundamental open questions makes this an exciting area in which to do research. The st Add to Reading List Source URL: people.math.carleton.ca Language: English - Date: 2011-11-05 17:17:54 Bernhard Riemann Analytic number theory Conjectures Field theory Algebraic geometry Generalized Riemann hypothesis Riemann zeta function Riemann hypothesis Prime number theorem Elliptic curve Diophantine equation Selberg class
22	The Hodge-Arakelov Theory of Elliptic Curves Shinichi Mochizuki Research Institute for Mathematical Sciences Kyoto University Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:23:12 Algebraic geometry Diophantine geometry Number theory Group theory Analytic number theory Arakelov theory Elliptic curve
23	The Hodge-Arakelov Theory of Elliptic Curves, I Shinichi Mochizuki Research Institute for Mathematical Sciences Kyoto University Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 07:23:30 Algebraic geometry Diophantine geometry Number theory Group theory Analytic number theory Arakelov theory Elliptic curve
24	587 Documenta Math. Visibility of Mordell-Weil Groups William A. Stein1 Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:17 Diophantine geometry Conjectures Abelian varieties Number theory Niels Henrik Abel Elliptic curve Tate conjecture Birch and Swinnerton-Dyer conjecture MordellWeil theorem TateShafarevich group Abelian group Conductor
25	673 Documenta Math. Visibility of the Shafarevich–Tate Group at Higher Level Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2008-02-04 02:32:18 Analytic number theory Number theory Diophantine geometry Homological algebra Class field theory Galois module Elliptic curve Abelian variety Torsion Hecke operator TateShafarevich group Modular form
26	R. van Bommel Almost all hyperelliptic Jacobians have a bad semi-abelian prime Master’s thesis, 23 June 2014 Supervisor: dr. D. Holmes Add to Reading List Source URL: algant.eu Language: English - Date: 2014-07-04 06:58:52 Abstract algebra Algebraic geometry Algebra Elliptic curves Diophantine geometry Abelian varieties Semistable abelian variety Algebraic curves Lenstra elliptic curve factorization Hyperelliptic curve cryptography
27	A Size-Sensitive Discrepancy Bound for Set Systems of Bounded Primal Shatter Dimension∗ Esther Ezra† Abstract Let (X, S) be a set system on an n-point set X. The discrepancy of S is defined as the minimum of the Add to Reading List Source URL: www.cims.nyu.edu Language: English - Date: 2014-07-17 15:05:51 Computational geometry Ε-net Big O notation Diophantine approximation Mathematics Theoretical computer science Mathematical analysis
28	Model Theory, Algebra, and Geometry MSRI Publications Volume 39, 2000 Arithmetic and Geometric Applications of Quantifier Elimination for Valued Fields Add to Reading List Source URL: library.msri.org Language: English - Date: 2001-06-12 16:43:37 Field theory Diophantine geometry Number theory P-adic number Valuation FO Local zeta-function Constructible universe Igusa zeta-function Abstract algebra Mathematics Algebra
29	June 2011 • Volume 4 • Number 5 To Foster and Nurture Girls’ Interest in Mathematics An Interview Interview with Bianca Viray, Part 1 Who Won the 1989 Tour de France? Add to Reading List Source URL: www.girlsangle.org Language: English - Date: 2011-06-30 22:38:08 Platonic solids Cubes Mathematical proofs Polytopes Simplex Topology Tetrahedron Mathematical fallacy Diophantine equation Geometry Mathematics Euclidean geometry
30	Counting points on elliptic curves David Harvey University of New South Wales 6th December 2012, Australian National University Add to Reading List Source URL: web.maths.unsw.edu.au Language: English - Date: 2012-12-04 18:47:26 Finite fields Number theory Group theory Diophantine geometry Elliptic curve Counting points on elliptic curves Birch and Swinnerton-Dyer conjecture Mordell–Weil theorem Elliptic curve cryptography Abstract algebra Mathematics Elliptic curves