Elliptic Curves the theorems of Mordell and Nagell-Lutz

Lecturer: VĂ­ctor Vela Cuena

Date: 13-02-2019

Time: 17:00

Place: Room 209 (2nd floor, Faculty of Mathematics UCM)

Abstract: An elliptic curve is an irreducible smooth cubic curve. At first glance, such a simple mathematical object should not harbor any mystery, but nothing could be further from the truth; the theory of elliptic curves is extremely extensive, and in it, geometry, algebra and number theory are involved in rather unsuspected ways.

In this presentation, a brief exposition of the main problems and results of this theory is offered: namely, the Mordell and Nagell-Lutz theorems.


  • Joseph H. Silverman, John T. Tate, Rational Points on Elliptic Curves. Undergraduate Texts in Mathematics, 2ns edn. (Springer, Switzerland, 2015)

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