Elliptic curve cryptography | Elliptic curves
In mathematics, the Edwards curves are a family of elliptic curves studied by Harold Edwards in 2007. The concept of elliptic curves over finite fields is widely used in elliptic curve cryptography. Applications of Edwards curves to cryptography were developed by Daniel J. Bernstein and Tanja Lange: they pointed out several advantages of the Edwards form in comparison to the more well known Weierstrass form. (Wikipedia).
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
#Cycloid: A curve traced by a point on a circle rolling in a straight line. (A preview of this Sunday's video.)
From playlist Miscellaneous
From playlist Dimensions Arabe/Arabic / العربية
Albert Einstein, Holograms and Quantum Gravity
In the latest campaign to reconcile Einstein’s theory of gravity with quantum mechanics, many physicists are studying how a higher dimensional space that includes gravity arises like a hologram from a lower dimensional particle theory. Read about the second episode of the new season here:
From playlist In Theory
Minimal Discriminants and Minimal Weiestrass Forms For Elliptic Curves
This goes over the basic invariants I'm going to need for Elliptic curves for Szpiro's Conjecture.
From playlist ABC Conjecture Introduction
Frobenius distribution for pairs of elliptic curves and exceptional isogenies - Francois Charles
Francois Charles March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
Inscribed Angle Theorems + Corollaries!
Links: https://www.geogebra.org/m/kxgHfpBT#chapter/65779
From playlist Geometry: Dynamic Interactives!
From playlist Dimensions Arabe/Arabic / العربية
How to calculate arc length of a curve.
Free ebook http://tinyurl.com/EngMathYT How to calculate the arc length of a curve: a basic example.
From playlist A second course in university calculus.
The Galerkin-truncated Burgers equation: crossover from inviscid-thermalized... by Marc E. Brachet
PROGRAM TURBULENCE: PROBLEMS AT THE INTERFACE OF MATHEMATICS AND PHYSICS ORGANIZERS Uriel Frisch (Observatoire de la Côte d'Azur and CNRS, France), Konstantin Khanin (University of Toronto, Canada) and Rahul Pandit (IISc, India) DATE & TIME 16 January 2023 to 27 January 2023 VENUE Ramanuj
From playlist Turbulence: Problems at the Interface of Mathematics and Physics 2023
Statistical Mechanics of Athermal Systems: Edwards Ensemble, Entropy... (Lecture 3)
PROGRAM ENTROPY, INFORMATION AND ORDER IN SOFT MATTER ORGANIZERS: Bulbul Chakraborty, Pinaki Chaudhuri, Chandan Dasgupta, Marjolein Dijkstra, Smarajit Karmakar, Vijaykumar Krishnamurthy, Jorge Kurchan, Madan Rao, Srikanth Sastry and Francesco Sciortino DATE: 27 August 2018 to 02 Novemb
From playlist Entropy, Information and Order in Soft Matter
CTNT 2018 - "Elliptic curves over finite fields" (Lecture 1) by Erik Wallace
This is lecture 1 of a mini-course on "Elliptic curves over finite fields", taught by Erik Wallace, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "Elliptic Curves over Finite Fields" by Erik Wallace
Math Major Guide | Warning: Nonstandard advice.
A guide for how to navigate the math major and how to learn the main subjects. Recommendations for courses and books. Comment below to tell me what you think. And check out my channel for conversation videos with guests on math and other topics: https://www.youtube.com/channel/UCYLOc-m8Wu
From playlist Math
Elliptic curves over finite fields - Lecture 1/4 by Erik Wallace [CTNT 2018]
Full playlist: https://www.youtube.com/playlist?list=PLJUSzeW191QylsLXla4uaR9KOcNlcJIes Notes: https://ctnt-summer.math.uconn.edu/wp-content/uploads/sites/1632/2018/05/2018CTNT-WallaceNotes.pdf Mini-course E: “Elliptic Curves over Finite Fields” by Erik Wallace (UConn). The course will
From playlist Number Theory
Universality in sandpile models by Pradeep Kumar Mohanty
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Oxford Mathematics Public Lectures: Edward Frenkel - Love and Math A public lecture given by Edward Frenkel, a professor at the University of California at Berkeley, talking around his best-selling book "Love and Math" followed by a conversation with Marcus du Sautoy and Q&A." "Love and
From playlist Oxford Mathematics Public Lectures
From playlist Dimensions Arabe/Arabic / العربية
8ECM Hirzebruch Lecture: Martin Hairer
From playlist 8ECM Public Lectures
