Butterfly curve (algebraic)

Elliptic curves: point at infinity in the projective plane

This video depicts point addition and doubling on elliptic curve in simple Weierstrass form in the projective plane depicted using stereographic projection where the point at infinity can actually be seen. Explanation is in the accompanying article https://trustica.cz/2018/04/05/elliptic-

From playlist Elliptic Curves - Number Theory and Applications

What is... an elliptic curve?

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

An introduction to algebraic curves | Arithmetic and Geometry Math Foundations 76 | N J Wildberger

This is a gentle introduction to curves and more specifically algebraic curves. We look at historical aspects of curves, going back to the ancient Greeks, then on the 17th century work of Descartes. We point out some of the difficulties with Jordan's notion of curve, and move to the polynu

From playlist Math Foundations

Forbidden Patterns in Tropical Planar Curves by Ayush Kumar Tewari

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME 27 June 2022 to 08 July 2022 VENUE Madhava Lecture Hall and Online Algebraic geometry is the stu

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

Algebraic geometry 44: Survey of curves

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives an informal survey of complex curves of small genus.

From playlist Algebraic geometry I: Varieties

Maxima and Minima for Quadratic and Cubics | Algebraic Calculus One | Wild Egg

Tangents of algebraic curves are best defined purely algebraically, without recourse to limiting arguments! We apply our techniques for finding such tangents to derive some familiar results for quadratic and cubic polynomial functions and their maxima and minima. We compare also with the c

From playlist Algebraic Calculus One

Elliptic Curves - Lecture 6a - Ramification (continued)

This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/

From playlist An Introduction to the Arithmetic of Elliptic Curves

GCSE Maths AQA 2021 Paper 2 Higher Tier Walkthrough [June 2021 / November 2021]

A complete walk through of AQA GCSE Maths 2021 Higher Tier - Paper 2 non-calculator (Originally intended as June 2021 paper set, but cancelled due to Covid and is now listed on the AQA website as November 2021). Help revise for the new specification 9-1 mathematics exams and your mock. T

From playlist AQA GCSE Maths Practice Papers - All Paper Sets

The History of Mathematics and Its Applications

STEMerch Store: https://stemerch.com/ Support the Channel: https://www.patreon.com/zachstar PayPal(one time donation): https://www.paypal.me/ZachStarYT Versión en español de este video: https://www.youtube.com/watch?v=Jt30nstd_Sc Instagram: https://www.instagram.com/zachstar/ Twitter: ht

From playlist Math Major

The Complex Structure of Classical Hydrodynamics: Convergence, Quantum Chaos... by Saso Grozdanov

DISCUSSION MEETING EXTREME NONEQUILIBRIUM QCD (ONLINE) ORGANIZERS: Ayan Mukhopadhyay (IIT Madras) and Sayantan Sharma (IMSc Chennai) DATE & TIME: 05 October 2020 to 09 October 2020 VENUE: Online Understanding quantum gauge theories is one of the remarkable challenges of the millennium

From playlist Extreme Nonequilibrium QCD (Online)

IMS Public Lecture: Butterflies, Cats, and Billiards in Polygons

Anton Zorich, Université Paris Diderot - Paris 7, France

From playlist Public Lectures

Large deviations for random hives and the spectrum of the sum of two random.. by Hariharan Narayanan

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS: Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

Corinna Ulcigrai - 2/6 Parabolic dynamics and renormalization: an introduction

Parabolic dynamical systems are mathematical models of the many phenomena which display a "slow" form of chaotic evolution, in the sense that nearby trajectories diverge polynomially in time. In contrast with hyperbolic and elliptic dynamical systems, there is no general theory which desc

From playlist Corinna Ulcigrai - Parabolic dynamics and renormalization: an introduction

Polynumbers and de Casteljau Bezier curves | Algebraic Calculus and dCB curves | N J Wildberger

The Algebraic Calculus is an exciting new approach to calculus, not reliant on "infinite processes" and "real numbers". The central objects are polynomially parametrized curve, which turn out to be the same as the de Casteljau Bezier curves which play such a big role in design, animation,

From playlist Algebraic Calculus One Info

Corinna Ulcigrai - 1/6 Parabolic dynamics and renormalization: an introduction

Parabolic dynamical systems are mathematical models of the many phenomena which display a "slow" form of chaotic evolution, in the sense that nearby trajectories diverge polynomially in time. In contrast with hyperbolic and elliptic dynamical systems, there is no general theory which desc

From playlist Corinna Ulcigrai - Parabolic dynamics and renormalization: an introduction

Learning models: connections between boosting...and regularity I - Russell Impagliazzo

Computer Science/Discrete Mathematics Seminar I Topic: Learning models: connections between boosting, hard-core distributions, dense models, GAN, and regularity I Speaker: Russell Impagliazzo Affiliation: University of California, San Diego Date: November 13, 2017 For more videos, please

From playlist Mathematics

Spatio-temporal spread of perturbation in a driven dissipative by Amit Kumar Chatterjee

ICTS IN-HOUSE 2020 Organizers: Amit Kumar Chatterjee, Divya Jaganathan, Junaid Majeed, Pritha Dolai Date:: 17-18th February 2020 Venue: Ramanujan Lecture Hall, ICTS Bangalore inhouse@icts.res.in An exclusive two-day event to exchange ideas and discuss research amongst member

From playlist ICTS In-house 2020

3 Minute Thesis Competition 2021

Postgraduate Students are the future of mathematics. So what are Oxford Mathematics Postgraduates working on? The Oxford University Society for Industrial and Applied Mathematics Student Chapter (SIAM-IMA) 3 Minute Thesis Competition does what it says on the tin: 3 minutes for our postgra

From playlist Oxford Mathematics Research Seminars

MAE5790-24 Hénon map

The Hénon map: a two-dimensional map that sheds light on the fractal structure of strange attractors. Deriving the Hénon map. Analyzing the map. Simulations. Reading: Strogatz, "Nonlinear Dynamics and Chaos", Section 12.2.

From playlist Nonlinear Dynamics and Chaos - Steven Strogatz, Cornell University

Geometry of tropical varieties with a view toward applications (Lecture 1) by Omid Amini

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)