#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
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
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
11_6_1 Contours and Tangents to Contours Part 1
A contour is simply the intersection of the curve of a function and a plane or hyperplane at a specific level. The gradient of the original function is a vector perpendicular to the tangent of the contour at a point on the contour.
From playlist Advanced Calculus / Multivariable Calculus
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
Solving Diophantine equations using elliptic curves + Introduction to SAGE by Chandrakant Aribam
12 December 2016 to 22 December 2016 VENUE Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution. An
From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture
The Biggest Project in Modern Mathematics
In a 1967 letter to the number theorist André Weil, a 30-year-old mathematician named Robert Langlands outlined striking conjectures that predicted a correspondence between two objects from completely different fields of math. The Langlands program was born. Today, it's one of the most amb
From playlist Explainers
Angle-Angle Triangle Similarity Theorem: Dynamic Proof
Link: https://www.geogebra.org/m/Q8EYTUK2
From playlist Geometry: Dynamic Interactives!
Leading Through Polarizing Times
On election day in the U.S. we talked with Harvard Business School's Frances X. Frei to discuss how we can best navigate the emotional and personal challenges of this moment. In 2017, Frei helped Uber's leaders rebuild trust with each other and the public. The co-author of "Unleashed: Th
From playlist HBR Now
Fermat's Last Theorem - The Theorem and Its Proof: An Exploration of Issues and Ideas [1993]
supplement to the video: http://www.msri.org/realvideo/ln/msri/1993/outreach/fermat/1/banner/01.html Date: July 28, 1993 (08:00 AM PDT - 09:00 AM PDT) Fermat's Last Theorem July 28, 1993, Robert Osserman, Lenore Blum, Karl Rubin, Ken Ribet, John Conway, and Lee Dembart. Musical interlude
From playlist Number Theory
Solving Diophantine equations using elliptic curves + Introduction to SAGE by Chandrakant Aribam
12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.
From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture
Recovering elliptic curves from their p-torsion - Benjamin Bakker
Benjamin Bakker New York University May 2, 2014 Given an elliptic curve EE over a field kk, its p-torsion EpEp gives a 2-dimensional representation of the Galois group GkGk over 𝔽pFp. The Frey-Mazur conjecture asserts that for k=ℚk=Q and p13p13, EE is in fact determined up to isogeny by th
From playlist Mathematics
Ekin Ozman, Quadratic points on modular curves and Fermat-type equations
VaNTAGe seminar, June 8, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
Cyclic Quadrilateral: Proof Hint!
Link: https://www.geogebra.org/m/KYdypjws
From playlist Geometry: Dynamic Interactives!
Second Annual Geoffrey H. Hartman Fellowship Symposium: Ion Popa
On May 3, 2019 the Fortunoff Video Archive hosted their second annual Geoffrey H. Hartman Fellowship Symposium, featuring the work of two fellows. In this presentation, Fortunoff/VWI Joint Fellow Ion Popa discusses his research on conversion from Judaism to Christianity as a method of surv
From playlist Fortunoff Video Archive for Holocaust Testimonies
Filip Najman, Q-curves over odd degree fields and sporadic points
VaNTAGe seminar June 29, 2021 License: CC-BY-NC-SA
From playlist Modular curves and Galois representations
The Riemann Hypothesis - Picturing The Zeta Function
in this chapter i will show how to visualize the zeta and eta functions in the proper way meaning that everything on those two functions is made out of spirals all over the grid and the emphasis in this chapter will be on the center points of the spirals mainly the divergent spirals 0:00
From playlist Summer of Math Exposition Youtube Videos
👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1
From playlist Classify Polygons
Andrew Wiles - The Abel Prize interview 2016
0:35 The history behind Wiles’ proof of Fermat’s last theorem 1:08 An historical account of Fermat’s last theorem by Dundas 2:40 Wiles takes us through the first attempts to solve the theorem 5:33 Kummer’s new number systems 8:30 Lamé, Kummer and Fermat’s theorem 9:10 Wiles tried to so
From playlist Sir Andrew J. Wiles
Derivative Of A Square Root!! (Calculus)
#Math #Calculus #Physics #Tiktok #Studyhacks #NicholasGKK #Shorts
From playlist Calculus