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The Series Finale of Online Education: Coursera Acquires Udemy

$7.2 billion in combined revenue since 2020. $8 billion in lost market value. This merger marks the end of an era in online education.

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ICTP Mathematics
On the Riemann Zeta-Function, Fourier Optimization and Quadratic Forms

Explore the Riemann zeta-function, Fourier analysis, and quadratic forms in number theory. Delve into Selberg's theorem, Berry's conjecture, and representation of integers by quadratic forms.
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Insights into Mathematics
Geometric Graph Theory - Weyl Groups, Root Systems and Quadratic Forms

Explore geometric graph theory through the Mutation Game, examining root systems, Weyl groups, and quadratic forms. Discover how graphs generate unique geometrical structures and reflection groups.
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Characteristics of Quadratic Equations - Forms, Components and Graphing

Master quadratic equations through extensive practice with vertex, standard, and intercept forms. Analyze key components including vertices, intercepts, and symmetry through 84 varied problems with detailed solutions.
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Anisotropic Quadratic Forms Over Global Fields Are Diophantine

Discover how anisotropic quadratic forms over global fields can be classified as Diophantine using class field theory and uniform descriptions across field completions.
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Institute for Advanced Study
Moments of Margulis Functions and Values of Ternary Quadratic Forms

Delve into the quantitative Oppenheim conjecture for ternary quadratic forms, exploring Margulis functions and distribution of values of indefinite quadratic forms at integral points.
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Linear Algebra

Master fundamental linear algebra concepts, from matrices and determinants to eigenvalues and quadratic forms, building essential skills for science, engineering, and data analysis applications.
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Linear Algebra

To illustrate the beauty and power of Linear Algebra.
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Historical Development of Group Theory - From Number Theory to Geometry

Explore the historical development of group theory, from its roots in number theory and algebra to its impact on geometry, covering key concepts and influential mathematicians.
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Duality, Polarity and Projective Linear Algebra - Differential Geometry Lecture 11

Explores projective geometry, quadratic forms, and pole-polar duality in relation to the unit circle. Connects these concepts to Lorentz/Einstein/Minkowski geometry and Apollonius' work.
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Metrical Structure and Curvature of a Parabola - Differential Geometry

Explore metrical structures and curvature in differential geometry, focusing on parabolas. Learn about symmetric bilinear forms, relativistic geometries, and their applications in physics.
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Institut des Hautes Etudes Scientifiques (IHES)
Motivic, Equivariant and Non-commutative Homotopy Theory - Summer School 2020

Explore advanced topics in motivic, equivariant homotopy theory and non-commutative geometry through expert lectures covering latest developments in mathematical foundations and applications.
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Spectral Graph Theory - Minimizing/Maximizing the Quadratic Form

Explore spectral graph theory, focusing on minimizing and maximizing quadratic forms, with connections to graph components and bipartiteness in this graduate-level lecture.
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Spectral Graph Theory - The Quadratic Form

Explores spectral graph theory, focusing on the quadratic form associated with undirected graphs. Covers basic setup and provides examples for graduate-level computer science research.
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Seminar - Some Fundamental Formulas from Metrical Algebraic Geometry

Explore fundamental formulas in metrical algebraic geometry, connecting classical theorems to modern discoveries. Gain insights into affine and projective variants applicable across various fields.
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Simons Institute
The Space of Lorentzian Polynomials

Explore Lorentzian polynomials, projective varieties, and discrete convexity with June Huh. Delve into quadratic forms, M-convexity, and algebraic intuition in this advanced mathematical lecture.
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