Transcendental Functions
Explore transcendental functions, including logarithms and exponentials, through proofs, examples, and problem-solving. Learn derivatives, integrals, and properties of these essential mathematical concepts.
Curvature, Turning Numbers and Winding Numbers - Differential Geometry
Explore curvature, turning numbers, and winding numbers in planar curves. Learn about irrational numbers and transcendental functions from an applied perspective using rational turn angles.
Cracking the Riemann Hypothesis - A Computational Approach
Explore a computational approach to the Riemann Hypothesis, challenging traditional mathematical assumptions and proposing a new perspective on this famous conjecture.
Hodge Theory for Poisson Varieties and Nonperturbative Quantization
Explore Hodge theory for Poisson varieties and nonperturbative quantization, focusing on K-theory and mixed Hodge structures to simplify complex calculations in deformation quantization.
Differential Galois Theory and the Algebraicity of Solutions - Part 3
Delve into advanced concepts of Differential Galois Theory, exploring algebraicity of solutions and their applications in singular differential equations with mathematician Michael Singer.
G-Functions of Differential Order 2
Delve into advanced mathematical concepts exploring G-functions of differential order 2, focusing on algebraicity and transcendence properties in singular differential equations.
First Order Differential Equations in Characteristic Zero and Characteristic p
Explore advanced mathematical concepts of first-order differential equations across characteristic zero and characteristic p, with insights from leading mathematician Marius van der Put.
Extending Hölder's Result on the Differential Transcendence of the Gamma Function
Delve into advanced mathematical concepts exploring Hölder's theorem and its extension to the differential transcendence properties of the Gamma function through rigorous analysis.