Designing Conservative and Accurately Dissipative Numerical Integrators in Time
Explore innovative framework for structure-preserving time steppers using finite elements and auxiliary variables. Discover applications in Kepler, Kovalevskaya, Navier-Stokes, and Benjamin-Bona-Mahony problems.
Data-Driven Information Geometry Approach to Stochastic Model Reduction
Explore data-driven information geometry for stochastic model reduction, extending least squares to curved statistical manifolds. Learn adaptive computation techniques for rapidly varying stochastic phenomena.
Data-assisted Algorithms for Inverse Random Source Scattering Problems - DDPS
Explore data-assisted algorithms for inverse random source scattering problems, enhancing reconstruction accuracy with fewer realizations and comparing performance of various data-driven methods.
Computational Mathematics: Dynamics, Geometry, and Algebra in Numerical Integration
Explore computational mathematics at the intersection of dynamics, geometry, and algebra, focusing on geometric numerical integration and structure-preserving discretization of differential equations.
Using Graph Rewriting to Study Discrete Lattice Systems - Wolfram Student Podcast Episode 3
Explore graph rewriting techniques for studying topological invariants in finite lattice systems and their applications to physical phenomena.
Recreating the Beresheet Lunar Crash - Wolfram Student Podcast S2 Ep1
Explore the recreation of the Beresheet Lunar Crash using telemetry data and rocket equations to model and predict landing locations in Mare Serenitatis.
Career Insights from Journal of Fluid Mechanics Editor-in-Chief
Insights from JFM Editor-in-Chief on fluid mechanics research, publishing strategies, and career advice. Discusses mathematical tools, favorite papers, and the journal's commitment to scientific excellence and inclusivity.
Topology of the 2-Loop Amplituhedron
Explore the intricate topology of the 2-loop amplituhedron, delving into advanced concepts in theoretical physics and mathematical structures.
Exponential Networks and DT Invariants
Explore exponential networks and Donaldson-Thomas invariants in this advanced mathematics lecture, delving into complex algebraic structures and topological insights.
From AGT Conjecture to Cohomological Hall Algebras
Explore the connection between AGT Conjecture and Cohomological Hall Algebras in this advanced mathematical lecture by Francesco Sala, delving into complex algebraic structures and their applications.
Equivariant Quantum Volumes and Symplectic Cuts - Lecture 1
Explore equivariant quantum volumes and symplectic cuts in this advanced mathematics lecture, delving into complex geometric concepts and their applications.
Reduced Gromov-Witten Invariants
Explore reduced Gromov-Witten invariants, their mathematical foundations, and applications in algebraic geometry and theoretical physics.
Introduction to BPS Spectra and Quantum Invariants - Lecture 2
Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.
Introduction to BPS Spectra and Quantum Invariants - Lecture 3
Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.
Quivers and Cohomological Hall Algebras - Lecture 3
Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into complex mathematical structures and their applications in algebraic geometry.
Quivers and Cohomological Hall Algebras - Lecture 2
Explore advanced concepts in quiver theory and cohomological Hall algebras, delving into their intricate connections and applications in algebraic geometry and representation theory.
Computing Stokes Constants with Quantum Modularity
Explore quantum modularity's role in computing Stokes constants, delving into advanced mathematical concepts and their applications in theoretical physics.
Scalar Modular Bootstrap and Zeros of the Zeta Function
Explore connections between modular bootstrap techniques and the Riemann zeta function's zeros, delving into mathematical physics and number theory.
Modular Resurgence for Integrated Correlators at Large N
Explore modular resurgence in integrated correlators at large N, delving into advanced mathematical concepts and their applications in theoretical physics.
An Introduction to Resurgence Theory - Lecture 3
Explore advanced mathematical concepts in resurgence theory, delving into complex analysis and asymptotic expansions for a deeper understanding of analytical functions.
An Introduction to Resurgence Theory - Lecture 2
Explore advanced mathematical concepts in resurgence theory, delving into complex analysis and asymptotic expansions for a deeper understanding of analytical functions.