an18
Untangling Random Polygons and Other Things

Untangling Random Polygons and Other Things

Charles F. Van Loan previews his upcoming 2018 John von Neumann Lecture about the polygon averaging problem.

How Paradoxes Shape Mathematics and Give Us Self-verifying Computer Programs

How Paradoxes Shape Mathematics and Give Us Self-verifying Computer Programs

In his talk at AN18, Thomas Hales will explain how some paradoxes play into self-verifying computer programs.

Seeing Through Rock: Mathematics of Inverse Wave Propagation

Seeing Through Rock: Mathematics of Inverse Wave Propagation

In his talk at AN18, Bill Symes will discuss our knowledge of Earth's interior and how it is an inverse problem.

The Future of Scientific Computation

The Future of Scientific Computation

Humans have made enormous progress in recent decades regarding certain kinds of predictions.

Algebraic Vision

Algebraic Vision

Algebraic vision is an emerging viewpoint of geometric problems in computer vision that examines polynomial models.

Connections and Reconnections: A Link Between Mathematics, Physics, and DNA

Connections and Reconnections: A Link Between Mathematics, Physics, and DNA

Like many other areas of mathematics, the field of knot theory is rooted in questions related to the physical world.

Automatic Behavioral Analysis for Computational Psychiatry at Home

Automatic Behavioral Analysis for Computational Psychiatry at Home

There is a need to develop mathematical tools to analyze behaviors and make diagnosing technology widely available.

Nonlinear Patterns and Waves: From Spectra to Stability and Dynamics

Nonlinear Patterns and Waves: From Spectra to Stability and Dynamics

Besides being aesthetically pleasing, patterns and waves often serve important beneficial or detrimental functions.

Snow Business: Computational Elastoplasticity in the Movies and Beyond

Snow Business: Computational Elastoplasticity in the Movies and Beyond

In his talk at AN18, Joseph Teran will discuss how visual effects rely on a wide range of numerical methods for PDEs.

The Mathematics of Wrinkles and Folds

The Mathematics of Wrinkles and Folds

During his invited talk at AN18, Robert V. Kohn will discuss patterns in the wrinkling and folding of thin elastic...

Recent Advances in Dimensionality Reduction with Provable Guarantees

Recent Advances in Dimensionality Reduction with Provable Guarantees

Jelani Nelson will discuss dimensionality reduction from the viewpoint of low-distortion embeddings at AN18.