The London Institute’s papers are the official record of our discoveries. They allow others to build on and apply our work. Each one is the result of many months of research, so we strive to make them clear, inspiring and beautiful, and publish them in leading journals.

Whitney revisited
Algebraic geometry

Whitney revisited

A Whitney-type cusp and fold theorem is proved for general algebraic surface projections and for sparse univariate polynomial discriminants.

AEAlexander EsterovLVAY
ArXiv
paper
Algebraic geometry

Permuting the roots

The Galois group of a typical rational function is described and similar problems solved using the topology of braids and tropical geometry.

AEAlexander EsterovLL
Journal of the European Mathematical Society
Schön complete intersections
Algebraic geometry

Schön complete intersections

A uniform approach to a class of varieties is described that includes important types of objects from geometry, optimisation and physics.

AEAlexander Esterov
ArXiv
Engineered complete intersections: slightly degenerate Bernstein-Kouchnirenko-Khovanskii
Algebraic geometry

Slight degenerations

The tools used to study polynomial equations with indeterminate coefficients are extended to some important cases with interrelated ones.

AEAlexander Esterov
ArXiv
Algebraic geometry

Sparse singularities

Geometric properties, including delta invariants, are computed for singular points defined by polynomials with indeterminate coefficients.

AEESAV
Submitted
Algebraic geometry

Symmetric spatial curves

We study the geometry of generic spatial curves with a symmetry in order to understand the Galois group of a family of sparse polynomials.

AELL
ArXiv