These singularities offer a refined lens through which to view the geometry of algebraic varieties, helping to classify and understand their complex global structures. In recent years, significant ...

A systematic procedure in birational geometry aimed at simplifying the structure of algebraic varieties by successive contractions and flips, ultimately leading to a model with mild singularities.

The course introduces the basic objects in algebraic geometry: Affine and projective varieties and maps between them. It covers the concepts of dimension, singularities, curves and intersection theory ...

Physicists recently mapped the hidden shape that underlies the quantum behaviors of a crystal, using a new method that’s ...

Earth’s tilt is what causes the seasons; in the summer, when our planet’s pole is tipped toward the sun, the days are longer, ...

This is a topics course in continuation of MAT4215 – Algebraic Geometry II. The content varies between different current fields of research and covers both advanced methods and topics. Examples of ...

The primary source code repository for Macaulay2, a system for computing in commutative algebra, algebraic geometry and related fields.

Check details in the table below. Quantitative Skills: This section tests mathematical aptitude across Arithmetic, Algebra, Geometry, Modern Math, and Data Interpretation. Key topics include ...

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