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Simons Laufer Mathematical Sciences Institute (SLMath)

This summer school will offer a hands-on introduction to discriminants, with a view towards modern applications. Starting from the basics of computational algebraic geometry and toric geometry, the school will gently introduce participants to the foundations of discriminants. A particular emphasis will be put on computing discriminants of polynomial systems using computer algebra software. Then, we will dive into three applications of discriminants: algebraic statistics, geometric modeling, and particle physics. Here, discriminants contribute to the study of maximum likelihood estimation, to finding practical parametrizations of geometric objects, and to computations of scattering amplitudes. We will explain recently discovered unexpected connections between these three applications. In addition to lectures, the summer school will have daily collaborative exercise sessions which will be guided by the teaching assistants and will include software demonstrations.

KMPB, Humboldt-Universität zu Berlin

The KMPB School 2025: D-branes in Physics & Mathematics is a one-week program which will offer introductory courses covering topics underlying the modern understanding of D-branes in string theory and their incarnations in mathematics. The school is organized by PhD students at Humboldt-Universität zu Berlin with the support of the KMPB (Kolleg Mathematik Physik Berlin), an interdisciplinary center at HU whose community of research groups shares a mutual interest in mathematics and physics. In the spirit of the KMPB, the school aims at generating synergies between mathematicians and physicists and welcomes early career researchers (PhDs/PostDocs) in both fields.

Organizers;     Email: kmpbschool2025@gmail.com

string theory, mirror symmetry, D-branes, mathematical physics

High Energy Physics, Particles and Fields,    Mathematical Physics

The summer school is about formulas of Siegel and Weil and its impact in the theory of sphere packings, number theory, and geometry. The summer school takes place at Bielefed University.

Number Theory, Arithmetic,    Geometry and Topology