📢 Coming up next week: the first MOSS seminar of Season 2.

🎙️ Danylo Radchenko (CNRS Research Fellow at Laboratoire Paul Painlevé)

🗣️ Title: Sphere packings and modular forms

🗓️ 5 February 2026 • 🕓 16:00 CET • Online

👉 Join the mailing list via the QR code in the image to receive the online access link. You can also join the list via the news story: https://euromathsoc.org/news/moss:-the-mathematics-online-seminar-series-by-emya-continues-198

#Mathematics #MOSS #ModularForms #SpherePackings #CNRS #EMS #EMYA

Behold Modular Forms, the ‘Fifth Fundamental Operation’ of Math

Modular forms are one of the most beautiful and mysterious objects in mathematics. What are they?

Quanta Magazine

Modular Forms: fundamental math operation
1 of most beautiful/mysterious objects in math
https://www.quantamagazine.org/behold-modular-forms-the-fifth-fundamental-operation-of-math-20230921
Discussion: https://news.ycombinator.com/item?id=37608061
LMFDB: https://www.lmfdb.org/intro

https://en.wikipedia.org/wiki/Modular_form
* complex analytic function: satisfies
1. group action of modular group (2 × 2 matrices w. integer coefficients & det. 1)
2. growth condition (https://mathoverflow.net/questions/59924/what-monsters-does-the-growth-condition-required-of-holomorphic-modular-functi)
* rel: algebraic topology, sphere packing, string theory

#mathematics #ModularForms #symmetry #NumberTheory #ComplexAnalysis

Behold Modular Forms, the ‘Fifth Fundamental Operation’ of Math

Modular forms are one of the most beautiful and mysterious objects in mathematics. What are they?

Quanta Magazine