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## Homotopy Theory of Algebraic Varieties and Wild Ramification

A Starting Grant funded by the ERC

Supported by the program Premia na Horyzoncie of the MNiSW

Duration: June 2019–June 2024 (60 months)

Total funding: 1 007 500 EUR (ERC) + 1 518 438 PLN (MNiSW)

Host institution: IMPAN in Warsaw

Grant number: 802787 KAPIBARA

#### Description

The project is devoted to the study of algebraic varieties and other algebraically defined geometric objects, especially over fields other than the complex numbers. The more specific goals belong are related to:

1. Étale fundamental groups and étale homotopy
2. Characteristic $p$ and $p$-adic geometry
3. Wild ramification of $\ell$-adic sheaves and irregular singularities of differential equations
4. Applications of logarithmic geometry to topology of algebraic varieties

#### Research team

• Piotr Achinger (PI)
• Marcin Lara (postdoc 2019-)
• Alex Youcis (postdoc 2019-)
• two more 2-year postdoc positions in the next years - contact PI if interested
• two PhD student scholarships - contact PI if interested

#### Postdoc positions

First call (closed): deadline Feb 28, 2019.