# ERC Starting grant 10000 DIGITS

*Transcendental methods in computational nonlinear algebra*

- host institution
- Inria, France
- project duration
- from 2022 to 2027
- funding
- 1 400 000 €

This project is about developing algorithms and software to compute with high precision integrals with a geometric origin, especially periods of algebraic variety, and tackle applications in diophantine approximation, quantum field theory and optimization. We do this by leveraging symbolic integration, D-module theory, high-precision ODE solving and numerical algebraic geometry.

## Members

- principal investigator
- Pierre Lairez
- phd student
- Eric Pichon-Pharabod (co-advised with Pierre Vanhove)

## Available positions

There are available positions: internships, PhD theses, postdocs. You can apply at any time by sending me an email (please put “10000digits” in the subject).

- requirements
- enjoy doing effective mathematics, that is going from “does there exist?” to “how to compute?”
- enjoy programming (C, julia, python, etc), a useful algorithm is an algorithm that runs