# Fabrice Rouillier

> Ph.D. Université Rennes I 1996

**Wikidata**: [Q102254063](https://www.wikidata.org/wiki/Q102254063)  
**Source**: https://4ort.xyz/entity/fabrice-rouillier

## Summary
Fabrice Rouillier is a French researcher and programmer known for his work in computational mathematics and software development. He earned his Ph.D. from Université Rennes I in 1996 and has made significant contributions to the field of computer algebra and interval arithmetic.

## Biography
- Born: Not specified
- Nationality: French
- Education: Ph.D. in Mathematics, Université Rennes I, 1996
- Known for: Development of MPFI library for arbitrary precision interval arithmetic
- Employer(s): Institut National de Recherche en Informatique et en Automatique (INRIA)
- Field(s): Computer algebra, computational mathematics, software engineering

## Contributions
Fabrice Rouillier is the creator of MPFI (Multiple Precision Floating-point Interval), a library for arbitrary precision interval arithmetic launched in 2000. This library provides reliable numerical computations by maintaining rigorous error bounds throughout calculations, which is crucial for scientific computing applications where numerical stability is paramount. His work bridges theoretical mathematics with practical software implementation, enabling researchers and engineers to perform complex calculations with guaranteed precision. Rouillier has also mentored doctoral students including Mohab Safey El Din and Cuong Tran, contributing to the education of the next generation of computational mathematicians.

## FAQs
### Q: What is Fabrice Rouillier's most significant contribution to computer science?
A: Fabrice Rouillier created MPFI, a library for arbitrary precision interval arithmetic that provides reliable numerical computations with rigorous error bounds.

### Q: Where did Fabrice Rouillier complete his doctoral studies?
A: He earned his Ph.D. from Université Rennes I in 1996, with Marie-Françoise Roy as his doctoral advisor.

### Q: What is Fabrice Rouillier's current professional affiliation?
A: He is affiliated with INRIA (Institut National de Recherche en Informatique et en Automatique), France's national research institute for computer science and applied mathematics.

## Why They Matter
Fabrice Rouillier's development of MPFI has provided the scientific computing community with essential tools for performing reliable numerical calculations. In fields where computational errors can propagate and lead to incorrect conclusions, his interval arithmetic library ensures that results come with mathematically rigorous error bounds. This work has enabled more trustworthy simulations in engineering, physics, and other quantitative disciplines. By combining deep mathematical knowledge with practical software engineering, Rouillier has helped bridge the gap between theoretical computer science and applied computational methods, making advanced mathematical techniques accessible to practitioners who need guaranteed numerical accuracy.

## Notable For
- Creator of MPFI library for arbitrary precision interval arithmetic (2000)
- Ph.D. graduate from Université Rennes I (1996)
- Mentor to doctoral students including Mohab Safey El Din and Cuong Tran
- Researcher at INRIA, France's national research institute for computer science
- Contributor to computational mathematics and computer algebra systems

## Body
### Academic Background
Fabrice Rouillier completed his doctoral studies at Université Rennes I in 1996, focusing on computational mathematics. His doctoral advisor was Marie-Françoise Roy, a prominent mathematician in the field of real algebraic geometry.

### Software Development
The MPFI library, created by Rouillier in 2000, implements multiple precision interval arithmetic, allowing computations to maintain rigorous error bounds. This library is particularly valuable in applications requiring certified numerical results, such as control theory, robotics, and scientific simulations where numerical stability is critical.

### Research Impact
Rouillier's work at INRIA has contributed to advancing computational methods in mathematics. His research bridges theoretical foundations with practical implementations, making sophisticated mathematical techniques accessible through well-designed software tools. The MPFI library has become a standard tool in the computational mathematics community for tasks requiring guaranteed precision.

### Academic Mentorship
As a doctoral advisor, Rouillier has guided the research of students including Mohab Safey El Din and Cuong Tran, helping to develop the next generation of researchers in computational mathematics and computer algebra.

## References

1. Mathematics Genealogy Project