Jean-Marc Deshouillers, born in Paris in 1946, has spent his career advancing the field of analytic number theory. A French mathematician, he has navigated the complexities of mathematical research and instruction across several prominent institutions, establishing a body of work that focuses on the fundamental properties of integers and prime numbers.
Academic Foundation
The educational trajectory of Deshouillers began at the École polytechnique, where he earned an engineer diploma in 1968. He subsequently pursued advanced studies at the Pierre and Marie Curie University, completing his doctoral degree in 1972. Following his graduation, he served as an assistant professor of mathematics at the École polytechnique during the 1970s, a period marked by the institution's relocation from Paris to Palaiseau.
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Deshouillers has collaborated on several significant results within analytic number theory. In 1985, working alongside Ramachandran Balasubramanian and François Dress, he determined that 19 is the minimum number of fourth powers required to express any positive integer as a sum of fourth powers, effectively resolving a specific case of Waring's problem. His research also includes improvements to the Kuznetsov trace formula, developed in partnership with Henryk Iwaniec. Furthermore, in 1997, he collaborated with Effinger and Herman te Riele to demonstrate that the ternary Goldbach conjecture holds true under the Generalized Riemann Hypothesis. Additional collaborative efforts include the discovery of the DDT theorem with François Dress and Gérald Tenenbaum.
Professional Tenure
Throughout his career, Deshouillers has held academic positions at the University of Bordeaux 1 and Bordeaux Segalen University. Beyond his domestic appointments, he participated in research at the Institute for Advanced Study in 2009. As an educator, he has supervised students including Gérald Tenenbaum, contributing to the academic lineage of the discipline. His scholarly output includes publications such as the 1984/85 work on the Waring problem for fourth powers.
Fast facts
- Born: 1946, Paris, France
- Field: Analytic number theory
- Education: École polytechnique, Pierre and Marie Curie University
- Key Theorem: DDT theorem
- Notable collaboration: Henryk Iwaniec
- Language proficiency: French, English
Questions readers ask
What specific area of mathematics does Jean-Marc Deshouillers study?
He specializes in analytic number theory.
What is the result of his work on the ternary Goldbach conjecture?
In 1997, he proved that every odd number greater than 5 is a sum of three prime numbers, contingent upon the Generalized Riemann Hypothesis.
Achievements
- Held posts at Bordeaux Segalen University and University of Bordeaux 1
- Fields: mathematics and analytic number theory
