The Bogomolov conjecture reached a definitive resolution in 1998 through the collaborative application of Arakelov theory, a project spearheaded by Emmanuel Ullmo alongside Shou-Wu Zhang. This proof remains a primary indicator of his contributions to arithmetic and algebraic geometry, disciplines that form the technical backbone of his academic trajectory within the French mathematical establishment and beyond.
Academic Formation and Early Career
Born in Paris in 1965, Ullmo pursued his foundational studies at the École normale supérieure Paris-Saclay. He completed his doctoral thesis in 1993 at the University of Paris-Sud, operating under the supervision of Lucien Szpiro. Following his graduation, he established a career that involved significant international engagement, including an eighteen-month tenure at IMPA, a two-year research period at Princeton University, and a six-month appointment at Tsinghua University.
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In 2001, Ullmo secured a professorship at the University of Paris-Sud. His administrative influence expanded in 2013 when he succeeded Jean-Pierre Bourguignon as the fifth director of the Institut des Hautes Études scientifiques. Beyond his leadership roles, he contributed to the distribution of mathematical literature by serving as an editor for the journal Inventiones mathematicae from 2007 until 2014.
Professional Recognition and Membership
Ullmo’s research has received notable formal acknowledgment within the scientific community. He delivered an invited address at the 2002 International Congress of Mathematicians held in Beijing. In 2006, the French Academy of Sciences awarded him the Élie Cartan Prize, specifically citing his work on the Bogomolov conjecture. He held a junior fellowship at the Institut de France between 2003 and 2008 and is currently a member of the Academia Europaea and the Institut Universitaire de France. In September 2023, he received the rank of Knight of the Legion of Honour, an appointment originally made in 2022 by Sylvie Retailleau.
Fast facts
- Born: 1965, Paris
- Citizenship: France
- Field: Algebraic geometry
- Doctoral advisor: Lucien Szpiro
- IHÉS director tenure: 2013-present
- Élie Cartan Prize: 2006
- Legion of Honour: 2022
Questions readers ask
What is Emmanuel Ullmo's primary mathematical achievement?
He is recognized for proving the Bogomolov conjecture in 1998 in collaboration with Shou-Wu Zhang, utilizing Arakelov theory.
Where does Emmanuel Ullmo currently serve in an administrative capacity?
Since 2013, he has served as the director of the Institut des Hautes Études scientifiques.
Achievements
- Élie Cartan Prize — 2006
- Knight of the Legion of Honour — 2022
- Held posts at University of Paris-Sud
- Fields: algebraic geometry