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Claire Voisin

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Claire Voisin is a highly influential French mathematician.

ClaireVoisinBMC2014
ClaireVoisinBMC2014

She specializes in a field known as algebraic geometry. This branch of mathematics uses algebraic equations to study geometric shapes. Voisin focuses on complex structures and how they behave. Her research includes variations of Hodge structures and mirror symmetry. These topics explore the deep connections between different mathematical shapes and spaces. She has also written several important books about Hodge theory.

Mathematical progress often happens by testing famous ideas. Sometimes, a mathematician proves that a long-held idea is actually incorrect. In 2002, Voisin achieved this by disproving a specific version of the Hodge conjecture. This conjecture applied to compact Kähler varieties. The Hodge conjecture is one of the seven Millennium Prize Problems. These problems were selected by the Clay Mathematics Institute in 2000. Each of these seven problems carries a prize of one million US dollars.

Voisin has also worked extensively on the Kodaira conjecture. This conjecture involves deformations of compact Kähler manifolds. In 2008, she received the Clay Research Award for her disproof of this idea. Her work on this topic helped change how mathematicians understand these manifolds. She also made a major breakthrough regarding Green's conjecture. This conjecture concerns the syzygies of the canonical embedding of an algebraic curve. Voisin solved the generic case of this specific problem.

Green's conjecture was a very difficult puzzle for the math community. Algebraic geometers had been studying this specific case for over two decades. Voisin's resolution provided much-needed clarity to the field. While she solved the generic case, the full conjecture for all arbitrary curves remains partially open. This shows that mathematical discovery is often a continuous process. Her work on these conjectures demonstrates her ability to tackle long-standing mysteries.

Throughout her career, Voisin has received many prestigious honors. She won the European Mathematical Society Prize in 1992. In 1996, she was awarded the Servant Prize by the Academy of Sciences. She received the Sophie Germain Prize in 2003. In 2017, she shared the Shaw Prize in Mathematical Sciences with János Kollár. Recently, in 2024, she became the first woman to win the Crafoord Prize in Mathematics.

ClaireVoisinBMC2014
ClaireVoisinBMC2014

Her professional achievements include several historic firsts. In 2016, she became the first female mathematician to join the Collège de France. She was also the first person to hold the Chair of Algebraic Geometry at that institution. She held this chair from 2015 to 2020. In the same year, she received the Gold medal of the French National Centre for Scientific Research. This is the highest scientific research award in France.

Voisin is recognized by many elite scientific organizations worldwide. She is a member of the French Academy of Sciences. In 2009, she joined the German Academy of Sciences Leopoldina. She was elected to the Academia Europaea in 2014. In 2016, she became a foreign associate of the National Academy of Sciences. She was also elected a Foreign Member of the Royal Society in 2021.

Beyond her research, Voisin has contributed to the global math community. She was an invited speaker at the 1994 International Congress of Mathematicians in Zürich. In 2010, she served as a plenary speaker at the Congress in Hyderabad. She also served on the Mathematical Sciences jury for the Infosys Prize from 2017 to 2019. Her academic life is deeply connected to many international institutions. Her work continues to influence the study of algebraic geometry across the world.

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