معرفی
Dr. Cécile Gachet serves as a Junior Professor of Algebraic Geometry at the Faculty of Mathematics, Ruhr-University Bochum (RUB), appointed as of October 1, 2024. Her academic journey includes a PhD from Université Côte d'Azur (February 2023) under Prof. Andreas Höring and a postdoctoral fellowship at Humboldt-Universität zu Berlin (2023–2024) in Prof. Gavril Farkas' group. She leads the Gachet Group and is an organizer of the Oberseminar “Complex and Algebraic Geometry”, a guest seminar focused on cutting-edge research topics. Dr. Gachet is also a Mercator Fellow of the SFB-TRR 195 (Symbolic Tools in Mathematics and their Applications) and collaborates with the Floer Center of Geometry (SFB/TRR 191).
Research Interests: Her work centers on algebraic geometry, particularly birational geometry, positivity properties of tangent sheaves, and rational curves on Fano/Calabi-Yau varieties. Key topics include automorphism groups of complex algebraic varieties, divisor cones (nef, movable, big, effective) as positivity notions, the Morrison-Kawamata-Totaro cone conjecture, techniques from the Minimal Model Program, and connections between birational automorphism groups and positive cones. She explores theoretical frameworks like Hodge modules and Calabi-Yau foliations, intersecting with symplectic geometry and differential dynamics.
Upcoming Activities: Dr. Gachet is organizing the Workshop on D-modules (March 5–7, 2025) and will teach Commutative Algebra in the next term. She is actively recruiting a PhD student for a 3-year position starting September 2025, emphasizing research in complex algebraic geometry with a focus on birational methods and positivity properties. The position is part of her collaborative efforts under the SFB-TRR 195.
- Grants & Collaborations:
- Principal Investigator in SFB-TRR 191 (Floer Center of Geometry)
- Mercator Fellowship via SFB-TRR 195
- Outreach:
- Co-organizer of middle/high school math workshops (e.g., fractals presentation in Nice)
- Creator of flipbooks illustrating algebraic topology concepts
- Participant in Fête de la Science 2025
Labs/Teams: She heads the Gachet Group at RUB and contributes to the interdisciplinary Floer Center of Geometry, collaborating with groups like those led by Christian Lehn and Alberto Abbondandolo. Her office is located in Building IB, Room 89 (Floor 3).
