Contact
- -Institute for Mathematics and Fundamental Physics, Shanghai, China
- -ORCID ID: https://orcid.org/0009-0005-2753-3207
- -Email: virgile.tapiero[at]imfp.org.cn
About me
I am a joint postdoctoral fellow at the Institute for Mathematics and Fundamental Physics (IMFP) and the Institute for Mathematical Sciences (IMS) at Stony Brook University. I spent the first year of my postdoc at the IMFP in China, from September 2025 to August 2026, with funding from the IMFP continuing until January 2027. During this time, I was also a co-organizer of the IGP-IMFP Joint Seminar. This fall, I am joining the IMS at Stony Brook University as a Milnor Lecturer.
Research interest
Dynamics in several complex variables. My research is in pluripotential theory and ergodic theory, using positive closed currents, invariant measures and their Lyapunov exponents, and measurable partitions. During my PhD, I studied endomorphisms of the complex projective plane and their ergodic properties (Lyapunov exponents, regularity of equilibrium measures, Green currents) and their geometric properties (invariant holomorphic foliations). During my postdoc in Orléans, I studied polynomial dynamics, holomorphic families, and bifurcation phenomena in dimension greater than one, while continuing the directions of my thesis. Since the beginning of my research fellowship in China, I have started to work on non-Archimedean dynamics and its links with polynomial dynamics in several complex variables.
key words– Green current, equilibrium measure, Lyapunov exponents.
Past and present positions
- -2026-2028: Post-doctoral position, Milnor Lecturer Institute for Mathematical Sciences, Stony Brook University, USA.
- -2025-2026: Post-doctoral position, Institute for Mathematics and Fundamental Physics, China.
- -2023-2025: Post-doctoral position, under the supervision of Matthieu Astorg at the IDP, Institut Denis Poisson, University of Orléans, France.
- -2020-2023: Ph.D student, under the supervision of Christophe Dupont at the University of Rennes, France. Manuscript available here.
Education
- -2020-2023: Ph.D in Mathematics under the direction of Christophe Dupont, University of Rennes 1, France.
- -2019-2020: Master's degree in Mathematics, University of Rennes 1, France.
- -2018-2019: Agrégation, rang 85/308, Université de Bordeaux, Bordeaux, France.
- -2017-2018: First year of master's degree in Mathematics, University of Bordeaux, France.
- -2016-2017: Licence degree in Mathematics, University of Bordeaux, France.
- -2013-2016: Classes préparatoires (CPGE) MPSI-MP, Lycée Michel-Montaigne, Bordeaux, France.
Preprints and publications
- Tapiero, V. (2026). Normal forms, Lyapunov exponents, and pluripotential theory on Pk(C). Preprint available on HAL/arXiv
- Tapiero, V. (2025). Hyperbolic components and iterated monodromy of polynomial skew-products of C2. Preprint available on arXiv
- Tapiero, V. (2024). Invariant foliations for endomorphisms of P2 with a pluripotentialist product structure. Preprint available on HAL/arXiv
- Dupont, C. & Tapiero, V. (2023). On slice measures of Green currents on CP(2). To appear in the proceedings of the Simons Symposia on Algebraic, Complex, and Arithmetic Dynamics. Preprint available on HAL/arXiv