VB - Research
About CV Teaching Research Talks Mathematical musings

Research statement

Papers

2025

Formal conjugacy and asymptotic differential algebra. Journal of Algebra (to appear), 2025.

On ordered groups of regular growth rates. Journal of Logic and Analysis, 17(4):1--42, 2025.

2024

Surreal substructures. With J. van der Hoeven. Fundamenta Mathematicae, 266(2):25--96, 2024.

Preprints

(arXiv) (HAL)

2025

Ordered groups of formal series, and a conjugacy problem.

2024

Taylor expansions over generalised power series. With V. L. Mantova.

Hyperseries subfields of surreal numbers.

Equations over valued groups.

Groups with infinite linearly ordered products.

Automorphisms and derivations on algebras endowed with infinite sums. With L. S. Krapp, S. Kuhlmann, D. C. Panazzolo and M. Serra.

2022

Hyperexponentially closed fields.

Surreal numbers as hyperseries. With J. van der Hoeven.

2021

The hyperserial field of surreal numbers. With J. van der Hoeven.

Hyperserial fields. With J. van der Hoeven and E. Kaplan.

2020

Sign sequences of log-atomic numbers.

Defining a surreal hyperexponential. With J. van der Hoeven and V. L. Mantova.

Proceedings, etc

Hyperseries and surreal numbers. Contributions au Séminaire de Structures Algébriques Ordonnées, Actes des années 2020--2022, edited by F. Delon, M. Dickmann and D. Gondard, 2022.

PhD thesis

Title:
Hyperseries and surreal numbers
Abstract (pdf)
Defended on October, 21, 2022. Manuscript (pdf)