VB - Research
About CV Teaching Research Talks Mathematical musings

Research statement

Preprints

(arXiv) (HAL)

2024

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.

On ordered groups of regular growth rates.

2022

Hyperexponentially closed fields.

Surreal numbers as hyperseries. With J. vdHoeven.

2021

The hyperserial field of surreal numbers. With J. vdHoeven.

Hyperserial fields. With J. vdHoeven and E. Kaplan.

2020

Sign sequences of log-atomic numbers.

Defining a surreal hyperexponential. With J. vdHoeven and V. L. Mantova.

Papers

2024

Surreal substructures. With J. vdHoeven. To appear in Fundamenta Mathematicae.

PhD thesis

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