VB - Research
About CV Teaching Research Talks Mathematical musings

Research statement

Preprints

2024
On ordered groups of regular growth rates arxiv

2022
Hyperexponentially closed fields HAL

Surreal numbers as hyperseries - with J. vdHoeven HAL

2021
The hyperserial field of surreal numbers - with J. vdHoeven HAL

Hyperserial fields - with J. vdHoeven and E. Kaplan HAL

2020
Sign sequences of log-atomic numbers HAL

Defining a surreal hyperexponential - with J. vdHoeven and V. Mantova HAL

2019
Surreal substructures - with J. vdHoeven HAL

Papers

2024
Surreal substructures - with J. vdHoeven arxiv

PhD thesis

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