Johann Verwee

PhD in Mathematics

Analytic and Probabilistic Number Theory

Scientific computing, simulation and data analysis

CV (PDF)

Research

Thesis & Master thesis

Contact

Email : mverwee (at) gmail [dot] com

Research interests

Quantitative limit theorems in number theory (Erdős–Wintner, Berry–Esseen)
Short intervals: mean values and fluctuations
Numeration systems / structured digit expansions
Probabilistic models and finite-memory (automaton/transducer) methods
Numerical experiments & computational number theory

I work in analytic and probabilistic number theory, with a focus on quantitative limit laws (Erdős–Wintner, Berry–Esseen) for additive functions and structured digit models in numeration systems.

My research combines probabilistic and analytic methods with finite-memory models (automata/transducers) when relevant. I also run numerical experiments to test heuristics and to support intuition.

I am currently applying for postdoctoral positions and welcome discussions and collaborations.

Publications

3. Effective Erdős-Wintner theorem for Cantor systems via a trailing-window method, International Journal of Number Theory (March 2026), published online.

2. Effective Erdős-Wintner theorems for digital expansions (with M. Drmota), Journal of Number Theory, 229 (December 2021), pages 218-260.

1. Effective Erdős-Wintner theorems (with G. Tenenbaum), Proc. Steklov Inst. Math., 314 (September 2021), pages 264-278.

Preprints

6. Linear truncation on conditioned prime-factor fibres (March 2026).

5. A semigroup approach to iterated binomial transforms (January 2026).

4. Diagonal symmetrisation of tridiagonal Toeplitz matrices (January 2026).

3. A spectral product formula for repunits via a tridiagonal Toeplitz similarity (December 2025).

2. Nonasymptotic Quasi-Monte Carlo Bounds for Sobol' Indices: Bias via Discrepancy and Variance via a Large Sieve (October 2025).

1. Improvement of effective Erdős-Wintner theorem for Zeckendorf expansions (September 2025).

Under review / submitted

2. Short intervals for the Romanoff-type sumset (with Y. Ding), submitted (Februar 2026).

1. Erdős-Wintner theorem for linear recurrent bases, under review at Journal of Number Theory (January 2026).

In preparation

1. Dirichlet theorem for terminal blocks in Pisot numeration systems (with S. Chang).

2. A local Halász theorem in short intervals with an explicit local main term.

3. Erdős--Wintner theorem for quadratic Ostrowski numeration.

4. Erdős-Wintner theorem on the fibre ω(n;E)=k for residue-class prime sets.

5. Uniform Erdős--Wintner theorem in short intervals.

Talks

Numeration 2026, Vandœuvre-lès-Nancy (France), June 5, 2026.
Number Theory Seminar, Charles University, Prague, March 11, 2026 (online).
Nancy-Metz Number Theory Seminar, IECL, December 10, 2021 (online).
Ernest Seminar, Institut de Mathématiques de Marseille, May 11, 2021 (online).
Nancy-Metz PhD Students' Day, October 2, 2020.
Nancy-Metz PhD Students' Day, May 17, 2018.

Curriculum Vitae

My CV is here.

Thesis & Master thesis

Doctorate thesis (in French): Théorèmes d’Erdős-Wintner effectifs, joint supervision between Université de Lorraine and Technische Universität Wien, under the supervision of Professors G. Tenenbaum & M. Drmota, defended on November 20, 2020.

Master thesis (in French): La fonction lambda de Liouville dans les petits intervalles

Under the direction of G. Tenenbaum, Université de Lorraine, 2016.