Prof. Dr. Christian Weiß

In 2012, Christian finished his PhD thesis on “Twisted Teichmüller curves”. His advisors were Martin Möller, Goethe-University Frankfurt, and Don Zagier, Max-Planck Insitute for Mathemtics Bonn. After a short period as postdoc at Goethe-University Frankfurt, he moved to the financial industry working as an actuary in risk management. In 2017, he became a professors for mathematics at Ruhr West University of Applied Sciences. Since 2018 he is also the dean of the faculity . In 2022, Christian completed his habilitation on "Number Theoretic, Dynamical and Geometric Contributions to Equidistribution Theory" at Würzburg University. The members of his habilitation committee were Jörn Steuding (Würzburg University), Christoph Aistleitner (Technical University Graz) and Jürgen Sander (Hildesheim University).

• German Mathematical Society (Deutsche Mathematik Vereinigung, DMV)
• German Association of Actuaries (Deutsche Aktuarvereinigung, DAV)
• German Society for Insurance and Finacial Mathematics (Deutsche Gesellschaft für Versicherungs- und Finanzmathematik, DGVFM)
• Graduate School for Applied Research in NRW (Promotionskolleg NRW, PK NRW)

• Dean of faculty 4
• Head of the department of natural sciences
• Member of the senate

- Equidistribtuion theory, in particular Quasi-Monte Carlo methods and pair correlation statitic

- Analytic and algebraic number theory 

- Discrete groups and dynamical systems

- Applications of machine learning in financial mathematics

Articles, Pure Mathematics

[1] J Fiedler and C. Weiß, On the Pair Correlation Statistic of Sequences with Finite Gap Property. to appear in: Archiv der Mathematik, 2025.

[2] C. Weiß. Polynomial p-adic Low-Discrepancy Sequences. to appear in: Finite Fields and Their Applications, 2025.

[3] C. Weiß. P-adic Poissonian Pair Correlations via the Monna Map. to appear in: Indagationes Mathematicae, 2024.

[4] C. Weiß Pair correlations, Beta Distribution, and Hypergeometric Functions. to appear in: Theory of Probability and Mathematical Statistics, 2024.

[5] A. Schmiedt, and C. Weiß. The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms. to appear in: Journal of Number Theory, 2024.

[6] C. Weiß. On the discrepancy of low-dimensional probability measures. Theory of Probability and Mathematical Statistics, 111, 199–209, 2024.

[7] C. Weiß, On the N -point correlation of van der Corput sequences. Bulletin of the Australian Mathematical Society, 109(3):471–475, 2024.

[8] Fiedler, M. Gnewuch, and C. Weiß. New Bounds for the Extreme and the Star-Discrepancy of Double- Infinite Matrices. to appear in: A. Hinrichs, P. Kritzer, F. Pillichshammer (eds.) Monte Carlo and Quasi-Monte Carlo Methods, Springer Verlag, 2023.

[9] C. Weiß. Remarks on the pair correlation statistic and lattice point counting. Contributions to Algebra and Geometry,  65:337–-342, 2024.

[10] C. Weiß. Deviation from equidistance for one-dimensional sequences. Aequationes Mathematicae, 97:683–705, 2023.

[11] C. Weiß. Approximation of discrete measures by finite point sets. Uniform Distribution Theory, 18:31–38, 2023.

[12] M. Goering, and C. Weiß. A study in quantitative equidistribution on the unit square. Acta Arithmetica, 205:63–85, 2022.

[13] C. Weiß. Some connections between Discrepancy, finite gap properties and pair correlations. Monatshefte für Mathematik, 199:909–927, 2022.

[14] C. Weiß, and T. Skill. Sequences with almost Poissonian pair correlations. Journal of Number Theory, 236:116–127, 2022.

[15] C. Weiß. Multi-dimensional Kronecker sequences with a small number of gap lengths. Discrete Mathematics and Applications, 32(1):69–74, 2022.

[16] C. Weiß. Systems of rank one, explicit Rokhlin towers, and covering numbers. Archiv der Mathematik, 118(2):181–193, 2022.

[17] M. Gnewuch, H. Pasing, and C. Weiß. A generalized Faulhaber inequality, improved bracketing covers, and Applications to Discrepancy. Mathematics of Computation, 90:2873–2898, 2021.

[18] S. Fairchild, M. Goering, and C. Weiß. Families of well-approximable measures. Uniform Distribution Theory, 16(1):53–70, 2021.

[19] C. Weiß. Discrepancy properties and conjugacy classes of interval exchange transformations. Monatshefte für Mathematik, 196(2):399–410, 2021.

[20] H. Pasing, and C. Weiß. Improving a constant in high-dimensional discrepancy estimates. Publications de l’Institut Mathematique, 107:67–74, 2020.

[21] C. Weiß. Deducing three gap theorem from Rauzy-Veech induction. Revista Colombiana de Matematicas, 54:31–37, 2020.

[22] C. Weiß, and Z. Nikolic. An Aspect of Optimal Regression Design for LSMC. Monte Carlo Methods and Applications, 2019(4): 283–290, 2019.

[23] C. Weiß. Interval exchange transformations and low-discrepancy. Annali di Matematica Pura ed Applicata, 198:399–410, 2019.

[24] C. Weiß. Non-Congruence of Homology Veech groups in genus two. Geometriae Dedicata., 201:253–280, 2019.

[25] C. Weiß. On the classification of LS-sequences. Uniform Distribution Theory, 13(2):83–92, 2018. 

[26] C. Weiß. Twisted Teichmüller Curves, Springer Lecture Notes in Mathematics, Vol. 2041, 2014.

[27] C. Weiß. A note on modular curves and fundamental units of negative norm. Math. Vesn., 66(3):315–316, 2014.

[28] W. Kohnen, and C. Weiß. Orthogonality and Hecke operators. Proc. Indian Acad. Sci. (Math Sci.)., 119(3):283–
286, 20

Preprints, Pure Mathematics

[1] P. L’Ecuyer and C. Weiß, Lattice Tester: A Software Tool to Analyze Integral Lattices. Preprint, 2025.

[2] C. Weiß. Scrambled Halton Subsequences and Inverse Star-Discrepancy. Preprint, 2024.

[3] S. Čopar, and C. Weiß Gap widths in the fractional parts of roots. Preprint, 2024.

[4] Fiedler, and C. Weiß. Weak Poissonian box correlations of higher order. Preprint, arXiv:2312.11105, 2023.

[5] C. Weiß. A p-adic Poissonian Pair Correlation Concept. Preprint, arXiv:2308.15446, 2023.

[6] C. Weiß. An explicit non-Poissonian pair correlation function. Preprint, arXiv:2304.14202, 2023.

Articles, Artificial Intelligence

1] M. Kiermayer, and C. Weiß. Neural calibration of hidden inhomogenous Markov chains. to appear in: Machine Learning, 2022.

[2] V. Danchuk, A. Comi, C. Weiß, and V. Svatko, V. The optimization of cargo delivery processes with dynamic route updates in smart logistics. Eastern-European Journal of Enterprise Technologies, 2(3(122)), 64–73, 2023.

[3] M. Kiermayer, and C. Weiß. Grouping of contracts in insurance using neural networks. Scandinavian Actuarial Journal, 2021(4):295-322, 2021.

[4] Z. Nikolic, and C. Weiß. Machine Learning in der aktuariellen Risikomodellierung. Proceedings zum 15. FaRis, 2020.

[5] Q. Culver, D. Heitmann, and C. Weiß. The Influence of Seed Selection on the Solvency II Ratio. Der Aktuar, 2018(1): 15–18, 2018.

[6] C. Bettels, J. Fabrega, and C. Weiß. Anwendung von Least Squares Monte Carlo im Solvency II Kontext – Teil 2. Der Aktuar, 2014(3):61–65, 2014.

[7] C. Bettels, J. Fabrega, and C. Weiß. Anwendung von Least Squares Monte Carlo im Solvency II Kontext – Teil 1. Der Aktuar, 2014(2):151–155, 2014.

Monographs

[1] D. Heitmann, T. Skill, and C. Weiß. Finanzmathematik. erscheint bei Springer-Gabler, 2022. 

[2] A. Hirn, and C. Weiß. Analysis – Grundlagen und Exkurse: Mehrdimensionale Integralrechnung und ihre Anwendungen. Springer, 2018.

[3] A. Hirn, and C. Weiß. Analysis – Grundlagen und Exkurse: Grundprinzipien der Differential- und Integralrechnung. Springer, 2017.

Software

[1] P. L’Ecuyer, E. Bourceret, D. Munger, M.-A. Savard, R. Simard, M. Thiongane, and C. Weiß. Lattice tester. https://github.com/umontreal-simul/latticetester, 2024.

[2] P. L’Ecuyer, E. Bourceret, D. Munger, M.-A. Savard, R. Simard, P. Wambergue, and C. Weiß. LatMRG. https://github.com/umontreal-simul/latmrg, 2024.