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).

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

• 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)

- 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

[1] J. Fiedler, and C.Weiß. Weak Poissonian box correlations of higher order. to appear in: Contribution to Discrete Mathematics, 2026.

[2] C. Weiß. An explicit non-Poissonian pair correlation function. to appear in: International Journal of Number Theory, 2026.

[3] C.Weiß. A p-adic Poissonian Pair Correlation Concept. to appear in: Acta Mathematica Sinica, 2026.

[4] P. L’Ecuyer und C. Weiß. Lattice Tester: A Software Tool to Analyze Integral Lattices. In: Lemieux, C., Feng, B. (eds.) Monte Carlo and Quasi Monte Carlo Methods 2024, MCQMC, 2024, Springer Proceedings in Mathematics & Statistics, vol 522. Springer, Cham, 317–335, 2026.

[5] C. Weiß. On the Convergence Rate of Pair Correlations. to Ricerche di Matematica, 75:49–757, 2026.

[6] J. Fiedler, M. Gnewuch, and C. Weiß. Poissonian pair correlations for dependent random variables Journal of Mathematical Analysis and Applications, 557(1), 2026.

[7] C. Weiß. Hammersley Point Sets and Inverse of Star-Discrepancy. Journal of Complexity, 93, 2026.

[8] S. Čopar, and C. Weiß. Gap widths in the fractional parts of roots. International Journal of Number Theory, 21(10):2281–2304, 2025. 

[9] J. Fiedler and C. Weiß. On the Pair Correlation Statistic of Sequences with Finite Gap Property. Archiv der Mathematik, 125:107–113, 2025. 

[10] C. Weiß. Polynomial p-adic Low-Discrepancy Sequences. Finite Fields and Their Applications, 105, 2025.

[11] C. Weiß. P-adic Poissonian Pair Correlations via the Monna Map. Indagationes Mathematicae, 36(3):912–919, 2025.

[12] C. Weiß. Pair correlations, Beta Distribution, and Hypergeometric Functions. Theory of Probability and Mathematical Statistics, 112:153–164, 2025.

[13] A. Schmiedt, and C. Weiß. The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms. Journal of Number Theory, 259:422–437, 2024.

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

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

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

[17] M. Kiermayer, and C. Weiß. Neural calibration of hidden inhomogenous Markov chains. Machine Learning, 113:7129–7156, 2024.

[18] J. Fiedler, M. Gnewuch, and C. Weiß. New Bounds for the Extreme and the Star-Discrepancy of Double-Infinite Matrices. in: A. Hinrichs, P. Kritzer, F. Pillichshammer (eds.) Monte Carlo and Quasi-Monte Carlo Methods, Springer Verlag, 2024.

[19] V. Danchuk, A. Comi, C. Weiß, and V. Svatko. 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.

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

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

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

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

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

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

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

[27] 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.

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

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

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

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

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

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

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

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

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

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

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

[39] W. Kohnen, and C. Weiß. Orthogonality and Hecke operators. Proceedings - Mathematical Sciences,119(3):283–286, 2009.

Outreach

1] C. Weiß. Mathematische Perspektiven zu historischen und zukünftigen Entwicklung der Künstlichen Intelli genz in: M. Chrosotwski, J. Heger (eds.) Religiöse Bildung angesichts Künstlicher Intelligenz. Grundlegungen und Konkretionen, Verlag Herder, 41–54, 2026.

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

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

[4] 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.

[5] 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.

Preprints

[1] K. Karai, and C.Weiß. Dimensions of Orbit Closures and Discrepancy for Dynamical p-adic Sequences. Preprint, 2026.

[2] C.Weiß. A Technical Note on the Calculation of the N-Point Correlation. Preprint, 2026.

[3] C.Weiß. Linear Bounds for Differentiable Limits ofWeak Pair Correlation Functions.  reprint, 2026.

[4] C.Weiß. Scrambled Halton Subsequences and Applications. Preprint, 2026.

[5] C.Weiß. A Deterministic Perturbation Analysis for Pair Correlation and Discrepancy. Preprint, 2025.

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.