Dr Sabrina Kombrink

Dr Sabrina Kombrink

School of Mathematics
Assistant Professor of Mathematics
Senior Tutor (J-BJI)

Contact details

School of Mathematics
Watson Building
University of Birmingham
B15 2TT

Sabrina is an Assistant Professor of Mathematics and a member of the Topology and Dynamics and Analysis research groups. She is interested in geometrically characterising highly irregular objects as well as in the question which geometric features one can hear when listening to the sound of a fractal drum. Her research lies in the interim of analysis, geometry and stochastics.


  • Dr. rer. nat. (PhD) in Mathematics, University of Bremen, Germany
  • Dipl. Math. (MSc) in Mathematics and Business, Georg-August-University, Göttingen, Germany


Sabrina studied at Georg-August-University Göttingen (Germany) and the University of Warwick (UK). She received her PhD (Dr.rer.nat.) from the University of Bremen (Germany) for which she was awarded the Bremer Studienpreis.

Sabrina held post-doc positions at the University of Bremen (Germany), the University of Lübeck (Germany) and Institut Mittag-Leffler (Sweden). Before joining the University of Birmingham she was a temporary Professor of Mathematics at Georg-August-University Göttingen (Germany).


Semester 1

LH Integer Programming and Combinatorial Optimisation (Jinan)


Recent publications


Kombrink, S & Winter, S 2020, 'Lattice self-similar sets on the real line are not Minkowski measurable', Ergodic Theory and Dynamical Systems, vol. 40, no. 1, pp. 221-232. https://doi.org/10.1017/etds.2018.26

Kombrink, S & Samuel, T 2019, 'Fractal geometry and dynamics', London Mathematical Society, Newsletter, vol. 481, pp. 24-29. https://doi.org/10.1112/NLMS

Faehnrich, A, Klein, S, Serge, A, Nyhoegen, C, Kombrink, S, Moeller, S, Keller, K, Westermann, J & Kalies, K 2018, 'CD154 costimulation shifts the local T cell receptor repertoire not only during thymic selection but also during peripheral T-dependent humoral immune responses', Frontiers in immunology, vol. 9, 1019. https://doi.org/10.3389/fimmu.2018.01019

Kombrink, S 2018, 'Renewal theorems for processes with dependent interarrival times', Advances in Applied Probability, vol. 50, no. 4, pp. 1193-1216. https://doi.org/10.1017/apr.2018.56

Kesseboehmer, M & Kombrink, S 2017, 'A complex Ruelle-Perron-Frobenius theorem for infinite Markov shifts with applications to renewal theory', Discrete and Continuous Dynamical Systems - Series S, vol. 10, no. 2, pp. 335-352. https://doi.org/10.3934/dcdss.2017016

Kombrink, S, Pearse, E & Winter, S 2016, 'Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable', Mathematische Zeitschrift, vol. 283, no. 3-4, pp. 1049-1070. https://doi.org/10.1007/s00209-016-1633-x

Chapter (peer-reviewed)

Kombrink, S 2021, Renewal Theorems and Their Application in Fractal Geometry. in U Freiberg, B Hambly, M Hinz & S Winter (eds), Fractal Geometry and Stochastics VI. 1 edn, vol. 76, Progress in Probability, vol. 76, Birkhauser Verlag Basel, pp. 71-98. https://doi.org/10.1007/978-3-030-59649-1_4

Conference contribution

Thomas-Seale, L, Hawthorn, B, Kombrink, S, Samuel, T, Bryson, JR, Thomson, H & Montenegro-Johnson, T 2024, Topological analysis to enhance the understanding of transdisciplinary engineering. in 31st International Conference on Transdisciplinary Engineering 2024: Engineering for social change. 31st International Conference on Transdisciplinary Engineering 2024, London, United Kingdom, 9/07/24.


Kesseböhmer, M, Kombrink, S, Pesin, Y, Samuel, T & Schmeling, J 2021, 'Preface: Thermodynamic formalism: applications to geometry, number theory and stochastics', Stochastics and Dynamics, vol. 21, no. 3, 2102001. https://doi.org/10.1142/S0219493721020019

Other contribution

Kesseböhmer, M & Kombrink, S 2017, Minkowski measurability of infinite conformal graph directed systems and application to apollonian packings..


Ferdania, DF, Dhillon, K, Kombrink, S, Samuel, T & Spill, F 2024, 'Exploring the morphology of mitochondria in breast cancer cells through fractal analysis in fluorescence imaging', MitOX 2024, Oxford, United Kingdom, 12/04/24 - 12/04/24.


Van Dijk, S, Kalle, C, Kombrink, S & Samuel, T 2024 'Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions' arXiv. https://doi.org/10.48550/arXiv.2404.10749

Kombrink, S & Schmidt, L 2023 'Eigenvalue counting functions and parallel volumes for examples of fractal sprays generated by the Koch snowflake' arXiv. https://doi.org/10.48550/arXiv.2312.12331

Kombrink, S & Schmidt, L 2023 'On bounds for the remainder term of counting functions of the Neumann Laplacian on domains with fractal boundary' arXiv. https://doi.org/10.48550/arXiv.2312.12308

Special issue

Kesseböhmer, M, Kombrink, S, Pesin, Y, Samuel, T & Schmeling, J (eds) 2021, 'Special Issue in Honor of the 75th Birthday of Prof. Manfred Denker', Stochastics and Dynamics, vol. 21, no. 3. <https://www.worldscientific.com/toc/sd/21/03>

View all publications in research portal