Publications

The list below contains journal articles and proceedings papers. Additional publication information is available on my University of Bergen profile and through ORCID.

Journal articles and proceedings papers

Aga, Olav N. L., Morten Brun, Kazeem A. Dauda, Ramon Diaz-Uriarte, Konstantinos Giannakis, and Iain G. Johnston. 2024. “HyperTraPS-CT: Inference and Prediction for Accumulation Pathways with Flexible Data and Model Structures.” PLOS Computational Biology 20 (9): e1012393. https://doi.org/10.1371/journal.pcbi.1012393.
Bader, Lucius, Stein-Erik Gullaksen, Nello Blaser, et al. 2019. “Candidate Markers for Stratification and Classification in Rheumatoid Arthritis.” Frontiers in Immunology 10: 1488. https://doi.org/10.3389/fimmu.2019.01488.
Bihiye, Zacharia Mtemba, Morten Brun, Marco Mpimbo, and Elizabeth Mrema. 2025. “On Interleaving Distance as a Complete Metric for Bifiltrations in \(\mathbb{R}^n\).” Research in Mathematics 12 (1): 2573572.
Blaser, Nello, and Morten Brun. 2019a. “Divisive Cover.” Mathematics in Computer Science 13 (1): 21–29.
Blaser, Nello, and Morten Brun. 2019b. “Sparse Nerves in Practice.” International Cross-Domain Conference for Machine Learning and Knowledge Extraction, 272–84.
Blaser, Nello, and Morten Brun. 2022. “Relative Persistent Homology.” Discrete & Computational Geometry 68 (4): 949–63.
Blaser, Nello, Morten Brun, Odin Hoff Gardaa, and Lars M. Salbu. 2025. “Core Bifiltration.” Journal of Applied and Computational Topology 9 (4): 30. https://doi.org/10.1007/s41468-025-00226-8.
Blaser, Nello, Morten Brun, Odin Hoff Gardaa, and Lars M. Salbu. 2026. “Monoidal Rips: Stable Multiparameter Filtrations of Directed Networks.” Journal of Applied and Computational Topology 10 (2): 6. https://doi.org/10.1007/s41468-026-00237-z.
Blaser, Nello, Morten Brun, Lars M. Salbu, and Erlend Raa Vågset. 2024. “The Parameterized Complexity of Finding Minimum Bounded Chains.” Computational Geometry 122: 102102. https://doi.org/10.1016/j.comgeo.2024.102102.
Bökstedt, Marcel, Morten Brun, and Johan L. Dupont. 1998. “Homology of \(O(n)\) and \(O^1(1,n)\) Made Discrete: An Application of Edgewise Subdivision.” Journal of Pure and Applied Algebra 123 (1–3): 131–52.
Brun, Morten. 2000. “Topological Hochschild Homology of \(\mathbb{Z}/p^n\).” Journal of Pure and Applied Algebra 148 (1): 29–76.
Brun, Morten. 2001. “Filtered Topological Cyclic Homology and Relative k-Theory of Nilpotent Ideals.” Algebraic & Geometric Topology 1 (1): 201–30.
Brun, Morten. 2005. “Witt Vectors and Tambara Functors.” Advances in Mathematics 193 (2): 233–56.
Brun, Morten. 2007. “Witt Vectors and Equivariant Ring Spectra Applied to Cobordism.” Proceedings of the London Mathematical Society 94 (2): 351–85. https://doi.org/10.1112/plms/pdl010.
Brun, Morten, and Nello Blaser. 2019. “Sparse Dowker Nerves.” Journal of Applied and Computational Topology 3 (1): 1–28. https://doi.org/10.1007/s41468-019-00028-9.
Brun, Morten, Winfried Bruns, and Tim Römer. 2007. “Cohomology of Partially Ordered Sets and Local Cohomology of Section Rings.” Advances in Mathematics 208 (1): 210–35. https://doi.org/10.1016/j.aim.2006.02.005.
Brun, Morten, Gunnar Carlsson, and Bjørn Ian Dundas. 2010. “Covering Homology.” Advances in Mathematics 225 (6): 3166–213.
Brun, Morten, Zbigniew Fiedorowicz, and Rainer M. Vogt. 2007. “On the Multiplicative Structure of Topological Hochschild Homology.” Algebraic & Geometric Topology 7 (4): 1633–50. https://doi.org/10.2140/agt.2007.7.1633.
Brun, Morten, and Gunnar Fløystad. 2011. “The Auslander–Reiten Translate on Monomial Rings.” Advances in Mathematics 226 (1): 952–91. https://doi.org/10.1016/j.aim.2010.07.006.
Brun, Morten, Belén Garcı́a Pascual, and Lars M. Salbu. 2023. “Determining Homology of an Unknown Space from a Sample.” European Journal of Mathematics 9 (4): 90.
Brun, Morten, Christian Hirsch, Péter Juhász, and Moritz Otto. 2026. “Random Connection Hypergraphs.” Stochastic Models 42 (3): 345–87.
Brun, Morten, and Tim Römer. 2004. “Betti Numbers of \(\mathbb{Z}^n\)-Graded Modules.” Communications in Algebra 32 (12): 4589–99. https://doi.org/10.1081/AGB-200036803.
Brun, Morten, and Tim Römer. 2005. “Subdivisions of Toric Complexes.” Journal of Algebraic Combinatorics 21 (4): 423–48. https://doi.org/10.1007/s10801-005-3020-2.
Brun, Morten, and Tim Römer. 2008. “On Algebras Associated to Partially Ordered Sets.” Mathematica Scandinavica 103 (2): 169–85. https://doi.org/10.7146/math.scand.a-15076.
Brun, Morten, and Lars M. Salbu. 2023. “The Rectangle Complex of a Relation.” Mediterranean Journal of Mathematics 20 (1): 7. https://doi.org/10.1007/s00009-022-02213-0.
Eide, Marta, Anders Goksøyr, Fekadu Yadetie, et al. 2023. “Integrative Omics-Analysis of Lipid Metabolism Regulation by Peroxisome Proliferator-Activated Receptor a and b Agonists in Male Atlantic Cod.” Frontiers in Physiology 14: 1129089. https://doi.org/10.3389/fphys.2023.1129089.
Galmiche, Natacha, Helwig Hauser, Thomas Spengler, Clemens Spensberger, Morten Brun, and Nello Blaser. 2021. “Revealing Multimodality in Ensemble Weather Prediction.” MLVis@EuroVis, 7–11.
Leandry, Leonce, Morten Brun, Eunice W. Mureithi, and Egbert Mujuni. 2026. “HyperISM: A Data-Driven Model for Parameter Estimation of Hypercubic Markov Models.” Research in Mathematics 13 (1): 2688622.
Leandry, Leonce, Egbert Mujuni, Eunice W. Mureithi, Morten Brun, and Mary Mayige. 2025. “Investigating the Evolutionary Dynamics of Second-Line Mycobacterium tuberculosis Drug Resistance in Tanzania Using Hypercubic Modelling and the Baum–Welch Algorithm.” Scientific African 28: e02627.
Mayala, Simeon, Ida Herdlevær, Jonas Bull Haugsøen, Shamundeeswari Anandan, Nello Blaser, et al. 2022. “GUBS: Graph-Based Unsupervised Brain Segmentation in MRI Images.” Journal of Imaging 8 (10): 262. https://doi.org/10.3390/jimaging8100262.
Mayala, Simeon, Ida Herdlevær, Jonas Bull Haugsøen, Shamundeeswari Anandan, Sonia Gavasso, and Morten Brun. 2022. “Brain Tumor Segmentation Based on Minimum Spanning Tree.” Frontiers in Signal Processing 2: 816186.
Nilsen, Geir K., Antonella Z. Munthe-Kaas, Hans J. Skaug, and Morten Brun. 2022. “Epistemic Uncertainty Quantification in Deep Learning Classification by the Delta Method.” Neural Networks 145: 164–76.
Reber, Rolf, Morten Brun, and Karoline Mitterndorfer. 2008. “The Use of Heuristics in Intuitive Mathematical Judgment.” Psychonomic Bulletin & Review 15 (6): 1174–78.
Yadetie, Fekadu, Xiaokang Zhang, Eileen Marie Hanna, et al. 2018. “RNA-Seq Analysis of Transcriptome Responses in Atlantic Cod (Gadus morhua) Precision-Cut Liver Slices Exposed to Benzo[a]pyrene and 17\(\alpha\)-Ethynylestradiol.” Aquatic Toxicology 201: 174–86.

Selected preprints

  • M. Brun and D. Grinberg. The Dowker theorem via discrete Morse theory. Preprint (2024), arXiv:2407.15454.
  • M. Brun, M. G. Fosse and L. M. Salbu. Dowker Duality for Relations of Categories. Preprint (2023), arXiv:2303.16032.
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