Staff profile

Personal webpage
I have been a lecturer in Computer Science at Durham University since January 2006. Prior to this I held posts as a post-doctoral fellow at the School of Computing, Leeds University and at the Department of Mathematics and Statistics at the University of Canterbury, New Zealand. My D.Phil. and undergraduate degree (MMath) were conducted at the Department of Mathematics, Oxford University.

• Discrete mathematics, theoretical computer science and applications in phylogenetics.

• ACiD: Algorithms and Complexity

• 2015: Erskine Fellowship at University of Canterbury: From January to April 2015 I held an Erskine Fellowship at the University of Canterbury, Christchurch, New Zealand. ;During this time I worked chiefly with Prof. Charles Semple on combinatorial problems in phylogenetics.
• 2010: 'Top cited article' award: I was awarded a “Top Cited Article 2005-2010” award from the journal Discrete Applied Mathematics, awarded by Elsevier in September 2010. Our article "Computing the minimum number of hybridization events for a consistent evolutionary history" is the 3rd most cited article published in the period 2005-2010, from a total of over 1000 (approx 270 per year), having already obtained over 65 citations listed on Google scholar.

Chapter in book

• Bordewich, M. & Kang, R. (2011). Rapid Mixing of Subset Glauber Dynamics on Graphs of Bounded Tree-Width. In Automata, Languages and Programming. Aceto, Luca, Henzinger, Monika & Sgall, J. Piscataway, NJ: Springer. 6755: 533-544.

Conference Paper

• Prew, W., Breckon, T.P., Bordewich, M.J.R. & Beierholm, U. (2022), Evaluating Gaussian Grasp Maps for Generative Grasping Models, Proc. Int. Joint Conf. Neural Networks. Padova, Italy, IEEE.
• Adey, P.A., Akcay, S., Bordewich, M.J.R. & Breckon, T.P. (2021), Autoencoders Without Reconstruction for Textural Anomaly Detection, 2021 International Joint Conference on Neural Networks (IJCNN). Shenzhen, China, IEEE.
• Prew, W., Breckon, T.P., Bordewich, M.J.R. & Beierholm, U. (2021), Improving Robotic Grasping on Monocular Images Via Multi-Task Learning and Positional Loss, 25th International Conference on Pattern Recognition (ICPR 2020). Milan, Italy, IEEE.
• Bordewich, Magnus (2010), On the approximation complexity hierarchy, in Jansen, Klaus & Solis-Oba, Roberto eds, Lecture Notes in Computer Science 6534: 8th International Workshop on International Workshop on Approximation and Online Algorithms, WAOA 2010. Liverpool, Springer, Berlin.
• Bordewich, Magnus & Mihaescu, Radu (2010), Accuracy Guarantees for Phylogeny Reconstruction Algorithms Based on Balanced Minimum Evolution, in Moulton, Vincent & Singh, Mona eds, Lecture Notes in Computer Science 6293: 10th Workshop on Algorithms in Bioinformatics (WABI 2010). Liverpool, Springer, Berlin, 250-261.
• Bordewich, M., Dyer, M. & Karpinski, M. (2005), Path coupling using stopping times, in Liśkiewicz, Maciej & Reischuk, Rüdiger eds, Lecture notes in computer science 3623: 15th International Symposium Fundamentals of Computation Theory FCT 2005. Lübeck, Springer, Berlin, 19-31.

Conference Proceeding

• Bordewich, M., Dyer, M. & Karpinski, M. (2006). Stopping times, metrics and approximate counting. 33rd International Colloquium of Automata, Languages and Programming (ICALP 2006), Venice, Italy, Springer.

Doctoral Thesis

• Bordewich, M. (2003). The Complexity of Counting and Randomised Approximation. Department of Mathematics. New College, Oxford University. PhD.

Journal Article

• Bordewich, Magnus, Semple, Charles & Wicke, Kristina (2022). On the Complexity of Optimising Variants of Phylogenetic Diversity on Phylogenetic Networks. Theoretical Computer Science 917: 66-80.
• Bordewich, Magnus, Linz, Simone, Owen, Megan, St. John, Katherine, Semple, Charles & Wicke, Kristina (2022). On the Maximum Agreement Subtree Conjecture for Balanced Trees. SIAM Journal on Discrete Mathematics 36(1): 336-354.
• Bordewich, Magnus & Semple, Charles (2018). A universal tree-based network with the minimum number of reticulations. Discrete Applied Mathematics 250: 357-362.
• Bordewich, Magnus, Huber, Katharina T., Moulton, Vincent & Semple, Charles (2018). Recovering normal networks from shortest inter-taxa distance information. Journal of Mathematical Biology 77(3): 571-594.
• Bordewich, Magnus, Deutschmann, Ina Maria, Fischer, Mareike, Kasbohm, Elisa, Semple, Charles & Steel, Mike (2018). On the information content of discrete phylogenetic characters. Journal of Mathematical Biology 77(3): 527-544.
• Bordewich, Magnus, Semple, Charles & Tokac, Nihan (2018). Constructing Tree-Child Networks from Distance Matrices. Algorithmica 80(8): 2240-2259.
• Bordewich, Magnus, Linz, Simone & Semple, Charles (2017). Lost in space? Generalising subtree prune and regraft to spaces of phylogenetic networks. Journal of Theoretical Biology 423: 1-12.
• Bordewich, Magnus, Scornavacca, Celine, Tokac, Nihan & Weller, Mathias (2017). On the Fixed Parameter Tractability of Agreement-based Phylogenetic Distances. Journal of Mathematical Biology 74(1): 239-257.
• Bordewich, Magnus & Tokac, Nihan (2016). An algorithm for reconstructing ultrametric tree-child networks from inter-taxa distances. Discrete Applied Mathematics 213: 47-59.
• Bordewich, Magnus & Semple, Charles (2016). Reticulation-Visible Networks. Advances in Applied Mathematics 78: 114-141.
• Bordewich, M. & Semple, C. (2016). Determining phylogenetic networks from inter-taxa distances. Journal of Mathematical Biology 73(2): 283-303.
• Bordewich, Magnus, Greenhill, Catherine & Patel, Viresh (2016). Mixing of the Glauber Dynamics for the Ferromagnetic Potts Model. Random Structures & Algorithms 48(1): 21-52.
• Bordewich, M. & Semple, C. (2015). Defining a Phylogenetic Tree with the Minimum Number of r-State Characters. SIAM Journal on Discrete Mathematics 29(2): 835-853.
• Bordewich, M. & Kang, R. (2014). Subset Glauber Dynamics on Graphs, Hypergraphs and Matroids of Bounded Tree-Width. The Electronic Journal of Combinatorics 21(4): 19.
• Bordewich, M. & Mihaescu, R. (2013). Accuracy Guarantees for Phylogeny Reconstruction Algorithms Based on Balanced Minimum Evolution. IEEE/ACM Transactions on Computational Biology and Bioinformatics 10(3): 576-583.
• Bordewich, M. & Semple, C. (2012). Budgeted Nature Reserve Selection with diversity feature loss and arbitrary split systems. Journal of Mathematical Biology 64(1): 69-85.
• White, Thomas A., Bordewich, Magnus & Searle, Jeremy B. (2010). A Network Approach to Study Karyotypic Evolution: The Chromosomal Races of the Common Shrew (Sorex araneus) and House Mouse (Mus musculus) as Model Systems. Systematic Biology 59(3): 262-276.
• Bordewich, M., Semple, C. & Spillner, A. (2009). Optimizing phylogenetic diversity across two trees. Applied Mathematics Letters 22(5): 638-641.
• Bordewich, M., Gascuel, O., Huber, K. T. & Moulton, V. (2009). Consistency of Topological Moves Based on the Balanced Minimum Evolution Principle of Phylogenetic Inference. Transactions on Computational Biology and Bioinformatics 6(1): 110-117.
• Bordewich, M., Rodrigo, A. G. & Semple, C. (2008). Selecting Taxa to Save or Sequence: Desirable Criteria and a Greedy Solution. Systematic Biology 57(6): 825-834.
• Bordewich, M., Karpinski, M. & Dyer, M. (2008). Path Coupling Using Stopping Times and Counting Independent Sets and Colourings in Hypergraphs. Random Structures and Algorithms 32(3): 375-399.
• Bordewich, M. & Semple, C. (2008). Nature Reserve Selection Problem: A Tight Approximation Algorithm. Transactions on Computational Biology and Bioinformatics 5(2): 275-280.
• Bordewich, M., McCartin, C. & Semple, C. (2008). A 3-approximation algorithm for the subtree distance between phylogenies. Journal of Discrete Algorithms 6(3): 458-471.
• Bordewich, M. & Semple, C. (2007). Computing the hybridisation number of two phylogenetic trees is fixed parameter tractable. Transactions on Computational Biology and Bioinformatics 4(3): 458-466.
• Bordewich, M. & Semple, C. (2007). Computing the minimum number of hybridisation events for a consistent evolutionary history. Discrete Applied Mathematics 155(8): 914-928.
• Bordewich, M. & Dyer, M. (2007). Path Coupling without contraction. Journal of Discrete Algorithms 5(2): 280-292.
• Bordewich, M., Evans, G. & Semple, C. (2007). Extending the limits of supertree methods. Annals of Combinatorics
• Bordewich, M., Linz, S., St. John, K. & Semple, C. (2007). A Reduction Algorithm for Computing the Hybridization Number of Two Trees. Evolutionary Bioinformatics 3: 86-98.
• Bordewich, M., Semple, C. & Steel, M. A. (2006). Identifying X-Trees with Few Characters. The Electronic Journal of Combinatorics 13(1): R83.
• Bordewich, M., Huber, K. & Semple, C. (2005). Identifying phylogenetic trees. Discrete Mathematics 300(1-3): 30-43.
• Bordewich, M. & Semple, C. (2005). On the computational complexity of the rooted subtree prune and regraft distance. Annals of combinatorics 8(4): 409-423.
• Bordewich, M., Freedman, M., Lovasz, L. & Welsh, D. (2005). Approximate counting and quantum computation. Combinatorics, probability and computing 14(5-6): 737-754.
• Bordewich, M., Semple, C. & Talbot, J. (2004). Counting Consistent Phylogenetic Trees is #P-complete. Advances in Applied Mathematics 33(2): 416-430.
• Bordewich, M. (2004). Approximating the number of acyclic orientations for a class of sparse graphs. Combinatorics, probability and computing 13(1): 1-16.