My background is in mathematics, particularly in algebra, combinatorics, and logic. These areas all relate to the theoretical side of computer science, specifically the study of (effective) computability, and the representation and manipulation of data.
I am particularly interested in algorithms for counting (either exactly or approximately), sampling from, or manipulating combinatorial objects. I am an enthusiastic advocate of the use of computing resources in problem solving activities of all types. The study of combinatorial games is a particularly fruitful source of such problems, and also provides illustrations of the thesis that some hard computational problems can be rendered much simpler by a suitable change of perspective.
Albert, M., Gudmundsson, B., & Ulfarsson, H. (2022). Collatz meets Fibonacci. Mathematics Magazine, 95(2), 130-136. doi: 10.1080/0025570X.2022.2023307
Albert, M., Jelínek, V., & Opler, M. (2021). Two examples of Wilf-collapse. Discrete Mathematics & Theoretical Computer Science, 22(2), 9. doi: 10.46298/DMTCS.5986
Albert, M., & Tannock, M. (2021). Prolific permutations. Electronic Journal of Combinatorics, 28(2), 2.2. doi: 10.37236/9966
Albert, M., & Vatter, V. (2020). How many pop-stacks does it take to sort a permutation? arXiv. Retrieved from https://arxiv.org/abs/2012.05275
Albert, M., Holmgren, C., Johansson, T., & Skerman, F. (2020). Embedding small digraphs and permutations in binary trees and split trees. Algorithmica, 82(3), 589-615. doi: 10.1007/s00453-019-00667-5