Mikkel Abrahamsen

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Primary field of research

My primary field of research is computational geometry, which is devoted to the study of algorithms that can be stated in terms of geometry. Most of my work so far has been about problems where the input is points or polygons in the plane.

See also Google scholar profile:

https://scholar.google.com/citations?user=AYGv9T8AAAAJ&hl=en

Selected papers

• Framework for ∃ℝ-Completeness of Two-Dimensional Packing Problems

Mikkel Abrahamsen, Tillmann Miltzow, Nadja Seiferth, FOCS 2020.

• The art gallery problem is ∃ℝ-complete

Abrahamsen, Mikkel, Adamaszek, A. & Miltzow, T., 2018, STOC 2018 Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing. Association for Computing Machinery, s. 65-73

• Common Tangents of Two Disjoint Polygons in Linear Time and Constant Workspace

Abrahamsen, Mikkel & Walczak, B., 2019, I : ACM Transactions on Algorithms. 15, 1, s. 1-21 12.

• Minimum perimeter-sum partitions in the plane

Abrahamsen, Mikkel, de Berg, M., Buchin, K., Mehr, M. & Mehrabi, A. D., 2020, In : Discrete & Computational Geometry. 63, s. 483–505

• Geometric Multicut: Shortest Fences for Separating Groups of Objects in the Plane

Abrahamsen, Mikkel, Giannopoulos, P., Löffler, M. & Rote, G., 2020, In : Discrete & Computational Geometry. 64, p. 575–607

Video recording of talk

The art gallery problem is ∃ℝ-complete