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Alexander Steiger

Assistant Research Professor of Computer Science
Computer Science

Current Appointments & Affiliations


Assistant Research Professor of Computer Science · 2023 - Present Computer Science, Trinity College of Arts & Sciences

Recent Publications


Optimal Motion Planning for Two Square Robots in a Rectilinear Environment

Conference Leibniz International Proceedings in Informatics Lipics · June 20, 2025 Let W ⊂ R2 be a rectilinear polygonal environment (that is, a rectilinear polygon potentially with holes) with a total of n vertices, and let A,B be two robots, each modeled as an axis-aligned unit square, that can move rectilinearly inside W. The goal is ... Full text Cite

Decomposing the Complement of the Union of Cubes and Boxes in Three Dimensions

Conference Discrete and Computational Geometry · September 1, 2024 Let C be a set of n axis-aligned cubes of arbitrary sizes in R3 in general position. Let U:=U(C) be their union, and let κ be the number of vertices on ∂U; κ can vary between O(1) and Θ(n2). We present a partition of cl(R3\ ... Full text Cite

Near-Optimal Min-Sum Motion Planning for Two Square Robots in a Polygonal Environment

Conference Proceedings of the Annual ACM SIAM Symposium on Discrete Algorithms · January 1, 2024 Let W ⊂ R2 be a planar polygonal environment (i.e., a polygon potentially with holes) with a total of n vertices, and let A, B be two robots, each modeled as an axis-aligned unit square, that can translate inside W. Given source and target place ... Full text Cite
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Education


Duke University · 2023 Ph.D.