About Me
I am a mathematician at the Unit of Geometry and Surveying at the Department of Basic Sciences in Engineering Sciences of the University of Innsbruck. I work on the geometry of motion varieties and their ambient spaces as well as on overconstrained mechanisms and their factorization under the supervision of Hans-Peter Schröcker.
Publications
- D. Huczala, A. Mair, T. Postulka. Direct kinematics, inverse kinematics, and motion planning of 1-DoF rational linkages. Mechanism and Machine Theory 213, 106074, 2025. [arXiv] [Corrigendum]
Talks
- Snapping four bar mechanisms: Discrete assembly configurations in closed-loop linkages (with D. A. Thimm, M. Pfurner). MMT Symposium, Porto, June 2026. [Abstract]
- Closed-loop linkage factorization: Denavit-Hartenberg parameters and configuration spaces. 12. IFToMM D-A-CH Konferenz, Magdeburg, February 2026. [Abstract]
- Advances in the algebraic factorization of overconstrained closed-loop linkages (with Z. Li, H.-P. Schröcker, J. Siegele). CGTA 2025, Sopron, June 2025. [Abstract]
Outreach
- Co-organizer of the Innsbruck venue of Náboj, an international team mathematics competition for secondary school students, since 2024. [Tiroler Tageszeitung]
- Es bewegt sich doch – Der Bennett-Mechanismus (with D. A. Thimm, M. Pfurner). Aktionstag der Jungen Uni, Innsbruck, September 2026.
- Der Bennett-Mechanismus – wir bauen einen besonderen Roboter! (with M. Pfurner). Lange Nacht der Forschung, Innsbruck, April 2026.
- Es bewegt sich doch (with D. A. Thimm, M. Pfurner). Tag der MIP, Innsbruck, February 2026.
- Bewegliche Mechanismen entdecken, entwerfen und selbst bauen (workshop with D. Huczala). Kinder-Sommer-Uni, Innsbruck, July 2025.
- Roboterarme bauen – und mit nach Hause nehmen (with D. Huczala). Kids Innovation Day, Innsbruck, March 2025.
Contact
- Email: and.mair (at) uibk.ac.at
- Phone: +43 512 507 61105