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Publications - Martin Berger
Publications (sorted by relevance)
- Classifying Linear Matrix Inequalities via Abstract Operator Systems (2023); with T. Drescher and T. Netzer; submitted. (arXiv)
- Abstract Operator Systems over the Cone of Positive Semidefinite Matrices (2021); with T. Netzer; to appear in Journal of Operator Theory. (arXiv)
- Cluster-Based Autoencoders for Volumetric Point Clouds (2022); with S. Antholzer and T. Hell; submitted. (arXiv)
- Effect of Tranexamic Acid on Coagulation and Fibrin Clot Properties in Children Undergoing Craniofacial Surgery (2020); with C. Fenger-Eriksen, T. Hell, et al.; Thrombosis and Haemostasis. (DOI) (Web Link)
- Hybrid Immediacy: Designing with Artificial Neural Networks Through Physical Concept Modelling (2022); with M.Bank, et al.; Design Modelling Symposium Berlin. (Web Link)
Talks
- Algebraic Geometry in Austria 2020. Title: Foundations of Free Algebraic Statistics.
- Invited colloquium speaker at the University of Tromsø in the series Machine Learning and AI. Title: Analyzing Fibrin Networks using Topological Data Analysis.
- Short talk at Advances in Applied Algebraic Geometry at the University of Bristol.
Posters
- Poster at the conference Arctic Applied Algebra at the University of Tromsø - The Arctic University of Norway. Title: Analyzing Fibrin Networks using Topological Data Analysis.
Conference and Summer School Attendances
- MEGA 2021 - Effective Methods in Algebraic Geometry at the University of Tromsø - The Arctic University of Norway (online).
- Arctic Applied Algebra at the University of Tromsø - The Arctic University of Norway.
- ESGI - 149 at the University of Innsbruck.
- Advances in Applied Algebraic Geometry at the University of Bristol.
- Summer School in Algebraic Statistics at the University of Tromsø - The Arctic University of Norway.
- Sums of Squares - Real Algebraic Geometry and its Application
- Reaction 2017 at the University of Trento.
- WDI² - Approximation Theory and Applications at the University of Innsbruck.
Public Outreach
- Matura - Was dann? at the business college Wörgl.
- Erstsemestrigentutorium Mathematik-Informatik-Physik at the University of Innsbruck.
Other Documents
- An Application of Topological Data Analysis to Fibrin Networks, Master's Thesis, University of Innsbruck, December 2017.
- Dimensions-Splitting kombiniert mit Tschebyscheff-Tensorapproximation, Bachelor's Thesis, University of Innsbruck, August 2015.