Published in arXiv, 2026
For a derived smooth manifold…
Recommended citation: Y.Mao, C.Tropp. (2026). "A Picard-Theoretic Brauer Object for Derived Smooth Manifold"
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Published in Journal of Geometry and Symmetry in Physics, 2026
We present a variational framework for analyzing planar elastic rods…
Recommended citation: Y.Mao, C.Tropp. (2026). "A Unified Variational Integral-Reduction Framework for Planar Elastica under Magnetic and Gravitational Loading"
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Published in TU Dresden, 2025
This article demonstrates how Julia and computer algebra tools classify topological types of real cubic surfaces in projective space. Developed during an internship at TU Dresden, it includes singularity computation, smoothness checks, and connected component counting for five examples. The code supports teaching and research.
Recommended citation: Yimu Mao. (2025). ".Topologische Klassifikation kubischer Flächen im dreidimensionalen reellen projektiven Raum anhand von Julia-Implementierungen: 5 Fallbeispiele "
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