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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Published in Lübeck Jugend Forscht, 2025
This project explores the combination of algebraic geometry and Galois theory to determine the number of connected components of polynomial solution sets. Although the research is still in the development stage, several related methods have been introduced.
Recommended citation: Yimu Mao. (2025). ".Analyse algebraischer Varietäten mit Hilfe von Galois-Theorie "
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Published in Christian-Albrechts-Universität zu Kiel Jugend Forscht, 2024
Originally inspired by ITYM competition Problem 9 (2023) source, this work was later developed into a research project submitted to the Jugend forscht competition in Germany.
Recommended citation: Yimu Mao. (2023). "Dreieck auf dem algebraische Kurven."
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Published in Stiftung Louisenlund, 2023
This is a translation of mathematical book which written by Markus Brotmann, I translated some from german to chinese
Recommended citation: Yimu Mao. (2023). "Translation of Algebraic Geometry written by Markus Brotmann(3)
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Published in Stiftung Louisenlund, 2023
This is a translation of mathematical book which written by Markus Brotmann, I translated some from german to chinese
Recommended citation: Yimu Mao. (2023). "Translation of Algebraic Geometry written by Markus Brotmann(3)
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Published in Stiftung Louisenlund, 2023
Translation of Algebraic Geometry written by Markus Brotmann(2)
Recommended citation: Yimu Mao. (2023). "Translation of Algebraic Geometry written by Markus Brotmann(2)."
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Published in Stiftung Louisenlund, 2023
This is a translation of mathematical book which written by Markus Brotmann, I translated some from german to chinese
Recommended citation: Yimu Mao. (2023). "Translation of Algebraic Geometry written by Markus Brotmann(1)
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Published in Stiftung Louisenlund, 2023
Translation file for the very beginning part of the book “Sammlung Göschen, Höhere Algebra”
Recommended citation: Yimu Mao, (2023). "Translation of Sammlung Göschen, Höhere Algebra (1)
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