Yimu Mao(毛一木)

Yimu Mao(毛一木)

Taken on June 27th, 2025

Publications

Journal Articles / Translation of mathematical literature

A Unified Variational Framework for Planar Elastica with General Distributed Loads

Published in arXiv, 2025

We present a simple variational framework for planar elastica that incorporates distributed energies directly at the level of the energy functional. This approach reproduces the classical heavy elastica and naturally extends to magnetic body torques, yielding compact governing equations with clearly separated load contributions.

Recommended citation: T.G. Sano, M. Pezzulla, P.M. Reis. (2022). ".A Kirchhoff-like theory for hard magnetic rods under geometrically nonlinear deformation in three di- mensions "
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Topological Classification of Cubic Surfaces in Three-Dimensional Real Projective Space based on Julia Implementations: 5 Case Studies (German)

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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Analysis of Algebraic Varieties Using Galois Theory (German)

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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