Derived Azumaya Algebras on Compact Derived Smooth Manifolds
Y.Mao, C.Tropp. (2026). "Derived Azumaya Algebras on Compact Derived Smooth Manifolds"
CV
Education
- Junior high school: NanJing 29th Middle School Junior High School, 2019-2022
- Learn German, 2022-2023
- High School: Stiftung Louisenlund, 2023-2027
Work experience
- Spring 2023: Math teaching assistant
- NanJing
- Duties includes: Providing Math help and Math instruction
- Supervisor: Nobody
- Summer 2025: Research Intern – Real Algebraic Geometry
- Institute of Geometry, Faculty of Mathematics, TU Dresden (Dresden University of Technology)
- Duties includes: A project about real algebraic geometry
- Supervisor: Prof. Mario Kummer (mario.kummer@tu-dresden.de)
Journal Articles / Preprints / Project Reports
A Unified Variational Integral-Reduction Framework for Planar Elastica under Magnetic and Gravitational Loading
Y.Mao, C.Tropp. (2026). "A Unified Variational Integral-Reduction Framework for Planar Elastica under Magnetic and Gravitational Loading"
Topological Classification of Cubic Surfaces in Three-Dimensional Real Projective Space based on Julia Implementations: 5 Case Studies (German)
Yimu Mao. (2025). ".Topologische Klassifikation kubischer Flächen im dreidimensionalen reellen projektiven Raum anhand von Julia-Implementierungen: 5 Fallbeispiele "
Projects
- Summer 2025 - Topological Classification of Real del Pezzo surfaces of degree 3 and 4 in \(\mathbb{RP}^3\) and \(\mathbb{RP}^4\) via Counting Real Lines Using Julia
- Project Page: Topological Classification of Cubic Surfaces in Three-Dimensional Real Projective Space based on Julia Implementations: 5 Case Studies (German)
- Code and Github repository: Julia Code
Conferences and Presentations
- Positive Geometry Beyond Physics, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, 10.2026
- Participant
- Interactions between operator algebras, K-theory and homotopy theory, Münster university, Münster, Germany, 9.2026
- Poster Presentation: “The Picard Homotopy Type of a Derived Smooth Manifold”
- Conference on “New Perspectives on Stable Homotopy and Beyond”, Max Planck Institute for Mathematics, Bonn, Germany, 9.2026
- Stratifying Kiel: Stratified Spaces from Higher Category Theory to Applied Topology, Kiel University, Germany, 9.2026
- Lightning talk and Poster Presentation: “A Picard–Brauer Object for Derived Smooth Manifolds”
- International Conference on Geometry, Integrability and Quantization, Varna, Bulgaria, 6.2026
Service and leadership
- No, but may be in the future.
Skills and interests
- Mathematics / Mathematik / Mатематика
- Programming & Computational Tools
- Julia, C++, MATLAB, Mathematica, LaTeX
- language
- English (fluent; used in academic writing and international competitions)
- German (fluent; schooling and academic communication)
- Russian (informal and reading)
- Chinese (native)
- Play the violin / Geige spielen / скрипки