2023- Ecole Polytechnique
Engeneering Program
- 20/20 in: Real analysis and introduction to variational methodes, etc.
- Office member of X-Chine.
Scientific Interests
Geometries (from different aspects, analytic or algebraic)
Theoretical Computer Science (algorithms on graphs; intersection with analysis, algebra or topology)
Education
2020-2023 University of Science and Technology of China
Bachelor Degree of Mathematics
- Student of School of Gifted Young: special entrance selection; member of China-France Mathematics Talents Class (CFMATH)
- Excellent students scholarship: 2020 Golden Award, 2022 Silver Award; CFMATH scholarship: 2021 Golden Award, 2022 Golden Award
- S.-T. Yau College Student Mathematics Contest: 2022 Winning Award of algebra, 2023 Winning Awards of algebra, analysis and geometry
- 20/20 or 4.3/4.3 in many courses including: Analysis I, Analysis III,Analysis IV, Algebra IV, Fundations of Analysis and Algebra, Algebraic Topology, Complex Analysis, Arithmetic and Algebra, Differential Geometry, Lie Group and Representation Theory, Commutative Algebra, Probability and Martingal, etc.
2018-2020 Affiliated High School of Fujian Normal University
Main subject: Mathematics
Experience
09.2024 - 11.2024 Modal Project (Research Initiation Project)
Subject: Tropical Geometry
- Geometries of polytopes, fans and metric graphs
- Analogies of many classical results in tropical geometry (Maximum Principle, Riemann-Roch, etc.)
- Group lecture project about tropical surfaces
- Supervisor: Omid AMINI
05.2023 - 08.2023 Research
Subject: TCS - approximation counting algorithms
- Application of the Montel theorem
- Generalization of Gutman's identity about independence polynomials
- New results from Lee-Yang circle theorem
- Joint work with Shuai SHAO
03.2023 - 06.2023 Teaching Assistant
Course: Mathematical Analysis B2, teached by Prof. Ping LI
- Correction of homework of students
- Organization of exercise courses, summerized notes here
- Contents: (number or function) series, multivariate calculus, Fourier analysis
12.2022 - 06.2023 Bachelor Graduation Program
Subject: Riemannian Geometry - Comparison Theorems
- Riemannian metric, Riemannian connection, sectional and Ricci curvature
- Variation formulas of length and energy, Bonnet's and Myers' theorems and generalizations
- Supervisor: Yong WEI
05.2022 - 05.2023 Innovation Program of Students
Subject: Riemann surfaces and holomorphic vector bundles
- Riemann surfaces, sheaf and cohomology, vector bundles and divisors
- Riemann-Roch theorem, Serre duality theorem, Abel-Jacobi theorem
- Grothendieck's classification theorem of holomorphic bundles over Riemann sphere, Riemann theta function and Torelli's theorem
- Supervisor: Hao YIN