MATH · 7 official subcategories7 个官方子类别
Mathematics
数学
The study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols. The deductive study of numbers, geometry, and various abstract constructs, or structures.
用数字和符号研究量与集合的度量、性质及相互关系，以演绎方式研究数、几何以及各种抽象构造或结构。
198
finalist projects入围项目
2.9%
of all finalists占全部入围
40.8%
grand-award rate大奖率
11.5%
first-place or above一等奖及以上
Window 2022-2026. 237 students. 15% of projects are teams.统计窗口 2022-2026。237 人次。团队项目占 15%。
Official Subcategories官方子类别
What belongs in this category这个类别收什么
- ALB代数AlgebraThe study of algebraic operations and/or relations and the structures which arise from them. An example is given by (systems of) equations which involve polynomial functions of one or more variables.研究代数运算与代数关系，以及由此产生的代数结构。例如涉及一元或多元多项式函数的方程（组）。
- ANL分析AnalysisThe study of infinitesimal processes in mathematics, typically involving the concept of a limit. This begins with differential and integral calculus, for functions of one or several variables, and includes differential equations.研究数学中的无穷小过程，核心是极限概念。从一元和多元函数的微积分开始，也包括微分方程。
- CGG组合数学、图论与博弈论Combinatorics, Graph Theory, and Game TheoryThe study of combinatorial structures in mathematics, such as finite sets, graphs, and games, often with a view toward classification and/or enumeration.研究数学中的组合结构，如有限集合、图和博弈，通常着眼于分类与计数。
- GEO几何与拓扑Geometry and TopologyThe study of the shape, size, and other properties of figures and spaces. Includes such subjects as Euclidean geometry, non-Euclidean geometries (spherical, hyperbolic, Riemannian, Lorentzian), and knot theory (classification of knots in 3-space).研究图形与空间的形状、大小及其他性质，涵盖欧氏几何、非欧几何（球面、双曲、黎曼、洛伦兹）以及纽结理论（三维空间中纽结的分类）。
- NUM数论Number TheoryThe study of the arithmetic properties of integers and related topics such as cryptography.研究整数的算术性质，以及密码学等相关课题。
- PRO概率与统计Probability and StatisticsMathematical study of random phenomena and the study of statistical tools used to analyze and interpret data.从数学角度研究随机现象，以及用于分析和解释数据的统计工具。
- OTH其他OtherStudies that cannot be assigned to one of the above subcategories. If the project involves multiple subcategories, the principal subcategory should be chosen instead of Other.无法归入上述任何子类别的研究。如果项目涉及多个子类别，应选择项目的主要子类别，而不是选择“其他”。
Judges are assigned by the subcategory you pick, so choose the primary one rather than "Other" where a project could sit in several. Source: Society for Science.评委是按你所选的子类别分配的，一个项目若能落入多个子类别，应选主要的那个，而不是「Other」。来源：Society for Science 官方。 Official page官方页面
Source discrepancy: Algebra does not appear anywhere in the 2026–2027 rules book, but the website still lists it. Most likely a printing omission; it is kept here.官方口径校勘：2026–2027 规则手册第 28 页的子类别表中未列出 Algebra（全书无此词），官网仍列出。疑为手册漏印。
The Numbers数据
Scale, trend and award rate规模、趋势与获奖率
Finalists per year逐年入围项目
Grand-award rate vs all tracks大奖率与全赛道对照
40.8%, Wilson 95% 33%–49%. Grey line: all-track 30.3%.40.8%，Wilson 95% 区间 33%–49%。灰线为全赛道 30.3%。
Grand-award tiers大奖层级分布
| Top award顶级大奖 | 1 |
| First一等 | 17 |
| Second二等 | 18 |
| Third三等 | 17 |
| Fourth四等 | 11 |
Special-award rate 43.3%; combined 59.9%.专项奖率 43.3%；合并口径 59.9%。
These tier counts exclude 2025, whose award text is missing from the official database. The award-winning projects listed below do include 2025, recovered from the grand-award press release, so the two will not add up.层级分布剔除了 2025 年——该年官方库缺奖项文本。下方的获奖作品清单则包含 2025 年（从大奖新闻稿补回），因此两处数字不会相等。
This track's grand-award rate is significantly above the all-track rate of 30.3% (Fisher exact p = 0.005).该赛道大奖率显著高于全赛道的 30.3%（Fisher 精确检验 p = 0.005）。
Who Competes Here谁在这个赛道
Countries and schools国家与学校
Top countries and regions入围最多的国家与地区
| Country / region国家/地区 | Projects项目 | Grand rate大奖率 | Won/eligible获奖/评奖 |
|---|---|---|---|
| 美国 | 109 | 50.0% | 43/86 |
| 波多黎各 | 15 | 0.0% | 0/12 |
| 中国台湾 | 8 | 66.7% | 4/6 |
| 印度 | 7 | 33.3% | 2/6 |
| 保加利亚 | 7 | 66.7% | 4/6 |
| 土耳其 | 7 | 40.0% | 2/5 |
| 韩国 | 7 | 50.0% | 3/6 |
| 中国大陆 | 5 | 20.0% | 1/5 |
| 澳大利亚 | 3 | 33.3% | 1/3 |
| 哈萨克斯坦 | 3 | 50.0% | 1/2 |
| 约旦 | 3 | 0.0% | 0/2 |
| 瑞典 | 3 | 0.0% | 0/2 |
China in this track中国在该赛道
| Region地区 | Projects项目 | Grand rate大奖率 | Won/eligible获奖/评奖 |
|---|---|---|---|
| 大陆 | 5 | 20.0% | 1/5 |
| 香港 | 1 | 0.0% | 0/1 |
| 台湾 | 8 | 66.7% | 4/6 |
Schools with the most finalists入围最多的学校
| School学校 | Projects项目 |
|---|---|
| iPrep Academy North | 5 |
| CROEM HS | 5 |
| Dr. Pedro Albizu Campus | 5 |
| Model High School of Mathematics "Akademik Kiril Popov" | 5 |
| Centro Residencial de Oportunidades Educativas de Mayaguez | 4 |
| Korea Science Academy of KAIST | 3 |
| College Park High School | 3 |
| Bronx High School of Science | 3 |
| Half Hollow Hills High School West | 3 |
| Redeemer Baptist School | 2 |
Rates on fewer than roughly 40 eligible projects carry wide intervals — read them as magnitude, not ranking.评奖口径项目数不足约 40 的比率，置信区间很宽，只能当量级看，不能用于排名。
Award-Winning Projects获奖作品
First place and above, plus recent seconds一等奖及以上，附近两届二等奖
Titles as recorded in the official abstract database. Student names are not shown.标题按官方摘要库原文。不显示学生姓名。
Top award顶级大奖1
- 2026保加利亚Solvability of Meromorphic Equations in Elementary FunctionsSofia High School of Mathematics · 1 special awards 项专项奖
First award一等奖18
- 2026美国Energy-Stable Numerical Method for Blood Flow in 3D Brain AneurysmsPrinceton International School of Math and Science
- 2026美国The Repelling Propellers Problem: Optimizing Energy Configurations in Orbital PatternsLos Altos High School · 1 special awards 项专项奖
- 2025美国The Prisoner's Dilemma: Strategy Dynamics Related to Memory and SelfishnessNew Rochelle High School
- 2024美国Symmetry, Fixed Points and Quantum Billiards: A Confluence of IdeasCarnegie Vanguard High School · 3 special awards 项专项奖
- 2024美国Injective Chromatic Index of Packet Radio Networks: Improved Upper BoundsMorgantown High School · 1 special awards 项专项奖
- 2024德国Integration of SequencesLeibniz-Gymnasium Berlin · 2 special awards 项专项奖
- 2024美国On an Approximation of Divisor Sum Functions With Bernoulli Polynomials and the Hardy Littlewood Function · 2 students 人 · 1 special awards 项专项奖
- 2024美国The Perforation of p-adics: Closing a Gap in Hensel's Lemma Through the Convergence InequalityNew Rochelle High School
- 2024美国The Classification and the Hilbert Polynomials of the Coloring of Quandles With Size 6Bronx High School of Science · 1 special awards 项专项奖
- 2023保加利亚Proof of the Complete Presence of a Modulo 4 Bias for the SemiprimesModel High School of Mathematics "Akademik Kiril Popov" · 1 special awards 项专项奖
- 2023美国The Easiest Hard Problem: A Heuristic Solution to the Two-Way Partitioning Problem Using Probabilistic AlgorithmsR. C. Clark High School · 2 special awards 项专项奖
- 2023美国Strict Inequalities for the n-Crossing NumberPrinceton High School · 2 special awards 项专项奖
- 2022印度On Ramanujan's Identity for Odd Zeta Values and Its GeneralizationAditya English Medium School
- 2022印度On Worker-Optimal Matchings in Many-to-Many Markets With IndifferencesGateway International School
- 2022美国Utilizing Convergence Tests and Complex Analysis To Redefine the Provability of the Partition FormulaDr. Michael M. Krop Senior High School
- 2022美国Random Forest To Predict Dengue Cases and OutbreaksCollege Park High School · 1 special awards 项专项奖
- 2022美国A Heuristic Solution to the Closest String Problem Using Wave Function Collapse TechniquesThe Bishop's School
- 2022美国Modifying the ABCs of Number TheoryAlbuquerque Academy · 1 special awards 项专项奖
Second award二等奖7 (2025–2026 only)（仅列 2025–2026）
- 2026韩国The Split Elevation Theorem and the H Tower for Virtual KnotsKorea Science Academy of KAIST · 3 students 人 · 1 special awards 项专项奖
- 2026美国Universal Matrices for Counting Fibo-Multinomial and C-Multinomial Coefficients With a Cryptographic ApplicationHalf Hollow Hills High School West · 1 special awards 项专项奖
- 2026美国Finding a Bijection Between the Kekulé Structures of Benzenoids and Weakly Increasing MatricesNorth Carolina School of Science and Mathematics · 1 special awards 项专项奖
- 2026美国A New Upper Estimate for the Fermat-Torricelli RatioFort Lee High School · 1 special awards 项专项奖
- 2026美国Detecting Causality in (2+1)-Dimensional Globally Hyperbolic Spacetimes Using Conjugation Quandles Over Dihedral GroupsEmmaus High School
- 2025美国Quantum-Sound Factorization: On the Distribution and Structure of Irreducible SetsWestview High School
- 2025美国Solving Variable-Entangled Partial Differential Equations (PDEs) via Atomic Tensor Decomposition and Gated Expert Neural Networks: A Multi-Expansion Framework for Accurate and Adaptive PDE ApproximationParadise Valley High School · 2 students 人
See all 198 projects in this track as a content map →把这个赛道的 198 个项目看成一张内容地图 →
15 candidate topics for Mathematics →数学 的 15 条候选课题 →
All 22 tracks →返回全部 22 个赛道 →
Full data analysis →完整数据分析 →