双曲空间中切割与投影方案及其在声学超材料中的应用的博士生项目
PhD Studentship: Cut and project schemes in hyperbolic space with applications to acoustic metamaterials
原帖优先：申请材料、截止时间与资格以原帖和学校官方说明为准。
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- 研究内容
- 本项目旨在研究非周期有序、遍历理论和双曲几何中的数学结果，第一部分通过增强双曲空间中切割与投影方案的数学理论来解答理论问题，并提取衍射测度及相关薛定谔算子的谱信息；第二部分则基于第一部分的数学理论，着手构建和测试新型声学超材料。
- 申请条件
- 原文未说明具体申请条件。
- 待遇
- 奖学金提供学费资助以及每年21,805英镑的生活津贴（2026/7学年）。
- 申请方式
- 原文未说明具体的申请方式、地址或截止时间提交语言要求。
由 gemini-2.5-flash-lite 生成，博士岗判定置信度 95%。
岗位信息
- 截止
- （Europe/London） 剩 39 天
- 学科
- 物理与天文
- 合同类型
- 雇佣合同
- 原文薪资
- GBP 21,805 / 年（税前）
- 税后月薪（估）
- ¥13,700；房租后 ¥5,400
- 估算假设
- 单身、无子女、雇佣合同的粗略估算，以学校 offer 为准；扣除率 18%；汇率日期 2026-10-01
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- 内容更新
- 来源
- jobs.ac.uk（英国博士项目及学术招聘） · 最近核对 2026-10-29
- 详情核验
判定依据（原文摘录）
- 这是一个博士生培养机会
PhD Studentship: Cut and project schemes in hyperbolic space with applications to acoustic metamaterials
- 项目提供学费和生活津贴资助
The studentship will provide funding of fees and a stipend of £21,805 per annum for 2026/7.
原文
The discovery of quasicrystals – honoured with the 2011 Chemistry Nobel prize – has generated and continues to stimulate a tremendous amount of research in the international mathematics and physics communities. Questions concerning the characterisation of order versus disorder, diffraction and spectral theory are extensively studied. Mathematical methods involved range from number theory and geometry, to ergodic theory and harmonic analysis, over to noncommutative geometry. Central to understanding properties of physical quasicrystals and acoustic metamaterials (deliberately engineered composites with bespoke wave-control properties that arise from their structure) is the careful analysis of point sets arising from, for instance, cut and project schemes.
Here, loosely speaking, one takes a straight-line cutting through a square lattice, projects a given window of lattice points onto the straight-line, and considers the resulting point set. This method has recently been adapted by examining what happens when instead of a straight-line one takes a quadratic curve. Using this new construction, Davies, Chaplain, Starkey and Craster, built new acoustic metamaterials with large spectral gaps, yielding high performing sound insulators. This work raised the open question: Can developing new cut and project models, where the lattice is not square or the curve is non-linear, generate better performing graded metamaterials?
Drawing on the rich body of results in the mathematical study of aperiodic order, ergodic theory and hyperbolic geometry, in its first part, this project aims to answer the theoretical aspects of this question, by enhancing the mathematical theory of cut and project schemes in hyperbolic space, and by extracting spectral information of diffraction measures and associated Schrödinger operators arising from the resulting point sets. Building on this, the focus of the second part is to initiate investigations on building and testing new metamaterials based on the mathematical theory developed in the first part of this project.
Funded by: EPSRC Engineering and Physical Sciences Research Council £21,805. The studentship will provide funding of fees and a stipend of £21,805 per annum for 2026/7.