PhD Birational Geometry of Calabi Yau Varieties
拉夫堡大学
QS排名:0
国际学生入学条件
Students should have, or expect to achieve, at least a 2:1 or equivalent degree classification in mathematics.
IELTS: Overall score of 6.5 with not less than 6.0 in each test.
TOEFL iBT: Overall score of 92, with not less than 22 in each test
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雅思考试总分
6.5
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- 雅思总分:6.5
- 托福网考总分:92
- 托福笔试总分:160
- 其他语言考试:Pearson Test of Academic English (PTE): 62 overall with no less than 55 in all sub tests.
课程简介
This project is in algebraic geometry, a thriving research area at the heart of modern mathematics. The successful applicant will investigate the geometry of Calabi--Yau varieties geometric objects of central importance, both in algebraic geometry itself and in related areas such as differential geometry and high-enrgy physics. Theoretical understanding of Calabi--Yau varieties remains very incomplete, but in recent years exciting progress has been made in generating extensive databases of examples of Calabi--Yau varieties in dimensions 3 and 4. These databases will provide a rich testing ground in which to develop our understanding. A major focus of the project will be the Morrison--Kawamata conjecture, an important open problem in the field that aims to describe the geometry of algebraic varieties in a uniform way. The student will develop effective methods to verify the conjecture for large families of Calabi--Yau varieties from the databases described above. Successful progress will require the student to use a combination of explicit computational methods together with powerful tools from birational geometry. The project has scope for expansion in several directions, for example the development of a more theoretical approach to the conjecture for Calabi--Yaus.
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奖学金
实习机会
在校学习
跨境学习
校园授课-线上开始
在线/远程学习
学校排名
世界排名
401
数据源:泰晤士高等教育世界大学排名
关于拉夫堡大学
拉夫堡大学创办于1909年,最初是一所小型技术学院,现已成为英国乃至全球一流的院校之一,每年为数千名学生提供优质的教育,让学生获得出色的求学体验。该校是一所成功的热门院校,荣获由学生投票选出的''2020年WhatUni年度最佳大学''。拉夫堡大学主校区位于英格兰中部地区的拉夫堡小镇。这里位置优越,交通便利,拥有学生愉快地度过求学生活所需要的一切。从拉夫堡去往莱斯特市、诺丁汉和德比这些较大的城市也非常方便。拉夫堡大学为其一流的教学质量而感到自豪。该校招募了一支跨国学术团队,确保由经验丰富的专业教学人员为学生提供多样化的教育。拉夫堡学生活动中心设施一流,设有广受欢迎的夜总会和轻松的学习空间,还提供涉及学生身心健康以及学习生活各个方面的大量支持服务。那里还有许多日常使用的便利设施,其中包括商店和餐馆。拉夫堡大学在体育方面世界闻名,连续6被评为全球体育相关学科最优秀的大学(2022年QS世界大学学科排名)。该校拥有全英设施最齐全的体育中心,国际运动员也到该校使用其运动设施。拉夫堡大学可能因体育学科而为人所知,与此同时它在一系列学术科目上也有卓越的设施。拉夫堡大学热情欢迎国际学生前往就读。该校兼容并包,提供大量支持设施帮助国际学生在学习期间适应那里的生活,不断成长和发展。