Additive Combinatorics

加法组合学

• 批准号: 261014-2013
• 负责人: Solymosi, Jozsef
• 金额: $ 2.11万
• 依托单位: University of British Columbia
• 依托单位国家: 加拿大
• 项目类别: Discovery Grants Program - Individual
• 财政年份: 2016
• 资助国家: 加拿大
• 起止时间: 2016-01-01 至 2017-12-31
• 项目状态: 已结题
• 来源: https://www.nserc-crsng.gc.ca/ase-oro/Details-Detailles_eng.asp?id=594498
• 关键词: Additive; Combinatorics

My primary field of research is additive combinatorics. This relatively new area of mathematics is concerned about the additive or multiplicative structure of subsets of groups with small sumset or product set. The sumset of a set is formed by the pairwise sums of elements of the set. (In a product set we take the pairwise products.) Additive combinatorics has strong connections to number theory, harmonic analysis, ergodic theory, and theoretical computer science. I am interested in the geometry behind some of the problems in additive combinatorics.

我的主要研究领域是添加剂组合学。这个相对较新的数学领域关注的是具有较小的集合或产品集的组的添加或乘法结构。集合的集合由集合元素的成对总和形成。 （在产品集中，我们采用成对产品。）添加剂组合学与数字理论，谐波分析，千古理论和理论计算机科学有很强的联系。我对添加剂组合学中一些问题背后的几何形状感兴趣。