PostDoctoral Research Fellowship

博士后研究奖学金

• 批准号: 1703856
• 负责人: Thomas Polstra
• 金额: $ 15万
• 依托单位: Polstra Thomas
• 依托单位国家: 美国
• 项目类别: Fellowship Award
• 财政年份: 2017
• 资助国家: 美国
• 起止时间: 2017-09-01 至 2021-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1703856&HistoricalAwards=false
• 关键词: PostDoctoral; Research; Fellowship

This award is made as part of the FY 2017 Mathematical Sciences Postdoctoral Research Fellowships Program. Each of the fellowships supports a research and training project at a host institution in the mathematical sciences, including applications to other disciplines, under the mentorship of a sponsoring scientist. The title of the project for this fellowship to Thomas Polstra is "Measuring and Relating Singularities in Prime Characteristic Commutative Algebra and Algebraic Geometry." The host institution for the fellowship is the University of Utah, and the sponsoring scientist is Karl Schwede.

该奖项是2017财年数学科学博士后研究奖学金计划的一部分。每项研究金都在一名赞助科学家的指导下，在主办机构支持一个数学科学研究和培训项目，包括应用于其他学科。托马斯·波尔斯特拉的这一奖学金项目的标题是“素数特征交换代数和代数几何中奇点的测量和关联”。该奖学金的主办机构是犹他大学，赞助科学家是卡尔·施韦德。

项目成果

CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE

HILBERT-KUNZ 多重性和 F 签名的连续性

• DOI: 10.1017/nmj.2018.43
• 发表时间: 2020
• 期刊: Nagoya Mathematical Journal
• 影响因子: 0.8
• 作者: POLSTRA, THOMAS;SMIRNOV, ILYA
• 通讯作者: SMIRNOV, ILYA

Equimultiplicity Theory of Strongly F-Regular Rings

强F正则环的等重性理论

• DOI: 10.1307/mmj/1600913073
• 发表时间: 2021
• 期刊: Michigan Mathematical Journal
• 影响因子: 0.9
• 作者: Polstra, Thomas;Smirnov, Ilya
• 通讯作者: Smirnov, Ilya

Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals

• DOI: 10.1016/j.jalgebra.2019.03.015
• 发表时间: 2018-03
• 期刊: Journal of Algebra
• 影响因子: 0.9
• 作者: Thomas Polstra;Pham Hung Quy

Covers of rational double points in mixed characteristic

混合特征中有理双点的覆盖

• DOI: 10.5427/jsing.2021.23h
• 发表时间: 2021
• 期刊: Journal of Singularities
• 影响因子: 0.4
• 作者: Carvajal-Rojas, Javier;Ma, Linquan;Polstra, Thomas;Schwede, Karl;Tucker, Kevin
• 通讯作者: Tucker, Kevin