Furstenberg Sets Estimates with Application to Restriction Theory
Institute for Advanced Study
- Furstenberg setsFurstenberg 集
- Restriction限制性理论
Talks & Media
演讲与媒体
Selected lectures, interviews, films, and profiles — organized by research topic, format, and editorial perspective.
精选学术演讲、访谈、影像与人物报道，并按研究主题、媒介形式和叙述视角分类。
- 13
- talks
- 学术演讲
- 6
- media
- 媒体材料
Featured lecture pair
重点系列讲座
Kakeya sets in R³ / Restriction theory and projection theorems
三维 Kakeya 集 / 限制性理论与投影定理
Two lectures on tube geometry, Kakeya, restriction theory, and projection theorems.
两场关于细管几何、Kakeya、限制性理论与投影定理的讲座。
- KakeyaKakeya
- Restriction限制性理论
- Distances & projections距离与投影
Selected talks
精选演讲
Research topics shown for every record
每条记录均标注研究主题
Restriction theory and projection theorems
University of Wisconsin–Madison Colloquium
- Restriction限制性理论
- Distances & projections距离与投影
Restriction theory and projection theorems
CRM Nirenberg Lecture II · McGill
- Restriction限制性理论
- Distances & projections距离与投影
Kakeya sets in R³
CRM Nirenberg Lecture I · McGill
- KakeyaKakeya
Union of tubes and Kakeya sets I
Peking University Workshop on Harmonic Analysis
- KakeyaKakeya
Restriction theory after Kakeya
CRM Modern Trends in Fourier Analysis
- Restriction限制性理论
- KakeyaKakeya
Incidence estimates for tubes
NYU Graduate Student/Postdoc Seminar
- KakeyaKakeya
- Incidence geometry关联几何
Furstenberg sets estimate in the plane
NYU Analysis Seminar
- Furstenberg setsFurstenberg 集
Restriction estimates using decoupling and tube incidences
NYU Geometry Seminar
- Restriction限制性理论
- KakeyaKakeya
Restricted projections to planes in R³
HAPPY · University of Pennsylvania
- Distances & projections距离与投影
Projection theorems and applications
University of Michigan Mathematics Colloquium
- Distances & projections距离与投影
Falconer's distance set problem
Joint Mathematics Meetings
- Distances & projections距离与投影
A restriction estimate in R³
Caltech/UCLA Joint Analysis Seminar
- Restriction限制性理论
Interviews, films & profiles
访谈、影像与人物报道
Format and content focus shown separately
媒介形式与内容焦点分别标注
01Direct interviews & films本人采访与出镜影像5
02Third-party profile第三方人物报道1
↗Life & research journey
人生与研究历程
Fields Medal profile
菲尔兹奖人物短片
Simons Foundation / IMUChildhood, an architecture interlude in Paris, mentorship, and the path back to mathematical research.
童年、巴黎建筑经历、导师影响，以及重新回到数学研究的过程。
Watch观看↗
↗Kakeya & restriction
Kakeya 与限制性理论
Solving Kakeya and rethinking restriction
解决 Kakeya 与重新思考限制性问题
CRMThe origin of her interest in restriction, what changes after Kakeya, and how to judge long-term research.
限制性问题兴趣的来源、Kakeya 之后的新问题，以及如何判断长期研究的进展。
Watch / read观看 / 阅读↗
↗Appointment & research
任职与研究
Hong Wang, permanent professor at IHES
王虹：IHES 数学终身教授
IHESResearch interests, joining IHES, and the institute's academic environment.
研究兴趣、加入 IHES，以及研究所的学术环境。
Watch观看↗Interview采访
Research & collaboration
研究与合作
The Fields Medals 2026 — Hong Wang
2026 菲尔兹奖采访：王虹
Plus MathsKakeya, collaboration, and Larry Guth's influence on her mathematical work.
Kakeya、合作研究，以及 Larry Guth 对其数学工作的影响。
Interview中文访谈
Research life & choices
研究生活与选择
Follow your interests and instincts
跟随自己的兴趣和感觉
BICMRChoosing and simplifying problems, collaboration, uncertainty, rest, and working with students.
研究选题与问题简化、合作、迷茫与休息，以及与学生相处。
Reported profile人物报道
Career & Kakeya
学术历程与 Kakeya
A long route through uncertainty
穿过不确定性的漫长路径
Quanta MagazineA third-party account of her career path, the long route to Kakeya, and the 2026 Fields Medal.
第三方报道，梳理其学术历程、通往 Kakeya 证明的长期路径与 2026 年菲尔兹奖。