Hedong HOU

I am a doctoral student at Laboratoire de Mathématiques d’Orsay of Université Paris-Saclay. I am in the group of “Analyse harmonique” and my advisor is Prof. Pascal AUSCHER.

My research interest is on harmonic analysis and its interactions with PDEs, microlocal analysis and its applications in dynamical systems.

I have “OCD” (obsessive coffee disorder), and I work on mathematics in the spare time of drinking coffee.

My Chinese name is 侯贺冬(HOU Hedong), and I am also happy to be called “Ben” as my nickname.

‼️ I am ONLY topologically homotopic to a pallas’s cat! (conjectured by Yang TIAN and proved by myself)

Contacts

Professional email address: hedong (dot) hou (at) universite-paris-saclay (dot) fr.

Professional address:
Bureau 2A19, Bâtiment 307, Rue Michel Magat
Faculté des Sciences d’Orsay, Université Paris-Saclay
F-91405 Orsay Cedex
France

Education

• October 2022 – current: Ph.D. student, Institut de Mathématique d’Orsay at Université Paris-Saclay, France.
• September 2021 – September 2022: Master mathématiques et applications with highest Mention “Très Bien”, UFR de Mathématiques at Université Paris Cité, France.
• Feburary 2019 – June 2021: Bachelor of Science with Second-Class Mention, Department of Mathematical Sciences at Tsinghua University, China.
• September 2018 – December 2018: Exchange undergraduate, Department of Mathematics at University of California, Los Angeles, United States.
• August 2016 – September 2018: Undergraduate, Department of Electrical Engineering at Tsinghua University, China.

Employment

1. September 2024 – January 2025: École polytechnique. Teaching Assistant for FMA_2F002_EP “Topology and Multivariable Calculus”. 56h.
2. February – June 2024: École polytechnique. Teaching assistant for MAA105 “Integral and Differential Calculus”. 56h.
3. February – June 2021: Tsinghua University. Teaching assistant for Calculus(A)-2. 60h.
4. September 2017 – June 2021: Tsinghua University. Volunteer in Q&A Room and Teaching-Assistant Program. 815.25h.

Selected awards and honours

1. Outstanding Bachelor Thesis. Tsinghua Unviersity. 2021.
2. National Scholarship. Ministry of Education of the P.R.C.. 2017.

Membership

• Fellowship of Tsinghua Xuetang Program at Tsinghua Unviersity.
• Fellowship of Spark Innovative Talent Cultivation Program at Tsinghua Unviersity.

Publications

1. On representation of solutions to the heat equation. (Joint with Pascal Auscher) Comptes Rendus Mathématiques Vol.362(2024), pp.761-768. DOI: 10.5802/crmath.593. arXiv: 2310.19330.
2. Some results on incorrigible sets of binary linear codes. (Joint with Haiyang Liu and Lianrong Ma) IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences E104.A (2). Feburary 2021. DOI: 10.1587/transfun.2020EAL2021.

Preprints

1. On regularity of solutions to the Navier–Stokes equation with initial data in $\mathrm{BMO}^{-1}$. arXiv: 2410.16468.
2. On well-posedness for parabolic Cauchy problems of Lions type with rough initial data. Joint with Pascal Auscher. arXiv: 2406.15775.
3. On well-posedness and maximal regularity for parabolic Cauchy problems on weighted tent spaces. Joint with Pascal Auscher. arXiv: 2311.04844.

Talks

1. Mathematics of fluids in motion: Recent results and trends. CIRM. 12 November, 2024.
2. 1ère Rencontres d’Anaïs (Réseau Thématique ANAlyse et InteractionS). 04 November 2024.
3. Tsinghua Reunion Workshop. Tsinghua University. 22 July 2024.
4. Recent advances in Harmonic Analysis. Satellite conference of 9th European Congress of Mathematics. 11 July 2024.
5. Summer School on Harmonic Analysis in Harbin. Harbin Institute of Technology. 04 July 2024.
6. Séminaire ANEDP. Institut de Mathématique d’Orsay. 20 June 2024.
7. Analysis and Probability Seminar. University of Gothenburg and Chalmers University of Technology. 21 May 2024.
8. Research Seminar of Workgroup Functional Analysis. Karlsruher Institut für Technologie. 07 May 2024.
9. Séminaire d’analyse du Laboratoire de Mathématiques Jean Leray. Université de Nantes. 19 Feb. 2024.
10. Oberwolfach Seminar 2343a: Recent Topics on the Navier-Stokes Equations. 24 Oct. 2023.
11. Groupe de Travail des Thésard.e.s du LJLL. Sorbonne Université. 10 Oct. 2023.

Thesis

1. Applications of elliptic curves over finite fields in coding. June 2021. Bachelor Thesis with mention “Outstanding”. Supervised by Prof. Lianrong MA. PDF. In Chinese.
   Defense jury: Prof. Hongyan TANG (chair), Prof. Yuxiang LI, and Prof. Lianrong MA (supervisor).

Support

I will update scanned copies of some important papers with only paper version available before. All of the following papers are scanned by myself without special mention. By downloading these papers, it is regarded as default that you permit that it must be restriced to be utilised for academic research, without any commerical or other purpose.

1. Compensated compactness and Hardy spaces. R. Coifman, P.-L. Lions, Y. Meyer, and S. Semmes. Journal de Mathématiques pures et appliquées, 72 (1993). p. 247 à 286. PDF. Supported by Bibliothèque d’Institut Henri Poincaré.

2. Some results on complex interpolation of $T^p_q$ spaces. A. Bernal. Isarel Mathematical Conference Proceedings. Interpolation spaces and Related Topics. Vol.5. Bar-Ilan University, Ramat-Gan, Israel: IMCP, 1992, pp. 1-10. PDF. Supported by Bibliothèque d’Institut Henri Poincaré.

Links

Here are some homepages of my dearest friends.

Jinyuan LIU: He said that Jinyuan is not working hard enough, please click the LINK to push him.

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Last updated: 15 November 2024.