HU Yong
Associate Professor
- Brief Biography
- Research
- Teaching
- Published Works
Dr. Yong Hu obtained his PhD from Universite Paris-Sud XI in June 2012. He was a postdoctoral researcher at the Duisburg-Essen University in Germany from September 2012 to August 2013. Starting from September 2013, he had been a Maitre de conferences (Associate professor with tenure in French system) at the University of Caen-Normandie in France. Dr. Hu has come to work at Southern University of Science and Technology since June 2017. The main research interests of Dr. Hu are number theory and arithmetic geometry.
Work Experience：
2023.06－ Associate Professor, Southern University of Science and Technology, Shenzhen, China
2017.06－2023.05 Assistant Professor, Southern University of Science and Technology, Shenzhen, China
2013.09－2017.06 Associate Professor (Maitre de conference), Universite de Caen Normandie (France)
2012.09－2013.08 Post-doc Universitat Duisburg-Essen (Germany)
Education：
2008.09－2012.06 Universite Paris-Sud 11, France
PhD degree obtained in June 2012
2007.09－2008.07 Leiden Univeristy, The Netherlands (Second year of the Erasmus ALGANT Master program)
Master degree obtained in July 2008
2006.09－2007.07 Universite Paris-Sud 11, France (First of the Erasmus ALGANT Master program)
2005.09－2006.07 Tsinghua University, Beijing, China (First year of PhD)
2001.09－2005.07 Tsinghua University, Beijing, China
B.S degree obtained in July 2005
Research Interests
My research domain is arithmetic geometry. Research topics I'm particularly interested in include rational points of homogeneous varieties, arithmetic of quadratic forms and related structures, Galois cohomology of linear algebraic groups, etc.
Publications and preprints
See the Published Works page.
Grants
1. PI:
Universal quadratic forms and Hilbert's seventeenth problem over semi-global fields
National Natural Science Foundation of China, Regular Program No. 12171223,
510,000 RMB yuan, Jan. 2022---Dec. 2025;
2. PI:
Chow groups and unramfied cohomology of quadrics in characteristic 2
Guangdong Basic and Applied Basic Research Foundation, Program No. 2021A1515010396.
RMB 100 000 yuan, Jan. 2021---Dec. 2023.
3. PI：
Division algebras and arithmetic of quadratic forms over semi-global fields
National Natural Science Foundation of China, Youth Program No. 11801260,
260,000 RMB yuan, Jan. 2019---Dec. 2021;
4. Participate：
Higher rank Kuznetsov formulas and applications
National Natural Science Foundation of China, Program No. 11871261,
550,000 RMB yuan, Jan. 2019---Dec. 2022;
Preprints
1. (with Zheng Guo and Cai Heng Li) The exceptional Hall numbers, preprint available at arXiv:2408.03184
2. (with Jing Liu and Fei Xu) Integral Springer Theorem for Quadratic Lattices under Base Change of Odd Degree, preprint available at arXiv:2410.10311
Publications
1. (with Sunghan BAE and Linsheng YIN) Artin L-functions and modular forms associated to quasi-cyclotomic fields, Acta Arithmetica, 143 (2010), 59--80
2. Weak approximation over function fields of curves over large or finite fields, Math. Ann. 348 (2010) No. 2, 357–377.
3. Local-global principle for quadratic forms over fraction fields of two-dimensional henselian domains, Annales de l’Institut Fourier, 62 (2012) No. 6, 2131–2143.
4. Division algebras and quadratic forms over fraction fields of two-dimensional henselian domains, Algebra & Number Theory, 7 (2013) No. 8, 1919–1952.
5. Hasse principle for simply connected groups over function fields of surfaces, Journal of Ramanujan Mathematical Society, 29 (2014) No. 2, 155–199.
6. The Pythagoras number and the $u$-invariant of Laurent series fields in several variables, Journal of Algebra, 426 (2015), 243–258.
7. A cohomological Hasse principle over two-dimensional local rings, International Mathematics Research Notices, 14 (2017), 4369–4397.
8. Reduced norms of division algebras over complete discrete valuation fields of local-global type, Journal of Algebra and Its Applications, (2020) 2050217, 16pp
9. (with Zhengyao Wu) On the Rost divisibility of henselian discrete
valuation fields of cohomological dimension 3, Annals of K-theory, 5 (2020) No. 4, 677-707
10. (with Peng Sun) Unramified Cohomology of Quadrics in Characteristic Two, Manuscripta Mathematica, 171 (2023) No. 1-2, 263–294 .
11. (with Zilong He) On k-universal quadratic lattices over unramified dyadic local fields, Journal of Pure and Applied Algebra, 227 (2023) No.7, 107344, 32pp.
12. (with Zilong He and Fei Xu) On indefinite k-universal integral quadratic forms over number fields, Mathematische Zeitschrift, 304 (2023) , Article number 20, 26pp.
13. (with Ahmed Laghribi and Peng Sun) Chow Groups of Quadrics in Characteristic Two, Journal of Number Theory, 253 (2023), 188--214.
14. (with Zilong He) On $n$-universal quadratic forms over dyadic local fields, Science China. Mathematics 67 (2024) no.7, 1481--1506.
15. (with Jing Liu and Yisheng Tian) Strong approximation and Hasse principle for integral quadratic forms over affine curves, Acta Arithmetica, 216 (2024), No. 3, 277 -- 289
16. (with Zilong He) Pythagoras number of quartic orders containing $\sqrt{2}$, to appear in Chinese Annals of Mathematics. Series A. (数学年刊 A 辑), preprint available at arXiv:2204.10468
17. (with Yisheng Tian) Trivialité des groupes de Whitehead réduits avec applications à l'approximation faible et l'approximation forte, to appear in Comptes Rendus Mathématique. Académie des Sciences. Paris, preprint available at arXiv:2401.05017
