人员 > 科研教学系列 > 胡勇

胡勇

副教授  

0755-88015910 http://faculty.sustech.edu.cn/huy/

  • 简历
  • 科研
  • 教学
  • 发表论著

个人简介:

胡勇,2012年6月获得法国巴黎第十一大学博士学位;2012年9月至2013年8月在德国杜伊斯堡-埃森大学从事博士后研究。2013年9月起担任法国诺曼底卡昂大学 Maitre de conferences 教职 (法国的仅次于教授的终身教职)。2017年6月加入南方科技大学。主要科研方向为数论与算术几何。




工作经历:

2023.06-               副教授  南方科技大学 澳门太阳集团网站入口

2017.06-2023.05  助理教授, 南方科技大学 澳门太阳集团网站入口

2013.09-2017.06  副教授(Maitre de conference)  法国诺曼底卡昂(Caen Normandie)大学 澳门太阳集团网站入口

2012.09-2013.08  博士后  德国杜伊斯堡-埃森(Duisburg-Essen)大学 澳门太阳集团网站入口


教育背景:
2008.09-2012.06    巴黎第十一大学 澳门太阳集团网站入口 法国
2012年6月获博士学位
2007.09-2008.07   莱顿大学 澳门太阳集团网站入口 荷兰 (硕士二年级,欧盟Erasmus ALGANT联合培养项目)
2008年7月获硕士学位
2006.09-2007.07   巴黎第十一大学 澳门太阳集团网站入口 法国 (硕士一年级,欧盟Erasmus ALGANT联合培养项目)
2005.09-2006.07   清华大学 澳门太阳集团网站入口 北京 (直博一年级,因出国留学未获国内学位)
2001.09-2005.07   清华大学 澳门太阳集团网站入口 北京
2005年7月获理学学士学位


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. 


Grants



1. 主持 (PI):


Universal quadratic forms and Hilbert's seventeenth problem over semi-global fields

泛表示的二次型和半整体域上的 Hilbert 第十七问题


National Natural Science Foundation of China, Regular Program No. 12171223, 

510,000 RMB yuan,  Jan. 2022---Dec. 2025; 


国家自然科学基金,面上项目,项目批准号 12171223,

51 万元, 起止年月:2022年1月---2025年12月;



2. 主持 (PI):

Chow groups and unramified cohomology of quadrics in characteristic 2

特征为 2 时二次超曲面的周群和非分歧上同调



Guangdong Basic and Applied Basic Research Foundation, Program No. 2021A1515010396

RMB 100 000 yuan, Jan. 2021---Dec. 2023.


广东省基础与应用基础研究基金,面上项目,项目编号 2021A1515010396

10 万元, 起止年月:2021年1月---2023年12月.




3. 主持 (PI):


Division algebras and arithmetic of quadratic forms over semi-global fields

半整体域上的可除代数和二次型相关算术问题


National Natural Science Foundation of China, Youth Program No. 11801260, 

260,000 RMB yuan,  Jan. 2019---Dec. 2021; 


国家自然科学基金,青年科学基金项目,项目批准号 11801260,

26 万元, 起止年月:2019年1月---2021年12月;



4. 参与 (Participate):


Higher rank Kuznetsov formulas and applications

高秩 Kuznetsov 公式及其应用


National Natural Science Foundation of China, Program No. 11871261, 

550,000 RMB yuan,  Jan. 2019---Dec. 2022; 


国家自然科学基金,面上项目,项目批准号 11871267,

55 万元, 起止年月:2019年1月---2022年12月;



Preprints

1. (with Ahmed Laghribi and Peng Sun) Chow Groups of Quadrics in Characteristic Two, preprint available at arXiv:2101.03001

 

2. (with Zilong He) Pythagoras number of quartic orders containing $\sqrt{2}$, preprint available at arXiv:2204.10468



Publications

1. (with Sunghan BAE and Linsheng YIN) Artin L-functions and modular forms associated to quasi-cyclotomic fieldsActa Arithmetic, 143 (2010), 59--80


2. Weak approximation over function fields of curves over large or finite fieldsMath. 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 3Annals 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 Zilong He) On $n$-universal quadratic forms over dyadic local fields, to appear in Science China. Mathematics, preprint available at arXiv:2204.01997





Preprints

1. (with Ahmed Laghribi and Peng Sun) Chow Groups of Quadrics in Characteristic Two, preprint available at arXiv:2101.03001

 

2. (with Zilong He) Pythagoras number of quartic orders containing $\sqrt{2}$, preprint available at arXiv:2204.10468



Publications

1. (with Sunghan BAE and Linsheng YIN) Artin L-functions and modular forms associated to quasi-cyclotomic fieldsActa Arithmetic, 143 (2010), 59--80


2. Weak approximation over function fields of curves over large or finite fieldsMath. 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 3Annals 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 Zilong He) On $n$-universal quadratic forms over dyadic local fields, to appear in Science China. Mathematics, preprint available at arXiv:2204.01997