李伟 女 博导 中国科学院数学与系统科学研究院
电子邮件: liwei@mmrc.iss.ac.cn
通信地址: 北京市海淀区中关村东路55号思源楼
邮政编码: 100190
研究领域
构造性代数几何、微分代数几何、差分代数、符号计算
招生信息
招生专业
招生方向
教育背景及工作经历
2019.4~现在, 中国科学院数学与系统科学研究院, 副研究员
2014.8-2015.11 美国 UC Berkeley, 访问学者
2012.7~2019.3, 中国科学院数学与系统科学研究院, 助理研究员
2007-09--2012-06 中国科学院数学与系统科学研究院 理学博士
2003-09--2007-06 山东大学 理学学士
奖励与人才计划
- 国家自然科学基金委优秀青年基金,2021
- 吴文俊计算机数学青年学者奖, 2021
- 中国科学院数学院2020年度重要科研进展, 2021
- 入选中国科学院青年创新促进会会员, 2020
- “陈景润未来之星”计划, 2018
- 中国科学院数学与系统科学研究院突出成果奖, 2016
- 关肇直青年研究奖, 2015
- 中国科学院优秀博士学位论文, 2013
- 中国科学院院长优秀奖, 2012
- 国际计算机协会SIGSAM ISSAC Distinguished Paper Award, 2011
发表论文
[1] Xiao-Shan Gao, Wei Li, Chun-Ming Yuan, Intersection Theory in Differential Algebraic Geometry: Generic Intersections and the Differential Chow Form, Trans. Amer. Math. Soc., 365, 4575–4632, 2013.
[2] Wei Li, Xiao-Shan Gao, Chun-Ming Yuan, Sparse Differential Resultant, In Proc. ISSAC 2011, San Jose, USA, 225–232, 2011 (ACM SIGSAM ISSAC Distinguished Paper Award).
[3] Wei Li and Xiao-Shan Gao, Differential Chow Form for Projective Differential Variety, J. Algebra, 370, 344–360, 2012.
[4] Wei Li, Chun-Ming Yuan, Xiao-Shan Gao, Sparse Differential Resultant for Laurent Differential Polynomials., Found. Comput. Math.,Volume 15, Issue 2, 451–517, 2015.
[5] Wei Li, Chun-Ming Yuan, Xiao-Shan Gao, Sparse Difference Resultant, In Proc. ISSAC 2013, Boston, MA, USA, 275–282, 2013.
[6] Wei Li, Differential Chow form and sparse differential resultant, Sci. Sin. Math., 44: 211–220, 2014. (in Chinese, written on invitation of Sci. Sin. Math, a brief introduction of my thesis which won the Outstanding Doctoral Dissertation Award of Chinese Academy of Sciences.)
[7] Wei Li, Chun-Ming Yuan, Xiao-Shan Gao, Sparse Difference Resultant, J. Symb. Comput., 68, 169–203, 2015.
[8] Wei Li,Yinghong Li, Difference Chow Form, J. Algebra, 428, 67–90, 2015.
[9] Wei Li,Yinghong Li, The Computation of Differential Chow Form, Advances in Applied Mathematics, 72, 77–112, 2016.
[10] James Freitag, Wei Li, Tom Scanlon, Differential Chow Varieties Exist, Journal of the London Mathematical Society, 95(2), 128–156, 2017.)
[11] James Freitag, Wei Li, Embeddings of Differential Fields and Effective Bounds, Proc. of MACIS 2015, LNCS, 2015.
[12] Wei Li, Chun-Ming Yuan, Elimination Theory in Differential and Difference Algebra, J. Syst. Sci. Complex., 32: 287-316, 2019.
[13] Wei Li, Partial Differential Chow Forms and a Type of Partial Differential Chow varieties, Communications in Algebra, 48(8), 3342-3371, 2020.
[14] J. Freitag, O. Leon-Sanchez and W. Li. Effective definability of Kolchin polynomials. Proc. Amer. Math. Soc., 148(4), 1455–1466, 2020.
[15] W. Li, A. Ovchinnikov, G. Pogudin, and T. Scanlon. Elimination of unknowns for systems of algebraic differential-difference equations. Trans. Amer. Math. Soc., 374(1), 303-326, 2021.
[16] L. Fu and W. Li. Unirational differential curves and differential rational parametrizations. J. Symb. Comput. 104, 539–562, 2021.
[17] W. Li, A. Ovchinnikov, G. Pogudin, and T. Scanlon. Algorithms yield upper bounds in differential algebra, Canadian Journal of Mathematics, 75 (1) : 29-51, 2023.
[18] W. Li and C.R. Wei, On the Partial Differential L\"{u}roth's Theorem, to appear in Journal of Algebra, 2023.
科研项目
(1) 国家自然科学基金课题 (国家优秀青年基金项目), 计算微分差分代数, 主持, 2022-01--2024-12
(2)国家自然科学基金课题 (面上项目), 微分、差分周形式与稀疏结式的理论与高效算法, 主持, 2020-01--2023-12
(3) 中国科学院青年创新促进会基金, 主持, 2020-01--2023-12
(4) 国家自然科学基金课题 (青年基金项目),微分差分代数的相交理论与高效消元算法, 主持, 2014-01--2016-12