Wei Li  (李伟)

Research Interests: Constructive Differential Algebraic Geometry, Differential Algebra

Education

• 2007.9–2012.6,  Ph.D.,  Mathematics,  Academy of Mathematics and Systems Science, CAS

  Supervisor:  Xiao-Shan Gao

  Dissertation:  Differential Chow Form and Sparse Differential Resultant

• 2003.9–2007.6,  B.Sci.,  Mathematics,  Shandong University

Working Experience

• 2019.4–present,  Associate Professor,  Academy of Mathematics and Systems Science, CAS
• 2012.7–2019.3,    Assistant Professor,  Academy of Mathematics and Systems Science, CAS

Publications

• 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. [PDF]
• 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). [PDF]
• Wei Li and Xiao-Shan Gao, Differential Chow Form for Projective Differential Variety, Journal of Algebra, 370, 344–360, 2012. [PDF]
• 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. [PDF]
• Wei Li, Chun-Ming Yuan, Xiao-Shan Gao, Sparse Difference Resultant, In Proc. ISSAC 2013, Boston, MA, USA, 275–282, 2013. [PDF]
• 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.) [PDF]
• Wei Li, Chun-Ming Yuan, Xiao-Shan Gao, Sparse Difference Resultant, J. Symb. Comput., 68, 169–203, 2015. [PDF]
• Wei Li,Yinghong Li, Difference Chow Form, J. Algebra, 428, 67–90, 2015. [PDF]
• Wei Li,Yinghong Li, The Computation of Differential Chow Form, Advances in Applied Mathematics, 72, 77–112, 2016. [PDF]
• James Freitag, Wei Li, Thomas Scanlon, Differential Chow Varieties Exist, Journal of the London Mathematical Society, 95(2), 128–156, 2017.) [PDF]
• James Freitag, Wei Li, Embeddings of Differential Fields and Effective Bounds, Proc. of MACIS 2015, LNCS, 2015.
• Wei Li, Partial Differential Chow Forms and a Type of Partial Differential Chow varieties, Communications in Algebra, 48(8), 3342-3371, 2020. [PDF]
• James Freitag, Omar Leon Sanchez, Wei Li, Effective Definability of Kolchin Polynomials, Proc. Amer. Math. Soc., 148(4), 1455-1466, 2020. [PDF]
• Wei Li, Chun-Ming Yuan, Elimination Theory in Differential and Difference Algebra, J. Syst. Sci. Complex., 32: 287-316, 2019. [PDF]
• Wei Li, Alexey Ovchinnikov, Gleb Pogudin, and Thomas Scanlon, Elimination of unknowns for systems of algebraic differential-difference equations, Trans. Amer. Math. Soc., 374(1), 303-326, 2021. DOI: 10.1090/tran/8219. [PDF]
• Lei Fu and Wei Li, Differential Unirational Curves and Differential Rational Parametric Representations, J. Symb. Comput., 104, 539-562, 2021. Doi:https://doi.org/10.1016/j.jsc.2020.08.008. [PDF]
• Wei Li, Alexey Ovchinnikov, Gleb Pogudin, and Thomas Scanlon, Algorithms yield upper bounds in differential algebra, Canadian Journal of Mathematics. 75 (1), 29–51, 2023. [PDF]
• Wei Li and Chen-Rui Wei, On the Partial Differential Lüroth’s Theorem, Journal of Algebra, 633, 833-856, 2023.

Teaching

• Linear Algebra (2016-2017)

• Differential Algebra (Fall 2019)
• Computational Differential Algebra (Spring 2022)

Conferences

• Beijing Model Theory Conference 2024