代数几何:

• 层的模空间

• 基本群概型

• 非交换Hodge理论

• Moduli Spaces of Sheaves

• Fundamental Group Schemes

• Non-Abelian Hodge Theory

• 2011年，中国科学院，数学研究所，博士（导师：孙笑涛教授）

Education

• 2011, Institute of Mathematics, Chinese Academy of Science, Ph.D. Mathematics （Advisor：Professor Xiaotao Sun）

• 2014.09 - 至今，同济大学数学科学学院，助理教授、副教授

• 2012.07 - 2014.09，复旦大学复旦发展研究院，研究员

• 2011.07 - 2014.09，复旦大学数学科学学院，博士后

• 2012.10 - 2012.12，德国Mainz大学，访问学者

Professional Experience

• Sep., 2014 - present, School of Mathematical Sciences, Tongji University, Assistant Professor、Associate Professor

• July, 2012 - Sep., 2014, Fudan Development Institute, Fudan University, Researcher

• July, 2011 - Sep., 2014, School of Mathematical Sciences, Fudan University, Postdoctor

• Oct., 2012 - Dec., 2012, Mainz University，Germany, Visiting Scholar

Publication List:

• Lingguang Li, Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3. II.Mathematical Research Letters(Accepted).

• Lingguang Li, Frobenius stratification of moduli spaces of rank 3 vector bundles in positive characteristic 3. I.Trans. Amer. Math. Soc.372 (2019), no. 15, 5693–5711.

• Lingguang Li, On maximally Frobenius destabilised vector bundles.Bull. Aust. Math. Soc.99 (2019), no. 2, 195-202.

• Lingguang Li, Semistability of Frobenius direct image of representations of cotangent bundles.Acta Math. Sin.(Engl. Ser.) 34 (2018), no. 11, 1677-1691.

• Lingguang Li, Dual bass numbers and co-Cohen Macaulay modules.Bull. Korean Math. Soc.55 (2018), no. 2, 499–505.

• Lingguang Liand Junchao Shentu, Strong stability of cotangent bundles of cyclic covers.C. R. Math. Acad. Sci. Paris352 (2014), no. 7-8, 639-644.

• Lingguang Li, On a conjecture of Lan-Sheng-Zuo on semistable Higgs bundles: rank 3 case.Internat. J. Math.25 (2014), no. 2, 1450013, 11 pp.

• Lingguang Li, The morphism induced by Frobenius push-forward.Sci. China Math.57 (2014), no. 1, 61-67.

• Lingguang Li, Vanishing properties of dual Bass numbers.Algebra Colloq.21 (2014), no. 1, 167-180.

• Lingguang Liand F. Yu, Instability of truncated symmetric powers of sheaves.J. Algebra.386 (2013) 176-189.

• 主持国家自然科学基金青年科学基金项目《正特征域上层的(半)稳定性》(11501418).

• 主持上海市科学技术委员会“扬帆计划”项目《正特征域上向量丛模空间的几何性质》(15YF1412500).

• 主持同济大学青年优秀人才培养行动计划项目《向量丛模空间的相关问题研究》(2014KJ037).

• 参与国家自然科学基金面上项目《有几何背景的交换分次环的研究》(11271275).

• 参与国家自然科学基金青年科学基金项目《任意特征代数闭域上的不规则代数簇的分类》(11401358).

• 参与国家自然科学基金青年科学基金项目《向量丛的模空间里的曲线》(11401330).