代表性学术论文：
[1] Liu, Yang; Lu, Ziqun; Yuan, Pingzhi， On p-Brauer characters and p-regular conjugacy classes. Comm. Algebra 44 (2016), no. 6, 2443–2454.
[2] Liu, Yang; Lu, Ziqun， Prime divisors of p-regular conjugacy class sizes. Comm. Algebra 43 (2015), no. 8,3365–3371.
[3] Liu, Yang; Lu, Ziqun A note on Huppert's ρ-σ conjecture: an improvement on a result by Casolo and Dolfi. J. Algebra Appl. 13 (2014), no. 7, 1450031, 9 .
[4] Lu, Ziqun Monomial modules and endo-monomial modules. Comm. Algebra 35 (2007), no. 9, 2753–2766.
[5] Lu, Ziqun Stable Clifford extensions of modules. J. Algebra 305 (2006), no. 1, 430–432.
[6] Lu, Ziqun Invariant constituents and invariant blocks under coprime action. J. Algebra 266 (2003), no. 1, 180–188.
[7] Lu, Ziqun Induction of irreducible modules from normal subgroups. J. Algebra 267 (2003), no. 1, 1–6.
[8] Lu, Ziqun Module correspondences for twisted group algebras. Comm. Algebra 31 (2003), no. 7, 3519–3527.
[9] Lu, Ziqun; Zhang, Jiping On the diameter of a graph related to p-regular conjugacy classes of finite groups. J. Algebra 231 (2000), no. 2, 705–712.
[10] Lu, Ziqun; Zhang, Jiping On the modular version of Huppert's ρ-σ conjecture. J. Algebra 226 (2000),no. 1, 216–224.
出版教材：
1. 俞正光，鲁自群，林润亮 《线性代数与几何》（上），正规靠谱的网投平台出版社，2008年；
2. 俞正光，鲁自群，林润亮 《线性代数与几何》（下），正规靠谱的网投平台出版社，2009年。
发表教学论文：
1. 鲁自群，李铁成，微积分教学与线性代数教学的相互借鉴，大学数学，2019，5（35）：35-39；
2. 鲁自群，张贺春，马辉，陈酌，跨院系教学共建的思考与实践，教育现代化，2019，6（75）：245-247.
