(with Stephen Theriault) Stabilization of Poincaré duality complexes and homotopy gyrations, 36 pages, arXiv:2504.09786.
(with Stephen Theriault) Homotopy of blow ups after looping, 52 pages, arXiv:2308.14531.
Comparison techniques on inert top cell attachments, 110 pages, arXiv:2408.10716.
(with Pengcheng Li) Suspension Splitting and Cohomotopy Sets of Simply Connected 7-manifolds, published online at Canadian Journal of Mathematics. arXiv:2208.13145
Sphere bundles over 4-manifolds are trivial after looping, 14 pages, Mathematische Zeitschrift, 310, 48 (2025). arXiv:2210.17352.
(with Stephen Theriault), Homotopy theoretical properties of open books, The Quarterly Journal of Mathematics, 75 (2024), 1201-1218. arXiv:2111.07063
(with Stephen Theriault) Homotopy of manifolds stabilized by projective spaces, Journal of Topology, vol 16 issue 3 (2023), 1237-1257. arXiv:2204.04368
Suspension homotopy of 6-manifolds, Algebraic and Geometric Topology 23 (1) (2023), 439-460. arXiv:2104.04994
Loop homotopy of 6-manifolds over 4-manifolds, Algebraic and Geometric Topology 23 (5) (2023), 2369-2388. arXiv:2105.03881
(with Stephen Theriault), Loop space decompositions of (2n-2)-connected (4n-1)-dimensional Poincare Duality complexes, Research in the Mathematical Sciences volume 9, Article number: 53 (2022). arXiv:2106.08055
Homotopy types of gauge groups over high dimensional manifolds, Proceedings of the Royal Society of Edinburgh Section A: Mathematics 152, 182-208 (2022). arXiv:1805.04879
Homotopy of gauge groups over non-simply-connected five dimensional manifolds, Science China Mathematics, Vol. 64 No. 5, 1061-1092, (2021). arXiv:1805.04878
(with Fei Han and Weiping Zhang) An Almost Flat Spin Manifold Bounds, 14 pages, arXiv:2512.19335.
(with Fei Han and Varghese Mathai), Fractional structures on bundle gerbe modules and fractional classifying spaces, 54 pages, preprint, 2022, arXiv:2203.14439
(with Fei Han), Elliptic genus and string cobordism at dimension 24, Pacific Journal of Mathematics, Vol. 328 No. 2 (2024), 275-286. arXiv:2110.11022
(with Fei Han), On characteristic numbers of 24 dimensional string manifolds, Mathematische Zeitschrift 300 (2022), 2309-2331. arXiv:2103.11413
(with Fei Han, Kefeng Liu and Weiping Zhang), Cubic forms, anomaly cancellation and modularity, Advances in Mathematics, 394 (2022) 108023. arXiv:2005.02344
(with Haibao Duan and Fei Han), String^c structures and modular invariants, Transactions of the American Mathematical Society, Volume 374, Number 5, May 2021, 3491-3533. arXiv:1905.02093
Homotopy of Simply Connected Complexes with a Spherical Pair, 32 pages, to appear in Transactions of the American Mathematical Society, arXiv:2601.02247
Local hyperbolicity, inert maps and Moore's conjecture, 20 pages, International Mathematics Research Notices, Volume 2025, Issue 20 (2025) rnaf322. arXiv:2504.09787.
(with Guy Boyde) Some asymptotic formulae for torsion in homotopy groups, Canadian Journal of Mathematics, Vol. 76 (4), 2024 pp. 1339-1357. arXiv:2301.02497
(with Fred Cohen), Orders of the canonical vector bundles over configuration spaces of finite graphs, Pacific Journal of Mathematics, Vol. 316 No. 1 (2022), 53-64. arXiv: 2110.12688
(with Jie Wu), Exponential growth of homotopy groups of suspended finite complexes, Mathematische Zeitschrift 295, (2020), 1301-1321. arXiv:1706.02918
(with Jie Wu), Combinatorics of double loop suspensions, evaluation maps and Cohen groups, Journal of the Mathematical Society of Japan Vol. 72, No. 3 (2020), pp. 847-889. arXiv:1706.02916
(with Jie Wu), Cancellation and homotopy rigidity of classic functors, Journal of the London Mathematical Society 99 (1) (2019), 225-248. arXiv:1706.02917
(with Jie Wu), On mod $p$ $A_p$-spaces, Algebraic and Geometric Topology 17 (2017), 2125-2144. arXiv:1701.05803, PDF
(with Stephen Theriault), Exponential growth in the rational homology of free loop spaces and in torsion homotopy groups, Annales de l'Institut Fourier, 74 (4) (2024), 1365-1382. arXiv:2105.04426
Coformality around fibrations and cofibrations, 13 pages, Homology, Homotogy and Applications 25 (1) (2023), 235-248. arXiv:2108.08446
(with Xiugui Liu), Some notes on the sectional fibrations, Topology and its Applications 207 (2016), 123-135. PDF
(with Xiugui Liu), The rational homotopical nilpotency of principal $U_n(\mathbb{C})$-bundles, Topology and its Applications 160 (2013), 1466-1475. PDF
(with Xiugui Liu), Non-triviality of a product in the Adams $E_2$-term, Indian Journal of Pure and Applied Mathematics, vol. 47 (1) (2016), 59-72. PDF
(with Xiugui Liu), A nontrivial product in the $E_2$-term of the Adams spectral sequence for the sphere spectrum, Journal of Homotopy and Related Structures, vol. 10 (4) (2015), 735-748. PDF
(with X. Liu and S. Liu), Existence of $b_0b_1g_0\gamma_s$-element in the stable homotopy of spheres, Journal of Homotopy and Related Structures, vol. 9 (2) (2014), 263-271.