Zhaohu Nie Ph.D.

Publications | Journal Articles

Academic Journal

• Nie, Z., (2025). Blowup masses of Toda systems corresponding to the Weyl groups. International Mathematics Research Notices, 2025:15
• Hill, C.D, Merker, J., Nie, Z., Nurowski, P., (2025). Accidental CR Structures. Transformation Groups
• Nie, Z., Zhang, Y., (2024). Instability of Type (II) Lawson–Osserman cones. Calculus of Variations and Partial Differential Equations, 63:9
• Karmakar, D., Lin, C.S, Nie, Z., Wei, J., (2024). Total masses of solutions to general Toda systems with singular sources. Advances in Mathematics, 447, Paper No. 109702, 34 pp..
• Karmakar, D., Lin, C.S, Nie, Z., (2020). A priori estimates for D4 and F4 Toda systems. Journal of Functional Analysis, 279:8, 108694.
• Chang, X., Nie, Z., Wang, Z., (2019). Sign-Changing Solutions of Fractional -Laplacian Problems. Advanced Nonlinear Studies, 19:1, 29-53.
• Lin, C.S, Nie, Z., Wei, J., (2018). Toda systems and hypergeometric equations. Transactions of the American Mathematical Society, 370:11, 7605–7626.
• Li, L.C, Nie, Z., (2017). On the Liouville integrability of the periodic Kostant-Toda flow on matrix loops of level $k$. Communications in Mathematical Physics, 352:3, 1153--1203.
• Nie, Z., (2017). Toda field theories and integral curves of standard differential systems. Journal of Lie Theory, 27:2, 377--395.
• Nie, Z., (2016). Classification of solutions to Toda systems of types $C$ and $B$ with singular sources. Calculus of Variations and Partial Differential Equations, 55, 55:53.
• Anderson, I., Nie, Z., Nurowski, P., (2015). Non-rigid parabolic geometries of Monge type. Advances in Mathematics, 277, 24-55.
• Li, L.C, Nie, Z., (2015). Integrability of the periodic Kostant–Toda flow on matrix loops of level k. Comptes Rendus Mathematique, 353:4, 363-367.
• Nie, Z., (2014). On characteristic integrals of Toda field theories. Journal of Nonlinear Mathematical Physics, 21 (2014):1, 120--131.
• Nie, Z., (2014). Intrinsic construction of invariant functions on simple Lie algebras. Journal of Algebra, 402, 158-173.
• Nie, Z., (2012). On transgression in associated bundles. Houston Journal of Mathematics, 38:3, 741-749.
• Nie, Z., (2012). Secondary Chern-Euler forms and the Law of Vector Fields. Proceedings of the American Mathematical Society, 140:3, 1085-1096.
• Nie, Z., (2012). Solving Toda field theories and related algebraic and differential properties. Journal of Geometry and Physics, 62:12, 2424-2442.
• Nie, Z., (2012). The secondary Chern-Euler class for a general submanifold. Canadian Mathematical Bulletin, 55:2, 368--377.
• Nie, Z., (2012). On Sha's Secondary Chern–Euler Class. Canadian Mathematical Bulletin, 55:3, 586-596.
• Li, L.C, Nie, Z., (2011). Liouville Integrability of a Class of Integrable Spin Calogero-Moser Systems and Exponents of Simple Lie Algebras. Communications in Mathematical Physics, 308:2, 415-438.
• Nie, Z., (2009). Blow-up formulas and smooth birational invariants. Proceedings of the American Mathematical Society, 137, 2529-2539.
• Brosnan, P., Fang, H., Nie, Z., Pearlstein, G., (2009). Singularities of admissable normal functions. Inventiones Mathematicae, 177:3, 599-629.
• dos Santos, P., Nie, Z., (2009). Stable equivariant abelianization, its properties, and applications. Topology and its Applications, 156, 979-996.
• Nie, Z., (2008). Karoubi's construction for motivic cohomology operations. American Journal of Mathematics, 130:3, 713-762.
• Nie, Z., (2007). A functor converting equivariant homology to homotopy. Bulletin of the London Mathematical Society, 39:3, 499-508.
• Nie, Z., (2000). Matrix equation and its application to classification of finite-dimensional estimation algebras. Progress in Natural Science, 10:8, 594-600.

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.

Publications | Other

An asterisk (*) at the end of a publication indicates that it has not been peer-reviewed.