Zhaohu Nie Ph.D.

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Publications - Journal Articles

Academic Journal

• Nie, Z., (2017). Toda field theories and integral curves of standard differential systems. Journal of Lie Theory, 27:2, 377--395.
• Nie, Z., Li, L., (2016). On the Liouville integrability of the periodic Kostant-Toda flow on matrix loops of level $k$. Communications in Mathematical Physics, 51 pages. doi: doi:10.1007/s00220-016-2768-7
• 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.
• Nie, Z., Li, L., (2015). Integrability of the periodic Kostant-Toda flow on matrix loops of level $k$. C. R. Math. Acad. Sci. Paris, 353:4, 363--367.
• Anderson, I.M, Nie, Z., Nurowski, P., (2015). Non-rigid parabolic geometries of Monge type. Advances in Mathematics, 277:4, 24--55.
• Nie, Z., (2014). Intrinsic construction of invariant functions on simple Lie algebras. Journal of Algebra, 402, 158--173.
• Nie, Z., (2014). On characteristic integrals of Toda field theories. Journal of Nonlinear Mathematical Physics, 21 (2014):1, 120--131.
• Nie, Z., (2012). On Sha's secondary Chern-Euler class. Canadian Mathematical Bulletin, 55:3, 586-596.
• 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., Li, L., (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.
• Nie, Z., Brosnan, P., Fang, H., Pearlstein, G., (2009). Singularities of admissable normal functions. Inventiones Mathematicae, 177:3, 599-629.
• Nie, Z., dos Santos, P., (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.

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