Directory | Math
Zhaohu Nie Ph.D.

Mathematics and Statistics
Associate Professor
Associate Professor
Contact Information
Office Location: Animal Science (ANSC) 315
DialPhone: (435) 797-2812
SendEmail: zhaohu.nie@usu.edu
Educational Background
PhD, Mathematics, Stony Brook University, 2005 Dissertation
Karoubi's construction for motivic cohomology operations
Biography
With a Ph.D. in mathematics from Stony Brook University (SUNY), I had worked at Texas A&M University and Penn State University (Altoona Campus) before coming to Utah State University in Fall 2011.
Teaching Interests
Pure mathematics at all levels
Research Interests
Differential geometry, integrable systems, and differential equations.
Awards
Department Researcher of the Year, 2018
Department of Mathematics & Statistics, Utah State UniversityDepartment Researcher of the Year, 2017
Department of Mathematics and Statistics, Utah State UniversityPublications - Abstracts
Publications - Books & Book Chapters
* Has not been peer reviewed
Publications - Fact Sheets
* Has not been peer reviewed
Publications - Curriculum
* Has not been peer reviewed
Publications - Journal Articles
- 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.
- Li, L.C, Nie, Z., (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.
- 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.
Academic Journal
* Has not been peer reviewed
Publications - Literary Journal
* Has not been peer reviewed
Publications - MultiMedia
* Has not been peer reviewed
Publications - Technical Reports
* Has not been peer reviewed
Publications - Translations & Transcripts
Publications - Other
* Has not been peer reviewed
Scheduled Teaching
MATH 6110 - Differential Geometry, Fall 2018
MATH 5340 - Theory of Linear Algebra, Fall 2018
MATH 5270 - Complex Variables, Spring 2018
MATH 5220 - Introduction to Analysis II, Spring 2018
MATH 5210 - Introduction to Analysis I, Fall 2017
MATH 5270 - Complex Variables, Spring 2017
MATH 5220 - Introduction to Analysis II, Spring 2017
MATH 5340 - Theory of Linear Algebra, Fall 2016
MATH 5270 - Complex Variables, Spring 2016
MATH 5220 - Introduction to Analysis II, Spring 2016
MATH 5210 - Introduction to Analysis I, Fall 2015
MATH 5220 - Introduction to Analysis II, Spring 2015
MATH 2210 - Multivariable Calculus, Spring 2015
MATH 5210 - Introduction to Analysis I, Fall 2014
MATH 5270 - Complex Variables, Spring 2014
MATH 2210 - Multivariable Calculus, Spring 2014
MATH 6210 - Real Analysis, Fall 2013
MATH 6110,7110 - Differential Geometry, Spring 2013
MATH 2210 - Multivariable Calculus, Spring 2013
MATH 5110 - Differential Geometry, Fall 2012
MATH 5270 - Complex Variables, Spring 2012
MATH 2210 - Multivariable Calculus, Fall 2011
MATH 2210 - Multivariable Calculus, Fall 2011
Graduate Students Mentored
Patrick Seegmiller, Mathematics & Statistics, July 2012 - May 2015