Yu, Guoliang individual record
Professor
Positions:
overview

My research focuses on noncommutative geometry, K-theory of operator algebras, index theory, topology and analysis of manifolds, and geometric group theory.

selected publications
Academic Articles57
  • Gong, S., Wu, J., & Yu, G. (2021). The Novikov conjecture, the group of volume preserving diffeomorphisms and Hilbert-Hadamard spaces. Geometric and Functional Analysis. 31(2), 206-267.
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  • Fu, B., Wang, X., & Yu, G. (2020). The Equivariant Coarse Novikov Conjecture and Coarse Embedding. COMMUNICATIONS IN MATHEMATICAL PHYSICS. 380(1), 245-272.
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  • Chen, X., Liu, H., & Yu, G. (2020). Higher ρ invariant is an obstruction to the inverse being local. Journal of Geometry and Physics. 150, 103592-103592.
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  • Chang, S., Weinberger, S., & Yu, G. (2020). Positive scalar curvature and a new index theory for noncompact manifolds. Journal of Geometry and Physics. 149, 103575-103575.
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  • Weinberger, S., Xie, Z., & Yu, G. (2020). Additivity of Higher Rho Invariants and Nonrigidity of Topological Manifolds. Communications on pure and applied mathematics. 74(1), 3-113.
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Books2
  • Willett, R., & Yu, G. (2020). Higher Index Theory. Cambridge University Press.
  • Nowak, P. W., & Yu, G. (2012). Large Scale Geometry. Samfundslitteratur.
Chapters3
  • Xie, Z., & Yu, G. (2019). Higher invariants in noncommutative geometry. Advances in Noncommutative Geometry. 691-751. Springer International Publishing.
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  • Chang, S., Weinberger, S., & Yu, G. (2017). Contractible manifolds with exotic positive scalar curvature behavior. Contemporary Mathematics. 51-64.
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  • Xie, Z., & Yu, G. (2015). Noncommutative Geometry of Discrete Groups. Cheng, S. Y., Ji, L., Poon, Y. S., Xiao, J., Yang, L., & Yau, S. T. (Eds.), Introduction to Modern Mathematics. International Press.
Conference Papers1
Email
guoliangyu@tamu.edu
First Name
Guoliang
Last Name
Yu
mailing address
Texas A&M University; Mathematics; 3368 TAMU
College Station, TX 77843-3368
USA