Department of Pure Mathematics

Research output

Research output per year 2006 2014 2018 2021 2022 2023 2024 2025

• 53 Article
• 4 Conference Proceeding
• 1 Review article
• 0 Chapter

Research output per year

Research output per year

Search results

• 2006

  4维完备Einstein流形的一些注释

  Zhang, Y., 2006, In: 数学年刊A.

  Research output: Contribution to journal › Article › peer-review

• Deformation of special Lagrangian suborbifolds

  Zhang, Y., 2006, In: Frontiers of Mathematics in China.

  Research output: Contribution to journal › Article › peer-review
• 2007

  Perelman's λ-functional and Seiberg-Witten equations

  Zhang, Y. & Fang, F., Jun 2007, In: Frontiers of Mathematics in China. 2, 2, p. 191-210 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Scalar Curvature 100%
  • Functionals 100%
  • 4-Manifold 33%
  • Supremum 33%
  7 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 7
  • Captures
    • Readers: 4

  see details
• 2008

  G2-manifolds and coassociative torus fibration

  Zhang, Y. & Fang, F., 2008, In: Frontiers of Mathematics in China.

  Research output: Contribution to journal › Article › peer-review

• Maximum solutions of normalized Ricci flow on 4-manifolds

  Zhang, Y., Fang, F. & Zhang, Z., 2008, In: Communications in Mathematical Physics.

  Research output: Contribution to journal › Article › peer-review

  3 Citations (Scopus)

• Non-singular solutions to the normalized Ricci flow equation

  Zhang, Y., Fang, F. & Zhang, Z., 2008, In: Mathematische Annalen.

  Research output: Contribution to journal › Article › peer-review

  17 Citations (Scopus)

• Witten Genus and String Complete Intersections

  Chen, Q. & Han, F., Feb 2008, In: Pacific Journal of Mathematics. 234, 2, p. 249-259 11 p.

  Research output: Contribution to journal › Article › peer-review

  • Complete Intersection 100%
  • Projective Space 50%
  4 Citations (Scopus)
• 2009

  Elliptic Genera, Transgression and Loop Space Chern-Simons Forms

  Chen, Q. & Han, F., Jan 2009, In: Communications in Analysis and Geometry. 17, 1, p. 73-106 34 p.

  Research output: Contribution to journal › Article › peer-review

  9 Citations (Scopus)

• Miyaoka-Yau inequality for minimal projective manifolds of general type

  Zhang, Y., 2009, In: Proceedings of the American Mathematical Society.

  Research output: Contribution to journal › Article › peer-review

  15 Citations (Scopus)

• Modular Invariance and Twisted Anomaly Cancellations of Characteristic Numbers

  Chen, Q. & Han, F., Mar 2009, In: Transactions of the American Mathematical Society. 361, 3, p. 1463-1493 31 p.

  Research output: Contribution to journal › Article › peer-review

  • Spin 100%
  • Invariance 100%
  • Shapes 66%
  • Congruences 66%

• Some Mathematical Aspects of Quantum Field Theory

  Chen, Q., May 2009, In: Berkeley Library. p. 1-221 221 p.

  Research output: Contribution to journal › Article › peer-review
• 2010

  Non-singular solutions of normalized Ricci-flow on noncompact manifolds of finite volume

  Zhang, Y., Fang, F. & Zhang, Z., 2010, In: Journal of Geometric Analysis.

  Research output: Contribution to journal › Article › peer-review

  3 Citations (Scopus)

• Witten genus and vanishing results on complete intersections

  Chen, Q., Han, F. & Zhang, W., Mar 2010, In: Comptes Rendus Mathematique. 348, 5-6, p. 295-298 4 p.

  Research output: Contribution to journal › Article › peer-review

  4 Citations (Scopus)
• 2011

  Continuity of Extremal Transitions and Flops for Calabi-Yau Manifolds

  Zhang, Y. & Rong, X., 2011, In: Journal of Differential Geometry.

  Research output: Contribution to journal › Article › peer-review

  44 Citations (Scopus)

• Convergence of Calabi-Yau manifolds

  Zhang, Y. & Ruan, W., 2011, In: Advances in Mathematics.

  Research output: Contribution to journal › Article › peer-review

  23 Citations (Scopus)

• Generalized Witten Genus and Vanishing Theorems

  Chen, Q., Han, F. & Zhang, W., May 2011, In: Journal of Differential Geometry. 88, 1, p. 1-39 39 p.

  Research output: Contribution to journal › Article › peer-review

  • Vanishing Theorem 100%
  • Fourier Expansion 25%
  • Complete Intersection 25%
  13 Citations (Scopus)
• 2012

  A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds

  Zhang, Y. & Zhang, Z., 2012, In: Proceedings of the American Mathematical Society.

  Research output: Contribution to journal › Article › peer-review

  5 Citations (Scopus)

• Critically paintable, choosable or colorable graphs

  Schauz, U. & Riasat, A., 28 Nov 2012, In: Discrete Mathematics. 312, 22, p. 3373-3383 11 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  5 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 5
  • Captures
    • Readers: 9

  see details

• Equivariant totally real 3-spheres in the complex projective space C{double-struck}P{double-struck} ⁿ

  Fei, J., Peng, C. & Xu, X., Jun 2012, In: Differential Geometry and its Application. 30, 3, p. 262-273 12 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  4 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 4

  see details

• Orthogonal Quantum Group Invariants of Links

  Chen, Q. & Chen, L., Jun 2012, In: Pacific Journal of Mathematics. 257, 2, p. 267-318 52 p.

  Research output: Contribution to journal › Article › peer-review

  • Polynomial 100%
  • Quantum Group 100%
  • Partition Function 100%
  • Torus 50%
  • Roots 50%
  4 Citations (Scopus)
• 2013

  On the classification of homogeneous 2-spheres in complex Grassmannians

  Fei, J., Jiao, X., Xiao, L. & Xu, X., Mar 2013, In: Osaka Journal of Mathematics. 50, 1, p. 135-152 18 p.

  Research output: Contribution to journal › Article › peer-review

  18 Citations (Scopus)
• 2014

  Classification of polynomial mappings between commutative groups

  Schauz, U., Jun 2014, In: Journal of Number Theory. 139, p. 1-28 28 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  4 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 4
  • Captures
    • Readers: 3

  see details

• Geometrical invariability of transformation between a time series and a complex network

  Zhao, Y., Weng, T. & Ye, S., 9 Jul 2014, In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 90, 1, 012804.

  Research output: Contribution to journal › Article › peer-review

  • Transformations 100%
  • Complex Network 100%
  • Networks 100%
  • Complex Networks 100%
  • Dimensions 33%
  40 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 40
  • Captures
    • Readers: 41

  see details

  

• Low-dimensional representations of matrix groups and group actions on CAT(0) spaces and manifolds

  Ye, S., 1 Jul 2014, In: Journal of Algebra. 409, p. 219-243 25 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Manifold 100%
  • Matrix Group 100%
  • CAT(0) Space 100%
  • Rigidity 50%
  • Sphere 50%
  6 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 6
  • Captures
    • Readers: 1

  see details

• Proof of the list edge coloring conjecture for complete graphs of prime degree

  Schauz, U., 18 Sept 2014, In: Electronic Journal of Combinatorics. 21, 3

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Edge 100%
  • Complete Graph 100%
  • Nullstellensatz 50%
  • Latin Square 50%
  • Classes 25%
  18 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 18
  • Captures
    • Readers: 7

  see details

• Recursion Formulas for HOMFLY and Kauffman Invariants

  Chen, Q. & Reshetikhin, N., Apr 2014, In: Journal of Knot Theory and Its Ramifications. 23, 5, p. 1-23 23 p.

  Research output: Contribution to journal › Article › peer-review

  • Embedding 100%
  • Recursion 100%
  • Invariant 100%
  • Recursion Formula 100%
  • Universal Enveloping Algebra 100%
  1 Citation (Scopus)

• Some new characterizations of graph colorability and of blocking sets of projective spaces

  Schauz, U., 1 Apr 2014, In: Electronic Journal of Combinatorics. 21, 2

  Research output: Contribution to journal › Article › peer-review

  Open Access
  

  • Captures
    • Readers: 4

  see details

• The list-chromatic index of K₆

  Schauz, U., Cariolaro, D., Cariolaro, G. & Sun, X., 6 May 2014, In: Discrete Mathematics. 322, 1, p. 15-18 4 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Computer Algebra 100%
  4 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 4
  • Captures
    • Readers: 5

  see details

• Triviality of fibered Calabi-Yau manifolds without singular fibers

  Zhang, Y. & Tosatti, V., 2014, In: Mathematical Research Letters.

  Research output: Contribution to journal › Article › peer-review

  9 Citations (Scopus)

• Trivial unit conjecture and homotopy theory

  Ye, S., 15 Mar 2014, In: Journal of Algebra. 402, p. 174-177 4 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Homotopy Theory 100%
  • Homotopy 100%
  

  • Captures
    • Readers: 4

  see details
• 2015

  Fundamental groups, homology equivalences and one-sided h-cobordisms

  Su, Y. & Ye, S. K., 17 Sept 2015, In: Science China Mathematics. 58, 9, p. 2003-2014 12 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Homology 100%
  • Cobordism 100%
  • Fundamental Group 100%
  • Manifold 66%
  • Sphere 33%
  2 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 2
  • Captures
    • Readers: 2

  see details

• Mod 3 Congruence and Twisted Signature of 24 Dimensional String Manifolds

  Chen, Q. & Han, F., Apr 2015, In: Transactions of the American Mathematical Society. 367, 4, p. 2959-2977 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Congruence Property 100%
  • Modular Form 100%
  2 Citations (Scopus)

• New Structure for Orthogonal Quantum Group Invariants

  Chen, Q. & Liu, K., Aug 2015, In: Proceedings of the American Mathematical Society. 143, 8, p. 3645-3657 13 p.

  Research output: Contribution to journal › Article › peer-review

  • Infinite Product 100%
  • Orthogonal Case 100%
  2 Citations (Scopus)

• Volume conjecture for SU(n)-invariants

  Chen, Q., Liu, K. & Zhu, S., 2 Nov 2015, In: arXiv e-prints. math.QA/1511.00658, p. 1-17 17 p.

  Research output: Contribution to journal › Article

  • Symmetry Property 100%
• 2016

  Completion of the moduli space for polarized Calabi-Yau manifolds

  Zhang, Y., 2016, In: Journal of Differential Geometry.

  Research output: Contribution to journal › Article › peer-review

  4 Citations (Scopus)

• Cyclotomic expansion and Volume Conjecture for superpolynomials of colored HOMFLY-PT homology and colored Kauffman homology

  Chen, Q., 27 Jan 2016, In: arXiv e-prints. math.QA/1512.07906, p. 1-31 31 p.

  Research output: Contribution to journal › Article

  • Homology 100%
  • Torus 16%
  • Bounds 16%

• Gromov-Hausdorff collapsing of Calabi-Yau manifolds

  Zhang, Y., Gross, M. & Tosatti, V., 2016, In: Communications in Analysis and Geometry.

  Research output: Contribution to journal › Article › peer-review

  33 Citations (Scopus)

• Some examples toward a Manin-Mumford conjecture for abelian uniformizable T-modules

  Demangos, L., 2016, In: Annales de la Faculte' des Sciences de Toulouse.

  Research output: Contribution to journal › Article › peer-review

• The tournament scheduling problem with absences

  Schauz, U., 1 Nov 2016, In: European Journal of Operational Research. 254, 3, p. 746-754 9 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Number 100%
  • Edge 100%
  • Upper Limit 100%
  • Coloring 100%
  • Scheduling 100%
  6 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 6
  • Captures
    • Readers: 35

  see details

  
• 2017

  Classification of homogeneous minimal immersions from S² to HPⁿ

  Fei, J. & He, L., 1 Dec 2017, In: Annali di Matematica Pura ed Applicata. 196, 6, p. 2213-2237 25 p.

  Research output: Contribution to journal › Article › peer-review
  7 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 7

  see details

• Collapsing of Calabi-Yau manifolds and special Lagrangian submanifolds

  Zhang, Y., 2017, In: Universitatis Iagellonicae Acta Mathematica. 54, p. 53-78 26 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Manifold 100%
  • Lagrangian 100%
  • Submanifold 100%
  • Fibration 25%
  4 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 4
  • Captures
    • Readers: 7

  see details

• Homogeneity-preserving property of harmonic sequences from surfaces into complex Grassmann manifolds

  Fei, J. & Zhang, W., 1 Oct 2017, In: Frontiers of Mathematics in China. 12, 5, p. 1131-1137 7 p.

  Research output: Contribution to journal › Article › peer-review

  • Manifold 100%
  • Preserving Property 100%
  • Harmonic Sequence 100%
  • Grassmann 100%
  • Grassmann G-Manifold 50%

• Local rigidity of holomorphic curves in the complex Grassmann manifold G(2,6)

  Fei, J. & Xu, X., Nov 2017, In: Journal of Geometry and Physics. 121, p. 438-451 14 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  8 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 8

  see details

• Recent progress of various Volume Conjectures for links as well as 3-manifolds

  Chen, Q., Oct 2017, In: Research Institute of Mathematics Science Kôkyûroku. 2052, 6, p. 56-73 18 p.

  Research output: Contribution to journal › Review article › peer-review

• The moments of Lévy's area using a sticky shuffle Hopf algebra

  Hudson, R., Schauz, U. & Wu, Y., 2017, In: Communications on Stochastic Analysis. 11, 3, p. 287-299 13 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  1 Citation (Scopus)

  

  • Citations
    • Citation Indexes: 1
  • Usage
    • Downloads: 276
    • Abstract Views: 52
  • Captures
    • Readers: 2

  see details

• Vanishing of L²–Betti numbers and failure of acylindrical hyperbolicity of matrix groups over rings

  Ji, F. & Ye, S., 19 Sept 2017, In: Algebraic and Geometric Topology. 17, 5, p. 2825-2840 16 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Number 100%
  • Integer 100%
  • Hyperbolicity 100%
  • Orthogonal Group 100%
  • Matrix Group 100%
  

  • Captures
    • Readers: 4

  see details

  

• Volume conjecture for 3-manifolds

  Chen, Q., Oct 2017, In: Research Institute of Mathematics Science Kôkyûroku. 2052, 12, p. 130-133 4 p.

  Research output: Contribution to journal › Review article › peer-review
• 2018

  A recurrence-weighted prediction algorithm for musical analysis

  Colucci, R., Leguizamon Cucunuba, J. S. & Lloyd, S., Mar 2018, In: Communications in Nonlinear Science and Numerical Simulation. 56, p. 392-404 13 p.

  Research output: Contribution to journal › Article › peer-review
  1 Citation (Scopus)

  

  • Citations
    • Citation Indexes: 1
  • Captures
    • Readers: 17

  see details

• Computing the list chromatic index of graphs

  Schauz, U., Sept 2018, In: Journal of Discrete Algorithms. 52-53, p. 182-191 10 p.

  Research output: Contribution to journal › Article › peer-review
  2 Citations (Scopus)

  

  • Citations
    • Citation Indexes: 2

  see details

• Degeneration of Ricci-flat Calabi-Yau manifolds and its applications

  Zhang, Y., 2018, Uniformization, Riemann-Hilbert correspondence, Calabi{Yau manifolds Picard-Fuchs equations.

  Research output: Chapter in Book or Report/Conference proceeding › Conference Proceeding › peer-review