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    DEPARTMENT OF MATHEMATICS
    Home»People»Professors»Professor Information

    Professor Information

    Lin Shan

    Address Department of Mathematics, 17 University Ave. Ste 1701
    San Juan PR, 00925-2537
    Office NCN II C-171
    Hours
    Actual Program
    Telephone (787) 764-0000 88268
    E-Mail ude.rpu@nahs.nil

    Education

    Ph.D. , Vanderbilt University, 2007

    Research Interests

    Index Theory, Coarse Geometry, Geometric Analysis

    Selected Publications

    1. Shan, Lin; A concentration theorem of (R,p)-anders on Hadamard manifolds. Commun. Math. Res. 32 (2016), no. 2, 97–104.
    2. Shan, Lin; A class of metric spaces which do not coarsely contain expanders. Commun. Math. Res. 30 (2014), no. 3, 284–288.
    3. Shan, Lin; Wang, Zheng; Locally compact groups and property A. Adv. Math. (China) 42 (2013), no. 6, 837–841.
    4. Shan, Lin; Approximation properties and generalized rapid decay. (Chinese) Chinese Ann. Math. Ser. A 34 (2013), no. 5, 621--626; translation in Chinese J. Contemp. Math. 34 (2013), no. 4, 381–386.
    5. Shan, Lin; A concentration theorem of expanders on Hadamard manifolds. J. Funct. Anal. 263 (2012), no. 1, 109–114.
    6. Shan, Lin; An equivariant higher index theory and nonpositively curved manifolds. J. Funct. Anal. 255 (2008), no. 6, 1480–1496.
    7. Shan, Lin; Equivariant index theory and non-positively curved manifolds. Thesis (Ph.D.)–Vanderbilt University. 2007. 80 pp. ISBN: 978-1124-46919-5,
    8. Shan, Lin; Wang, Qin; The coarse geometric Novikov conjecture for subspaces of non-positively curved manifolds. J. Funct. Anal. 248 (2007), no. 2, 448–471.
    9. Shan, Lin; Reducing subspaces for a class of analytic Toeplitz operators on the bidisc. (Chinese) J. Fudan Univ. Nat. Sci. 42 (2003), no. 2, 196–200.

    Grants and Awards

    Additional Information

    Recent Posts
    • Józef H. Przytycki – “Quantum plane and plucking polynomial of rooted trees”
    • Minicourses: Algebraic Structures in Topology 2026
    • Daniel Anglada Marrero’s thesis defense
    • Matrícula abierta para MATE 3001 – Matemática Introductoria I
    • Desiré Vázquez Ortiz’s thesis defense
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    Recent Posts
    • Józef H. Przytycki – “Quantum plane and plucking polynomial of rooted trees”
    • Minicourses: Algebraic Structures in Topology 2026
    • Daniel Anglada Marrero’s thesis defense
    • Matrícula abierta para MATE 3001 – Matemática Introductoria I
    • Desiré Vázquez Ortiz’s thesis defense
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