Lizhen Ji

  • Here is a picture of me in Hangzhou, July 2004
  • Professor

    Department of Mathematics,
    University of Michigan,
    530 Church Street
    Ann Arbor, MI 48109-1043

    4074 East Hall
    (734) 936-4821

    lji at umich.edu


  • Curriculum Vitae
  • A. Teaching

  • I taught a graduate course on "Discrete subgroups of Lie groups" in Fall 2011, and two sections of Linear Algebra in Winter 2012.
  • Now I am teaching a graduate course on "Lie groups for working mathematicians" in Fall, 2012.
  • B. Research

  • Current Research Interests
  • C. PUBLICATION:

    C-1. Published Monographs

  • Arithmetic Groups and Their Generalizations, AMS/IP, 2008. Click here
  • Compactifications of Symmetric and Locally Symmetric Spaces (joint with A.Borel), Birkhauser, 2005. Click here
  • (The cover of the book is here)

  • Compactifications of Symmetric Spaces (joint with Yves Guivarc'h and John C. Taylor), 1998. Click here
  • C-2. Books in preparation

  • Great mathematics books of the twentieth century: a personal journey.
  • Discrete subgroups of Lie groups and discrete transformation groups.
  • C-3. Books edited

  • Fifth International Congress of Chinese Mathematicians (joint with Y.S. Poon, S.T. Yau), 2012, Click here
  • Geometry and Analysis, No. 1, IP and HEP, 2011, Click here
  • Geometry and Analysis, No. 2, IP and HEP, 2011, Click here
  • Frontiers of Mathematical Sciences: The Inauguration of the Mathematical Sciences Center of Tsinghua University and the Tsinghua-Sanya International Mathematics Forum, IP, 2011, Click here
  • Transformation Groups and Moduli Spaces of Curves (joint S.T. Yau), IP and HEP, 2011, here
  • Cohomology of Groups and Algebraic K-theory (joint with K. Liu, S.T. Yau), IP and HEP, 2010, here
  • Fourth International Congress of Chinese Mathematicians (joint with K. Liu, L. Yang, S.T. Yau), AMS and IP, 2010, here
  • Automorphic Forms and the Langlands Program (joint with K. Liu, S.T. Yau, Z. Zheng), IP and HEP, 2009, here
  • Geometry of Riemann surfaces and their moduli spaces, Surveys in Differential Geometry, Vol. 14, International Press, 2009, here
  • Handbook of Geometric Analysis, No. 1 (joint with P. Li, R. Schoen, L. Simon), IP and HEP, 2008, here
  • Handbook of Geometric Analysis, No. 2 (joint with P. Li, R. Schoen, L. Simon), IP and HEP, 2010, here
  • Handbook of Geometric Analysis, No. 3 (joint with P. Li, R. Schoen, L. Simon), IP and HEP, 2010, here
  • Geometry, Analysis and Topology of Discrete Groups (joint with K. Liu, L. Yang, S.T. Yau), IP and HEP, 2008, here
  • Lie Groups and Automorphic Forms (joint with J.S. Li, H.W. Xu, S.T. Yau), AMS and IP, 2006, here
  • C-4. Selected surveys

  • A survey on applications of buildings in geometry and topology. Click here for the original version
  • Click here for the expanded and updated version
  • A tale of two groups: arithmetic groups and mapping class groups. Click here
  • Curve complexes versus Tits buildings: structures and applications. Click here
  • From symmetric spaces to buildings, curve complexes and outer spaces. Click here
  • A brief overview of the work of Shing-Tung Yau. Click here
  • A Summary of the work of Gregory Margulis. Click here
  • An article about Robert MacPherson: Robert MacPherson seen through the eyes of others
  • C-5. List of all publications

    Here is a list of all my publications according to MathSciNet. Most papers are available in pdf form.
  • List of Publication
  • C-6. Preprints

    C-7. Some expository writings (in Chinese)

  • Here is an article (in Chinese) on Symmetry and its role in Art and Science
  • D. Invited Talks

  • A List of Invited Talks
  • E. Editorial Work

  • An editor of the Asian Journal of Mathematics
  • An editor of Science in China, Series A: Mathematics
  • The organizer of the online Michigan Lectures in Mathematics, where one could find lecture notes
    of public talks, colloquium talks, lecture series at Michigan
  • A founding editor and chief editor of Pure and Applied Mathematics Quarterly
  • The managing editor of a special issue of the Asian Journal of Mathematics in memory of Armand Borel, Volume 8, no. 4
    (For the table of contents of this issue, click here)
  • The managing editor of special issues of Pure and Applied Mathematics Quarterly
    in honor of the following people:
  • A. Borel, J. P. Serre, F.Hirzebruch, J.Coates, L. Simon, G. Margulis, J. Tate, M.Atiyah and I.Singer, J. Tits, T. Farrell and L. Jones, D. Sullivan

  • One of the chief-editors of a book series
    Advanced Lectures in Mathematics
  • published jointly by Higher Education Press and International Press

  • One of the editors of a book series
    Surveys of Modern Mathematics
  • published jointly by Higher Education Press and International Press

  • One of the chief-editors of a book series on Popular Mathematics
    Mathematics and Humanities
  • F. Outreach Activities

  • An co-organizer of a popular conference on Chinese mathematics, June 30-July 2, 2006, in Hangzhou, China
    Chinese mathematics from the past to the present
  • In July 2004, organized a public panel discussion on experiences of eminent mathematicians (Masters in Mathematics) in Hangzhou
    Why Math? Ask Masters!
  • In December 2004, co-organized and hosted another public panel discussion in Hong Kong
    The Wonders of Math
  • G. Conferences organized

  • Co-organized a conference:
    Surveys of Modern Mathematics I (July 2013)
  • Co-organized a RTG workshop:
    Random Walks on Groups (March 2013)
  • Co-organized a conference:
    Third Conference of Tsignhua Sanya International Mathematics Forum (January 2013)
  • Co-organized a conference:
    Lie and Klein; the Erlangen program and its impact on mathematics and physics (September 2012)
  • Co-organized a conference:
    Group Actions and Applications in Geometry, Topology and Analysis (July 2012)
  • Co-organized a RTG workshop:
    Recent Progress on Hyperbolic 3-Manifolds (May, 2012)
  • Co-organized a conference:
    Recent progress on moduli spaces and special varieties (December, 2011)
  • Co-organized a conference:
    Introduction to Mordern Mathematics (August, 2011)
  • Co-organized a workshop at Oberwolfach:
  • Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences (June, 2011)

  • Co-organized a RTG workshop:
    Higher Teichm├╝ller Theory (April, 2011)
  • Co-organized a conference:
    Geometry and Analysis of Riemann Surfaces and Their Moduli (April, 2011)
  • Co-organized a conference:
    International Conference on Cohomology and Representation Theories (July 2009).
  • Co-organized a conference:
    Perspectives and open problems in geometric analysis, I. (July 2009).
  • Co-organized a RTG workshop:
    Geometric Group Theory (April 2009).
  • Co-organized a conference:
    Geometric Analysis: Present and Future (August 2008).
  • in honor of the 59th birthday of Shing-Tung Yau.

  • Co-organized an Instructional Conference:
    DYNAMICS OF TEICHMUELLER SPACE (April 2008).
  • Co-organized an International Instructional Conference:
    Langlands and Geometric Langlands Program (June 2007).
  • Co-organized an Instructional Conference:
    ASPECTS OF TEICHMUELLER THEORY (April 2007).
  • Co-organizd an Internationl conference
    Geometry, topology and analysis of locally symmetric spaces and discrete groups
    at the Morningside Center of Mathematics, Beijing, from July 17 to Aug 4, 2006.
  • Co-organized an International Conference in memory of Armand Borel
    Algebraic groups, arithmetic groups, automorphic forms and representation theory (July 2004)
  • Picture of the Borel Conference in Hangzhou, July 2004
  • Excursions during Borel Conference in Hangzhou, July 2004
  • Co-organized an AMS special sesion "Differential Geometry", March, 2002
  • H. Summer schools organized

  • Co-organized a conference:
    International Summer School on Contemporary Mathematics I (June 2013)
  • Co-organized an International Summer School:
    International summer school on cohomology and representation theories (July 2009).
  • Co-organized an International Summer School:
    Geometry of Teichmuller spaces and moduli spaces of curves (July 2008).
  • Co-organized an International Summer School:
    Transformation Groups and Orbifolds (July 2008).
  • Co-organized an International Summer School:
    Cohomology of groups and Algebraic K-theory (July 2007)
  • Co-organizing a summer school at the Center of Mathematical Sciences, Zhejiang University
    Arithmetic, geometry and topology of Shimura varieties (July 2005)
  • Co-organized a summer school at the Center of Mathematical Sciences, Zhejiang University
    Automorphic Forms and Representation Theory (July 2004)
  • Organized a summer school at the Center of Mathematical Sciences, Zhejiang University
    titled "Lie groups and automorphic forms (August 2003)"
  • J. Colloquium

  • Organizing the colloquium in the academic years 2006-2012: Colloquium
  • K. Seminar

  • Organizing a seminar called "What is ...": the old website of What is ... ? with all previous talks
  • The current website: What is ...