Chun-Ju Lai (賴俊儒)

cjlai@mpim-bonn.mpg.de

I am a visiting postdoc fellow at the Max Planck Institute for Mathematics in Bonn, Germany. I obtained my PhD at the University of Virginia under supervision of Prof. Weiqiang Wang . I will join the University of Georgia as a Limited Term Assistant Professor starting August 2017.
My research interests include quantum groups, affine Hecke algebras, modular representations, geometric representation theory and algebraic combinatorics.

CV
Articles on arXiv
Research Gate Publication page
Google Scholar Citation page

Activities

Upcoming Activities
  1. Taipei Workshop on Representation Theory of Lie Superalgebras and Related Topics (invited),
    TBD,
    Academia Sinica, Taiwan, July 3 - 7, 2017.
  2. June 26 - July 7, 2017, visiting Shun-Jen Cheng,
    Academia Sinica, Taiwan.
Recent Visitings​
  1. Apr 28, 2017, visiting Andrew Hubery,
    Universität Bielefeld, Germany.
  2. Feb 14 - 17, 2017, visiting Simon Riche,
    Université Clermont Auvergne, France.
  3. Nov 27 - Dec 01, 2016, visiting Stefan Kolb,
    Newcastle University, UK.
  4. Oct 20 - 21, 2016, visiting Peter Fiebig,
    Emmy Noether Zentrum für Algebra, FAU Erlangen-Nürnberg, Germany.
  5. Sep 23 - 27, 2016, visiting Yiqiang Li,
    University at Buffalo (SUNY), New York, US.
  6. Jun 08 - Aug 08, 2016, visiting Shun-Jen Cheng,
    Academia Sinica, Taiwan.
Conference Talks​
  1. Algebraic Groups, Quantum Groups and Geometry (invited/short),
    Affine Hecke algebras and quantum symmetric pairs,
    University of Virginia, 2016.
  2. Workshop on Hecke Algebras and Lie Theory (poster),
    Affine Hecke algebras and quantum symmetric pairs,
    University of Ottawa, 2016.
  3. Southeastern Lie Theory Workshop (contributed),
    Schur duality, canonical bases, and quantum symmetric pairs of affine type,
    North Carolina State University, 2015.
  4. Workshop on Lie Theory and Representation Theory (invited),
    An elementary approach to monomial bases of quantum affine gl_n,
    East China Normal University, China, 2015.
  5. AMS Sectional Meeting,
    An elementary approach to monomial bases of quantum affine gl_n,
    Georgetown University, 2015.
  6. Southeastern Lie Theory Workshop (contributed),
    Affine Schur-type dualities of affine type B,
    University of Georgia, 2014.
  7. Cross-strait Conference on Graph Theory and Combinatorics (contributed),
    Algorithms on Parking Functions and Related Multigraphs,
    National University of Kaohsiung, 2010.
Seminar Talks and Mini Courses
  1. Dec 16, 2016, Oberseminar Representation Theory, Affine Hecke algebras and quantum symmetric pairs,
    University of Bonn, Germany.
  2. Dec 12, 2016, Algebra Seminar, Affine Hecke algebras and quantum symmetric pairs,
    IM J-PRG, France.
  3. Dec 8, 2016, MPI-Oberseminar, From Schur duality to quantum symmetric pairs,
    MPIM Bonn, Germany.
  4. Nov 29, 2016, Algebra Seminar, Affine Hecke algebras and quantum symmetric pairs,
    Newcastle University.
  5. Oct 21, 2016, Emmy Noether Seminar, Affine Hecke algebras and quantum symmetric pairs,
    Emmy Noether Center, FAU Erlangen-Nürnberg.
  6. Sep 25, 2016, Algebra Seminar, Affine Hecke algebras and quantum symmetric pairs,
    University at Buffalo, SUNY.
  7. Jul 2016, Mini course: Fifty shades of quantum groups,
    National Taiwan Normal University, Taiwan.
  8. Dec 2015, Lie Group/Representation Theory Seminar, Affine flag varieties, Hecke algebras, and quantum symmetric pairs,
    University of Maryland.
  9. Nov 2015, Algebra seminar, Quantum symmetric pairs of affine type: multiplication formulas, canonical bases, and Schur dualities,
    University of Virginia.
  10. Dec 2014, Seminar, An elementary approach to monomial and canonical bases of quantum affine gl_n,
    Academia Sinica, Taiwan.
  11. Dec 2014, Mini course on representation theory of Lie algebras,
    National Central University, Taiwan.
  12. Dec 2014, Seminar, Quantum groups and q-Schur dualities,
    National Central University, Taiwan.
  13. Jul 2014, Mini course on representation theory of Lie algebras,
    National Taiwan Normal University, Taiwan.
  14. May 2014, Algebra seminar, Quantum Schur-type dualities of finite and affine type B,
    University of Virginia.
  15. Nov 2013, Graduate seminar, I park my car in a Weyl alcove by a labeled tree,
    University of Virginia.
  16. Sep 2013, Algebra seminar, On Weyl modules over affine Lie algebras in prime characteristic,
    University of Virginia.
  17. Nov 2010, Seminar, Algorithms on parking functions and related multigraphs,
    National University of Kaohsiung, Taiwan.

Publications

  1. Z. Fan, C. Lai, Y. Li, L. Luo and W. Wang,
    Affine Hecke algebras and quantum symmetric pairs
    ,
    arXiv:1609.06199, 67 pages.
  2. C. Lai,
    Affine Quantum Symmetric Pairs: Multiplication Formulas and Canonical Bases
    ,
    dissertation (2016), 124 pages.
  3. Z. Fan, C. Lai, Y. Li, L. Luo and W. Wang,
    Affine flag varieties and quantum symmetric pairs
    ,
    arXiv:1602.04383, 108 pages
  4. C. Lai and L. Luo,
    An elementary construction of monomial bases of quantum affine gl_n
    ,
    arXiv:1506.07263, 14 pages,
    accepted by Journal of London Mathematical Society.
  5. C. Lai,
    On Weyl modules over affine Lie algebras in prime characteristic,

    Transform. Groups, 21 (2016), 1123-1153.
  6. S. Eu, T. Fu, C. Lai,
    Cycle Lemma, Parking Functions and Related ultigraphs
    ,
    Graphs and Combinatorics, 26 (2010), 345 - 360.
  7. S. Eu, T. Fu, C. Lai,
    On the enumeration of parking functions by leading terms
    ,
    Advances in Applied Mathematics, 35 (2005), 392 - 406.

Experience

Max Planck Institute for Mathematics in Bonn

Visiting Postdoc Fellow

2016 - now
Max Planck Institute for Mathematics in Bonn, Germany
Academia Sinica

Visiting Scholar

2016
Institute of Mathematics
Academia Sinica, Taiwan
University of Virginia

Doctor of Philosophy

2011 - 2016
Graduate Instructor (3 years) / Teaching Assistant (.5 year)
Adviser: Prof. Weiqiang Wang
Department of Mathematics, University of Virginia, USA
National Center of Theoretical Science

Research Assistant

2010 - 2011
Mentor: Prof. Shun-Jen Cheng
Mathematics Division
National Center of Theoretical Science, Taiwan
National Taiwan University

Bachelor of Science / Science in Engineering

2005 - 2009
Double major in Electrical Engineering / Mathematics
National Taiwan University, Taiwan