Publications
Published
arXiv.org 1. "Canonical basis for quantum osp(1|2)", joint work with Weiqiang Wang, Letters in Mathematical Physics 103 (2013), pp.207-231
arXiv.org 2. "Super tableaux and a branching rule for the general linear Lie superalgebra", joint work with Yung-Ning Peng and Sittipong Thamrongpairoj, Linear and Multilinear Algebra, DOI:10.1080/03081087.2013.860599
arXiv.org 3. "Quantum supergroups I. Foundations", joint work with David Hill and Weiqiang Wang, Transformation Groups 18 (2013), pp. 1019-1053
arXiv.org 4. "Quantum Supergroups III. Twistors", joint work with Zhaobing Fan, Yiqiang Li, Weiqiang Wang, Comm. Math. Phys. 332 (2014), pp. 415-436
arXiv.org 5. "Quantum supergroups IV. The modified form", Math. Zeit. 278 (2014), pp. 493-528
arXiv.org 6. "Quantum supergroups II. Canonical basis", joint work with David Hill and Weiqiang Wang, Represent. Theory 18 (2014), pp. 278-309
arXiv.org 7. "Quantum supergroups V. Braid group action", joint work with David Hill, Comm. Math. Phys. 344 (2016), pp. 25-65
arXiv.org 8. "Quantum shuffles and quantum supergroups of basic type", joint work with David Hill and Weiqiang Wang, Quant. Top. 7 (2016), pp. 553-638.
Preprint
arXiv.org 9. "Quantum osp(1|2n) knot invariants are the same as quantum so(2n+1) invariants"
arXiv.org 10. "Canonical bases for the quantum enveloping algebra of gl(m|1) and its modules"
Talks
1. "Towards canonical bases for quantum Kac-Moody superalgebras", given at AMS Fall Eastern Sectional Meeting, Rochester, New York (2012-09-22); talk related to the following publications:
[1]
2. "Canonical bases for quantum Kac-Moody superalgebras", given at AMS Fall Southeastern Sectional Meeting, New Orleans, Louisiana (2012-10-14); talk related to the following publications:
[1][3]
3. "Kac-Moody quantum supergroups and global crystal bases", given at Workshop on Super Representation Theory, Institute of Mathematics, Academia Sinica, Taipei, Taiwan (2013-05-10); talk related to the following publications:
[3][6] Slides
4. "A canonical basis for covering quantum groups.", given at AMS Western Sectional Meeting, Riverside, California (2013-11-02); talk related to the following publications:
[3][5][6] Slides
5. "Canonical bases and quantum shuffle superalgebras of basic type", given at Workshop on Super Representation Theory, Institute of Mathematics, Academia Sinica, Taipei, Taiwan (2013-12-20); talk related to the following publications:
[8] Slides
6. "Quantum supergroups and canonical bases", given at University of Virginia (2014-04-04); talk related to the following publications:
[3][4][5][6] Slides
7. "Do Super Cats Make Odd Knots?", given at Max Planck Institute for Mathematics (2015-11-05); talk related to the following publications:
[9] Slides
8. "Quantum enveloping gl(m|1) and canonical bases", given at Algebraic Groups, Quantum Groups and Geometry, University of Virginia (2016-05-25); talk related to the following publications:
[10] Slides
9. "Relating osp(1|2n) and so(2n+1) knot invariants", poster presentation at the 2nd US-Mexico Conference on
Representation theory, Categorification, and Noncommutative Algebra, University of Southern California (2016-05-31); talk related to the following publications:
[9] Poster
10. "Quantum enveloping gl(m|1) and canonical bases", given at the 2nd US-Mexico Conference on
Representation theory, Categorification, and Noncommutative Algebra, University of Southern California (2016-06-01); talk related to the following publications:
[10] Slides