Curriculum Vitae

Contact

School of Mathematical Sciences,
Shanghai Jiao Tong University
800 Dongchuan Rd Shanghai, 200240, China
Mobile
+65-84040137
Email
hoxide@sjtu.edu.cn, hoxide@gmail.com

Education

2013 Feb, Ph.D in Mathematics
National University of Singapore, Singapore
Disseration: Two topics on local theta correspondence
2007 Jun, B.S. in Mathematics
Soochow University, Suzhou Jiangsu China
Final Year Project Advisor: Dingbian Qian

Career History

Jan 2017 -- present
Special researcher, School of Mathematical Sciences, Shanghai Jiaotong University, China
Mar 2016 -- Dec 2016
Research Fellow, Department of Mathematics, National University of Singapore, Singapore
Sept 2014 -- Feb 2016
Postdoctoral Fellow, The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Hong Kong
Oct 2013 -- Aug 2014
Postdoctoral Fellow, Department of Mathematics, Ben-Gurion University of the Negav, Israel
Apr 2013 -- Aug 2013
Research Fellow, Department of Mathematics, National University of Singapore, Singapore

Publications and preprints

1. Transfers of K-types on local theta lifts of characters and unitary lowest weight modules,
(with Hung Yean Loke and U-Liang Tang), ArXiv e-prints:1207.6454,
Israel Journal of Mathematics, Vol 201, Issue 1, pp 1-24, 20 June 2014
2. Derived functor modules, dual pairs and U(𝔤)K-actions, ArXiv e-prints:1310.6378, Journal of Algebra, Volume 450, pp 629–645, Mar 2016
3. Invariants and K-spectrums of local theta lifts,
(with Hung Yean Loke), ArXiv e-prints:1302.1031, Compositio Mathematica, Jan 2015
4. Local theta correspondences between epipelagic supercuspidal representations,
(with Hung Yean Loke and Gordan Savin), ArXiv e-prints:1501.07069, Mathematische Zeitschrift, Jun 2016
5. Local theta correspondence between supercuspidal representations,
(with Hung Yean Loke), ArXiv e-prints: 1512.01797, 2017, accepted by Annales Scientifiques de l'ENS
6. On two questions concerning representations distinguished by the Galois involution,
(with Maxim Gurevich and Arnab Mitra), ArXiv e-prints: 1609.03155, 2017, Forum Mathematicum
7. Unipotent representations of real classical groups, (with Binyong Sun and Chen-Bo Zhu) ArXiv e-prints: 1712.05552, 2017
8. Nilpotent orbits of orthogonal groups over p-adic fields, and the DeBacker parametrization (with Tobias Bernstein, Monica Nevins, Jit Wu Yap) ArXiv e-prints:1808.03593

Talks

Local theta correspondence between supercuspidal representations
Jul 23 2014 at NUS, Sep 05 2014 at IMS CUHK, July 26 2015 at Zhejiang University,
April 22 2015 at NUS, May 08 2015 at HKUST, Dec 25 2015 at Kyoto University
Theta correspondences and representations of classical groups
Oct 09, 2014, School of Mathematical Science, Suzhou University, China
Explicit local theta correspondences between (epipelagic) supercuspidal representations
May 28 2014, Algebraic Geometry and Number Theory Seminar, Ben Gurion University, Israel
Associated varieties and associated cycles of local theta lifts
Feb 26 2014, Faculty of Mathematics and Computer Science, The Weizmann Institute of Science, Israel
Theta lifts of one-dimensional representations
Dec 05 2012, Symposium on Representation Theory 2012, Kagoshima, Japan
Derived functor modules, dual pairs and $U(\mathfrak{g})^K$-actions
Jan 28 2011 at Workshop on Geometry and Representation Theory IMS NUS,
Mar 15 2012 at Conference on Branching Laws IMS NUS

Conferences participated

1. July 26-31, 2015, Workshop on Automorphic Forms, Geometry and Representation Theory, Zhejiang University, Hangzhou, China
2. June 1-5, 2015, Representation Theory, Number Theory and Invariant Theory In honor of Professor Roger Howe on the occasion of his 70th birthday, Yale University, US
3. April 20-22, 2015, Representation Theory and Number Theory Workshop, NUS, Singapore
4. Aug 15-29,2014, Multiplicity problems in harmonic analysis (2), Hausdorff Research Institute for Mathematics, Bonn, Germany
5. Jul 21-23,2014, Workshop on Representation Theory, National University of Singapore, Singapore
6. Jun 18-27,2014, The Gan-Gross-Prasad conjectures, Paris, France
7. Mar 16-21,2014, Toward the Proof of the Geometric Langlands Conjecture, Hebrew University of Jerusalem, Israel
8. Jul 1-13,2013, Workshop on Unitary Representations of Real Reductive Groups; Conference on Representation Theory of Reductive Groups, University of Utah, US
9. Jan 4-9,2013, Algebraic Groups and Representation Theory, A Conference in Memory of Tonny A. Springer, Hongkong, China
10. Dec 4-7,2012, Symposium on Representation Theory 2012, Kagoshima, Japan
11. Jun 3-9,2012, International summer school and workshop on representation theory and harmonic analysis, Nankai University, Tianjin, China
12. Mar 11-31,2012, Branching Laws, Institute for Mathematical Sciences, NUS, Singapore
13. Jan 3-11,2012, International Colloquium on Automorphic Representations and L-Functions, Tata Institute of Fundamental Research, Mumbai, India
14. Aug 13-19,2011, The 4th ILJU School of Mathematics: Theta Festival, POSTECH, Pohang, South Korea
15. Jun 6-10,2011, International summer school and workshop on representation theory and harmonic analysis, Nankai University, Tianjin, China
16. Jun 8-12,2010, International summer school and workshop on representation theory and harmonic analysis, Nankai University, Tianjin, China
17. Jun 9-13,2008, International summer school and workshop on representation theory and harmonic analysis, Nankai University, Tianjin, China