Homepage of Wushi Goldring

I am an Associate Professor at the Mathematics Department of Stockholm University, Sweden.

Department of Mathematics
Stockholm University
SE-10691 Sweden

Email Address: wushijig (at) gmail (dot) com

Office: House 6, Room 107
Office Hours: Fall 2019: Before each week, I will post office hours for the upcoming week.
• Next Office Hours: TBA for week of 2 September

Teaching (Fall 2019):
• Reductive Algebraic Groups
• Abstract Algebra MM5020

Seminars: Speaker suggestions welcome!
Stockholm Algebra and Geometry Seminar: AG-seminar
Stockholm Number Theory Seminar: NT-seminar
Stockholm Representation theory, operator algebras and harmonic analysis seminar: HAOART
Séminaire Bourbaki in Paris bourbaki

Preprints:
1. The Griffiths bundle is generated by groups

2. Stability of degenerate limits of discrete series under functoriality

Publications:

10. (with Jean-Stefan Koskivirta) Strata Hasse invariants, Hecke algebras and Galois representations
Invent. Math. 217 No. 3 (2019) , pp. 887-984.

9. (with Jean-Stefan Koskivirta) Quasi-constant characters: Motivation, classification and applications
Adv. in Math. 339 (2018), pp. 336-366

global_sections.pdf

7 (with Jean-Stefan Koskivirta) Stratification of flag spaces and functoriality
IMRN No. 12 (2019), pp. 3646-3682

6. (with Marc-Hubert Nicole) The $\mu$-ordinary Hasse invariant of unitary Shimura varieties. J. reine angew. Math. 728 (2017), pp. 137–151.  Mu Hasse.pdf  Notes: Merges our two previous preprints,  "A \mu-ordinary Hasse invariant" (arXiv:1302.1614v2) and "The \mu-ordinary Hasse invariant of unitary Shimura varieties" (arXiv:1305.6956v1). 5. An introduction to the Langlands correspondence. pp. 333-367  of "Recent Advances in Hodge Theory: Period Domains, Algebraic Cycles, and Arithmetic". Proceedings of a conference held at the Pacific Institute for the Mathematical Sciences, Vancouver, Canada in June 2013. Matt Kerr and Gregory Pearlstein editors, Cambridge University Press, 2016.  intro-vancouver.pdf  Notes: Based on three expository lectures given at the above conference.

4.  Galois Representations Associated to Holomorphic Limits of Discrete Series. With an appendix by Sug Woo Shin.

Compositio Math. 150  (2014) pp.191-228

galois hlds.pdf

3. A new proof of Belyi's Theorem

J. Number Theory 135 (2014) pp. 151-154

pp. 181--214 of Number Theory, Analysis and Geometry (Serge Lang Memorial Volume). D. Goldfeld, J. Jorgenson, P. Jones, D. Ramakrishnan, K. Ribet, J. Tate eds. Springer-Verlag, 2011

1. Dynamics of the w function and primes
J. Number Theory 119 (2006) pp. 86-98