Homepage of Wushi Goldring

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

Academic mailing address: 
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

8. (with Jean-Stefan Koskivirta) Automorphic vector bundles with global sections on G-Zip^Z-schemes

Compositio Math.154 (2018), pp. 2586-2605

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. 
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

  belyi new proof.pdf      

2. Unifying Themes Suggested by Belyi's Theorem

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

w function.pdf