Joshua Jeishing Wen
温則新

My research is broadly concerned with special functions arising from quantum groups---one might call it quantum harmonic analysis, but that is perhaps an overloaded term. 

I am the last student of Tom Nevins.

Email: joshua[dot]jeishing[dot]wen[at]univie[dot]ac[dot]at

CV: Updated April 2026

News:

• Together with Andrei Negut, I am co-organizing the SwissMAP workshop "Shuffle algebras and quantum loop groups", taking place June 7-12, 2026 in Les Diablerets.

• From 2026-2030, my work will be supported by a generous grant from the Austrian Science Fund: FWF Einzelprojekt "Harmonic analysis on quantum groups".

Preprints:

1. Ext operators for wreath Macdonald polynomials
   🤝🏽 with S. Albion Ferlinc
   🔗 arXiv.2508.10772 (18 pp, submitted)

2. Five-Term Relations for wreath Macdonald polynomials and tableau formulas for Pieri coefficients
   🤝🏽 with M. Romero
   🔗 arXiv.2505.15606 (28pp, submitted)

3. Tesler identities for wreath Macdonald polynomials
   🤝🏽 with M. Romero
   🔗 arXiv.2505.01732 (61pp, submitted)

4. On Macdonald expansions of q-chromatic symmetric functions and the Stanley-Stembridge Conjecture
   🤝🏽 with S. T. Griffin, A. Mellit, M. Romero, and K. Weigl
   🔗 arXiv.2504.06936 (13pp, submitted)

5. Harish-Chandra isomorphism for cyclotomic double affine Hecke algebras
   🔗 arXiv.2407.07679 (48pp, submitted)

Publications:

1. Quantum Harish-Chandra isomorphism for the double affine Hecke algebra of GLn
   📖 J. Éc. polytech. Math. 13 (2026), 52pp
   🔗 arXiv.2309.00823

2. Wreath Macdonald operators

🤝🏽 with D. Orr and M. Shimozono
📖 Forum Math. Sigma 13 (2025), 65pp

📖 Sém. Lothar. Combin. 89B.51 (2023), 12pp (extended abstract)
🔗 arXiv.2211.03851

3. Wreath Macdonald polynomials as eigenstates
   📖 Selecta Math. (N.S.) 31 (2025), 108pp
   🔗 arXiv.1904.05015

4. Shuffle approach to wreath Pieri operators
   📖 Contemp. Math. 815, 30pp
   🔗 arXiv.2402.06007