Yujie Xu, Prof. Dr.

I'm a mathematician and assistant professor currently based at Columbia University in New York City until December 2026. My research is partially funded by an NSF (U.S. National Science Foundation) award. 

Starting January 2027, I will be a permanent tenured professor, as the holder of the Chair of Algebra and the Anne-Beffort Excellence Chair, at the Université du Luxembourg in the EU country of Luxembourg.  The University was founded about two decades ago (younger than me!), and is located on the border with France, where the main languages spoken on campus include English, French etc. 

News: I have postdoc and PhD positions available within my research group, with starting dates flexible in 2027; the postdoc application portal is now open, see the job ad here (or on Mathjobs here).  The PhD application portal will open later this semester. 

About me: I received my PhD in May 2022 from Harvard University and was briefly at MIT (2022-2023) before moving to Columbia. Previously, I was an undergraduate student at Caltech (B.S. 2017) in sunny California. Most recently, I enjoyed two wonderful months at IHES in a beautiful suburb of Paris.    

I can be reached at xu.yujie@columbia.edu (until Dec 31st, 2026) or yujiexu@alumni.harvard.edu (permanently functioning); note that my math.harvard.edu or mit.edu email addresses no longer work and incoming mails will not be forwarded (nor bounced back). 

I'm currently organizing the weekly Automorphic Forms and Arithmetic Seminar at Columbia. I'm also co-organizing the joint Columbia-CUNY-NYU Number Theory Seminar. 

I recently co-organized a thematic month "Around the Langlands Program" at CIRM-Luminy, France, Jan-Feb 2026 (partially funded by my NSF grant). 

Research: 

I'm interested in Number Theory (NT), Representation Theory (RT) and Arithmetic Geometry (AG). 

Selected Recent Publications:   (full paper list click on "Research Papers")

• The connected components of affine Deligne--Lusztig varieties, with I.Gleason and D.Lim; Inventiones Mathematicae (2026) 

• Hecke algebras and local Langlands correspondence for non-singular depth-zero representations, with M. Solleveld, Forum of Mathematics, Sigma (2026)

• Prismatic F-gauges and Fontaine--Laffaille modules, with G. Terentiuk and V. Vologodsky; Compositio Mathematica (2026)

• Normalization in the integral models of Shimura varieties of abelian type, Mathematische Annalen (2026)

• On depth-zero characters of p-adic groups, with M. Solleveld, Math Research Letters (2026)

• Geometrization of the Satake transform for mod p Hecke algebras, with R. Cass; Forum of Mathematics, Sigma (2025)

• Modularity of arithmetic special divisors for unitary Shimura varieties, C. Qiu; Forum of Mathematics, Sigma (2025)

• Hecke algebras for p-adic reductive groups and Local Langlands Correspondence for Bernstein blocks, with A.-M. Aubert; Advances in Mathematics (2024)

• On the Hodge embedding for PEL type integral models of Shimura varieties, Bollettino dell'Unione Matematica Italiana (2024)

Preprints:   (full pub list click on "Research Papers")

• A generic categorical local Langlands correspondence for quasi-split reductive groups, with D. Helm and M. Solleveld; 

• Uniformization for moduli stacks of global G-shtukas and the Langlands-Rapoport Conjecture, with U. Hartl

• The Explicit Local Langlands Correspondence for G_2, with A.-M. Aubert (recording Luminy)

• The explicit Local Langlands Correspondence for G_2 II: character formulas and stability, with K. Suzuki

• The explicit Local Langlands Correspondence for GSp(4), Sp(4) and stability, with K. Suzuki

Last updated: October 15th, 2026