Yujie Xu

(Me at Windsor Castle, aka my Zoom profile)
Here are some of my most recent papers:
[New] Geometrization of the Satake transform for mod p Hecke algebras. (with R. Cass), 2022
[New] The Explicit Local Langlands Correspondence for G_{2}. (with A.M. Aubert), 2022
Hecke algebras for padic reductive groups and Local Langlands Correspondence for Bernstein blocks. (with A.M. Aubert), 2022
[New] The connected components of affine DeligneLusztig varieties. (with I. Gleason and D.G. Lim), 2022.
A comparison of the KisinPappas model with RapoportSmithlingZhang model (Appendix to "Arithmetic modularity of special divisors and arithmetic mixed SiegelWeil formula" by C. Qiu), 2022.
Normalization in integral models of Shimura varieties of Hodge type.
Finiteness of fppf cohomology.
On the Hodge embedding for PEL type integral models of Shimura varieties.
Bounding Selmer Groups for the RankinSelberg Convolution of Coleman Families (with A. Graham and D. Gulotta), Canadian Journal of Mathematics, 2020.
Surjectivity of Galois representations in rational families of abelian varieties (with A. Landesman, A. Swaminathan and J. Tao), Algebra & Number Theory, 2019.
Here is (the expository part of) my Harvard minor thesis on the Geometric Langlands Conjectures.
Instructor/Lecturer for Math 21b Linear Algebra and Differential Equations, Harvard University (Awarded a Bok Center Certificate of Distinction and Excellence in Teaching)
Here you can find excerpts of some extremely positive student comments from the freshman linear algebra class I taught at Harvard.
Teaching Fellow for Math 221 Commutative Algebra, Fall 2019, Harvard University (Awarded a Bok Center Certificate of Distinction and Excellence in Teaching)
Teaching Fellow for Math 137 Algebraic Geometry, Spring 2020, Harvard University (due to the pandemic, this course switched to Zoom instruction halfway, and there was no quantitive student evaluation nor Bok Center Teaching Award given out)
Teaching Fellow, Math 122 Algebra I: Theory of Groups and Vector Spaces, Fall 2020 (Zoom instruction), Harvard University (Awarded a Bok Center Certificate of Distinction and Excellence in Teaching)
Elliptic Curves and Beyond, Summer Tutorial 2019, Harvard University