Yujie Xu



Department of Mathematics
Harvard University
1 Oxford Street
Cambridge
MA 02138, USA


E-mail:  yujiex[at]math[dot]harvard[dot]edu

at Windsor Castle

(Me at Windsor Castle, aka my Zoom profile)

Hi! I'm a 5th/final year PhD student at Harvard. Previously, I was an undergraduate at Caltech.

Papers

Here are some of my most recent papers:

Papers in representation theory:

On Hecke algebras for p-adic reductive groups: The example of G2. (with A.-M. Aubert),

Papers in arithmetic geometry (Shimura varieties etc.),

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 Rankin-Selberg 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.


Other Writings

Here is (the expository part of) my Harvard minor thesis on the Geometric Langlands Conjectures.


Teaching

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

Seminars

I co-organized the STAGE seminar in Fall 2021 on Uniform Mordell. You can find notes for some of the talks here.
Last revised: February 2022