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)

Hi! I'm a 4th year PhD student at Harvard, working with Mark Kisin.

Papers

Here are some of my most recent papers:

Normalization in integral models of Shimura varieties of Hodge type 2020.

Bounding Selmer Groups for the Rankin-Selberg Convolution of Coleman Families (with A. Graham and D. Gulotta) 2019.


Older papers

Here are some of my papers from undergraduate years:

Surjectivity of Galois representations in rational families of abelian varieties (with A. Landesman, A. Swaminathan and J. Tao) 2019.

Quantum statistical mechanics in Arithmetic Topology (with M. Marcolli) 2016.

Lifting subgroups of symplectic groups over $\mathbb{Z}/\ell\mathbb{Z}$ (with A. Landesman, A. Swaminathan and J. Tao) 2016.

Hyperelliptic curves with maximal Galois action on the torsion points of their Jacobians (with A. Landesman, A. Swaminathan and J. Tao) 2016.

Some expository notes

Coming soon

Teaching

Math 21b Linear Algebra and Differential Equations, Spring 2019, Harvard University (Awarded a Bok Center Certificate of Distinction and Excellence in Teaching)

Math 221 Commutative Algebra, Fall 2019, Harvard University (Awarded a Bok Center Certificate of Distinction and Excellence in Teaching)

Elliptic Curves and Beyond, Summer Tutorial 2019, Harvard University