Zijian Yao

Department of Mathematics
Harvard University
Science Center 242f
1 Oxford Street
MA 02138, USA

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

Hi! I am a fourth year graduate student at Harvard. My advisor is Mark Kisin.
I am interested in number theory and arithmetic geometry (including p-adic geometry, automorphic forms and various parts of the Langlands program).

Research

The log cristalline specialization of Ainf-cohomology in the semi-stable case.   (In preparation).

Logarithmic de Rham-Witt complexes via the Décalage operator.   (arXiv preprint).  

The Breuil-Mézard conjecture for function fields.   (arXiv preprint).

Perfectoid covers of abelian varieties   (arXiv preprint).
With C. Blasestad, D. Gvirtz, B Heuer, D Shchedrina, K. Shimizu and P. Wear.
Some undergraduate stuff on dynamics and combinatorics
Peckness of Edge Posets.   2015.
With D. Hemminger and A. Landesman

Something about the Pentagram map and its point of collapse.   2014.

Something about Devil's staircase and rotation numbers.   2014.


Teaching

Fall 2018 -- Calculus 21A (multivariable calculus).     Office Hours (Wed: 10pm-11pm in MQC)

Fall 2017 -- Arithmetic of Elliptic Curves.

Summer 2017 - Binary quadratic forms and class field theory.

Fall 2016 -- Arithmetic of Elliptic Curves.


Seminars (co-)organized

Harvard Number Theorists Seminar - Fall 2018

Current Notions Seminar - Fall 2018

Integral p-adic Hodge theory - summer 2017

Torsion in cohomology - Spring 2017

Seminar on Faltings's Theorem - Spring 2016


Expository notes

To appear






Last revised August, 2018