Previously I was a Ritt Assistant Professor at Columbia University, after receiving my Ph.D. in 2017 from Harvard University, under the supervision of Prof. Mark Kisin.

Email: yhzhu + at + umd.edu

Office address:

Currently working remotely due to Covid-19.

If you want to meet me virtually send me an email.

## Teaching

## Research Interest

Number theory and automorphic representations. More specifically, I am interested in the interaction of the following topics as predicted in the Langlands Program:

- Arithmetic of Shimura varieties, Rapoport-Zink spaces, affine Deligne-Lusztig varieties, etc.
- Automorphic representations, Arthur-Selberg trace formulas and endoscopy
- Representation theory of real and p-adic groups.

## Papers & Preprints

*Some of the PDFs linked below are more updated than the arxiv versions.

- The stabilization of the Frobenius-Hecke traces on the intersection cohomology of orthogonal Shimura varieties. [pdf]
[arxiv]

PhD Thesis. (Submitted) - The stable trace formula for certain Shimura varieties of abelian type (with Mark Kisin and Sug Woo Shin)

In preparation. - Twisted orbital integrals and irreducible components of affine Deligne-Lusztig varieties (with Rong Zhou) [pdf] [arxiv]
*Camb. J. Math.*, 8 (2020), No. 1, 149–241. doi:10.4310/CJM.2020.v8.n1.a3 - Fine Deligne-Lusztig varieties and Arithmetic Fundamental Lemmas (with Xuhua He and Chao Li)
*Forum Math. Sigma*, 7 (2019), E15. doi:10.1017/fms.2019.45 (Open Access) - Arithmetic intersection on GSpin Rapoport-Zink spaces (with Chao Li) [pdf]

*Compos. Math.*, 154 (2018), No. 7, 1407-1440. doi:10.1112/S0010437X18007108 - Remarks on the arithmetic fundamental lemma (with Chao Li) [pdf]

*Algebra Number Theory*, 11 (2017), No. 10, 2425-2445. doi:10.2140/ant.2017.11.2425 - Proof of (Fourier-Jacobi) arithmetic fundamental lemma for the minuscule case (with Chao Li) [pdf]

An appendix to Yifeng Liu,*Fourier-Jacobi cycles and arithmetic relative trace formula**Camb. J. Math.*, to appear. - Introduction to the Langlands-Kottwitz method. [pdf]

A chapter in the Paris Book Project*Shimura Varieties, London Mathematical Society Lecture Note Series: 457*(edited by T. Haines and M. Harris). - Oberwolfach report on my thesis in this workshop.

##### Preprints/In Preparation

##### Published

##### Other Published Writings

My name in Chinese characters: 朱艺航 (simplified); 朱藝航 (traditional).

Thanks for having scrolled to the bottom! Click me

*only*if you are bored.