E-mail: zhechencz [at] gmail [dot] com

I obtained my PhD degree in the summer of 2017 at Durham University, UK.

Since then I am working at Department of Mathematics, Shantou University, China.

[Research], [Teaching], [Talks/Posters], [Miscellaneous]

Research

Currently I am working on generalised Deligne--Lusztig constructions and character sheaves for reductive groups over a local ring.

Papers:

- Zhe Chen. Twisting operators and centralisers of Lie type groups over local rings.
*Preprint*, 2020. - Zhe Chen. Flags and orbits of connected reductive groups over local rings.
*Mathematische Annalen*, 2020. - Zhe Chen. A note on cusp forms and representations of SL_2(F_p).
*Accepted by Journal of Group Theory*. - Zhe Chen. Green functions and higher Deligne--Lusztig characters.
*Documenta Mathematica*, 2018. - Zhe Chen. On the inner products of some Deligne--Lusztig-type representations.
*International Mathematics Research Notices*, 2020. - Zhe Chen. Generic character sheaves on reductive groups over a finite ring.
*Accepted by Journal of Pure and Applied Algebra*. - Zhe Chen and Alexander Stasinski. The algebraisation of higher Deligne--Lusztig representations.
*Selecta Mathematica*, 2017.

Thesis:

*On generalised Deligne--Lusztig constructions*, Durham University, 2017.

Official version. My thesis template.

Activities:

- I was running a modular Deligne--Lusztig theory seminar (2017--2018). Click here for more details.

Teaching

- Commutative Algebra (course info).
- Representation theory (course info).
- Galois theory (course info).

Talks/Posters

- "Some combinatorics of linear spaces and general linear groups over formal power series"; talk required by starting funding policy, Shantou University, China; Sep 2020.
- "Orbits and representations of Lie type groups over local rings"; Algebra and Number Theory Section in the 13th National Congress of the Chinese Mathematical Society, China; Nov 2019.
- "Orbits and representations of Lie type groups over local rings"; Buildings and Affine Grassmannians, CIRM at Luminy, France; Aug 2019.
- "Orbits and representations of Lie type groups over local rings" (short session); The 15th National Conference on Algebra, Nanning, China; Jul 2019.
- "Orbits and representations of Lie type groups over local rings"; East China Normal University, China; Apr 2019.
- "Evaluating higher Deligne--Lusztig characters"; The Third International Conference on Group Actions and Transitive Graphs, SUSTech, China; Oct 2018.
- "On the inner products of some Deligne--Lusztig type representations"; Conference on representation stability, Shantou University, China; Aug 2017.
- "On the inner products of some Deligne--Lusztig type representations"; "Groupes, Representations et Geometrie" seminar, Paris 7, France; May 2017.
- "On higher Deligne--Lusztig theory"; Number Theory Workshop in British Mathematical Colloquium 2017, host by Durham University, UK; April 2017.
- "On Deligne--Lusztig representations"; Department of Mathematics seminar, Shantou University, China; March 2017.
- "On Deligne--Lusztig representations"; Department of Mathematics seminar, East China Normal University, China; December 2016.
- "Algebraisation and geometrisation in higher Deligne--Lusztig theory" (short session); Representation Theory of Finite and p-adic Groups of Lie Type, CIRM at Luminy, France; November 2016.
- "Higner Deligne--Lusztig theory" (poster); Algebraisation and Geometrisation in the Langlands Programme, University of Bristol, UK; March--April 2016.
- "The algebraisation of higner Deligne--Lusztig theory"; ASG seminar, Durham University, UK; February 2016.
- "An introduction to the Deligne--Lusztig theory"; ASG seminar, Durham University, UK; February 2014.

(Below are my talks in GandAlf, the pure Math PhD student seminar in Durham; "GandAlf" means "Geometry and Algebra forum".)

- "Zeta values and characteristic polynomials (in Iwasawa theory)"; June 2016.
- "Geometry of representations of finite linear groups"; November 2015.
- "Reductive algebraic groups and parabolic induction"; February 2014.
- "Zeta functions and étale cohomology"; November 2013.

Miscellaneous

- Weiqi (also known as Baduk and Go) is an ancient board game, built on a few simple rules. I continued this hobby in UK via the friendly Durham Go club.
- A collection of photos (...under construction...).
- Personal list of restaurants (...under construction...).