Zhe Chen

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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

Papers:

• Zhe Chen. Intersections of Deligne--Lusztig varieties and Springer fibres. Preprint, 2021.
• 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. Journal of Pure and Applied Algebra, 2021.
• 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...).