Research Areas

Representation theory and quantum groups, categorification of cluster algebras arising from higher Teichmüller spaces.

Education

2022–2025  Ph.D. in IMJ-PRG and Université Paris Cité

2019–2025  Ph.D. in Mathematics Nanjing University

2016–2019  M.S. in Mathematics Shanghai University

2012–2016  B.S. in Mathematics Anqing Normal University

Awards

First Prize, 7th National Mathematics Competition for College Students

Publications

1. Bernhard Keller, Miantao Liu, A Higgs category for the cluster variety of triples of flags. (59 Pages, http://arxiv.org/abs/2509.04863.pdf).

2. Miantao Liu, Finite dimensional Nichols algebras over kG＃σ,τkZ2. (https://arxiv.org/pdf/2207.11863.pdf).

3. Miantao Liu, Ruixin Li, Nan Gao, Morphism categories of Gorenstein- projective modules, Algebra Colloq. 3 (2018).

4. Ruixin Li, Miantao Liu, Nan Gao, Algebraic K -theory of Gorenstein- projective modules, Front. Math. 1 (2018).