Chuangxun Cheng³Ì´´Ñ«Department of Mathematics Nanjing University Nanjing University 22 Hankou Road 210093 Nanjing China Office: Jiayi Building Yi-203 (¼×ÒÒÂ¥ÒÒ203) E-Mail: cxcheng@nju.edu.cn |

*The phase retrievability of irreducible representations of finite groups*PDF

Preprint 2024

*On the trace map of Lubin-Tate formal groups and a result of Lang-Tate*PDF

(With Cheng Niu) Preprint 2024

*Three MacWilliams type identities and quantum error-correcting G-codes*PDF

(With Xiaoguang Shang) Preprint 2023

*Phase retrievable vectors and maximal spanning vectors*PDF

(With Jiuyi Lu and Xiaoguang Shang) Preprint 2023

*Remarks on frames from projective representations of locally compact groups*PDF

(With Junyun Chen) To appear in J. Fourier Anal. Appl. 2024

*Some remarks on projective representations of compact groups and frames*PDF

(With Guilin Li) To appear in Commun. Math. Stat. 2024

*Distinguishing newforms by the prime divisors of their Fourier coefficients*PDF

(With Wei Wang) J. Number Theory 255 (2024), 148¨C165.

*Orbit-injective covariant quantum channels*PDF

(With Kai Liu and Deguang Han) Linear Algebra Appl. 668 (2023), 28¨C50.

*On ¦Ð-divisible O-modules over fields of characteristic p*PDF

Asian J. Math. 27 (2023), no. 1, 1¨C56.

*On the existence of maximal spanning vectors in L2(Q2) and L2(F2((T)))*PDF

(With Jiuyi Lu) J. Number Theory 245 (2023), 187¨C202.

*Phase retrieval for continuous Gabor frames on locally compact abelian groups*PDF

(With Hailong Xu, Wen-Lung Lo) Banach J. Math. Anal. 15 (2021), no. 2, Paper No. 32, 22 pp.

*On twisted group frames*PDF

(With Deguang Han) Linear Algebra Appl. 569 (2019), 285-310.

*Phase retrievable projective representation frames for finite abelian groups*PDF

(With Joseph Bremman, Deguang Han, Ted Juste, and Lan Li) J Fourier Anal Appl (2019) 25, 86-100.

*On multiplicities of Galois representations in cohomology groups of Shimura curves*PDF

(With Fu Ji) Math. Res. Lett. (2018) Volume 25, Number 3, 759-782.

*Breuil O-windows and ¦Ð-divisible O-modules*PDF

Trans. Amer. Math. Soc. 370 (2018), no. 1, 695-726.

*O-displays and ¦Ð-divisible formal O-modules*PDF

(With Tobias Ahsendorf and Thomas Zink) Journal of Algebra 457 (2016) 129-193.

*A character theory for projective representations of finite groups*PDF

Linear Algebra and its Applications, Volume 469, 15 March 2015, 230-242.

*Explicit examples for the Breuil-M¨¦zard conjecture*PDF

Journal of Number Theory 157 (2015) 199-214.

*Multiplicity one of regular Serre weights*PDF

Israel Journal of Mathematics November 2013, Volume 198, Issue 1, 419-466.

*Local Diophantine properties of Shimura curves and the Fp-gonality*PDF

Funct. Approx. Comment. Math. Volume 49, Number 2 (2013), 321-330.

*Mod p representations of SL2(Qp)*PDF

Journal of Number Theory 133 (2013) 1312-1330.

*Rank two Breuil modules: basic structures*PDF

Journal of Number Theory 132 (2012) 2379-2396.

*Some results on Galois representations attached to motives of GL2-type*PDF

Funct. Approx. Comment. Math. Volume 49, Number 2 (2013), 371-381.

*A relation between the Brauer group and the Tate-Shafarevich group*PDF

Funct. Approx. Comment. Math. Volume 47, Number 2 (2012), 149-156.

*Some consequences of Schanuel's Conjecture*PDF

(With Arizona Winter School 2008 project group) Journal of Number Theory 129 (2009) 1464-1467.

*Patching and modularity*PDF

Notes on patching via an explicit modularity theorem.

*Modular forms and Fermat's Last Theorem*PDF

Introduction to Wiles' proof on Fermat Last Theorem in Chinese.

*Deformations of ¦Ð-divisible O-modules via O-displays*PDF

Long version of the part on deformations of the paper*On ¦Ð-divisible O-modules over fields of characteristic p.*

*A character theory for projective representations of finite groups*PDF

Long version of the paper with the same title.

*On the rings of projective characters of abelian groups and dihedral groups*PDF

(With Fu Ji) Notes on projective representations of abelian groups and dihedral groups.

*A short note on the Breuil-M¨¦zard conjecture*PDF

(With Hendrik Verhoek) Lecture notes of two talks given by the authors at Workshop Around the Breuil-M¨¦zard Conjecture.

*Mod p representations of local division algebras over p-adic fields*PDF

Some computation on mod p representations of division algebras.

- MathSciNet

- arXiv
- Mathoverflow and excellent answers on Mathoverflow by Matthew Emerton.