基本信息 陈昌昊 教授


联系方式 地址：理工H楼（数学楼）408室
电话：
邮件：chench@ahu.edu.cn



个人简介 陈昌昊，男，博士，特任教授
教育经历：
2012-2016，芬兰奥卢大学，博士，导师：Ville Suomala 副教授
2009-2012，湖北大学，硕士，导师：文胜友教授
2005-2009，湖北大学，本科
工作经历：
2021.01-至今，安徽大学数学科学学院，特任教授
2020.01-2020.12，香港中文大学，博士后，合作导师：丰德军教授
2018.03-2019.12，新南威尔士大学，博士后，合作导师：Igor Shparlinski 教授
2016.10-2018.03，新南威尔士大学，博士后，合作导师：Catherine Greenhill教授

主要研究方向 分形几何，主要研究包括随机Cantor集的结构、分形集的正交投影、Weyl和例外集的结构、以及连续型问题的有限域版本

教学情况 2021.02-2021.06 初等数论
2020.01-2020.05 微积分
2015.09-2015.12 实分析助教
2009.09-2009.12 高等数学助教

科研情况 主要从事分形几何及其相关领域的研究，具体研究课题包括随机Cantor集的结构、分形集的正交投影、Weyl和例外集的结构、以及连续型问题的有限域版本。已在 Adv. Math、Intern. Math. Res. Notices、Quart. J. Math、 J. Number Theory、Proc. Amer. Math. Soc等期刊发表论文20余篇。
已发表或接受论文：
[24] C. Chen. Self-similar sets with super-exponential close cylinders, Ann. Acad. Sci. Fenn. Math, (accepted).

[23] C. Chen and I. E. Shparlinski. Restricted mean value theorems and metric theory of restricted Weyl sums, Quart. J. Math, (accepted).

[22] C. Chen and I. E. Shparlinski. Hybrid bounds on two-parametric family Weyl sums along smooth curves, Michigan Math J, (accepted).

[21] C. Chen and I. E. Shparlinski. On a Hybrid Version of the Vinogradov Mean Value Theorem, Acta Math. Hungar, (accepted).

[20] C. Chen and C. Greenhill. Threshold functions for patterns in random subsets of finite vector spaces, Journal of Combinatorics, 12 (2021), 157-183.

[19]C. Chen, X. Wang and S. Wen. On uniform distribution of alpha beta-orbits, J. Number Theory, 219 (2021), 386-403.

[18] C. Chen and I. E. Shparlinski. Small values of Weyl sums, J. Math. Anal. Appl, 495 (2021), 24743.

[17] C. Chen and I. E. Shparlinski,On large values of Weyl sums,Adv. Math, 370 (2020), 107216.

[16] C. Chen and I. E. Shparlinski, Hausdorff dimension of the large valuesof Weyl sums, J. Number Theory, 214 (2020),27--37.

[15] C. Chen. Finite field analogue of restriction theorem for general measures, Finite Fields and Their Appl, 63 (2020), 101642.

[14] C. Chen, M. Wu and W. Wu. Accessible values of Assouad and the lower dimensions of subsets,Real Anal. Exchange,45 (2020), 85--100.

[13] C. Chen. Discretized sum-product for large sets, Mosc. J. Comb. Number Theory, 9 (2020), 17--27.

[12] C. Chen and I. E. Shparlinski, New bounds of Weyl sums, Intern. Math. Res. Notices, (2019), 3112--3126

[11] C. Chen and S. Wen. On thin carpets for doubling measures, Proc. Amer. Math. Soc,147 (2019), 3439--3449.

[10] C. Chen, Bryce Kerr and Ali Mohammadi. A new sum-product estimate in prime fields, Bull. Aust. Math. Soc,100 (2019), 268--280.

[9] C. Chen. Restricted families of projections and random subspaces,Real Anal. Exchange, 43 (2018), 347--358.

[8] C. Chen. Salem sets in vector spaces over finite fields, Ark. Mat, 56 (2018), 45--52.

[7] C. Chen. Projections in vector spaces over finite fields, Ann. Acad. Sci. Fenn. Math, 43 (2018), 171--185.

[6] C. Chen. A class of random Cantor sets, Real Anal. Exchange,42 (2017), 79--120.

[5] C. Chen, T. Ojala, E. Rossi and V. Suomala. Fractal percolation, porosity, and dimension, J. Theoret. Probab, 30 (2017), 1471--1498

[4] C. Chen. Distribution of random Cantor sets on tubes, Ark. Mat, 54 (2016), 39--54.

[3] C. Chen and E. Rossi. Locally rich compact sets, Illinois J. Math, 58 (2014), 779--806.

[2] C. Chen, H. Koivusalo, B. Li and V. Suomala. Projections of random covering sets, J. Fractal Geom,1 (2014), 449--467.

[1] C. Chen and S. Wen. Factorization of delta-monotone linear mappings, Linear Algebra and its Applications, 435 (2011), 2087--2095.

已投稿论文：
C. Chen, B. Kerr, J. Maynard and I. E. Shparlinski, Metric theory of Weyl sums,available at arxiv.org/abs/2011.09306.
主要荣誉：
2014／2016年，获芬兰博士基金，Vilho,Yrjo,andKalleVaisalafoundation
2013年，获新世界数学奖，硕士论文银奖