I would sincerely ask for your consideration to apply for a position at your Ph.D. program and continue my studies at your group.
请问老师,我想表达,教授您可以考虑让我读您的PHD项目,这句话有语法和逻辑上的错误吗?如果是我我会写成,I would sincerely ask for your consideration for my applying for a position at your Ph.D. program and continue my studies at your group.