为教师信息表Teacher-info创建一个触发器：男职工年龄不超过60周岁，女职工职称时“教授”的年龄不能超过60岁，其他女职工年龄不能超过55岁。

你可以使用以下SQL语句为表Teacher-info创建一个符合要求的触发器：

CREATE TRIGGER trig_teacher_info_age_check
BEFORE INSERT OR UPDATE ON Teacher-info
FOR EACH ROW
BEGIN
    DECLARE age INT;
    DECLARE title VARCHAR(20);
    DECLARE gender CHAR(1);

    SELECT TIMESTAMPDIFF(YEAR, NEW.birthday, CURDATE()) INTO age;

    SELECT gender, title INTO gender, title FROM Teacher-info WHERE tid = NEW.tid;

    IF gender = 'M' AND age > 60 THEN
        SIGNAL SQLSTATE '45000' SET MESSAGE_TEXT = 'Male teacher cannot be over 60 years old';
    ELSEIF gender = 'F' AND title = '教授' AND age > 60 THEN
        SIGNAL SQLSTATE '45000' SET MESSAGE_TEXT = 'Female professor cannot be over 60 years old';
    ELSEIF gender = 'F' AND age > 55 THEN
        SIGNAL SQLSTATE '45000' SET MESSAGE_TEXT = 'Female teacher cannot be over 55 years old';
    END IF;
END;

这个触发器的含义是：在每次插入或更新Teacher-info表中的记录之前，根据职工的性别和职称检查该记录的年龄是否符合要求。如果不符合，则触发一个SQL异常。

需要注意的是，这个触发器假设表中的每个记录都有tid、gender、birthday和title四个字段。如果你的表结构不同，需要相应地修改SQL语句。