mySql trigger not working as intended - mysql

Question

I have 2 tables set up with a trigger, such that an insertion upon one table, will trigger an increment in the column of the second table at the same primary key (as both tables a linked by a foreign key), however at the moment the increment only once, then it does not increment for any subsequent insertions. My thinking is that it's probably with the way I set up the keys but I'm unsure, could someone please shed some light on this:
CREATE TABLE Members(
ID INT UNSIGNED NOT NULL AUTO_INCREMENT UNIQUE,
FIRST_NAME TEXT(16),
LAST_NAME TEXT(16),
TITLE TEXT(7), /** 7 CHARS for 'Student'*/
INSTITUTION VARCHAR(2048),
No_Publications INT NOT NULL,
PRIMARY KEY(ID)
);
CREATE TABLE Papers(
ISBN INT UNSIGNED NOT NULL UNIQUE,
Title TEXT(4),
Publish_Date DATE NOT NULL,
Topic TEXT(128),
PRIMARY KEY(ISBN)
);
CREATE TABLE Publications(
Author_ID INT UNSIGNED NOT NULL UNIQUE,
ISBN INT UNSIGNED NOT NULL UNIQUE,
PRIMARY KEY (Author_ID, ISBN),
FOREIGN KEY(Author_ID) REFERENCES Members(ID) ON DELETE RESTRICT ON UPDATE CASCADE,
FOREIGN KEY(ISBN) REFERENCES Papers(ISBN) ON DELETE RESTRICT ON UPDATE CASCADE /**Used in
many to many relations*/
);
CREATE TRIGGER New_Publication AFTER INSERT ON Publications
FOR EACH ROW
UPDATE Members SET No_Publications = No_Publications + 1
WHERE Members.ID = Publications.Author_ID;
EDIT: I want the No_Publications to increase with insertion upon the publications table
EDIT 2: After implementing the NEW keyword the auto-incrementation now works however now the following occurs:
Upon adding 1 new paper to 1 new member, the paper is registered in the database, however, subsequent additions of papers to the same member are not registered, despite and increment occuring in the members table.
Insertion into the Publications table occurs as a result of the papers table which has been appended above for transparency.

Answer 1

The trigger should be:
CREATE TRIGGER New_Publication AFTER INSERT ON Publications
FOR EACH ROW
UPDATE Members SET No_Publications = No_Publications + 1
WHERE Members.ID = NEW.Author_ID;
Even though his column should be updated also on deletes and having this column goes agains database normalization as you can get this information without having the column so it can be only useful in certain cases to improve performance and avoid counts.