Diploma, Eötvös University, Budapest, 1964. Doctor of Philosophy, Eötvös University, 1968. Kandidatus, Hungarian Academy of Sciences, Budapest, 1972.
Doctor of Academy, Hungarian Academy of Sciences, 1981.
Since then, this method has become a powerful tool in proving many interesting results in extremal set theory. He is affiliated with the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences. Katona was secretary-general of the János Bolyai Mathematical Society from 1990 to 1996.
In 2011 the Alfréd Rényi Institute, the János Bolyai Society and the Hungarian Academy of Sciences organized a conference in honor of Katona"s 70th birthday.
H. Katona is the father of Gyula Y. Katona, another Hungarian mathematician with similar research interests to those of his father.
Member of Bolyai Mathematics Society Budapest (secretary-general 1990-1996, Szele medal 1993).
Married Ildikó Virág, April 30, 1964. Children: Gyula Y., Zsolt.