This is a very interesting question and I will try to help you answer it. In February 1944, Levi was deported to Auschwitz. Reading his book The Periodic Table will help you to begin to understand the horrors that Levi had to experience there and how his time in Auschwitz influenced his later view of life.
Levi finally returned home to Turin in 1945. He initially had to spend a significant amount of time recovering physically from his time of mistreatment and malnutrition in Auschwitz. In order to deal with his experiences emotionally, he started to speak and to write poetry about his time in Auschwitz. His experiences in Auschwitz, such as the need for survival, helped Levi to become a much stronger person. He was very resilient and refused to give up. For example, his first book was turned down by many publishers, but Levi kept on trying until he finally found a publisher who accepted If This Is a Man in 1947. In fact, you could even go as far as saying that it was his time in Auschwitz that turned him into a successful writer. Levi dealt with his trauma by writing his experiences down.
Upon his return to Italy, Levi found himself work in a paint factory in order to earn money. Later, he started a chemical business with a friend. He also got married and had children. In order to be able to provide for his family, Levi started to work for SIVA, a chemical factory. All through this time, Levi continued writing and publishing his work. Eventually, he decided to become a full-time writer and stopped working.
Levi died in 1987 following a fall from a landing on the third floor. This was ruled to have been suicide, and you might want to point out that this was not surprising. Throughout his life after Auschwitz, Levi had carried a feeling of despair.
In your answer, you should point out that Levi always tried to remain positive on the outside. On the inside, however, his view of the world was bleak and sad. Because of his struggle for survival in Auschwitz, Levi is said to have found it very difficult to speak openly about his emotions. There were indications that he suffered from depression; his experiences in Auschwitz massively impacted his view on emotions. He was reported to have been a very private man who “found private, emotional life impossibly hard.”