Phyllis and Deedee. Buenos Aires, Argentina

Alessandra Sanguinetti: ‘I have two homes. One is my childhood home in Buenos Aires. The hallways, rooms and objects are in the same exact place they’ve been in for 40 years. The work isn’t a reflection of my childhood, which was a happy one, but more of a goodbye to it and a beginning to come to terms with so many years already gone by and my parents being vulnerable. Looking at them and the apartment I grew up in as it is now, with all its remnants of the past intact, except for the traces of time etched on skin and surfaces.’

Daddy’s shoes. Buenos Aires, Argentina

Abel, the nightwatchman. Buenos Aires, Argentina

Norway, 2017

Jonas Bendiksen: ‘These are some of the most important pictures I’ll ever take – but not because they are necessarily very interesting for others to see. This summer, when Bille arrived and Boe went from being our little baby to being a big sister, is one that I will never forget. I wonder what it will be like looking at them in 20 years. This time capsule from when Anna and I were young, and the kids were just two bundles of limitless potential.’

Norway, 2017

The photographer’s home, 2017

Gueorgui Pinkhassov: ‘This is my home. I spent my childhood here. Went to university. My parents lived here. Our relatives came to visit. And our neighbours. This is a place of my childhood and my youth. My paternal home, so to speak. This is my home. My apartment. The crossroads of my memory.’

Wedding pictures of the family around my mother-in-law’s TV set, showing Turkish TV serials

Thomas Dworzak: ‘My whole life in a way has been conditioned by the rejection and search for heimat. Growing up in a small Bavarian town near the Iron Curtain called Cham, as the son of a father who was deported from Czechoslovakia, all I wanted to do was get out of what I felt to be an unbearably stifling world of Catholicism, provincialism, order and calm.’

Ms Zhu (centre) arrived in New York from Fuzhou, China, with her family in 2008. She got married three years later and visits her grandmother in a Bowery apartment with her two children every weekend

Chien-Chi Chang: ‘Immigration is propelled by suffering. Hope, too, propels immigrants to settle in strange lands. I should know: I am one myself. The compelling quality of this project is its universality. It is about the essential human need to hold hope in your hands and about having the willingness to sacrifice one’s own immediate happiness to realise the dream of giving children a better life.’

Scicli, Italy

Alex Majoli: ‘Where are my books, my music? Where should I relocate the piano? Actually I should really close the electric contract in that house before it falls apart. Another eviction notice for the loft. There is a beautiful land shaped with rocks and olive trees, I see myself there, could that be the one? Where should I store my archive? There’s no time to figure all these things out and it’s too hot now, I’ll wait for the sun to give me a break. What a bastard who cut down our cherry tree. Home, home, home … what a mess.’

Scicli, Italy

Daria and Uma in bed, Scicli, Italy

Family life, London, 2017

Olivia Arthur: ‘Home for me has always been about family. Growing up we moved house every few years. There was no particular place that held all my childhood memories together. But there was family, and importantly my siblings, of which I have three. We were, and continue to be, extremely close. Now I have a family of my own, with my husband, our daughter Thea and our second child, who was on her way when I was making these pictures. As we all looked forward to her arrival, there was also suspense in not knowing how it would change things in our family.’

A photograph of my cousin Patty hangs on a wall in the living room of my family’s house in Callao, Peru. Patty emigrated to the USA more than 10 years ago.

Moises Saman: ‘Home and identity have always been elusive concepts for me. I was born in Lima, and I come from a mixed Peruvian and Catalan family that settled in Spain soon after my birth. I remember struggling to fit in at home and in school, and being wholly uninterested in my Peruvian roots.’

Brighton, September 2017

Mark Power: ‘In September our daughter Chilli left home to study for a degree in fine art. To be honest, it was the last subject I wanted to tackle, but the fact that the deadline for this work coincided exactly with the very day she was to leave suggested I had no alternative. But if I was going to do it, my family agreed, then it was essential we were all open and honest, and would proceed without embarrassment. As a postscript, life here in Brighton has since returned to relative normality and Chilli is flourishing at university. She is already calling London home.’

Brighton, September 2017

• The photobook of the project can be ordered from shop.magnumphotos.com. Further information on the project and international exhibitions is available on home-magnum.com