Exhibitions with titles appended "in Britain" or "and Britain" tend to be the kiss of death: indicating concentration on a brief and insignificant visit, on the subject’s impact on British art or – even worse – the influence of local collectors on his or her reputation. With Mark Rothko, though, it has to be different. The New York abstractionist’s current near-sacred status is such that a show of his dog-ends and nail clippings would probably prove a major draw.

In Düsseldorf in the 1970s there was an astonishing art academy, the Kunstakademie, with amazing teachers – and amazing students. Düsseldorf was a proud art city, and published at the time a book of photographs called Düsseldorf City of Artists. The presence of that great messianic leader Joseph Beuys loomed large. Gerhard Richter (and Gotthard Graubner among others) taught painting, and an outstanding couple, Bernd and Hilla Becher, taught photography and photographed anonymous industrial architecture in black and white. Germany rejoined and even led the avant-garde that it had destroyed in the 1930s.

It owns almost twice as many artworks as the Arts Council, and two-thirds of its 13,500-strong hoard is on display at any given time, yet it’s a collection the public never usually gets to see. Since its foundation in 1898, the Government Art Collection has been purchasing work by British artists not for the nation, but to hang exclusively in the corridors of power, from Downing Street to the British consulate’s office in Azerbaijan. Perhaps, in these cost-cutting times, it now feels impelled to justify its existence to the taxpayer by giving it a taster of its work – though, in all probability, the British taxpayer was probably unaware of its existence till now.

Fred Sandback is one of the great overlooked of the Minimalist movement that developed in the 1960s. Both those words are important – “great” and “overlooked”: his work is genuinely great, and part of its greatness is the way it has overlooking built into it.

What a troubled life Alice Neel led. The death of her first child, a daughter, who died of diphtheria in 1928  just before her first birthday; another daughter lost to her estranged husband’s family in Cuba two years later (as an adult and a mother herself, the daughter, Isabetta, committed suicide); life as a single mother raising two later sons on welfare in the slum district of New York's Spanish Harlem; and a neglected but always diligent artist for much of the rest of it, only achieving fame and acclaim towards the end.