Hilma Af Klint, Serpentine Gallery

HILMA AF KLINT, SERPENTINE GALLERY A pioneer of abstraction rescued from obscurity

A pioneer of abstraction rescued from obscurity

Celebrating the four ages of man, eight huge, semi-abstract paintings create a carnival atmosphere in the Serpentine’s central gallery. The freshness of Childhood is characterised by flowers, petals and stamens floating on a blue ground. The passions of Youth warrant a ground of hot orange crammed with circles and spirals jostling for space like amoeba in a petrie dish. Adulthood is dominated by a large, yellow gourd-like shape on a lavender ground; dancing in attendance are looping letters and clover-leaf swirls.

The Gap: Selected Abstract Art from Belgium, Parasol Unit

THE GAP: SELECTED ABSTRACT ART FROM BELGIUM, PARASOL UNIT Luc Tuymans brings an artist's eye to a survey of two generations of Belgian artists

Luc Tuymans brings an artist's eye to a survey of two generations of Belgian artists

From its title, you could be misled into dismissing this show as narrow and self-referential: a small exhibition in a small gallery curated by a Belgian artist concerned only with his own countrymen. In fact, it is something of a survey, featuring works with influences that range from Piet Mondrian, Ad Reinhardt and Lucio Fontana, to the Color Field painters.

Barbara Hepworth, Tate Britain

BARBARA HEPWORTH, TATE BRITAIN Long-awaited retrospective liberates the sculptor from Henry Moore association

Long-awaited retrospective liberates the sculptor from Henry Moore association

One of the earliest surviving sculptures by Barbara Hepworth is a toad made from a khaki-coloured, translucent stone; you can imagine it cool and heavy in your hand, not so very different from the animal itself, in fact. Made nearly 30 years later, the monumental sculptures carved from African guarea wood are almost unbearably touchable, each one with its dark, glossy exterior cracked open to reveal an inside as creamy as a conker. But while we are denied the pleasure of touching these objects, looking at Hepworth’s work is in itself a gloriously tactile experience.

Philip Guston, Timothy Taylor Gallery

PHILIP GUSTON, TIMOTHY TAYLOR GALLERY Small but powerful survey of the American artist's late figurative paintings

Small but powerful survey of the American artist's late figurative paintings

Light. Light banishes the shadows where monsters lurk and where ghosts rattle their chains. “Give me some light, away!” cries the usurping king in Hamlet as his murderous deed is exposed by the trickery of art. What guilt plagues and seizes his conscience, and yet Claudius, conflicted, cannot pray. He must, therefore, remain a captive among the ghosts and the monsters where no light may fall.

Sonia Delaunay, Tate Modern

SONIA DELAUNAY, TATE MODERN Eclipsed by her painter husband, the artist is finally receiving full recognition

Eclipsed by her painter husband, the artist is finally receiving full recognition

In 1967 when she produced Syncopated Rhythm (main picture), Sonia Delaunay was 82; far from any decline in energy or ambition, the abstract painting shows her in a relaxed and playful mood. Known as The Black Snake for the sinuous black and white curves dominating the left hand side, this huge, two and a half metre wide canvas is deliciously varied.

YZ Kami, Gagosian Gallery

YZ KAMI, GAGOSIAN GALLERY Hypnotically arresting portrait and abstract paintings that play with variation and repetition

Hypnotically arresting portrait and abstract paintings that play with variation and repetition

The Iranian-born New York resident painter YZ Kami, now in his mid-fifties, continually plays with our hunger to look at “reality” while being seduced by abstraction and repetition. In 17 canvases, painted over the past two years, Kami explores two distinct and recognisable styles or idioms that however much in common they have with contemporary concerns he has made his own. The results are both powerful and pleasurable. 

Sotto Voce, Dominique Lévy

SOTTO VOCE, DOMINIQUE LEVY With seductive holes and nails hammered in aggressively, white is not as pure as it pretends

With seductive holes and nails hammered in aggressively, white is not as pure as it pretends

Sotto Voce is a collection of white paintings, sculptures and reliefs made by European, British and North and South American artists from the 1930s to 1970s. An accompanying book explains why this non-colour has appealed to so many artists in so many countries over such a long period of time.

Kraftwerk: Pop Art, BBC Four

KRAFTWERK: POP ART, BBC FOUR Kraftwerk go under the microscope for this portrait of the artists

Kraftwerk go under the microscope for this portrait of the artists

Some documentaries can feel like trying to view a desert landscape through a telescope. The need for tight focus on too large a subject can leave you constantly aware that there’s important stuff going on out of eyeshot. The stuff you can’t see becomes a constant irritant, like a pending tax return, or David Starkey. Kraftwerk: Pop Art, in significantly narrowing its focus, was more like studying a Petri dish under a microscope – and just as fascinating.

Adventures of the Black Square: Abstract Art and Society 1915-2015, Whitechapel Gallery

An exhibition about how geometric abstraction took over the world loses the plot

From an apparently simple idea stems a very confusing exhibition. Here’s the idea: taking the seminal black square painted by Russian artist Kazimir Malevich as its starting point – in fact, a rectangle, with the small and undated Black Quadrilateral the first of three Malevich paintings – we are invited, over the span of a century and across a number of continents, to explore the evolution of geometric abstraction and its relation to “ideas of utopia”.  

Anthony Caro: The Last Sculptures, Annely Juda

ANTHONY CARO: THE LAST SCULPTURES, ANNELY JUDA New formulations and materials preoccupied the late sculptor to the end

New formulations and materials preoccupied the late sculptor to the end

Late Titian, Late Rembrandt, Late Picasso, Late Matisse…. What is it with Late that seems to give some artists a Golden Age irradiated by a kind of sublime carelessness, a genuine sense of anything goes? A life spent learning means that in the end it might be worn lightly and the imagination set free. Of course, such a sublime coda is not given to all, as many an artist descends into self-parody, rather than ascending into a kind of upward free-fall.