Giacometti, National Portrait Gallery

GIACOMETTI, NATIONAL PORTRAIT GALLERY A lifetime of portraiture reveals a secret double life

A lifetime of portraiture reveals a secret double life

Any number of puzzling and fantastical stories were told by Alberto Giacometti in the construction of a personal mythology that helped secure his reputation as an archetypal artist of the avant-garde. Less heroic than the oft-quoted accounts of his transformative, visionary experiences, the story of his return to Paris after the Second World War is no less poignant, nor significant for all that. Having stowed his most recent works under the floorboards, Giacometti left his studio in 1941 returning four years later to find it – miraculously – just as he had left it.

Peter Lanyon, Courtauld Gallery

PETER LANYON, COURTAULD GALLERY Glorious and dynamic: the great postwar English artist's gliding paintings

Glorious and dynamic: the great postwar English artist's gliding paintings

Free as air, but there was a very heavy price to pay for his ecstatic exploration of the sky by the Cornwall painter Peter Lanyon, who died in 1964, aged just 46, as a result of injuries received in a gliding accident. 

The Courtauld Gallery is known for its series of original, incisive, acute and intense exhibitions taking a sharply focused view of one aspect of an artist’s work. Often these provide a revelation and so it is here.

Risk, Turner Contemporary

RISK, TURNER CONTEMPORARY An exhibition that interprets its theme far too widely, but there's still plenty to enjoy

An exhibition that interprets its theme far too widely, but there's still plenty to enjoy

Yves Klein staged a photo of himself, in November 1960, swallow-diving into the air from a first floor window, arms outstretched like a bird. Leap into the Void was faked – the friends waiting with a tarpaulin on the pavement below were montaged out of the final picture – but such was the appetite for heroism that the image soon became emblematic of the superhero risking all for his art. 

Jimmie Durham, Serpentine Gallery

JIMMIE DURHAM, SERPENTINE GALLERY The American artist who casts a quizzical eye over everything we hold dear

The American artist who casts a quizzical eye over everything we hold dear

The first thing you encounter is a ballot box bolted to the lid of a school desk; what or whom you might be voting for – apart from the hope of change – is not specified. In the eyes of Jimmie Durham, change is badly needed; in fact, most of the premises on which western society is built could do with a radical rethink. Judging by the state of the box, though – the lid looks as if it has been prized open and bolted down many times – fair and free elections seem unlikely. Mostly probably, the outcome would be rigged.

Frank Auerbach, Tate Britain

FRANK AUERBACH, TATE BRITAIN Rough and vivid, these paintings are the opposite of idealised, but nonetheless seductive

Rough and vivid, these paintings are the opposite of idealised, but nonetheless seductive

A finely honed and spacious selection dating from the 1950s to now, looks in acute focus at the work – a scatter of drawings, a print, but almost entirely paintings – of Frank Auerbach, (b 1931). An only child, he came without his family, from Berlin to England in 1939. His parents were murdered in the Holocaust. He is now one of the most remarkable painters of our time.

Goya: The Portraits, National Gallery

GOYA: THE PORTRAITS, NATIONAL GALLERY Closing January 10, last chance to catch a great exhibition

So much drama and emotion - an exhibition that pulses with life

The brute nature of man in times of war, religious persecution and hypocrisy, and the destructive power of superstition. Francisco de Goya’s fame today largely rests on such themes, and they go a long way to explain just why he’s often considered the first modern artist. 

Turner Prize 2015, Tramway, Glasgow

TURNER PRIZE 2015, TRAMWAY, GLASGOW Will the house renovators win? Or is it the Turner Prize that needs a makeover?

Will the house renovators win? Or is it the Turner Prize that needs a makeover?

What’s going on? It seems the Turner Prize judges not only ran out of Scots to nominate this year, but actual artists. The socially enterprising architect-design collective Assemble don’t even call themselves artists so what must they make of the novelty of being shortlisted for the UK’s premier contemporary art prize? I’ve no doubt they’re delighted, especially since they appear favourites to win, but what a turn up.  

Ben Rivers: Earth Needs More Magicians, Camden Arts Centre

BEN RIVERS: EARTH NEEDS MORE MAGICIANS, CAMDEN ARTS CENTRE Where does freedom lie? Beautiful films that suggest ways to escape the humdrum life

Where does freedom lie? Beautiful films that suggest ways to escape the humdrum life

Filmmaker Ben Rivers is drawn to outsiders and misfits, people who prefer solitude over society and live in shacks in the sticks rather than bungalows in the suburbs. Living in the Kent cottage she shared with her painter husband Roy Oxlade until his death last year, Rose Wylie hardly fits the bill; yet one can see why Rivers was drawn to her. In his disarming film, What Means Something, 2015 (main picture) she comes across as a genuine eccentric, ploughing her own furrow.

Ai Weiwei, Royal Academy

AI WEIWEI, ROYAL ACADEMY The Chinese activist is more powerful as a symbol of dissidence than as an artist

The Chinese activist is more powerful as a symbol of dissidence than as an artist

Ai Weiwei’s first major survey in the UK is a better looking exhibition than I had anticipated, but what it gains in looks it sadly lacks in substance – backstory and information not being quite the same.

The World Goes Pop, Tate Modern

THE WORLD GOES POP, TATE MODERN The boundaries of Pop art redrawn in a compelling global account

The boundaries of Pop art redrawn in a compelling global account

There’s no sign of Oldenburg, Warhol or Lichtenstein and British pioneers Eduardo Paolozzi and Peter Blake are notably absent from this gritty vision of Pop art. Only in the final room do we come face-to-face with a Campbell’s Tomato Soup tin, the comforting bright colours and clean, supermarket-aisle lines blackened, singed and fragmented as if salvaged from some unimaginable disaster.