I come not to praise Jamie but to Shovl'im… Jamie Shovlin's new show of covers for unpublished books in the Fontana Modern Masters series would seem to have everything for the viewer who prides himself on his good taste: serialism, mathematics, intellectuals, paint applied by the artist himself. The shame is that it's all a hoax, and not in the manner of Shovlin's earlier projects concerned with fictional people: the maths is cod, the belief absent - even the pauses for thought are artificial.

The Jerwood Gallery on Stade beach in Hastings has so far had a fraught if very short history. Local opposition, largely from the neighbouring fishing community, have campaigned relentlessly against the gallery, fearing that it would ruin the Stade's rustic charm and bring little or no benefit to most locals. There's negative graffiti among the huts surrounding the Jerwood and a bright orange "NO to Jerwood" banner still hangs on one of the iconic black “net shop” towers beside the gallery, fully visible from the gallery's foyer.

He was uncompromising, honest, personal. He didn't like doing what he was told. He never followed fashion. Is this an accurate picture of Lucian Freud, or is it a description of almost every great artist who ever lived? The intensely banal voiceover for Lucian Freud: Painted Life on BBC Two which contained these insights (at least in the rough cut I viewed) made it seem like a painter out on his own, stringent in his artistic pursuit, was something we had never seen before. Thankfully the talking heads, intimates of Freud, created a properly personal portrait.

Yayoi Kusama, one of Japan’s best-known living artists, has spent the past 34 years as a voluntary in-patient in a psychiatric hospital in Tokyo. Now 82, she was part of the New York avant-garde art scene of the Sixties, making work that anticipated both Andy Warhol’s repeated-motif “Cow Wallpaper” and Claes Oldenburg’s soft sculptures. Her nude happenings included orgies and naked gay weddings, over which she presided fully clothed like a psychedelic high priestess.

Sitting for Lucian Freud was quite a commitment. Unlike Hockney, whom he painted and who painted him, Freud was a very slow painter and he was methodical. Paying close attention to detail and absorbed by different textures, he was intent on building up surfaces meticulously, layer upon layer. This meant that sessions would usually go on for several months, sometimes years.

Turner and the Elements is a visual joy and an intellectual pleasure. The backbone of the selection is Turner’s genuine engagement with the scientists of the day. The argument is that he amalgamated the traditional segregation of the elements – earth, air, fire and water – into a fusion of all four; that technically, instead of schematic compositions divided into discernable sections and monocular viewpoints, he painted, so to speak, from the centre out.

These are, we are told, David Hockney's landscape works, and in that they depict the outdoors - early Grand Canyons and LA scenes, Yorkshire from the Nineties to now - that is correct. As a description, however, it comes nowhere near encapsulating the mystical, profound, plain beautiful pictures presented at the Royal Academy.

Featuring over 100 galleries specialising in modern and contemporary British art, the London Art Fair is a January highlight for those who prefer a more relaxed atmosphere to that offered by the international VIP frenzy of Frieze. From the great names of the 20th century to leading contemporary artists and emerging talent, the fair offers a tantalising showcase on a huge variety of British art.

Last year, like every year, is a bit of a blur. I saw a lot, but all the good stuff seems to have clustered near the end. Maybe an end-of-year cultural bloat has finally settled. Anyway, to help jog the memory, I think I should start bottom-up. 

Graham Sutherland and George Shaw have two things in common. They are both painters and both are associated with Coventry: Sutherland made his famous altarpiece work – a tapestry –  for the city’s rebuilt cathedral, while Shaw grew up in Coventry’s Tile Hill, a housing estate that’s become familiar to us through Shaw’s beautiful and melancholy Humbrol enamel oil paintings.