All week
THE BEST IN PHOTOGRAPHY: The Deutsche Borse Photography Prize is the benchmark of photography as art. The finalists' styles change dramatically every year, and this year is excellent. Deutsche Borse Foundation photography Prize at The Photographers' Gallery, £4 (free before noon), 3 March-11 June
SELFIES AT SEVENTY: See an exhibition featuring the psychedelic oil paintings from Geoff Brunell's first foray into publishing, Selfies At Seventy. Espacio Gallery, free, just turn up, 14-19 March
REFUGEES WELCOME: Who Are We? is a project that explores multiple crises of identity in Britain today, by inviting artists from all around the world to contribute to activities, installations and events. Tate Modern, free, just turn up, 14- 19 March
Monday 13 March
CRINGEWORTHY STORIES: The last thing you want to do after an embarrassing moment is relive it. Well even if you don't want to, here's a chance to share your cringeworthy story at Spark London storytelling evening. Hackney Attic, £4, book ahead, 7pm
Tuesday 14 March
MATHEMATICAL MATERIALS: The materials designed today go far beyond the basic types that humanity grew up with like wood and stone. These new materials are complex and don't always act like the sum of their parts. Professor Chris Budd investigates how maths can hold the answers to these materials. Museum of London, free, just turn up, 1pm-2pm
MICHAEL CAINE BISCUITS: It's Michael Caine's birthday, so to celebrate you can decorate a biscuit with his face. Better get practising your Michael Caine voice. Drink, Shop & Do, free when you buy a drink, just turn up, 7pm
HARRY POTTER QUIZ: Do you know your Hufflepuff from your Pygmy Puffs? This quiz will differentiate the Hermoine Graingers from the Vincent Crabbes. The Book Club, £3/£4, book ahead, 7pm-10.30pm
Wednesday 15 March
HAIRCUT ON THE HOUSE: Ted's Grooming Room in Lancaster Place turns one today, but instead of you giving them a gift, they're offering you one. You can get the 'Cut A Long Story Short' haircut, for free. Ted's Grooming Room, free, just turn up, 9am-6.30pm (first come, first served)
A CAPPELLA: Yale University's a cappella group Something Extra covers every genre from pop to jazz to folk to indie rock in this rare appearance across the pond. The Underdog, £5, just turn up 7.30pm-8.45pm
FREE COMEDY: Every Wednesday night, the Trafalgar Tavern in Greenwich hosts free comedy. The pub has seen William Gladstone and Charles Dickens eat side-by-side, so if the comedy sucks, entertain yourself by thinking about what they might have discussed. Trafalgar Tavern, free, just turn up, 7.30pm-9.30pm
Thursday 16 March
BIRTHDAY BASH: What's better than a normal birthday party? Why, a four day long birthday extravaganza of course. That's what Number 90 Bar & Kitchen is doing, and it all kicks off on Thursday. Expect DJs, bands, art installations, delicious food and creative cocktails. Number 90 Bar & Kitchen, free, just turn up 16-19 March
ASIA HOUSE FAIR: A pop-up bustling and colourful bazaar is how the Asia House Fair describes itself. Thursday is the opening night, with late night shopping and a bar to make sure you really make the most of the experience. Asia House, free, book ahead, 5pm-8.30pm
SOAPBOX SCIENCE: Pay a penny to hear this lecture on the lack of representation of women in science today — did you know that less than 26% of biology lecturers are female? Morley Gallery, 1p, just turn up, 6pm-7.30pm
Friday 17 March
QUANTUM CERAMICS: Theoretical physicist Nadav Drukker makes traditional pottery as an alternative means to communicate his scientific research. We can't help but suspect he ran out of blackboard and continued his crazy scribbling on the closest possible object, but get a closer look at his Quantum Ceramics in this exhibition. Knight Webb Gallery Brixton, free, just turn up, 10am-6pm
FREE FRIDAY CONCERT: Go on a musical journey from Latin America to Spain — via the Middle East and Bulgaria — with John Crawford and his band at the Royal Albert Hall. Verdi Italian Kitchen, free, book ahead, 8pm
Saturday 18 March
YOUR EAST END: What does the East End mean to you? Explore your own and other's opinions on one of London's most diverse areas, at this family friendly festival. Museum of London Docklands, free, just turn up, 18-19 March
CLASSIC CARS: The monthly classic car show and meet up returns to Lower Marsh Market in Waterloo. Admire these beauties, aged like a fine wine. There's a flea market going on in the area at the same time. Lower Marsh Market, free, just turn up, noon-4pm
CAKE DECORATING: Join Great British Bake Off alumnus Flora Sheddon as she demonstrates how to beautifully decorate a cake. St Barnabas Church, Dulwich, free, book ahead, 2pm
FUNNY ARCHAEOLOGIST: Ask an archaeologist whatever random questions you have on digging up the past and they'll answer them as honestly as possibly — often with hilarious results. Queen of Hoxton, £5, book ahead, 3pm-4pm
Sunday 19 March
ST PATRICK'S DAY: There's the parade in Trafalgar Square as always, but there's so much more happening this year. Hop over to our guide for everything you need to know about St Patrick's Day in London.
SPRING MARKET: Spend your Sunday enjoying wine, craft beer and scrumptious food, and doing a touch of shopping. It's a collaboration from Burgess & Hall Wines, The Wanstead Tap and E7 Craft Collective. The Wanstead Tap, free, just turn up, noon-6pm