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A roundup of key developments and the latest in-depth coverage of Russia's invasion of Ukraine.

A Russian named Grigory Perelman, is credited with helping solve a famous 100-year-old math problem. Both the problem and the man who solved it are a bit of a puzzle.

Also: Thatchers funeral set for April 17; Kerry and Netanyahu claim progress on Mideast peace; some Plains states getting b buried by spring snow; Louisville men win national basketball championship.

Taking notes from Kanye West and Solange Knowles, Dirty Projectors latest album Lamp Lit Prose is for the bounce back after a breakup.

Sabrina Carpenter was expected to have a massive week. Still, her journey to the top of the album charts was fraught right up to its final moments, as she fended off a furious challenge from rapper Travis Scott.

The rapper's eighth album scored his best-selling debut week ever, but the raw numbers don't tell the whole story of its success. Meanwhile, Shaboozey returns to the top of the songs chart.

This week, country star Ella Langley and rapper Don Toliver hit career milestones on the pop charts.

The latest album by Korean pop group Stray Kids debuted at the top of this week's Billboard 200 chart, and another K-pop sensation, Jimin from BTS, landed at No. 2. Shaboozey keeps the week's top song.

Kickstarter, the crowd-funding site that pairs indie-minded entrepreneurs with online investors, funded more than 18,000 projects in 2012, according to its end-of-year analysis. The site says more than 2.2 million people pledged nearly $320 million, with 17 projects raising more than $1 million.