Katrina Lake is the founder and CEO of Stitch Fix. And as of today, at 34 years old, she is probably the youngest woman to take her company public – ever.  

Stitch Fix is a San Francisco company that combines data-crunching computers with human stylists on a mission to send you the perfect outfit. On Friday the company went public on the Nasdaq stock market at a market value of more than $1 billion, and I was there for CNBC, covering the remarkable story. 

Katrina Lake sat down with me at the Nasdaq in Times Square minutes after shares of Stitch Fix started trading for the first time – you can hear the buzz of Stitch Fix employees and customers in the background as we talk.

The first part of our conversation was live on CNBC's Squawk Alley, which I co-anchor weekdays on the network. She took some time after that portion to talk more about how she developed the idea for the company, why she still works as a stylist on the platform, and why the story of how she overcame sexual harassment from an investor is especially resonant today.