Hello,
I am new to the forum. Let me introduce myself

I'm a Medical Student studying in Europe. I am currently doing rotations in California for the summer and need to get back to Europe for some business.
I would like to ask the forum for advice for the cheapest way to travel from LAX-FRA-Krakow,PL roundtrip last minute. I took this flight roundtrip a month ago, purchased those tickets 2 months in advance and paid $825 from the Lufthansa website. Now the same flight roundtrip is $2000.
Can anyone aid/guide me to find out how to get the same price I paid before or less? I need to go back to Europe from LA in 3 weeks for a period of 6 days. I am student. Does Lufthansa allow last minute standbys on International flights? Can I wait till the last minute and get on a flight for half price or less? I heard of such things, but cannot find any concrete information or explanation on how to do such a thing. \
I would appreciate any suggestions.
Best Regards.