Algorithmic and Quantitative Trading Internship Firms?

I'm looking for internship opportunities in algorithmic and quantitative trading for next summer. I'm a rising sophomore, pursuing a math and computer science major with around a 3.97 GPA, at a university considered to be on par with the ivy league. The school has a solid amount of wall street recruitment, but its mostly consulting and investment banking, rather than trading. The list of companies offering internships that I put together so far to investigate is below. Are there any suggestions you have to modify this list?

Hedge Fund:
-AQR
-Bridgewater Associates
-Citadel
-DE Shaw
-QVT
-SIG
-Two Sigma
-Tower Research

Prop Trading:
-Chopper Trading
-DRW
-Jane Street
-Nico Trading
-Spot Trading
-Wolverine Trading

Some others that are interesting, but I have no information on whether they have internships or not:
KCG (Getco and Knight Capital merged)
Jump Trading
TransMarket Group

Thanks for the help!

 

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