Webster University undeniably takes first place.
But I would like to know more American universities and colleges which have a big chess club.
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The top four US college chess schools participate in the Final Four of College Chess. This year's (2015) participants were Webster University, the University of Texas at Dallas, Texas Tech University, and the University of Maryland, Baltimore County. Especially, the University of Texas at Dallas and the University of Maryland, Baltimore County, have consistently had very good results in the Pan American Intercollegiate Team Chess Championship in the last ten to fifteen years.
You can find other college chess clubs at the site of the USCF.