Tech (21-12, 5-7) got its first run in the top of the fifth inning on sophomore Brent Fossum's sacrifice fly to center field.
Tech tied the game in the top of the sixth when Jon Slack scored after Nebraska second baseman Jeff Blevins misplayed the throw trying to tag Scooter Jordan, who singled and then raced to second.
Justin Seely put Nebraska back in the lead with an RBI double down the right field line plating Jeff Blevins from second.
Brown tied the score at 3-3 in the top of the seventh with an RBI single up the middle that plated Bryon Smith who singled earlier in the inning.
Brown added his second RBI of the game in the top of the ninth when he laced a line drive to shallow left field, which scored Smith from and secured Tech's 4-3 victory.
Steve Rowe (4-1) picked up the win for Tech while Waylon Byers (1-1) suffered the loss for Nebraska.