Bauer studied at the University of California at Berkeley and was elected to the best selection of All-American. In 1981, he celebrated his first two doubles titles on the ATP World Tour. The following year he won his first singles title in Bangkok. A second title he won in Adelaide, he was able to defend it in the year. In 1983 he won also two more doubles titles, including the Tournament of Sydney, which he won at the side of Pat Cash. The following year, he was in the single three times in a semifinal and doubles finals of the tournament in Melbourne. There was a long dry spell in builder career, as a result, he moved to the ATP Challenger Tour, where he played mainly to the early 1990s. He could win on the Challenger Tour no titles, but achieved including the singles final of Berkeley and Bloemfontein. In this time were his twin partners, including Luke Jensen, Udo Riglewski and Alexander Mronz.
In 1992 he succeeded for the first time in nearly a decade back a tournament success when he won the doubles title of Tel Aviv. 1993 followed by two more doubles titles. In addition, he stood with different partners in four other finals, including at the Gerry Weber Open with Marc -Kevin Goellner and in Vienna with David Prinosil. His last title he won in 1994 on the side of David Rikl again in Vienna against Greg Rusedski and the local hero Alexander Antonitsch.
Overall, he won nine ATP doubles titles during his career. Another six times he stood in a double finals. Its highest listing in the tennis world ranking he reached in 1984 with position 29 in the singles and 1983 with position 25 in doubles.
His best individual result at a Grand Slam tournament was the third round participation at Wimbledon in 1983, where he was the eventual finalists Chris Lewis inferior. In the doubles competition, he reached the quarter finals of the Australian Open, the French Open and the U.S. Open.