In January 2021, Schoolkate made the second round of the 2021 Australian Open – Men's singles qualifying, losing to Bernard Tomic.

241 at the 2024 Guangzhou International, Schoolkate defeated compatriot and third seed Adam Walton to lift his first Challenger singles trophy.

193, for his Grand Slam debut, he received a wildcard for the 2024 US Open and defeated Taro Daniel in five sets, recording his first Major win.

[15] He also received a main draw wildcard for the 2025 Australian Open for his debut at his home Slam and again defeated Taro Daniel, this time in four sets.

[18] Schoolkate won his second Challenger title at the 2025 Queensland International, defeating Marek Gengel in the final in straight sets.

[19] Only main-draw results in ATP Tour, Grand Slam tournaments, Davis Cup and Olympic Games are included in win–loss records.