Sydney -Matt Jones joined an elite few by winning his second Australian Open on Sunday, resisting big pressure on the back nine from South African Louis Oosthuizen to clinch victory by a shot.
Ieremia closed with back-to-back even-par rounds of 71 to finish the Australian Open tied for fifth on eight-under, seven shots behind local victor Matt Jones.
The 39-year-old started the final round with a three-shot lead and never relinquished his lead, with a two-under 69 enough to secure the Stonehaven Cup again and qualify for The Open for a third time.
There was late drama when Oosthuizen finished with an eagle to draw within a shot of the lead but Jones, despite finding a bunker from the 18th tee, held his nerve to nail a five-foot par putt on the final green and secure the title.
Victor of the Australian Open in 2015, Australian golfer Jones entered the final day with a three-shot advantage.
Queenslander Aaron Pike (69) also punched his ticket to the 2020 Open after sharing third spot with Japanese amateur Takumi Kanaya (71).
"I've played in maybe five British Opens, and it's the one major I would most like to win", Jones said. "To be able to do that and plan a schedule around that, will be fantastic".
Jones, Kanaya and Pike qualified for next year's British Open by finishing among the top three who were not already qualified.
Ieremia, who only turned pro previous year after graduating from Iowa State University, finished in a five-way tie for fifth alongside Englishman Paul Casey who closed with 72.
"It's incredible, if there is one Major I would like to win it is [The Open]", said Jones, who played at Royal Troon in 2016 and at Carnoustie in 2018.
"I am going to try and watch The Open when it was played at Royal St George's because I can't remember the golf course".
Among others in the field who now head to Royal Melbourne to play with the worldwide team at the Presidents Cup, Marc Leishman hit a 71 to end eight behind Jones and fellow Australian Cameron Smith was five further back.