Maths whizz Lily Miyazaki feels like her number has finally come up after qualifying for the US Open.
The Tokyo-born Brit had a wild card for Wimbledon last year, but has now reached the main draw of a grand slam under her own steam for the first time.
Miyazaki, who earned a masters degree in mathematical science in the United States four years ago, beat Slovakia’s Viktoria Hruncakova in the final round of qualifying at Flushing Meadows.
The 27-year-old now has to solve the puzzle of how to get past Russian Margarita Betova on Monday for a first grand slam match win.
“Playing Wimbledon last year was amazing,” said Miyazaki. “But I think that, as a wild card, I don’t know how to explain it, but I don’t know if you truly believe like you belong.
“And I played Caroline Garcia, obviously she’s a pretty good player and I was really nervous going into that match. So hopefully this time I feel like I belong here. So that experience definitely helped me.”
Miyazaki joins Katie Boulter and Jodie Burrage as the British contingent in the women’s draw.
She also shares a coach, Craig Veal, with British number two Burrage, who was in the stands supporting her compatriot.
“For her to qualify, it was killing me,” said Burrage, 24. “When she was one-set all, I had to go to practice and throughout it I was shouting at my physio asking what the score was.
“I was hardly focusing on my practice because I wanted to be there watching her, but it’s so good she has qualified, with me and ‘Boults’ being in the main draw.
“It’s nice when you are friends and you can enjoy success with them and hopefully next week we can do some damage in the main draw. We’ve all got the games to be able to.”
Burrage faces Russian Anna Blinkova on Tuesday, while British number one Boulter meets France’s Diane Parry.
ATP Finals: Sinner happy to come through 'very tough match' against Fritz
Jannik Sinner insisted he was prepared for the "aggressive" Taylor Fritz in their first meeting since the US Open final in September at the ATP Finals on Tuesday.
Sinner improved his record over Fritz to 3-1 with a 6-4 6-4 victory in Turin, going level with Alexander Zverev with a Tour-leading 67th victory of the season.
The Italian now sits at the top of the Ilie Nastase Group after two games, and faces Daniil Medvedev on Thursday, with the Russian beating Alex de Minaur in straight sets.
"It was a very tough match. We got to know each other from a grand slam final," Sinner said.
"We knew exactly what to expect today. He was very aggressive, but I was prepared too. I just tried to serve well in the important moments.
"In the return positions, his quality of tennis was very, very high, so I was struggling to return his serve, but I was happy with the situation.
"It was a very important day for me today, and I'm very happy that I got through."
Sinner fought off tough resistance from Fritz in front of a home crowd in Turin, hitting 22 winners compared to his opponent's 19.
Fritz had initially earned the first break point of the match, but was unable to make it count before fighting back from 0-40 to level the first set at 4-4.
Sinner ultimately piled the pressure on to win the first set and capitalised on a double fault in the second to break Fritz and win. Fritz will now face de Minaur on Thursday.
ATP Finals: Sinner stays perfect with assured Fritz victory
Jannik Sinner continued his quest to end his stellar season with the ATP Finals title after downing Taylor Fritz in straight-sets to earn his second win of the tournament.
Sinner emerged a 6-4 6-4 victor in an hour and 40 minutes in Turin, with his latest triumph improving his record to 7-0 on indoor hard courts in 2024.
The Italian showed his intentions with a love service game to open the first set, but was matched by his American opponent, who was also looking to maintain his perfect start.
Sinner missed four break points in the eighth game, but made no mistake in Fritz's following service game to claim the early advantage in Turin.
Fritz again traded blows with the year-end world number one, but would again lose a decisive break late in the second set that put Sinner within touching distance.
The American exchanged in another pulsating rally with his opponent, but sent a backhand wide to send Sinner through and to the top of the Ilie Nastase Group after two matches.
Up next for Sinner is Daniil Medvedev, who beat Alex de Minaur earlier on Tuesday, while Fritz will face the Australian on Thursday.
Data Debrief: The Italian Job
In a back-and-forth tussle with Alexander Zverev to end the year with the most wins, Sinner levelled the German with his Tour-leading 67th victory in 2024 on Tuesday.
He also sealed a 12th win against an American opponent this season, only managing more wins against Ben Shelton (three) this season than Fritz (two, level with Alex Michelsen).
Sinner (2023-24) is only the third player in the Open Era to claim 47+ ATP match wins on hard court in consecutive seasons after Roger Federer (2005-06) and Novak Djokovic (2012-13, 15-16).
Daniil Medvedev credited his ability to "block out the noise" as crucial in getting his ATP Finals campaign up and running with a straight-sets victory over Alex de Minaur.
Medvedev, who lost his opening game of the tournament to Taylor Fritz, returned to winning ways with a 6-2 6-4 triumph over the Australian in 78 minutes on Tuesday.
The Russian cut a frustrated figure in his defeat to Fritz on Sunday, breaking his racket and was docked a point after serving a third consecutive double fault during the encounter.
However, the fourth seed produced an expertly measured performance, winning 20 out of 31 baseline points in the opening set to claim the early advantage.
The second set was more evenly contested, but Medvedev secured a crucial break point in the ninth game, going on to seal his first top 10 win on hard courts since March.
"After the last match I was too tired to fight mentally the way I do and so, during the match, when it doesn't work your way, you want to win and when you start losing you get frustrated," Medvedev said.
"So I went into this match thinking, if I lose I go home on Thursday for sure and if I win then I have the chance to have a good feeling. I tried to hit some shots and it worked well and I'm ok with it.
"A lot of football players do it [block the noise]. It's more about social media and for sure after my performance with Taylor and some of my comments ... I tried to read it less.
"I went into this match trying to block the noise even from myself, so no tantrums and I really didn't care what was happening on the court."
Medvedev will seek to bolster his hopes of progressing from the John Newcombe Group when he takes on Jannik Sinner next, with the Italian in action against Fritz later on Tuesday.
Data Debrief: Cool, calm and collected
Medvedev kept his hopes of sealing a second ATP Finals crown alive with a composed display against De Minaur, improving his record to 45-19 for the season.
While the Russian produced more unforced errors (18) than De Minaur (15), Medvedev showed his quality by hitting 24 winners, 14 of which came with his forehand.
Medvedev also claimed his sixth top 10 win of 2024, while also improving his head-to-head record against his Australian opponent to 7-3, avenging his defeat in the French Open round of 16 earlier this year.
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