He leads the men's seedings ahead of defending champ Roger Federer, with Bulgarian Grigor Dimitrov seeded third.
IMAGES from Australian Open matches played at Melbourne Park on Friday
Images from the matches played on Day eight of the 2018 Australian Open at Melbourne Park on Monday
A look at the records of Czech Republic's Karolina Pliskova and Japan's Naomi Osaka before their semi-final match at the Australian Open on Thursday (prefix number denotes seeding):
Not many would have bet on unseeded Americans Danielle Collins and Frances Tiafoe making it to the Australian Open quarter-final
Fourth seed Angelique Kerber's bid for consecutive Grand Slam titles ended when 29th seed Dominika Cibulkova defeated the German 3-6, 6-3, 6-3 in the US Open third round on Saturday.
The Australian Open will lose one of its giant killers when South Korean Chung Hyeon meets American Tennys Sandgren in an unlikely quarter-final showdown at the Rod Laver Arena on Wednesday.
Maria Sharapova made it a remarkable 20 victories from 23 grand slam quarter-finals but was pushed all the way at Wimbledon on Tuesday by feisty American Coco Vandeweghe before emerging a 6-3, 6-7(3), 6-2 winner.
The top-seeded duo battled past the Rodionova sisters of Australia, Anastasia and Arina, 6-7, 6-3, 10-5 in their opening round match of the US $731,000 clay-court event.
Serena Williams is chasing Australian Margaret Court's record 24 Grand Slam singles titles
Williams had little trouble against the 31-year-old German although the gusty breezes at Auckland Tennis Centre played havoc with her ball toss, especially when she was serving for the match at 5-3 in the second set.
SSerena Williams swept past Anastasija Sevastova 6-3, 6-0 on Thursday and into the final of the US Open to sit one win away from a record-equalling 24th Grand Slam title.
Serena William powered her way to within two victories of a seventh US Open title on Tuesday and while she refused to look ahead there are many willing to do it for her, and what they see is a suddenly open path to a 24th Grand Slam.
The 36-year-old Swiss master needs only to reach the semi-finals at the ABN Amro tennis event to overtake Rafael Nadal at the top of the ATP rankings and become world number one for the first time since November 2012.
Images from Day 2 of the 2020 US Open in New York
Here are eight women to watch during the US Open which starts on Monday.
Images from the Australian Open in Melbourne on Thursday.
Twice Australian Open champion Victoria Azarenka overcame an inspired challenge from qualifier Aleksandra Krunic of Serbia 4-6, 6-4, 6-4 on Monday to advance to the quarter-finals of the US Open.
Britain's Johanna Konta will become the first British woman to reach the top 10 of the WTA rankings for 32 years on Monday after reaching the China Open final on Saturday.
Spain's Garbine Muguruza successfully defended her Monterrey Open title on Sunday when Victoria Azarenka retired injured from her first WTA singles final in three years.
'I will put everything I have Saturday on the court'
Photos from matches played at the US Open in Flushing Meadows on Sunday
Former men's champion Mats Wilander believes third seed Muguruza now looks like the most likely champion, having not dropped a set and thrashing Maria Sharapova on Wednesday.
IMAGES from the matches played at the Miami Open on Thursday
A summary of sports stories from across the globe
The 2009 champion who will next face Roger Federer, saved two match points in the fourth set of what was arguably the best of the tournament so far.
Novak Djokovic wore down Lucas Pouille after an even first set, dispatching the Frenchman 7-6(2), 6-1 in a Cincinnati Masters quarter-final in Ohio on Friday.
A year after Serena Williams and Naomi Osaka were both caught up in a whirlwind of conflicting emotions, both will be trying to make history in the US Open final on Saturday.
A round-up of tennis matches played on Tuesday.
Defending champion Djokovic fired his 15th ace on match point to defeat Querrey but his serve had been an issue earlier in their second-round encounter.
Russia's Elena Vesnina ousted German second seed Angelique Kerber 6-3, 6-3 to reach the quarter-finals of the BNP Paribas Open at Indian Wells, California on Tuesday.
Images from Day 8 of the Australian Open in Melbourne on Monday.
Andy Murray would not have continued playing at the Australian Open if his father-in-law's health had deteriorated following his collapse at Rod Laver Arena, the world number two said on Monday.
Fifth seed Simona Halep of Romania took advantage of an error-prone display by American Madison Keys to claim her 14th WTA title with a 7-6(2), 6-3 victory in the Rogers Cup final in Montreal on Sunday.
IMAGES from matches on Day 8 at the French Open
Top seed and defending champion Roger Federer advanced to the Wimbledon last 16 without dropping a set after a 6-3, 7-5, 6-2 win over German Jan-Lennard Struff on Friday.
The 37-year-old has enjoyed a renaissance season that has seen her reach the Australian Open and Wimbledon finals and sit just one victory away, against American compatriot Sloane Stephens, from playing for the US Open title for the first time since 2002.
Images from the third day at the US Open, the final Grand Slam tournament of the year, in New York, on Wednesday:
Regaining the world's top ranking in women's tennis is less important to Maria Sharapova.
Zverev, who is looking for his fourth tournament win of the year, needed only 64 minutes to defeat Nishikori and move into the final in WashingtonDC where he will play Kevin Anderson after the South African beat Jack Sock by the same score.