Nearly 6.3 million people worldwide – including more than 1.8 million in the United States – have been infected with the new coronavirus, and the number of deaths from the outbreak continues to rise. While efforts to contain the COVID-19 outbreak continue, states have begun to shift their focus toward reopening their economies. The Centers for Disease Control and Prevention is tracking cases in the U.S. here. Live updates for Tuesday, June 2, continue below: 1,653 new coronavirus infections reported in the UK Update 12:25 p.m. EDT June 2: Officials in the United Kingdom reported 1,653 new coronavirus infections Tuesday, raising the country’s total number of infections to 277,985. Officials said that as of 5 p.m. local time Tuesday, the most recent date for which data was available, 39,369 people had died nationwide of COVID-19. COVID-19 cases ‘at an all-time low’ in New York, governor says Update 12 p.m. EDT June 2: Gov. Andrew Cuomo of New York said Tuesday that COVID-19 cases in the state were “at an all-time low.' The governor said 58 more people have died of COVID-19 statewide. The number of new fatal cases reported one day earlier was 54. 29 new cases of COVID-19 reported in DC Update 11:15 a.m. EDT June 1: Health officials in Washington D.C. said Tuesday that 29 new coronavirus infections have been reported in the area, raising the total number of cases in the area to 8,886. Officials also announced that two more people, both aged 79, had died of COVID-19 in Washington D.C., bringing the total number of deaths in the District to 470. Americans charged, accused of violating social distancing rules in Singapore Update 11 a.m. EDT June 2: Authorities in Singapore have charged two Americans with violating the country’s social distancing rules, according to NBC News. The Americans, identified in court records obtained by NBC as Jeffrey Brown, 52, and Bao Nguyen Brown, 40, were accused of meeting with an Australian man at a restaurant on May 16 to socialize, the news network reported. If convicted, the Browns could face up to 6 months in jail and a fine of up to $7,100, according to NBC News. Stocks open higher as investors hope for economic recovery Update 9:45 a.m. EDT June 2: Stocks opened modestly higher Tuesday on Wall Street, despite deepening unrest across the U.S., as investors hope that the gradual lifting of lockdown provisions will help economies recover from the damage caused by the coronavirus outbreak. The S&P 500 rose 0.2% in the first few minutes of trading Tuesday. The gains were led by stocks that would stand to gain the most from a growing economy, including banks and industrial companies. The price of crude oil rose again, which helped energy companies. Markets in Europe and Asia also rose. Bond yields rose slightly, another sign that pessimism was ebbing among investors. Global cases near 6.3M, death toll tops 376K Update 8 a.m. EDT June 2: The global death toll attributed to the novel coronavirus reached 376,077 early Tuesday, according to a Johns Hopkins University tally. In the four months since the virus was first identified in Wuhan, China, it has infected at least 6,294,222 people worldwide. Meanwhile, 16 nations now have total infection counts higher than China’s 84,160. The 10 nations with the highest number of infections recorded to date are as follows: • The United States has reported 1,811,277 cases, resulting in 105,147 deaths. • Brazil has recorded 526,447 cases, resulting in 29,937 deaths. • Russia has confirmed 423,186 cases, resulting in 5,031 deaths. • The United Kingdom has reported 277,738 cases, resulting in 39,127 deaths. • Spain has confirmed 239,638 cases, resulting in 27,127 deaths. • Italy has reported 233,197 cases, resulting in 33,475 deaths. • India has reported 199,785 cases, resulting in 5,610 deaths. • France has confirmed 189,348 cases, resulting in 28,836 deaths. • Germany has reported 183,771 cases, resulting in 8,557 deaths. • Peru has reported 170,039 cases, resulting in 4,634 deaths. US air travel sees slight uptick as coronavirus restrictions ease Update 7:04 a.m. EDT June 2: Air travel in the United States began crawling out of its coronavirus-imposed gridlock in May, but the road to recovery will be a long one. According to the Transportation Security Administration, nearly 949,000 passengers were screened during the past weekend, compared with only 476,000 during the first weekend of May, CNN reported. Trump administration’s coronavirus testing czar stepping down Update 6:37 a.m. EDT June 2: Adm. Brett Giroir, the Trump administration’s coronavirus testing czar, announced Monday he will step down from the post June 30. Giroir, who assumed the role in March, said during a Monday meeting of the Presidential Advisory Council on HIV/AIDS that he will return to his prior role as assistant secretary for health in the Department of Health and Human Services, The Washington Post reported. Meanwhile, an HHS spokesperson confirmed to NPR a testing czar successor will not be named for Giroir. US coronavirus cases eclipse 1.8M, deaths top 105K Update 12:41 a.m. EDT June 2: The number of novel coronavirus cases in the United States climbed past 1.8 million early Tuesday across all 50 states, the District of Columbia, Puerto Rico, Guam and the U.S. Virgin Islands. According to a Johns Hopkins University tally, there are at least 1,811,357 confirmed U.S. cases of the virus, which have resulted in at least 105,160 deaths. The hardest-hit states remain New York with 371,711 cases and 29,917 deaths and New Jersey with 160,918 cases and 11,723 deaths. Massachusetts, with 100,805 cases, has the third-highest number of deaths with 7,035, while Illinois has the third-highest number of cases with 121,234. Only 15 states and territories have confirmed fewer than 5,000 cases each. Six other states have now confirmed at least 53,000 novel coronavirus cases each, including: · California: 114,733 cases, resulting in 4,217 deaths · Pennsylvania: 76,646 cases, resulting in 5,567 deaths · Texas: 65,593 cases, resulting in 1,683 deaths · Michigan: 57,532 cases, resulting in 5,516 deaths · Florida: 56,830 cases, resulting in 2,460 deaths · Maryland: 53,327 cases, resulting in 2,552 deaths Meanwhile, Georgia, Virginia, Connecticut and Louisiana each has confirmed at least 40,000 cases; Ohio and Indiana each has confirmed at least 34,000 cases; North Carolina, Colorado, Minnesota, Tennessee, Washington and Arizona each has confirmed at least 20,000 cases, followed by Iowa with 19,699; Alabama and Wisconsin each has confirmed at least 18,000 cases, followed by Mississippi with 15,752; Rhode Island and Nebraska each has confirmed at least 14,000 cases, followed by Missouri with 13,724, South Carolina with 12,148 and Kentucky with 10,046; Utah, Kansas and Delaware each has confirmed at least 9,000 cases; the District of Columbia and Nevada each has confirmed at least 8,000 cases; New Mexico and Arkansas each has confirmed at least 7,000 cases, followed by Oklahoma with 6,913 and South Dakota with 5,034.. Click here to see CNN’s state-by-state breakdown. The Associated Press contributed to this report.