Depends on how one defines 'warm', but for total heat energy radiation, Hawaii's Mount Kilauea ( https://www.google.com/maps/place/K%C4%ABlauea/@19.4068925,-155.2833786,15z ) at a temperature of 1,170 degrees Celsius (2,140 degrees Fahrenheit and Mount Nyiragongo in the Democratic Republic of Congo. ( The Earth Observatory, EOS Project Science Office at NASA Goddard Space Flight Center).

Historically, the place with available data ( there are six other in Russia that might qualify ) which experienced the most rapid change in temperature measured in a given interval of time would be Namu Island ( https://www.google.com/maps/place//@11.6977512,165.2707324,15z ) reaching several million degrees Kelvin in much less than a millisecond.

Dr Michael John Patrick thank you for your contribution to the discussion

Air temperatures on Earth have been rising since the Industrial Revolution. While natural variability plays some part, the preponderance of evidence indicates that human activities particularly emissions of heat-trapping greenhouse gases are mostly responsible for making our planet warmer. Compared with earlier assessments, the risks of serious impacts “increase to high and very high levels at lower global warming levels” states the 2022 IPCC report on climate impacts. Certain gases in the atmosphere trap some extra heat, warming our planet like a blanket. This extra warming is called the greenhouse effect. Without it, our planet would be a frozen ball of ice. While natural variability plays some part, the preponderance of evidence indicates that human activities particularly emissions of heat-trapping greenhouse gases are mostly responsible for making our planet warmer. Global warming is the phenomenon of the gradual increase in the temperature of the earth's surface due the increase in the amount of carbon dioxide which is a green house gas. Other greenhouse gases include methane, nitrous oxide, and water vapour. Near the equator, the sun's rays hit Earth at close to a 90-degree angle. This means that the sun's energy is concentrated within a small surface area. On Earth, this results in warm temperatures at the equator. At higher latitudes, the angle that the sun's rays hit Earth is lower due to Earth's curved shape. Svalbard, a Norwegian archipelago in the Arctic Ocean, has been found to be warming at six-times the average rate by scientists from the Norwegian Polar Institute. Astoundingly, in just five decades, the temperature of the isolated frozen landscape has risen by 4°C. Svalbard is warming six times faster than the global average, with some researchers predicting that, by 2100, its glaciers will be losing ice at double the current rate, regardless of whether global climate targets are hit.

The heat waves of July and August are getting out of hand, so to speak. The news that some parts of the ocean are warming faster than normal is alarming.

Maybe the oceans are the fastest warming places on Earth.

Dr Michael Issigonis thank you for your contribution to the discussion

The earth's largest land masses and its north and south poles are warming the fastest, mainly because of differences in how these areas reflect energy from the sun. While natural variability plays some part, the preponderance of evidence indicates that human activities—particularly emissions of heat-trapping greenhouse gases—are mostly responsible for making our planet warmer. Extra greenhouse gases in our atmosphere are the main reason that Earth is getting warmer. Greenhouse gases, such as carbon dioxide (CO2) and methane, trap the Sun's heat in Earth's atmosphere. It's normal for there to be some greenhouse gases in our atmosphere. They help keep Earth warm enough to live on. Stabilizing global temperature near its current level requires eliminating all emissions of heat-trapping gases or, equivalently, achieving a carbon-neutral society in which people remove as much carbon from the atmosphere as they emit. Since 1880, average global temperatures have increased by about 1 degree Celsius (1.7° degrees Fahrenheit). Global temperature is projected to warm by about 1.5 degrees Celsius (2.7° degrees Fahrenheit) by 2050 and 2-4 degrees Celsius (3.6-7.2 degrees Fahrenheit) by 2100. Compared with earlier assessments, the risks of serious impacts “increase to high and very high levels at lower global warming levels” states the 2022 IPCC report on climate impacts. This change is simply because the observed impacts so far are already more severe than expected.Europe, the fastest-warming continent, faces 'major human, economic, environmental toll' from climate impacts. The State of the Climate in Europe 2022 says last year was “marked by extreme heat, drought and wildfires. Sea surface temperatures around Europe reached new highs, accompanied by marine heatwaves. Nestled on an Arctic island halfway between Norway and the North Pole, Longyearbyen is not only the most northerly town in the world, but the fastest warming one as well. Several countries, including the UK, Spain, Switzerland and Italy, saw their hottest years on record in 2022. Europe is the fastest-warming continent in the world, according to the report, and has been warming twice as fast as the global average for the last four decades. Originally Answered: What continent has the warmest climate? Africa and Australia. The coldest is Antarctica. The northwest coast of North America, Europe, the southwest coast of South America are temperature. Carbon dioxide, methane, and nitrous oxide concentrations are now more abundant in the earth's atmosphere than any time in the last 800,000 years. These greenhouse gas emissions have increased the greenhouse effect and caused the earth's surface temperature to rise. Collisions between Earth and rocky debris in the early solar system would have kept the surface molten and surface temperatures blistering. Image courtesy NASA. Even after collisions stopped, and the planet had tens of millions of years to cool, surface temperatures were likely more than 400° Fahrenheit. The rate of future global warming depends on future emissions, feedback processes that dampen or reinforce disturbances to the climate system, and unpredictable natural influences on climate like volcanic eruptions.