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1821 - August 30 – At the Congress of Cúcuta, the Republic of Gran Colombia (a federation covering much of present-day Venezuela, Colombia, Panama, and Ecuador) is established, with Simón Bolívar as the founding President, and Francisco de Paula Santander as vice president.

1822: The First National Assembly at Epidaurus wrote up a constitution for Greece, then created the modern Greek for their naval ensign. Then they went back to fighting a war of independence against the Ottoman Empire.

1823 AD On January the 31st, a centuries-old icon of the Annotation of the Virgin Mary is discovered buried in a field on the Greek island of Tenos. It is believed the icon was hidden in the years of the Iconoclastic Discord.

1824 - May 23 – Ambrose Burnside, American Civil War general, inventor, and politician from Rhode Island is born. Ambrose Burnside's famous facial hair would lead to the style named after him - sideburns.

On February 9, 1825, the House of Representative elected John Quincy Adams as the sixth President of the United States after the electoral college failed to produce a winner.

1826 - July 4 – Former U.S. Presidents Thomas Jefferson and John Adams both die on the 50th anniversary of the signing of the United States Declaration of Independence.

1827
March 11 - The new state constitution for the Mexican state of Coahuila y Tejas is ratified.
March 27 - Ludwig van Beethoven dies in Vienna.
Throughout the year - The Greek War of Independence rages, with the Greeks fighting for their sovereignty against the Ottoman Empire

1828 AD Following the disastrous defeat in Nvarino, the Ottoman Empire accepted the London Protocol, which entails the creation of an autonomous Greek state under Ottoman suzerainty encompassing the Peloponnese, Attica, Boetia and the Cyclades islands.

STARLINK 1829 is currently over the Pacific Ocean, about 10ºN of the equator, and 145ºW of Greenwich. STARLINK 1829 is also known as NORAD object 46726. It is approaching "landfall" in California shortly.

1830 ΑD Following the defeat in the war with Russia, the Ottoman Empire is made to accept the London Protocol, which recognises an independent Greek state with broader borders than the previous Protocol.

1831 discovery of the Lewis chessmen on Lewis in the Outer Hebrides of Scotland. They may constitute some of the few complete, surviving medieval chess sets.

The most famous duel in the history of mathematics, if not all of science, took place on 30 May 1832. It ended with Evariste Galois, a French mathematician, being shot in the abdomen. He died the very next day at the age of 20. But, by then, he had already done enough to initiate an entire field of mathematics, now termed the Galois Theory, apart from making a substantial contribution to a number of related areas. Supposedly, because of his love of mathematics, he spent the night before the duel annotating the theory that eventually was named for him.

1833, Κing Otto becomes the first king of the new Greek realm.

1834 - July 8 – Imam Faisal bin Turki enters Riyadh and upon entering his father's palace, assassinates his father's murderer, Ibrahim Hamza, and his master; Mishari, and becomes the ruler and founder of the Second Saudi State.

1835 (January 8): For the only time in history, the United States is free from public debt.

1836 The Battle of Alamo is fought, gaining a place in the history of heroic last stands.

1837 - January 26 – Michigan becomes the 26th state admitted to the United States! That's my state!

1838 The coronation of Queen Victoria of the United Kingdom takes place at Westminster Abbey in London. She was the longest-reigning monarch in British history (and one of the longest-reigning in all the world) until Elisabeth II.

1839 in military time is 6:39, which is interesting because 639 is a fun set of threes. 1 and 8 add to 9, which means 1839 is a fun set of threes as well. If this is meaningless to you, Franz Schubert's Symphony no. 9 in C was premiered in 1839 by Felix Mendelssohn more than a decade after Schubert's death. This widely regarded and presently studied work would likely have been lost to time if it wasn't for this performance.

1840 - December 15 – The body of Napoleon is laid to rest in Les Invalides in Paris.