Question: Who commanded the V Calvary Corps at the battle between the Sixth Coalition and the French Empire?

Context paragraphs:
VI Corps (Grande Armée): The VI Corps of the "Grande Armée" was the name of a French military unit that existed during the Napoleonic Wars.  It was formed at the Camp de Boulogne and assigned to Marshal Michel Ney.  From 1805 through 1811, the army corps fought under Ney's command in the War of the Third Coalition, the War of the Fourth Coalition, and the Peninsular War.  Jean Gabriel Marchand was in charge of the corps for a period when Ney went on leave.  In early 1811, Ney was dismissed by Marshal André Masséna for disobedience and the corps was briefly led by Louis Henri Loison until the corps was dissolved in May 1811.  The VI Corps was revived in 1812 for the French invasion of Russia and placed under Laurent Gouvion Saint-Cyr.  It entirely consisted of Bavarian soldiers at that time.  After the disastrous winter retreat the corps was virtually destroyed.  In 1813 during the War of the Sixth Coalition it was recreated with reorganized French troops.  Marshal Auguste Marmont took command of the corps and managed it until Emperor Napoleon's abdication in 1814.  It took part in many battles including Dresden and Leipzig in 1813.  During the Hundred Days, Georges Mouton, Count de Lobau commanded the VI Corps at the Battle of Waterloo.

Battle of Caldiero (1813): The Battle of Caldiero on 15 November 1813 saw an army of the First French Empire under Eugène de Beauharnais opposed to an Austrian Empire army led by Johann von Hiller.  Eugène, who was the Viceroy of the Napoleonic Kingdom of Italy inflicted a defeat on Hiller's troops, driving them from Caldiero.  The action took place during the War of the Sixth Coalition, part of the Napoleonic Wars.  Caldiero is located 15 km east of Verona on the Autostrada A4.

V Cavalry Corps (Grande Armée): The V Cavalry Corps (Grande Armée) was a French military formation that existed during the Napoleonic Wars.  The corps was created in 1813 and fought until 1814.  Emperor Napoleon first organized the corps during the summer armistice in 1813 and it fought at Dresden and Leipzig.  Samuel-François Lhéritier led the corps at first but was replaced by Pierre Claude Pajol.  After Pajol was wounded at Leipzig, Édouard Jean Baptiste Milhaud commanded the corps at Hanau in 1813, and at Brienne, La Rothière, Mormant, Fère-Champenoise, and Paris in 1814.

Battle of Montereau: The Battle of Montereau (18 February 1814) was fought during the War of the Sixth Coalition between an Imperial French army led by Emperor Napoleon and a corps of Austrians and Württembergers commanded by Crown Prince Frederick William of Württemberg.  While Napoleon's army mauled an Allied army under Gebhard Leberecht von Blücher, the main Allied army commanded by Karl Philipp, Prince of Schwarzenberg advanced to a position dangerously close to Paris.  Gathering up his outnumbered forces, Napoleon rushed his soldiers south to deal with Schwarzenberg.  Hearing of the approach of the French emperor, the Allied commander ordered a withdrawal, but 17 February saw his rear guards overrun or brushed aside.

Battle of Katzbach: The Battle of the Katzbach on 26 August 1813, was an engagement of the Napoleonic Wars between the forces of the First French Empire under Marshal MacDonald and a Russo-Prussian army of the Sixth Coalition under Prussian Marshal Graf (Count) von Blücher.  It occurred during a heavy thunderstorm at the Katzbach river between Wahlstatt and Liegnitz in the Prussian province of Silesia.  Taking place the same day as the Battle of Dresden, it resulted in a Coalition victory.

IV Cavalry Corps (Grande Armée): The IV Cavalry Corps (Grande Armée) was a French military formation that existed during the Napoleonic Wars.  The corps was created in 1812 and rebuilt in 1813 and 1815.  Emperor Napoleon first organized the corps for the French invasion of Russia.  Under General of Division Victor de Fay de La Tour-Maubourg, the corps fought at Borodino.  During the War of the Sixth Coalition in 1813, General of Division François Étienne de Kellermann commanded the all-Polish corps at Leipzig.  During the Hundred Days in 1815, Napoleon reconstituted the corps and nominated General of Division Édouard Jean Baptiste Milhaud to direct it.  Composed entirely of cuirassier regiments, the two divisions fought at Ligny and Waterloo.

Battle of Paris (1814): The Battle of Paris was fought on March 30–31, 1814 between the Sixth Coalition—consisting of Russia, Austria, and Prussia against the French Empire.  After a day of fighting in the suburbs of Paris, the French surrendered on March 31, ending the War of the Sixth Coalition and forcing Emperor Napoleon to abdicate and go into exile.

II Cavalry Corps (Grande Armée): II Cavalry Corps (Grande Armée) was a French military formation during the Napoleonic Wars.  It was first formed in December 1806, but only enjoyed a brief existence under Marshal Jean-Baptiste Bessières.  The II Cavalry Corps was reconstituted for the French invasion of Russia in 1812 and commanded by General of Division Louis-Pierre Montbrun who was killed in battle, as was his successor a few hours later.  In the War of the Sixth Coalition, General of Division Horace François Bastien Sébastiani de La Porta led the corps in 1813.  General of Division Antoine-Louis Decrest de Saint-Germain directed the corps in 1814.  During the Hundred Days, Napoleon raised the corps again and entrusted it to General of Division Rémi Joseph Isidore Exelmans.

Battle of Toulouse (1814): The Battle of Toulouse (10 April 1814) was one of the final battles of the Napoleonic Wars, four days after Napoleon's surrender of the French Empire to the nations of the Sixth Coalition.  Having pushed the demoralised and disintegrating French Imperial armies out of Spain in a difficult campaign the previous autumn, the Allied British-Portuguese and Spanish army under the Marquess of Wellington pursued the war into southern France in the spring of 1814.

III Cavalry Corps (Grande Armée): The III Cavalry Corps (Grande Armée) was a French military formation that fought during the Napoleonic Wars.  The corps was created in 1812 and reconstituted in 1813 and 1815.  Emperor Napoleon first mobilized the corps for the French invasion of Russia.  Commanded by General of Division Emmanuel Grouchy, two divisions of the corps fought at Borodino, Tarutino, and Vyazma.  A third division fought at First and Second Polotsk and the Berezina.  During the War of the Sixth Coalition in 1813, General of Division Jean-Toussaint Arrighi de Casanova led the corps at Grossbeeren, Dennewitz, Leipzig, and Hanau.  During the Hundred Days in 1815, Napoleon reorganized the corps and appointed General of Division François Étienne de Kellermann to lead it.  One brigade of the corps was engaged at Quatre Bras and both divisions fought at Waterloo.

Supporting paragraphs: V Cavalry Corps (Grande Armée) Battle of Paris (1814)
Answer: Édouard Jean Baptiste Milhaud