Ulysses S. Grant and his wife, Julia Dent Grant, are entombed in a monument called Grant's Tomb. The monument is located on the west side of Manhattan, in Riverside Park, in the area known as the Morningside Heights neighborhood (which is the neighborhood that lies between the Upper West Side to the south and West Harlem to the north).
I do not know of any US President that was buried in such a way.
Abraham Lincoln is buried in Springfield, Illinois.
Jackson
No US president is buried under the rotunda of the US capitol. Some of the presidents, such as McKinley and Grant, have elaborate tombs which have rotundas and they are buried under them.
Jonh tyler
Reagan
President Theodore Roosevelt is buried in Youngs Memorial cemetery in Bay Cove, New York. He was the 26th President of the US.
James K. Polk is the president buried on state capital grounds in Nashville.
No, Woodrow Wilson is not buried at Arlington. The 27th President, William Howard Taft (who Wilson defeated in 1912) was buried at Arlington in 1930. The only other President buried on the grounds is John F. Kennedy (35th President, assassinated in 1963).
Ronald Reagan
George Washington, first US President, was inaugurated there on 30 April 1789.
The current (2010) Manhattan Borough President is Scott Stringer.