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This appears to be Winged Elm (Ulmus alata), or possibly another species, in the Elm Family (Ulmaceae), native to the southeastern and central United States. It is occasionally grown as an ornamental plant due to its foliage and distinctive, corky, winged stems.
Other species of Elm (Ulmus) will sometimes also exhibit winged stems, but usually not so dramatically as Ulmus alata.
Even though the unusual stems are normal, the tree has suffered leaf damage both from chewing insects and a disease, possibly Elm Anthracnose (Gnomonia ulmea). Still, it is an interesting and unusual specimen plant.
In Winter, after the leaves have fallen, clean up all the fallen leaves and compost them away from the Elm. Also mulch under the tree with fresh wood chips. These two steps may help reduce any overwintering disease or insect infestation. Winter would also be a good time to do any corrective pruning.