Here are my findings on dwarf nut
trees as of 5/2020:
Walnut
Mr. Shults passed away in 2018. I'm not sure if anyone is maintaining his walnut strain, bUT hopefully someone will donate seeds to the USDA to maintain it. I can't help but think OIKOS or One Green World might be interested in evaluating his trees. There is a British cultivar called Karlik available in Europe and possibly Canada that is an even smaller mini-dwarf.
Hazelnut/filberts
One Green World has many hazelnut cultivars, some of which are described as compact. Two different contorted cultivars like Red
Dragon and the purple form of Henry Lauder's Walking Stick would effectively dwarf hazel for a smaller
yard if they bloomed at the same time.
Oak
OIKOS Tree Crops has compact oaks with low-tannins, and One Green World lists some true dwarfs.
Pecan
Nada. Saw one semi-dwarf.
Yellow horn
Excellent shrub nut.
Hickory
Chetopa is in production at one nursery. If you search the USDA germplasm database, there are over 20 carya cultivars with names indicating small stature, and ten of them explicitly dwarf. Casey Jones is listed there and is possibly the dwarf cultivar mentioned in other forums as Casey. They are not grafting hickories because of infected germplasm, but it's a great start for names of dwarf cultivars to look for.
Chestnut/chinquapin
The only dwarf form is the Georgia chinquapin. There is a nursery selling these. There may be state import issues unless growing from seed.
Gingko
The fruit smells foul, but roasted gingko nuts are apparently tasty. Weeping Wonder, Variegata, and Summer Rainbow are all female cultivars. You would need a nearby male.
Almond
Garden Prince is a true dwarf.
Stone Pine
The Siberian stone pine is a true dwarf.
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