Nguyen's tridents and the classification of semigraphical translators for mean curvature flow
The second author was partially supported by the MCIN/AEI grant no. PID2020-116126-I00 and by the Regional Government of Andalusia and ERDEF grant no. PY20-01391. The third author was partially supported by NSF grant no. DMS-1711293. ; We construct a one-parameter family of singly periodic translating solutions to mean curvature ow that converge as the period tends to 0 to the union of a grim reaper surface and a plane that bisects it lengthwise. The surfaces are semigraphical: they are properly embedded, and, after removing a discrete collection of vertical lines, they are graphs. We also provide a nearly complete classi cation of semigraphical translators. ; MCIN/AEI PID2020-116126-I00 ; Junta de Andalucia ERDEF PY20-01391 ; National Science Foundation (NSF) DMS-1711293