Nguyen's tridents and the classification of semigraphical translators for mean curvature flow Hoffman, D. Martín Serrano, Francisco 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. 2022-03-28T11:44:18Z 2022-03-28T11:44:18Z 2022-02-01 journal article Published version: Hoffman, D., Martín, F. & White, B. (2022). Nguyen’s tridents and the classification of semigraphical translators for mean curvature flow. Journal für die reine und angewandte Mathematik (Crelles Journal), (). [https://doi.org/10.1515/crelle-2022-0005] http://hdl.handle.net/10481/73846 eng http://creativecommons.org/licenses/by/3.0/es/ open access Atribución 3.0 España De Gruyter