Celebrity chef Madison Cowan has relied on soft eviction laws to avoid more than $145,000 in rent payments on his Brooklyn apartment the past four-and-a-half years, his landlord claims. The British-born former champ of the Food Network’s “Chopped” and “Iron Chef” owes 53 months in back rent on a one-bedroom Boerum Hill pad he and his family have occupied since October 2019, according to landlord Gus Sheha. Cowan hasn’t paid a cent of rent since January 2020, relying on legal loopholes like repeatedly appealing eviction orders to remain in the State Street apartment, said the landlord.