Alkoxylated (hydroxyalkyl)aminophenol polymers and methods of use

A polymer comprising a repeat unit having the structure of Formula I, Formula II, or a combination thereof,

• wherein
• R1 and R2 are —(CR7R8)n(CHOR9)(CH2)p(O)qR10;
• R3 is [R11O]xH;
• R4 and R5 are independently H, C1-C22 alkyl, or —[R11O]xH;
• R6 is H, alkyl, aryl, benzyl, or aralkyl, optionally substituted with an alkyl group, alkoxy group, or hydroxyl group;
• R7 and R8 are independently H or alkyl;
• R9 is H or —[R11O]xH;
• R10 is C1-C24 linear, branched, or cyclic alkyl, aryl, or aralkyl;
• each R11 is independently —CH2—CH2—, —CH(CH3)—CH2—, —CH2—CH2—CH2—, CH2—CH2—CH2—CH2—, or —CH(C6H6)—CH2—;
• n is an integer between 1 and 12;
• p is 0 or an integer between 1 and 12;
• q is 0 or 1;
• and
• each x is independently an integer between 2 and 1000.