These are the things named after Jean-Pierre Serre, a French mathematician.

• Bass–Serre theory
• Serre class
• Quillen–Suslin theorem (sometimes known as "Serre's Conjecture" or "Serre's problem")
• Serre's Conjecture concerning Galois representations
• Serre's "Conjecture II" concerning linear algebraic groups
• Serre's criterion (there are several of them.)
• Serre duality
• Serre–Grothendieck–Verdier duality
• Serre's FAC
• Serre fibration
• Serre's C-theory
• Serre's inequality on height
• Serre group
• Serre's modularity conjecture
• Serre's multiplicity conjectures
• Serre's open image theorem
• Serre's property FA
• Serre relations
• Serre subcategory
• Serre functor
• Serre spectral sequence
• Lyndon–Hochschild–Serre spectral sequence
• Serre–Swan theorem
• Serre–Tate theorem
• Serre's theorem in group cohomology^[1]
• Serre's theorem on affineness
• Serre twist sheaf
• Serre's vanishing theorem
• Thin set in the sense of Serre