Can a school be held liable for an assault by another student under New York law?
Under certain circumstances, yes; but school assault cases are extremely difficult to prove because you have to demonstrate that the school either knew, or should have known, that the assault was foreseeable, but failed to take appropriate actions that would have prevented the incident from occurring (generally, a school is not liable for the tortious acts of third parties). For additional information on this topic, see "How a School Can (Not) Be Liable for an Assault Under New York Law."
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