Although it is not necessary to have a permit to carry a concealed weapon in the state of Vermont, the law does state that Colleges and Universities have the authority to ban all weapons from campus.
The University of Vermont generally prohibits the possession of weapons on campus. See: https://www.uvm.edu/sites/default/files/UVM-Policies/policies/firearms.pdf
As of February 1, 2024, no private or public universities, colleges, or community colleges permit weapons inside of buildings or on school grounds.
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Disclaimer: Policies are subject to change at any time, both during and between school years. In addition, individual school policies commonly include more details than can be succinctly captured by ArmedCampuses.org. Each school should be consulted for its most accurate, up-to-date policy.