This Handbook contains information about the Graduate Program in Mathematics at the University of Vermont. It is useful for potential students, current students, advisors, and professors. Comments or suggestions may be relayed to Dr. Jonathan Sands, the Director of the Mathematics Graduate Program, Department of Mathematics and Statistics, University of Vermont, Burlington, VT 05405. Questions about the graduate program can be sent to Dr. Sands at jonathan.sands@uvm.edu. The department phone number is (802) 656-2940. Additional information can be found on the department website at http://uvm.edu/math and an online version of this document can be found here.