Professor

Ph.D. advisee of Professor Harold M. Stark at University of California at San Diego 1979-82

Ph.D. advisor to Jason Price at University of Vermont 2007-2009

Assistant Professor of Mathematics, University of Maine at Orono, 1982-85

Member of the Institute for Advanced Study, Princeton, N.J., Fall 1985

Instructor, The Ohio State University, Winter-Spring 1986

Assistant Professor of Mathematics, University of Vermont, 1986-91

Guest Professor, Department of Computer Science, University of Saarland, Saarbr ̈ucken, Germany, 1992-93

Associate Professor of Mathematics, University of Vermont, 1991-1999

Visitor, Department of Mathematics, University of Texas at Austin, 1999-2000

Professor of Mathematics, University of Vermont, 1999-present

Visitor, Department of Mathematics, University of California at San Diego, 2006-2007

Visitor, Department of Mathematics and Statistics, University of North Carolina at Greensboro, 2015.

Visitor, Department of Mathematics and Statistics, California State University at Chico, 2018

Publications

  • Numerical evidence for higher order Stark-type conjecture (with K.
    McGown and D. Vallieres), Mathematics of Computation 88.315 (2019), 389-420.
  • Computing annihilators of class groups from derivatives of L-series (with B.A. Tangedal), Mathematics of Computation 87.314 (2018), 2937-2953.
  • Zeta-functions and ideal classes of quaternion orders, Rocky Mountain Journal of Mathematics 47.4 (2017).
  • Twisted zeta-functions of quaternion orders, Journal of Number Theory 160 (2016), 32-43.
  • L-functions for quadratic characters and annihilation of motivic cohomology groups, Canadian Math. Bulletin 58.3 (2015), 620–631.

Areas of Expertise and/or Research

L-functions, Algebraic Number Theory, Algebraic K-Theory, and Algebraic Graph Theory

Education

  • Harvard College A.B. 1977
  • University of California at San Diego M.S. 1979 and Ph.D. 1982

Contact

Phone:
  • 802-656-4339
Office Location:

Innovation Hall E444

Website(s):
  1. Jonathan's Website

Courses Taught

  • Real Analysis
  • Complex Analysis
  • Measure Theory
  • Algebraic Number Theory
  • Commutative Algebra
  • Algebraic Topology
  • Cryptography
  • Algebraic Geometry
  • Abstract Algebra
  • Fundamentals of Mathematics
  • Linear Algebra
  • Calculus