Alma mater(s)
- Harvard College A.B. 1977
- University of California at San Diego M.S. 1979 and Ph.D. 1982
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BIO
- 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
Courses
- Real Analysis
- Complex Analysis
- Measure Theory
- Algebraic Number Theory
- Commutative Algebra
- Algebraic Topology
- Cryptography
- Algebraic Geometry
- Abstract Algebra
- Fundamentals of Mathematics
- Linear Algebra
- Calculus
Area(s) of expertise
L-functions, Algebraic Number Theory, Algebraic K-Theory, and Algebraic Graph Theory.
Bio
- 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
Courses
- Real Analysis
- Complex Analysis
- Measure Theory
- Algebraic Number Theory
- Commutative Algebra
- Algebraic Topology
- Cryptography
- Algebraic Geometry
- Abstract Algebra
- Fundamentals of Mathematics
- Linear Algebra
- Calculus
Areas of Expertise
L-functions, Algebraic Number Theory, Algebraic K-Theory, and Algebraic Graph Theory.
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.