# People

## Brett Tangedal

### Associate Professor

**Office:** Petty 112**Email: **batanged@uncg.edu**Starting year at UNCG:** 2007

### Education

**Degree(s): **Ph.D. in Mathematics, University of California at San Diego (1994)

### Teaching

**Spring 2022**

- MAT-310 LEC (Elementary Linear Algebra), TR 2:00-3:15, Petty Science Building 219
- MAT-413 LEC (Historical Development of Math), TR 3:30-4:45, Petty Science Building 7
- MAT-513 LEC (Historical Development of Math), TR 3:30-4:45, Petty Science Building 7

### Research

**Member of the Research Group(s):** Number Theory**Former Students:** Rick Shepherd (M.A.), Nancy Buck (M.A.), Stephen Steward (M.A.)

**Research Interests:** I am interested in algebraic number theory with a particular emphasis on explicit class field theory. This involves the constructive generation of relative abelian extensions of a given number field using the special values of certain transcendental complex and $$p$$-adic valued functions. Almost all of my research to date is concerned with a system of conjectures, due to Stark and others, that make class field theory explicit in a precise manner as described above.

### Selected Publications

- Tangedal, Brett A.; Young, Paul T. Explicit computation of Gross-Stark units over real quadratic fields. J. Number Theory 133 (2013), no. 3, 1045-1061.
- Tangedal, Brett A. ; Young, Paul T. On p -adic multiple zeta and log gamma functions. J. Number Theory 131 (2011), no. 7, 1240–1257.
- Sands, Jonathan W. ; Tangedal, Brett A. Functorial properties of Stark units in multiquadratic extensions. Algorithmic number theory, 253–267, Lecture Notes in Comput. Sci., 5011, Springer, Berlin, 2008.
- Tangedal, Brett A. Continued fractions, special values of the double sine function, and Stark units over real quadratic fields. J. Number Theory 124 (2007), no. 2, 291–313.
- Dummit, David S. ; Tangedal, Brett A. ; van Wamelen, Paul B. Stark’s conjecture over complex cubic number fields. Math. Comp. 73 (2004), no. 247, 1525–1546 (electronic).

### Brief Biography

Dr. Tangedal earned his Ph.D. from the University of California at San Diego in 1994 under the direction of Harold Stark. After holding various positions at the University of Vermont, Clemson University, and the College of Charleston, he joined the faculty at UNCG in 2007. His research interests lie in algebraic number theory with a particular emphasis on explicit class field theory. This involves the constructive generation of relative abelian extensions of a given number field using the special values of certain transcendental complex and p-adic valued functions. Almost all of his research to date is concerned with a system of conjectures, due to Stark and others, that make class field theory explicit in a precise manner using the special values mentioned above.