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Professional Expertise

Number theory, undergraduate research

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Brief Biography

Dr. Awtrey joined Elon University in 2010 after completing his graduate work at Arizona State University. His main research interests lie in algebraic number theory, *p*-adic fields, and computational Galois theory.

A passionate proponent of undergraduate research, Dr. Awtrey regularly engages undergraduates in problems related to his research program, and he fosters a commitment in his students to disseminate their work through publications and national/regional presentations. His work in mentoring undergraduate research has been recognized with a grant from the Center for Undergraduate Research in Mathematics.

A dedicated teacher-scholar, Dr. Awtrey received the Dean's Distinguished Teaching Award while at Arizona State in 2008, and he was chosen as a 2010 national Project NExT fellow. Dr. Awtrey's SoTL research on *Writing to Learn* and *Writing in the Disciplines* has been supported by a generous grant through Elon University's Center for the Advancement of Teaching and Learning.

Dr. Awtrey's Homepage.

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Courses Taught

### Courses at Elon

* denotes a course I created

- MTH 110 General Statistics,
*F'10, S'14*
- MTH 151 Calculus 1,
*F'10, F'11, S'12, S'13*
- MTH 251 Calculus 2,
*S'11*
- MTH 252 Multivariable Calculus,
*F'11*
- MTH 330 Mathematical Reasoning,
*S'12, F'12, F'14*
- MTH 371 *Mathematics of Secrets,
*W'12, W'15*
- MTH 430 Abstract Algebra,
*S'13, S'14*
- MTH 460 Senior Seminar,
*S'12, F'13*

### Courses at Arizona State

- MAT 117 College Algebra,
*F'04*
- MAT 119 Finite Mathematics,
*Sp'05*
- MAT 142 College Mathematics,
*Su'05, F'05, Su'06, Su'07, Su'08, F'08*
- MAT 210 Brief Calculus,
*Sp'06, F'06, F'08*
- MAT 265 Calculus for Engineers I,
*F'09*
- MAT 267 Calculus for Engineeers III,
*Su'08, F'08, Su'09*
- MAT 270 Calculus with Analytic Geometry I,
*Sp'07*
- MAT 271 Calculus with Analytic Geometry II,
*F'07*
- MAT 272 Calculus with Analytic Geometry III,
*Sp'08*
- MAT 300 Mathematical Structures,
*Su'09, Sp'10*

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Publications

* denotes an undergraduate coauthor

*A linear resolvent for degree 14 polynomials*, with E. Strosnider*, Topics from the 9th Annual UNCG Regional Mathematics and Statistics Conference, Springer Proceedings in Mathematics & Statistics, to appear
*Absolute resolvents and masses of irreducible quintic polynomials*, with C. Shill*, Topics from the 9th Annual UNCG Regional Mathematics and Statistics Conference, Springer Proceedings in Mathematics & Statistics, to appear
*Degree 14 2-adic fields*, with N. Miles*, J. Milstead, C. Shill*, and E. Strosnider*, Involve, to appear
*Galois groups of degree 12 2-adic fields with trivial automorphism group*, with B. Barkley*, N. Miles*, C. Shill*, and E. Strosnider*, submitted
*Degree 12 2-adic fields with automorphism group of order 4*, with B. Barkley*, N. Miles*, C. Shill*, and E. Strosnider*, Rocky Mountain Journal of Mathematics, to appear
*Resolvents, masses, and Galois groups of irreducible quartic polynomials*, with B. Barkley*, M. McCraw*, and J. Guinn*, Pi Mu Epsilon Journal, **64**, 609-618, *2014*
*Galois groups of degree 12 2-adic fields with automorphism group of order 6 or 12*, with C. Shill*, Topics from the 8th Annual UNCG Regional Mathematics and Statistics Conference, Springer Proceedings in Mathematics & Statistics, **64**, 55-65, *2013*
*Impossible geometric constructions: a calculus writing project*, PRIMUS, **23**, 141-149, *2013*
*Dihedral p-adic fields of prime degree*, with T. Edwards*, Int. J. Pure Appl. Math., **75**, 185-194, *2012*
*Masses, discriminants, and Galois groups of tame quartic and quintic extensions of local fields*, Houston J. Math., **38**, 397-404, *2012*
*Dodecic 3-adic fields*, Int. J. Number Theory, **8**, 933-944, *2012*
*On Galois groups of totally and tamely ramified sextic extensions of local fields*, Int. J. Pure Appl. Math., **70**, 855-863, *2011*