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, with a focus on p-adic numbers, their extensions, and computational Galois theory. Other professional interests include mentoring undergraduate research, presenting at national and regional conferences, and engaging in the scholarship of teaching and learning.

A passionate 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. During the years 2012-2014, Dr. Awtrey will conduct SoTL research on Writing to Learn and Writing in the Disciplines for his CATL Scholars project, which is funded by a generous grant through Elon University's Center for the Advancement of Teaching and Learning.

For more information, please visit Dr. Awtrey's Homepage.

• Ph.D. in Mathematics, Arizona State University, Tempe, AZ, 2010
  • Thesis: Dodecic Local Fields
  • Advisor: John W. Jones
• M.A. in Mathematics, Arizona State University, Tempe, AZ, 2006
• B.A. in Mathematics and Music Performance, University of Wisconsin, Madison, WI, 2004
  • Graduated with Honors in both majors
  • Dale W. Gilbert Memorial Scholarship
  • UW-SMC Full-Tuition Scholarship

Courses at Elon

* denotes a course I created

• MTH 112 General Statistics, Fall 2010
• MTH 121 Calculus 1, Fall 2010, Fall 2011, Spring 2012, Spring 2013
• MTH 221 Calculus 2, Spring 2011
• MTH 231 Mathematical Reasoning, Spring 2012, Fall 2012
• MTH 312 Abstract Algebra, Spring 2013
• MTH 321 Multivariable Calculus, Fall 2011
• MTH 371 *Mathematics of Secrets, Winter 2012
• MTH 460 Senior Seminar I, Spring 2012

Courses at Arizona State

• MAT 117 College Algebra, Fall 2004
• MAT 119 Finite Mathematics, Spring 2005
• MAT 142 College Mathematics, Summer 2005, Fall 2005, Summer 2006, Summer 2007, Summer 2008, Fall 2008
• MAT 210 Brief Calculus, Spring 2006, Fall 2006, Fall 2008
• MAT 265 Calculus for Engineers I, Fall 2009
• MAT 267 Calculus for Engineeers III, Summer 2008, Fall 2008, Summer 2009
• MAT 270 Calculus with Analytic Geometry I, Spring 2007
• MAT 271 Calculus with Analytic Geometry II, Fall 2007
• MAT 272 Calculus with Analytic Geometry III, Spring 2008
• MAT 300 Mathematical Structures, Summer 2009, Spring 2010

Undergraduate Research

• Nicole Miles, Christopher Shill, and Erin Strosnider, 2013, Quardecic 7-adic fields of degree 14
• Brett Barkley and Christopher Shill, 2013, Computing Galois groups of non-Galois 2-adic fields of degree 14
• Nicole Miles and Erin Strosnider, 2013, Degree 14 2-adic fields having quadratic and septic subfields
• Kate Easom, Jeremy Guinn, and Blaire Zachary, 2013, A linear resolvent for degree 14 polynomials with even Galois group
• Brett Barkley and Christopher Shill, 2012, Degree 12 extensions of the 2-adic numbers
• Jeremy Guinn, 2012, A degree 12 resolvent for quartic polynomials
• Brett Barkley, 2012, Galois groups of Galois extensions
• Christopher Shill, 2012, Galois p-adic fields
• Jeremy Guinn, 2012, Galois groups of irreducible quintic polynomials
• Brett Barkley and Mackenzie McCraw, 2011, Absolute resolvents for quartic polynomials
• Trevor Edwards, 2011, On Galois groups of cubic p-adic fields
• Bret Latter, 2011, Mad vet scenarios with cyclic menageries

• CURM Mini Grant, 2013-2014, Center for Undergraduate Research in Mathematics
  (for Galois Groups of Degree 14 Extensions of the p-adic Numbers).
• CATL Scholar, 2012-2014, Elon University
  (for Enhancing Students' Understanding of Calculus Through Writing).
• Released Time Fellowship, 2013, Elon University
  (for Cubic p-adic Numbers and Galois Theory).
• Summer Research Fellowship, 2012, Elon University
  (Fundamental Properties of Galois p-adic Numbers).

* denotes an undergraduate coauthor

1. Resolvents, masses, and Galois groups of irreducible quartic polynomials, with Brett Barkley*, Mackenzie McCraw*, and Jeremy Guinn*, Pi Mu Epsilon Journal, to appear
2. Galois groups of degree 12 2-adic fields with automorphism group of order 6 or 12, with Christopher Shill*, Springer Proceedings of Mathematics and Statistics, to appear
3. Impossible geometric constructions: a calculus writing project, PRIMUS, 23, 141-149, 2013
4. Dihedral p-adic fields of prime degree, with Trevor Edwards*, Int. J. Pure Appl. Math., 75, 185-194, 2012
5. Masses, discriminants, and Galois groups of tame quartic and quintic extensions of local fields, Houston J. Math., 38, 397-404, 2012
6. Dodecic 3-adic fields, Int. J. Number Theory, 8, 933-944, 2012
7. On Galois groups of totally and tamely ramified sextic extensions of local fields, Int. J. Pure Appl. Math., 70, 855-863, 2011

1. Counting dihedral p-adic fields, with Trevor Edwards, MAA Sectional Meeting, Winthrop University, Rock Hill, SC, 2013
2. Galois 2-adic fields of degree 12, with Christopher Shill, MAA Sectional Meeting, Winthrop University, Rock Hill, SC, 2013
3. Galois 2-adic fields of degree 12, with Christopher Shill, AMS/MAA Joint Mathematics Meetings, San Diego, 2013
4. Galois groups of sextic p-adic fields, AMS/MAA Joint Mathematics Meetings, San Diego, 2013
5. Impossible Geometric Constructions in Second Semester Calculus, AMS/MAA Joint Mathematics Meetings, San Diego, 2013
6. Dodecic 3-adic fields, AMS/MAA Joint Mathematics Meetings, San Diego, 2013
7. Galois 2-adic fields of degree 12, with Christopher Shill, Undergraduate Research Conference, Greensboro, NC, 2012
8. Local fields with dihedral Galois group, Mathfest, Madison, WI, 2012
9. Galois-theoretic invariants of sextic extensions of p-adic fields, Mathfest, Madison, WI, 2012
10. Writing and rewriting concept summaries in a first-semester calculus course, Mathfest, Madison, WI, 2012
11. Computing arithmetic invariants of p-adic fields, MAA Sectional Meeting, Clayton State University, Morrow, GA, 2012
12. Galois groups of cubic p-adic fields, with Trevor Edwards, MAA Sectional Meeting, Clayton State University, Morrow, GA, 2012
13. Computing Galois-theoretic invariants of p-adic fields, Mathematics Seminar, University of North Carolina, Greensboro, NC, 2012
14. Dihedral p-adic fields, AMS/MAA Joint Mathematics Meetings, Boston, MA, 2012
15. Dodecic 3-adic fields, Palmetto Number Theory Series XVII, Clemson University, 2011
16. Calculus: doing it write, North Carolina Council of Teachers of Mathematics, Greensboro, NC, 2011
17. Computational Galois theory for p-adic fields, AMS Sectional Meeting, Winston-Salem, NC, 2011
18. Galois group computations via resolvents and subfields, Mathfest, Lexington, KY, 2011
19. Combining problem solving and writing in single variable calculus courses, Mathfest, Lexington, KY, 2011
20. Quintic polynomials and their solvability by radicals, Mathfest, Lexington, KY, 2011
21. Galois groups of cubic p-adic fields, with Trevor Edwards, Mathfest, Lexington, KY, 2011
22. Solvability of irreducible quintic polynomials, Spring Undegraduate Research Forum, Elon, NC, 2011
23. Computing Galois groups of p-adic fields, North Carolina Academy of Science, Elon, NC, 2011
24. On Galois groups of totally and tamely ramified sextic extensions of local fields, AMS/MAA Joint Mathematics Meetings, New Orleans, LA, 2011
25. Galois theory for tame dodecic local fields, AMS/MAA Joint Mathematics Meetings, San Francisco, CA, 2010
26. Computing Galois groups for dodecic local fields, Number Theory Seminar, Arizona State University, 2009
27. Writing teaching and research statements, Preparing Future Math Faculty Seminar, Arizona State University, 2009
28. Steps toward classifying degree 12 extensions of p-adic fields, Number Theory Seminar, Arizona State University, 2007
29. On the computation of all extensions of local fields of a given degree, Number Theory Seminar, Arizona State University, 2006
30. Applications of ramification groups to the Galois theory of local fields, Number Theory Seminar, Arizona State University, 2006