Chad Awtrey

Assistant Professor of Mathematics
Duke 204C
2320 Campus Box
Elon, NC 27244
cawtrey@elon.edu (336) 278-6299

Professional Expertise

Number theory, undergraduate research

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. From 2013-2015, his work in mentoring undergraduate research was supported by a grant from the National Science Foundation (#DMS-1148695) through the Center for Undergraduate Research in Mathematics. In recognition of his success in mentoring undergraduate research, Dr. Awtrey received the 2014 Early Career Mentoring Award from the Division of Mathematics and Computer Science within the Council on Undergraduate Research (CUR).

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. From 2012-2014, Dr. Awtrey's SoTL research on Writing to Learn and Writing in the Disciplines was supported by a generous grant through Elon University's Center for the Advancement of Teaching and Learning.

From 2014-2017, Dr. Awtrey will serve as councilor for both CUR and Pi Mu Epsilon (PME), the national mathematics honor society. In addition, he currently serves on the Scientific Committee for the UNC Greensboro Regional Mathematics and Statistics Conference and as the Business Manager of the PME Journal.

Dr. Awtrey's Homepage.

Education

  • Ph.D. in Mathematics, Arizona State University, Tempe, AZ, 2010
  • 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 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

Research

Undergraduate Researchers

Name Year Support Grad School Current
Peter Jakes 2017 Honors Fellow, CURM    
Nicole Soltz 2017 SURE    
Sara Rodgers 2016      
Jesi Weed 2016 CURM    
Brett Barkley 2015      
John Johnson 2015      
Robin French 2015 SURE    
Nicole Miles 2015 CURM    
Jeremy Guinn 2014      
Mackenzie McCraw 2014     Mooresville High School, Mooresville, NC
Nakhila Mistry 2014   UMD College Park Fulbright in Sri Lanka
Christopher Shill 2014 CURM, Rawls Scholar UNC Chapel Hill  
Erin Strosnider 2014 CURM, Honors Fellow   Applied Physics Lab, Johns Hopkins University
Kate Easom 2013   UNC Chapel Hill  
Blaire Zachary 2013     Wells Fargo, Charlotte NC
Trevor Edwards 2012   NC State University IBM, Washington DC
Bret Latter 2011      

Undergraduate Research Projects

  1. Nicole Miles, Sara Rodgers, Nicole Soltz, and Jesi Weed, 2014, Galois groups of degree 15 p-adic fields
  2. John Johnson, 2014, Galois 2-adic fields of degree 16
  3. Robin French and Peter Jakes, 2014, Absolute resolvents for degree 6 polynomials
  4. Nicole Soltz, 2014, Discriminants and masses of cubic fields
  5. Christopher Shill, 2014, Absolute resolvents for irreducible sextic polynomials
  6. Nakhila Mistry, 2014, Centralizers and Galois groups of p-adic polynomials
  7. Peter Jakes, 2014, Algorithms for Galois groups of quintic polynomials
  8. Robin French, 2014, Quintic polynomials and their solvability by radicals
  9. Erin Strosnider, 2013-2014, Quardecic 7-adic fields of degree 14
  10. Christopher Shill, 2013, Absolute resolvents for irreducible quintic polynomials
  11. Nicole Miles, 2013-2014, Classifying degree 12 2-adic fields with automorphism group of order 4
  12. Brett Barkley and Christopher Shill, 2013, Computing Galois groups of non-Galois 2-adic fields of degree 14
  13. Nicole Miles and Erin Strosnider, 2013, Degree 14 2-adic fields having quadratic and septic subfields
  14. Kate Easom, Jeremy Guinn, and Blaire Zachary, 2013, A linear resolvent for degree 14 polynomials with even Galois group
  15. Brett Barkley and Christopher Shill, 2012, Degree 12 extensions of the 2-adic numbers
  16. Jeremy Guinn, 2012, A degree 12 resolvent for quartic polynomials
  17. Brett Barkley, 2012, Galois groups of Galois extensions
  18. Christopher Shill, 2012, Galois p-adic fields
  19. Jeremy Guinn, 2012, Galois groups of irreducible quintic polynomials
  20. Brett Barkley and Mackenzie McCraw, 2011, Absolute resolvents for quartic polynomials
  21. Trevor Edwards, 2011, On Galois groups of cubic p-adic fields
  22. Bret Latter, 2011, Mad vet scenarios with cyclic menageries

Undergraduates' Presentations

  1. Robin French, A new algorithm for Galois groups of quintic polynomials, AMS Sectional Meeting, Greensboro, NC, 2014
  2. Nicole Soltz, Counting roots and Galois groups, AMS Sectional Meeting, Greensboro, NC, 2014
  3. Robin French, A new algorithm for Galois groups of quintic polynomials, UNCG Regional Mathematics and Statistics Conference, Greensboro, NC, 2014
  4. Nicole Soltz, Counting roots and Galois groups, UNCG Regional Mathematics and Statistics Conference, Greensboro, NC, 2014
  5. Robin French, A new algorithm for Galois groups of quintic polynomials, MathFest, Portland, OR, 2014
  6. Nicole Soltz, Masses and discriminants of cubic polynomials, MathFest, Portland, OR, 2014
  7. Erin Strosnider, Galois theory of degree 14 p-adic fields, Spring Undergraduate Research Forum, Elon, NC, 2014
  8. Christopher Shill, Degree 5 polynomials and their solvability by radicals, Spring Undergraduate Research Forum, Elon, NC, 2014
  9. Nakhila Mistry, Centralizers and Galois groups of p-adic polynomials, Spring Undergraduate Research Forum, Elon, NC, 2014
  10. Nicole Miles, Degree 12 2-adic polynomials with mass 3, Spring Undergraduate Research Forum, Elon, NC, 2014
  11. Christopher Shill, Classifying degree 14 p-adic fields, Mathematics Seminar, University of North Carolina, Greensboro, NC, 2014
  12. Erin Strosnider, Classifying degree 14 p-adic fields, Mathematics Seminar, University of North Carolina, Greensboro, NC, 2014
  13. Christopher Shill, Degree 14 p-adic fields, Center for Undergraduate Research in Mathematics Spring Conference, Brigham Young University, UT, 2014
  14. Erin Strosnider, Degree 14 p-adic fields, Center for Undergraduate Research in Mathematics Spring Conference, Brigham Young University, UT, 2014
  15. Nicole Miles, Classifying degree 12 2-adic fields with automorphism group of order 4, AMS/MAA Joint Mathematics Meetings, Baltimore, MD, 2014
  16. Christopher Shill, Computing Galois groups of degree 12 2-adic fields with trivial automorphism group, AMS/MAA Joint Mathematics Meetings, Baltimore, MD, 2014
  17. Erin Strosnider, Degree 14 p-adic fields, AMS/MAA Joint Mathematics Meetings, Baltimore, MD, 2014
  18. Christopher Shill, Computing Galois groups of degree 12 2-adic fields with trivial automorphism group, UNCG Regional Mathematics and Statistics Conference, Greensboro, NC, 2013
  19. Erin Strosnider, Degree 14 p-adic fields, UNCG Regional Mathematics and Statistics Conference, Greensboro, NC, 2013
  20. Christopher Shill, Galois 2-adic fields of degree 12, Spring Undegraduate Research Forum, Elon, NC, 2013
  21. Christopher Shill, Galois 2-adic fields of degree 12, MAA Sectional Meeting, Winthrop University, Rock Hill, SC, 2013
  22. Christopher Shill, Galois 2-adic fields of degree 12, AMS/MAA Joint Mathematics Meetings, San Diego, CA, 2013
  23. Christopher Shill, Galois 2-adic fields of degree 12, Undergraduate Research Conference, Greensboro, NC, 2012
  24. Trevor Edwards, Galois groups of cubic p-adic fields, MAA Sectional Meeting, Clayton State University, Morrow, GA, 2012
  25. Trevor Edwards, Galois groups of cubic p-adic fields, Mathfest, Lexington, KY, 2011

Grants Awarded

  • Summer Research Fellowship, Elon University, $8,000, 2014.
  • Research Equipment Grant, Elon University, $4,000, 2014.
  • Center for Undergraduate Research in Mathematics Mini Grant, Center for Undergraduate Research in Mathematics, $20,000, 2013-2015.
  • Center for the Advancement of Teaching and Learning Scholars Grant, Elon University, $5,000 and course releases, 2012-2014.
  • Released Time Fellowship, Elon University, one course release, 2013.
  • Summer Research Fellowship, Elon University, $8,000, 2012.

Publications

* denotes an undergraduate coauthor

  1. 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
  2. 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
  3. Degree 14 2-adic fields, with N. Miles*, J. Milstead, C. Shill*, and E. Strosnider*, Involve, to appear
  4. Galois groups of degree 12 2-adic fields with trivial automorphism group, with B. Barkley*, N. Miles*, C. Shill*, and E. Strosnider*, submitted
  5. 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
  6. 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
  7. 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
  8. Impossible geometric constructions: a calculus writing project, PRIMUS, 23, 141-149, 2013
  9. Dihedral p-adic fields of prime degree, with T. Edwards*, Int. J. Pure Appl. Math., 75, 185-194, 2012
  10. Masses, discriminants, and Galois groups of tame quartic and quintic extensions of local fields, Houston J. Math., 38, 397-404, 2012
  11. Dodecic 3-adic fields, Int. J. Number Theory, 8, 933-944, 2012
  12. On Galois groups of totally and tamely ramified sextic extensions of local fields, Int. J. Pure Appl. Math., 70, 855-863, 2011

Presentations

  1. One approach to researching, presenting, and publishing with undergraduate pure math majors, International Conference on Advances in Interdisciplinary Statistics and Combinatorics, Greensboro, NC, 2014
  2. One approach to undergraduate research in computational Galois theory, MathFest, Portland, OR, 2014
  3. Irreducible quintic polynomials and their solvability by radicals, Spring Undergraduate Research Forum, Elon, NC, 2014
  4. Classifying degree 14 p-adic fields, Mathematics Seminar, University of North Carolina, Greensboro, NC, 2014
  5. A linear resolvent for degree 14 polynomials, AMS/MAA Joint Mathematics Meetings, Baltimore, MD, 2014
  6. Absolute resolvents for quartic polynomials, AMS/MAA Joint Mathematics Meetings, Baltimore, MD, 2014
  7. Computational Galois theory: absolute resolvents and subfield information, Mathematics Seminar, University of North Carolina, Greensboro, NC, 2013
  8. Degree 14 2-adic fields, Palmetto Number Theory Series XX, Davidson College, 2013
  9. Counting dihedral p-adic fields, MAA Sectional Meeting, Winthrop University, Rock Hill, SC, 2013
  10. Galois groups of sextic p-adic fields, AMS/MAA Joint Mathematics Meetings, San Diego, CA, 2013
  11. Impossible geometric constructions in second semester calculus, AMS/MAA Joint Mathematics Meetings, San Diego, CA, 2013
  12. Dodecic 3-adic fields, AMS/MAA Joint Mathematics Meetings, San Diego, CA, 2013
  13. Local fields with dihedral Galois group, Mathfest, Madison, WI, 2012
  14. Galois-theoretic invariants of sextic extensions of p-adic fields, Mathfest, Madison, WI, 2012
  15. Writing and rewriting concept summaries in a first-semester calculus course, Mathfest, Madison, WI, 2012
  16. Computing arithmetic invariants of p-adic fields, MAA Sectional Meeting, Clayton State University, Morrow, GA, 2012
  17. Computing Galois-theoretic invariants of p-adic fields, Mathematics Seminar, University of North Carolina, Greensboro, NC, 2012
  18. Computing Galois groups of ramified 3-adic fields of degree 12, AMS/MAA Joint Mathematics Meetings, Boston, MA, 2012
  19. Dihedral p-adic fields, AMS/MAA Joint Mathematics Meetings, Boston, MA, 2012
  20. Dodecic 3-adic fields, Palmetto Number Theory Series XVII, Clemson University, 2011
  21. Calculus: doing it write, North Carolina Council of Teachers of Mathematics, Greensboro, NC, 2011
  22. Computational Galois theory for p-adic fields, AMS Sectional Meeting, Winston-Salem, NC, 2011
  23. Galois group computations via resolvents and subfields, Mathfest, Lexington, KY, 2011
  24. Combining problem solving and writing in single variable calculus courses, Mathfest, Lexington, KY, 2011
  25. Quintic polynomials and their solvability by radicals, Mathfest, Lexington, KY, 2011
  26. Solvability of irreducible quintic polynomials, Spring Undegraduate Research Forum, Elon, NC, 2011
  27. Computing Galois groups of p-adic fields, North Carolina Academy of Science, Elon, NC, 2011
  28. On Galois groups of totally and tamely ramified sextic extensions of local fields, AMS/MAA Joint Mathematics Meetings, New Orleans, LA, 2011
  29. Galois theory for tame dodecic local fields, AMS/MAA Joint Mathematics Meetings, San Francisco, CA, 2010
  30. Computing Galois groups for dodecic local fields, Number Theory Seminar, Arizona State University, 2009
  31. Writing teaching and research statements, Preparing Future Math Faculty Seminar, Arizona State University, 2009
  32. Steps toward classifying degree 12 extensions of p-adic fields, Number Theory Seminar, Arizona State University, 2007
  33. On the computation of all extensions of local fields of a given degree, Number Theory Seminar, Arizona State University, 2006
  34. Applications of ramification groups to the Galois theory of local fields, Number Theory Seminar, Arizona State University, 2006

Service Activities

Awards