Employment

• Assistant Professor of Mathematics, Elon University, Elon, NC, 2010-present
• Graduate Teaching Associate, Arizona State University, Tempe, AZ, 2004-2010

Education

• Ph.D. in Mathematics, Arizona State University, Tempe, AZ, 2010
  • Thesis: Dodecic Local Fields
  • Adviser: 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, 2002
  • UW-SMC Full-Tuition Scholarship, 1999

Awards and Grants

• CATL Scholar, Cent. Adv. Teaching and Learning at Elon University, 2012-2014
• Released Time Fellowship, Fac. Research and Dev. at Elon University, 2013
• Summer Research Fellowship, Fac. Research and Dev. at Elon University, 2012
• Project NExT Fellow, MAA, 2010-2011
• PREP Travel Grant, MAA, 2010
• Professional Development Travel Award, GPSA at Arizona State University, 2010
• Conference Travel Grant, Grad. College at Arizona State University, 2009
• Graduate Travel Award, SoMSS at Arizona State University, 2009
• Dean's Distinguished Teaching Award, CLAS at Arizona State University, 2008
• Outstanding Teaching Associate Award, SoMSS at Arizona State University, 2006

Papers

1. Computing Galois groups of Galois extensions using Galois groups of subfields, with Brett Barkely*, in preparation
2. On the number of Galois 2-adic fields, with Chris Shill*, in preparation
3. On Galois groups of solvable quintic polynomials, with Jeremy Guinn*, in preparation
4. Automorphism groups, Galois groups, and centralizer orders, with Trevor Edwards*, submitted
5. Impossible geometric constructions: a calculus writing project, submitted
6. Absolute resolvents for irreducible quartic polnomials, with Brett Barkely* and Mackenzie McCraw*, submitted
7. Dihedral p-adic fields of prime degree, with Trevor Edwards*, Int. J. Pure Appl. Math., 75, 185-194, 2012
8. Masses, discriminants, and Galois groups of tame quartic and quintic extensions of local fields, Houston J. Math., 38, 397-404, 2012
9. Dodecic 3-adic fields, Int. J. Number Theory, 8, 933-944, 2012
10. On Galois groups of totally and tamely ramified sextic extensions of local fields, Int. J. Pure Appl. Math., 70, 855-863, 2011

Undergraduate Research

• Brett Barkley, 2012, Galois groups of Galois extensions
• Chris 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

Talks

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

Teaching

Courses at Elon

• MTH 112 General Statistics, Fall 2010
• MTH 121 Calculus 1, Fall 2010, Fall 2011, Spring 2012
• MTH 221 Calculus 2, Spring 2011
• MTH 231 Mathematical Reasoning, Spring 2012, Fall 2012
• 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