Joshua Harrington

Assistant Professor of Mathematics
Chair of the Mathematics Department
Cedar Crest College
Office:
Curtis 221
Email:
 Joshua.Harrington@cedarcrest.edu





Educational Background

B.S. (Mathematics), Shippensburg University, Shippensburg, Pennsylvania, 2009

Ph.D (Mathematics), University of South Carolina, Columbia, South Carolina, 2013




Curriculum Vitae


Spring 2019 Schedule
Monday
Tuesday
Wednesday
Thursday
Friday
Office Hours: 7:00am-7:45am
MAT 142: 8:00am-8:50am
MAT 110: 9:00am-9:50am
MAT 141: 10:00am-10:50am
Office Hours: 11:00am-11:50am
Office Hours: 1:00-2:15
MAT 141: 2:30am-3:20am
MAT 142: 8:00am-8:50am
MAT 110: 9:00am-9:50am
MAT 141: 10:00am-10:50am
Office Hours: 11:00am-11:50am
MAT 142: 8:00am-8:50am
MAT 110: 9:00am-9:50am
MAT 141: 10:00am-10:50am
Office Hours: 11:00am-11:50am
Research

  1. On the iteration of a function related to Euler's phi-function with Lenny Jones, Integers 10, 2010.
  2. On the Factorization of the Trinomials x^n+cx^(n-1)+d, Int. J. Number Theory 8, 2012, 1513-1518.
  3. Arithmetic progressions in the polygonal numbers with Scott Dunn and Kenneth Brown, Integers 12, 2012.
  4. A polynomial investigation inspired by work of Schinzel and Sierpinski with Michael Filaseta, Acta Arith. 155, 2012, 149-161.
  5. Nonlinear Sierpinski and Riesel Numbers with Carrie Finch and Lenny Jones, J. Number Theory 133, 2013, 534-544.
  6. A class of irreducible polynomials with Lenny Jones , Colloq. Math. 132, 2013, 113-119.
  7. The reducibility of constant-perturbed products of cyclotomic polynomials with Lenny Jones and Daniel White, Int. J. Number Theory 10, 2013, 13-29.
  8. The Factorization of f(x)x^n+g(x) when deg f\leq 2 with Andrew Vincent and Daniel White, J. Theor. Nombres Bordeaux 25, no. 3, 2013, 565-578.
  9. Representing integers as the sum of two squares in the ring Zn with Lenny Jones and Alicia Lamarche, J. Integer Seq. 17, 2014, no. 7, Article 14.7.4.
  10. Coloring of Pythagorean triples within colorings of the positive integers with Joshua Cooper, Michael Filaseta, and Daniel White, J. Comb. Number Theory, 2014, Volume 6, Issue 1.
  11. Characterizing finite groups using the sum of the orders of the elements with Lenny Jones and Alicia Lamarche, Int. J. Comb., 2014, Art. ID 826141, 11pp.
  12. Extending a theorem of Pillai to quadratic sequences with Lenny Jones, INTEGERS 15A.
  13. Two questions concerning covering systems, Int. J. Number Theory 11, 2015, 1739-1750.
  14. Special numbers in the ring Zn with Samuel Gross, J. Integer Seq. 18, 2015, no 11, Article 15.11.3.
  15. A problem of Diophantus modulo a prime with Lenny Jones, Irish Math. Soc. Bull. no. 77 (2016), 45-49.
  16. Extending some irreducibility results of Finch and Jones with Lenny Jones, J. Comb. Number Theory 8 (2016), no. 2, 131-144.
  17. On the congruence x^x mod n with James Hammer and Lenny Jones, Integers 16, 2016.
  18. The irreducibility of power compositional polynomials and their Galois groups with Lenny Jones , Math. Scand. 120 (2017), no. 2, 5-16.
  19. New primitive covering numbers and their properties with Lenny Jones and Tristan Phillips, J. Number Theory 172, 2017, 160-177
  20. On consecutive primitive nth roots of unity modulo q with Thomas Brazelton, Siddarth Kannan, and Matthew Litman, J. Number Theory 174, 2017, 495-504.
  21. Sums of polynomial residues with Samuel Gross and Laurel Minott, Irish Math. Soc. Bull. no. 79 (2017), 31-37.
  22. Differences Between Elements of the Same Order in a Finite Field, with Lenny Jones, J. Number Theory 180, 2017, 443-459
  23. An equation involving arithmetic functions and Riesel numbers, with Lenny Jones, Integers 18, 2018.
  24. A new condition equivalent to the Ankeny-Artin-Chowla conjecture, with Lenny Jones, J. Number Theory 192, 2018, 240-250.
  25. A modification of a problem of Diophantus, with Lenny Jones, Math. Slovaca 68, no. 6, 2018, 1343-1352.




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