Dr. John Charles Saunders

Assistant Professor

Dr. John Charles Saunders
Room 273, Kirksey Old Main (KOM)
MTSU Box 34, Murfreesboro, TN 37132

Departments / Programs

Degree Information

  • PHD, University of Waterloo (2018)
  • MS, University of Waterloo (2013)
  • BS, Acadia University (2011)

Areas of Expertise

Analytic number theory, algebraic number theory, combinatorial number theory, elementary number theory, random graph theory, probability, combinatorics.

Biography

Hello, I'm J.C. Saunders and I'm an Assistant Professor in the Department of Mathematical Sciences at Middle Tennessee State University. My research is in the areas of number theory, probability, and combinatorics. My Erdös number is 3. Before coming to MTSU, I was a postdoctoral associate at the University of Calgary in Canada and an Azrieli postdoctoral fellow at Ben-Gurion University of the Negev in Israel (under the superivision of Dr. Dang Khoa Nguyen and Dr. Daniel Berend...

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Hello, I'm J.C. Saunders and I'm an Assistant Professor in the Department of Mathematical Sciences at Middle Tennessee State University. My research is in the areas of number theory, probability, and combinatorics. My Erdös number is 3. Before coming to MTSU, I was a postdoctoral associate at the University of Calgary in Canada and an Azrieli postdoctoral fellow at Ben-Gurion University of the Negev in Israel (under the superivision of Dr. Dang Khoa Nguyen and Dr. Daniel Berend, respectively). I graduated with my PhD in pure mathematics from the University of Waterloo in 2018 under the supervision of Dr. Kevin Hare and Dr. Yu-Ru Liu. My office is in Room 273 in Kirskey Old Main on the MTSU campus and my email is John.Saunders@mtsu.edu. I'm originally from Nova Scotia, Canada. My pronouns are he, his, and him.

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Publications

Links direct you to the arXiv versions.

Lebowitz-Lockhard, Noah, and J.C. Saunders. ``Arithmetic functions that remain constant on strings of integers." Submitted.

Liu, Yu-Ru, and J.C. Saunders. ``Sieve methods in random graph theory." Graphs and Combinatorics 39.3 (2023): 39.

Bell, Jason, Keira Gunn, Dang Khoa Nguyen, and J.C. Saunders. ``

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Links direct you to the arXiv versions.

Lebowitz-Lockhard, Noah, and J.C. Saunders. ``Arithmetic functions that remain constant on strings of integers." Submitted.

Liu, Yu-Ru, and J.C. Saunders. ``Sieve methods in random graph theory." Graphs and Combinatorics 39.3 (2023): 39.

Bell, Jason, Keira Gunn, Dang Khoa Nguyen, and J.C. Saunders. ``A general criterion for the Polya-Carlson dichotomy and application." Transactions of the American Mathematical Society 376.06 (2023): 4361-4382.

Saunders, J.C. ``The number of $k$-tons in the coupon collector problem." Journal of Applied Probability (2023): 1-14.

Saunders, J.C. ``The Euler totient function on Lucas sequences." International Journal of Number Theory 19.02 (2023): 293-330.

Ching, Hsin-Yun, Rigoberto Florez, Florian Luca, Antara Mukherjee, and J.C. Saunders. ``Primes and composites in the determinant Hosoya triangle." The Fibonacci Quarterly 60.5 (2022): 56-110.

Florez, Rigoberto, and J.C. Saunders. ``Irreducibility of generalized Fibonacci polynomials." Integers 22 (2022): 1-16.

Barak-Pelleg, Dina, Daniel Berend, and J.C. Saunders. "A model of random industrial SAT." Theoretical Computer Science 910 (2022): 91-112.

Hare, Kevin, and J.C. Saunders. ``Generalised Fibonacci sequences constructed from balanced words." Journal of Number Theory 231 (2022): 349-377.

Saunders, J.C. ``Density of sequences of the form x_n=f(n)^n in [0,1]." Acta Arithmetica 201 (2021): 165-175.

Saunders, J.C. ``Diophantine equations involving the Euler totient function." Journal of Number Theory 209 (2020): 347-358.

Hare, Kevin G., and J.C. Saunders. ``On (a,b) pairs in random Fibonacci sequences." Journal of Number Theory 190 (2018): 352-366.

Saunders, J.C. ``Mahler measure of ``almost" reciprocal polynomials." Bulletin of the Australian Mathematical Society (2018): 1-7.

Saunders, J.C. ``Sums of digits in q-ary expansions." International Journal of Number Theory 11.02 (2015): 593-611.

Mendivil, Franklin, and J.C. Saunders ``On Minkowski measurability." Fractals 19.4 (2011): 455-467.

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Presentations

See CV.

Awards

See CV.

Courses

I am teaching Math 3460 Foundations of Higher Mathematics and Math 4700/5700 Combinatorics and Graph Theory this Spring 2024 term.