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 2067 in the Science Building (SCI) 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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Links direct you to the arXiv versions.

Das, Pranabesh, and J.C. Saunders ``Products of Tribonacci Numbers that are the Products of Factorials." Submitted.

Lebowitz-Lockhard, Noah, and J.C. Saunders. ``Runs of integers with constant values of the Carmichael function." Accepted at Integers.

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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