- 2021 - current: Associate Professor, California State University, Fresno
- 2015–2021: Assistant Professor, California State University, Fresno
- 2012-2015: Visiting Assistant Professor, Truman State University
- 2006–2012: Doctor of Philosophy in Mathematics, University of Illinois at Urbana-Champaign
- 2002–2006: Bachelor of Science in Mathematics and Computer Science, Truman State University
Complex Analysis Analytic Number Theory
Zero Distribution
Publications
- A. Goswami, K. Tran, A class of polynomials from enumerating queen paths, https://arxiv.org/pdf/2409.17148
- D. Ruth, K. Tran, Entire functions with an arithmetic sequence of exponents, https://arxiv.org/abs/2408.02096
- J. Chung, K. Tran, Zeros of Taylor polynomials formed by a three-term recurrence,
https://arxiv.org/abs/2304.12444
- G. Cheon, T. Forgacs, K. Tran, On the zeros of certain Sheffer sequences and their
cognate sequences, https://arxiv.org/abs/2301.04726
- G. Cheon, T. Forgacs, A. Mwafise, K. Tran, The zero locus and some combinatorial properties
of certain exponential Sheffer sequences, J. Math. Anal. Appl. Volume 539, Issue 1,
Part 1, 1 November 2024., https://doi.org/10.1016/j.jmaa.2024.128513, https://arxiv.org/abs/2205.15471
- S. Al Hamdani, K. Tran, Zeros of a binomial combination of Chebyshev polynomials,
International Journal of Number Theory, Vol. 18, No. 04, pp. 799-811 (2022). https://arxiv.org/abs/2006.11475
- J. Luong, K. Tran, Zeros of a table of polynomials satisfying a four-term contiguous
relation, Z. Anal. Anwend. (2022), DOI 10.4171/ZAA/1698.https://arxiv.org/abs/2008.08707
- G. Cheon, T. Forgacs, H. Kim, K. Tran, On combinatorial properties and the zero distribution
of certain Sheffer sequences, J. Math. Anal. Appl. , Volume 514, Issue 1, 1 October
2022, https://arxiv.org/abs/2103.01264
- K. Tran, M. Zhang, Linear combinations of polynomials with three-term recurrence.
Publications de l'Institut Mathematique 2021 Volume 110, Issue 124, Pages: 29-40 https://arxiv.org/pdf/1908.00043.pdf
- Tran, K., Zumba, A. Zeros of polynomials with four-term recurrence and linear coefficients. Ramanujan J 55, 447–470 (2021). https://doi.org/10.1007/s11139-020-00263-0. https://arxiv.org/pdf/1808.07133.pdf
- T. Forgacs, K. Tran, Hyperbolic polynomials and linear-type generating functions,
J. Math. Anal. Appl. Volume 488, Issue 2, 15 August 2020. https://arxiv.org/pdf/1810.01521.pdf
- K. Tran, A. Zumba, Zeros of polynomials with four-term recurrence. Involve, a Journal
of Mathematics Vol. 11 (2018), No. 3, 501–518. https://arxiv.org/pdf/1701.07814.pdf
- T. Forgacs, K. Tran, Zeros of polynomials generated by a rational function with a
hyperbolic-type denominator. Constr Approx (2017) 46:617–643. https://arxiv.org/pdf/1606.07125.pdf
- T. Forgacs, K. Tran, Polynomials with rational generating functions and real zeros,
J. Math. Anal. Appl. 443 (2016), 631–651. https://arxiv.org/pdf/1601.02582.pdf
- K. Tran, The root distribution of polynomials with a three-term recurrence, J. Math.
Anal. Appl. 421 (2015), 878–892. http://zimmer.fresnostate.edu/~khangt/rootsthreetermpolys.pdf
- K. Tran, Connections between discriminants and the root distribution of polynomials
with rational generating function, J. Math. Anal. Appl. 410 (2014), 330–340. http://zimmer.fresnostate.edu/~khangt/DiscRootPoly.pdf
- K. Tran, A. Zaharescu, Pair correlation of roots of rational functions with rational
generating functions and quadratic denominators, Ramanujan J. 31 (2013), no. 1, 129–145.
- K. Tran, Discriminants of Polynomials Related to Chebyshev Polynomials: The "Mutt
and Jeff" Syndrome, J. Math. Anal. Appl. 383 (2011), 120–129.
- A. Bostan, B. Salvy, K. Tran, Generating functions of Chebyshev-like polynomials,
Int. J. Number Theory 6 (2010), no. 7, 1659–1667.
- M. Erickson, S. Fernando, K. Tran, Enumerating rook and queen paths, Bull. Inst. Combin.
Appl. 60 (2010), 37–48.
- K. Tran, Discriminants of Chebyshev-like polynomials and their generating functions,
Proc. Amer. Math. Soc. 137 (2009), no. 10, 3259–3269.
Students' publications under my guidance
- Richard Adams, On hyperbolic polynomials with four-term recurrence and linear coefficients,
Calcolo 57 (2020), no. 3, Paper No. 22, 24 pp. 26C10.
- A. Mai, Exceptional zeros of polynomials satisfying a three-term recurrence, J. Pure
Appl. Algebra 222 (2018), no. 3, 534–545.
