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Kyle Pratt

Contact Information

Office Address:
169 Altgeld Hall
E-mail: kpratt4 (at) illinois (dot) edu

Mailing Address:
Department of Mathematics
University of Illinois at Urbana-Champaign
1409 W. Green Street (MC-382)
Urbana, IL 61801

About Me

I am a fourth-year graduate student working with Kevin Ford. I am interested in number theory, especially prime numbers, sieve methods, exponential sums, and L-functions.


10. Primes from sums of two squares and missing digits, submitted for publication. arXiv
9. Average non-vanishing of Dirichlet L-functions at the central point, submitted for publication. arXiv
8. Combinatorial applications of autocorrelation ratios
with N. Robles, A. Zaharescu, D. Zeindler, submitted for publication. arXiv
7. Perturbed moments and a longer mollifier for critical zeros of zeta
with N. Robles, Res. Number Theory (2018) 4: 9. arXiv
6. A lower bound for the least prime in an arithmetic progression
with J. Li and G. Shakan, Q. J. Math. 68 (2017), no. 3, 729-758. arXiv
5. A generalization of the Schur-Siegel-Smyth trace problem
with G. Shakan and A. Zaharescu, J. Math. Anal. Appl. 436 (2016), no. 1, 489-500. arXiv
4. Coefficient bounds for level 2 cusp forms
with P. Jenkins, Acta Arithmetica 168 (2015), no. 4, 341-367. arXiv
3. Zeros of Dirichlet L-functions over function fields
with J. Andrade, S. J. Miller, and M. Trinh, Communications in Number Theory and Physics 8 (2014), no. 3, 511-539. arXiv
2. Special sets of primes in function fields
with J. Andrade, S. J. Miller, and M. Trinh, INTEGERS 14 (2014), #A18. arXiv
1. Interlacing of zeros of weakly holomorphic modular forms
with P. Jenkins, Proceedings of the American Mathematical Society, Series B 1 (2014), 63-77. arXiv
There may be differences between the arXiv version and the published version of a paper.


Fall 2017: I was a TA for sections ADC and ADJ of Math 220.

Spring 2017: I was a TA for sections DDC and DDD of Math 231.

Fall 2016: I was a TA for sections ADJ and ADK of Math 220.

Curriculum Vitae

CV (updated Aug 28, 2017)

Expository Notes

What is math research?

How to succeed in your UIUC math class