Raghavendra N Bhat

I am a PhD student in Mathematics at the University of Illinois, Urbana-Champaign. I am currently being advised by Professors Alexandru Zaharescu and Bruce Berndt. My area of interest is Analytic Number Theory.I completed my Undergrad with a major in Mathematics and minor in Computer Science in December 2021, also from the University of Illinois.
Here is a detailed CV.

Publications (most recent first)

1. Berndt, B.C., Bhat, R., Meyer, J.L., Xie, L., Zaharescu, A. An Arithmetic Sum Associated with the Classical Theta Function. Results Math 81, 25 (2026). https://doi.org/10.1007/s00025-025-02584-2

2. Raghavendra N. Bhat, Cristian Cobeli, Alexandru Zaharescu. "A Lozenge Triangulation of the Plane with Integers". Mediterr. J. Math. 21, 190 (2024). https://doi.org/10.1007/s00009-024-02683-4.

3. Raghavendra N. Bhat, Cristian Cobeli, Alexandru Zaharescu. "Filtered rays over iterated absolute differences on layers of integers". Chaos, Solitons & Fractals, Volume 178, 2024. https://doi.org/10.1016/j.chaos.2023.114315.

4. Raghavendra N. Bhat, Cristian Cobeli, Alexandru Zaharescu. "On Quasi-Periodicity in Proth-Gilbreath Triangles" (accepted for publication: Bulletin Mathematique, Romania. Nov 2023).

5. Raghavendra N. Bhat. "An Abelian Loop for Non-Composites" Missouri Journal of Mathematical Sciences, Missouri J. Math. Sci. 34(2), 191-195, (Nov 2022).

6. Raghavendra N. Bhat. "Distribution of Square-Prime Numbers" Missouri Journal of Mathematical Sciences, Missouri J. Math. Sci. 34(1), 121-126, (May 2022).


Teaching


Spring 2026: Grader, Math 416 (Abstract Linear Algebra), Math 453 (Number Theory)
Fall 2025: Grader, Math 213 (Discrete Math), Math 453 (Number Theory), Math 531 (Analytic Number Theory)
Summer 2025: Grader, Math 444 (Real Analysis)
Spring 2025: Teaching Assistant, Math 227 (Linear Algebra for Data Science)
Fall 2024: Grader, Math 213 (Discrete Math), Math 453 (Number Theory)
Summer 2024: Instructor, Math 220 (Calculus)
Spring 2024: Teaching Assistant, Math 227 (Linear Algebra for Data Science)
Fall 2023: Teaching Assistant, Math 221 (Calculus 1)
Spring 2023: Teaching Assistant, Math 227 (Linear Algebra for Data Science)