Research

1. On Hecke eigenvalues of cusp forms in almost all short intervals - International Journal of Number Theory, Vol. 18, No 04, pp.729-742

2. On the asymptotics of the shifted sums of Hecke eigenvalue squares - Forum Math 35 (2)), 297-328

3. On sum of Hecke eigenvalue squares over primes in very short intervals - Acta Arithmetica 205.4 289-301

4. Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues - International Journal of Number Theory 2024 20:06, 1565-1589 

5. Approximations of Hecke-Maass L-functions by short Dirichlet polynomials -Submitted

6. On the Rankin-Selberg problem in families -  Journal of Number Theory 252, 298-325

7. Ergodic averages with the Hecke eigenvalue square weights and the Piltz divisor function weights - Journal of Mathematical Analysis and Applications, Volume 531, Issue 2, Part 1, 2024,

8. On asymptotics of shifted sums of Dirichlet convolutions https://arxiv.org/abs/2310.00668

9. The divisor function over integers with a missing digit

https://arxiv.org/abs/2411.09076

10. Goldbach's Problem in short intervals for numbers with a missing digit https://arxiv.org/abs/2412.19975

March 2024 Shifted sums of multiplicative functons (Virtual) - Southern Regional Number Theory Conference 2024, 

Sep 2023 Approximations of Hecke-Maass L-functions and zero density estimates - AMS 2023 Fall Eastern Sectional Meeting 

Feb. 2023  Zero density estimates of L-functions, Graduate Student Seminar - SUNY Buffalo 

Nov. 2022 On the Rankin-Selberg problem in families, Seminar, Virtual- Academy of Mathematics and Systems Science, CAS, China, invited. 

Dec. 2021 Shifted sums of Hecke eigenvalue squares, Analysis Seminar, Virtual- SUNY Buffalo,

 2019 Correlations of divisor functions, Number Theory Reading Seminar- SUNY Buffalo