I am a Professor in the Department of Mathematics and Statistics, York University. My current research interests include stochastic processes, special functions, and computational mathematics. I also occasionally work on applied topics in financial and actuarial mathematics. Below, you can find my most recent curriculum vitae, along with my publications and code resources.

• CV (updated December 2025)
• Publications:  GoogleScholar, most are available as preprints on arXiv.org
• Professional profiles: Orcid,  Scopus 

Code & Computational Resources:

Here are downloadable code packages and numerical results associated with my published papers:

• MATLAB, Python, and Fortran programs for computing the Riemann zeta function and the logarithm of the Gamma function: Riemann_zeta_log_gamma.zip or github.com/Alexey-Kuznetsov-math
• Supplemental materials (Fortran code and coefficients c_j and λ_j) for the paper “Approximating functions on R⁺ by exponential sums” (arxiv.org/2508.19095): exp_sum_approximations.zip
• Supplemental materials (Fortran/MATLAB code and the pre-computed coefficients ω_p,j and λ_p,j) for the paper “Simple and accurate approximations to the Riemann zeta function” (arxiv.org/2503.09519): zeta_approximations_omega_and_lambda.zip
• Fortran code for computing the minimal Hermite-type basis of R^N (arxiv.org/1706.08740): Fortran90_minimal_Hermite_type_basis.zip
• Matlab program for computing Barnes G-function in the entire complex plane and the files containing coefficients of approximation (arxiv.org/2109.12061): computing_Barnes_G_function.zip
• The coefficients of the optimal approximation of a lognormal distribution (with parameter σ) as a convolution of n gamma distributions (www.researchgate.net/337053533): n10.zip, n20.zip
• MATLAB programs for computing the generalized beta function (arxiv.org/2305.00846): generalized_beta.zip
• MATLAB programs for symbolic computations in the paper “Darboux transformation of diffusion processes” (arxiv.org/2405.11051): check_symbolic_computations.zip
• Supplemental materials for the paper “On series expansions of zeros of the deformed exponential function” (arxiv.org/2412.02462). Coefficients of polynomials P_n(k) and \hat P_n(k): n<=100, 100<n<=200, 200<n<=300. The corresponding coefficients of shifted polynomials P_n(k+1) and \hat P_n(k+1): n<=100, 100<n<=200, 200<n<=300. Zeros of polynomials P_n(k) and \hat P_n(k).
• GNUFOR2 – Gnuplot/Fortran interface
• on-free-stable-distributions