Q1 Journal
Numerical solution of nonlinear Abel integral equations: hp-version collocation approach
Applied Numerical Mathematics, 161 (2021)
Ph.D. Applied Mathematics (IUST), M.Sc. (Rafsanjan), B.Sc. (Shiraz)
r.dehbozorgi2012@gmail.com · +98 910 007 4178
PDEs, numerical analysis and deep generative models
7 Q1 journal papers & 7 conference papers
6+ years postdoctoral research at IASBS
Languages, frameworks & scientific computing tools
Applied mathematician and deep learning researcher, six-plus years at the intersection of scientific computing and generative AI.
Core expertise spans PDE&IE-based modelling, numerical analysis, and deep generative models — including CGANs and diffusion models such as DDPM, DDIM, LDM, DBSM and DBM — applied to inverse problems, computational pathology, and healthcare imaging.
Author of 7 peer-reviewed journal papers (5 of them Q1-ranked) and 7 conference papers, with 2 further works under review. Now seeking to bring this scientific ML/DL background to applied research, R&D, or scientific computing roles in industry.
Postdoctoral research, lecturing and teaching assistantships across six-plus years.
Designed a Deep Ritz learning framework for solving elliptic PDEs using finite-element datasets (FreeFem++) to constrain and validate neural network solutions, tested on Poisson and Schrödinger equations against classical FEM baselines.
Developed an adaptive hp-collocation method for nonlinear Abel inverse problems (existence, uniqueness, stability and error analysis in weighted Sobolev space), and engineered a Galerkin FEM/SEM solver for nonlinear fractional boundary value problems.
Taught 6 core mathematics courses (Calculus I/II, ODEs, Linear Algebra, Numerical Analysis, Probability, Applied Mathematics in Finance) to undergraduate cohorts of 40–60 students.
Taught Calculus I/II, ODEs and Numerical Analysis to undergraduate cohorts of 40–60 students.
Supported instruction across 4 advanced courses and co-supervised at least 7 master's students through completion of their thesis research.
Project-based instruction, research and consulting in Python, MATLAB, C++, Java, ML/DL, data analysis, Power BI and Arduino.
Reviewing, membership, awards and selected AI projects.
Journal reviewer for AMS MathSciNet, Journal of Computational and Applied Mathematics, JAMP, FILOMAT, Mathematical Modeling Journal and Mathematical Science Journal. Conference reviewer, 51st Annual Iranian Mathematics Conference (2021). Member, American Mathematical Society & Iranian Mathematical Society. Book editor, "Introduction to Mathematics" (Prof. Sepehri, Shiraz University).
First-ranked graduate student across all degrees (GPA ≈ 4.0). Rank 23 of ~8,000 in the national Ph.D. entrance exam; member, Distinguished Talent Society (2018). Ph.D., M.Sc. and B.Sc. government scholarships (2005–2018).
Segmentation of brain regions for Multiple Sclerosis diagnosis via VGG19, VGG16 and ResNet50. Signal processing for speech using FFT and wavelet transforms. Image retrieval using invariant Krawtchouk moments.
Continued learning across machine learning, generative models and applied AI.
The connective tissue between rigorous numerical analysis and modern generative modelling.
Languages, frameworks and scientific-computing tools used across research and teaching.
7 Q1 journal papers, 7 conference papers, and ongoing work in generative modelling for science.
Applied Numerical Mathematics, 161 (2021)
Numerical Algorithms (2021)
Mediterranean Journal of Mathematics, 18 (2021)
Journal of Applied Numerical Mathematics, 150 (2020)
Journal of Computational and Applied Mathematics, 344 (2018)
Mathematical Communications (2018)
Computational Methods for Differential Equations (2024)
4th Conf. on Numerical Methods for Fractional-Derivative Problems, Beijing, 2020
World Congress on Engineering, London, 2016 · cited 17+
49th Annual Iranian Mathematics Conference, Tehran, 2018
49th Annual Iranian Mathematics Conference, Tehran, 2018
49th Annual Iranian Mathematics Conference, Tehran, 2018
9th Seminar on Nonlinear Analysis, Qazvin, 2018
9th Seminar on Nonlinear Analysis, Qazvin, 2018
Journal of Pathology Informatics — major revision, 2025
Multimedia Tools and Applications, 2024 · cited 10+
2024 · funded by Iran National Science Foundation
Open to applied research, R&D and scientific computing roles. Reach out directly, or use the form below.