AXIOM · Paris · PhD

Turn complex data &
mathematics
into real results

PhD-level consulting in applied mathematics, machine learning, AI and data science. I solve problems that generalist developers can't.

Results-focused. Rigorous. Delivered on time.

Book a free discovery call See services

PhD, INSA Rouen 2024

Former CNRS Engineer

10+ yrs experience

Paris-based

Why AXIOM

Sound familiar?

😓Common frustrations

Your ML model is a black box — no one can explain why it fails
Developers write code but lack the math to build rigorous solutions
You need a statistician who also codes — and can explain results
LLMs give you generic answers; you need scientific precision
Your student is drowning in advanced mathematics

✨AXIOM solves this

Mathematical foundations that make ML models explainable and robust
PhD-level rigour combined with production-ready Python code
One expert covering statistics, modelling AND implementation
Scientific precision applied to LLM systems and data pipelines
Clear, patient teaching from L1 to M2 level mathematics

Services

What I offer

∫

Applied Mathematics Consulting

Mathematical modelling, numerical simulations, variational methods, PDE analysis. For research institutions and industry.

∑

Higher Mathematics Tutoring

L1 to M2 level: analysis, linear algebra, topology, probability, PDE, numerical methods. Individual or group sessions.

⊗

Machine Learning & AI

End-to-end ML pipelines, model design, validation, explainability. From classical algorithms to deep learning.

◈

Large Language Models

LLM integration, prompt engineering, RAG architectures, fine-tuning strategies for scientific and enterprise use cases.

≈

Data Science & Analysis

Statistical analysis, data approximation, signal & image processing, visualization. Python-based, reproducible.

◎

Scientific Computing

Finite elements, optimization, numerical algorithms, reproducible scientific code for research and applied problems.

How it works

Simple, transparent process

Free Call

30-min discovery session to understand your project, scope and goals. No commitment.

Proposal

Clear scope, timeline and fixed price quotation within 48 hours.

Delivery

Rigorous work delivered with documentation. Regular updates throughout.

Follow-up

Post-delivery support to ensure everything works as expected.

About

Guzel Khayretdinova

I am a Doctor in Applied Mathematics from Normandie Université – INSA Rouen Normandie (2024). Former Research Engineer at CNRS (FR CNRS 3335, 2024–2025), where I led research in data approximation, image processing and mathematical modelling.

With over 10 years of teaching from L1 to M2, I combine deep theoretical knowledge with hands-on Python implementation. I have presented at SIAM Analysis on PDE (2025) and SMAI 2023.

I speak French, English, Russian and German — and I founded AXIOM in 2026 to bring PhD-level rigour to consulting in mathematics, AI and data science.

🎓

PhD Applied Mathematics — Normandie Université / INSA Rouen, 2024

🔬

Research Engineer — CNRS FR 3335, Normandie Mathématiques, 2022–2025

📍

50 av. des Champs-Élysées, 75 008 Paris, France

📅

Beginning activity: from July 2026

ApproximationPDEMachine Learning Image ProcessingNumerical Analysis OptimizationStatisticsPythonLLMs

Technical Skills

Areas of Expertise

∫ Applied Mathematics

PDE Variational methods Dm-splines Finite elements (FEM) Topology optimization Numerical schemes Hilbert spaces Functional analysis

⊗ Machine Learning & AI

Supervised / Unsupervised learning Deep learning PyTorch scikit-learn Model explainability LLM fine-tuning RAG architectures Prompt engineering

≈ Data Science & Statistics

Statistical modelling Signal processing Image segmentation Data approximation NumPy / SciPy / pandas Plotly / matplotlib LIDAR data Wind field modelling

◎ Scientific Computing & Tools

Python MATLAB FEniCS / FreeFEM Gmsh ParaView / VTK LaTeX HuggingFace LangChain

Publications & Work

Selected Research

2025

SIAM Analysis on PDE — International Conference

Data approximation and variational methods — Society for Industrial and Applied Mathematics.

Conference

2024

PhD Thesis — Image Segmentation with Geometric Conditions

Normandie Université / INSA Rouen Normandie (LMI – UR3226). Supervisors: C. Gout, S. Kuksenko.

PhD

2023

SMAI 2023 — Guadeloupe, France

International conference of the French Mathematical Society.

Conference

2022–25

CNRS — Wind Velocity Field Approximation

Data approximation, image processing, wind velocity modelling at FR CNRS 3335.

CNRS

FAQ

Common questions

I work on mathematical modelling, ML/AI systems, data analysis, scientific computing, and higher mathematics tutoring — for startups, research labs, industrial companies, and individual students. Projects can be short (a few days) or long-term (several months).

I provide fixed-price quotes after the free discovery call. For ongoing work, hourly rates are available. All pricing is transparent — no surprises.

Yes, I am happy to sign a non-disclosure agreement before any project discussion. Confidentiality is taken seriously.

I work in French, English, Russian and German. Documentation, reports and teaching sessions can be delivered in any of these languages.

Typically within 1–2 weeks of signing the agreement. For urgent projects, expedited start may be possible — mention this in your message.

Ready to solve your hardest problems?

Book a free 30-minute call. No commitment. Just an honest conversation about your project.

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Let's work together

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50 av. des Champs-Élysées · 75 008 Paris · France
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Turn complex data & mathematics into real results