Lukáš Peřina

Mathematics, quant finance, ML.

Now:Analysis I, linear algebra

CSČesky

About

I study General Mathematics at the Faculty of Science of Masaryk University in Brno. I am in my first year, so most of my time goes into analysis, linear algebra and discrete mathematics.

Outside lectures I work towards quantitative finance and machine learning: I want to understand the models from the mathematics up, then write them in code and test them on real data.

I am looking for an internship where I can do that on real problems.

Projects

  1. 2026Simulated price paths fanning out from a single starting point

    Monte Carlo option pricer

    Sample project. Prices European and Asian options by simulation, compares variance reduction techniques and checks the results against the Black–Scholes formula.

    • Python
    • NumPy
    • sample
  2. 2026

    Gradient descent from scratch

    Sample project. Linear and logistic regression written without an ML library, with an interactive plot of the loss surface and the path the optimiser takes across it.

    • Python
    • ML
    • sample
  3. 2026

    Analysis I notes

    Sample project. Typeset lecture notes for Mathematical Analysis I: definitions, theorems and the proofs I had to work out myself.

    • LaTeX
    • sample

Studies and experience

  1. 2026 — now

    BSc General Mathematics · Masaryk University, Faculty of Science

    First year. Mathematical analysis, linear algebra, discrete mathematics and an introduction to programming.

    • Analysis
    • Linear algebra
    • Discrete mathematics
  2. 2022 — 2026

    Secondary school (sample entry) · School name

    Sample entry. Replace it with your school, graduation subjects, olympiads or anything else worth mentioning.

Contact

For internships, projects or a question about anything here, e-mail is the fastest way to reach me.

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