cv

Basics

Name Karl Welzel
Label PhD Candidate in Mathematics
Affiliation University of Oxford
Email karl.welzel@maths.ox.ac.uk
Url karl.welzel.one

Education

  • 2022.01 - 2026.03

    Oxford, UK

    DPhil in Mathematics
    Numerical Analysis Group, Mathematical Institute, University of Oxford
    Thesis: "Tensor methods for continuous optimization" supervised by Prof. Raphael A. Hauser
  • 2020.10 - 2021.06

    Oxford, UK

    MSc in Mathematical Sciences
    University of Oxford
    Thesis: "Sketching for Infeasible Interior-Point Methods" supervised by Prof. Coralia Cartis
    Grade: Distinction, Ranking: 2/52
    • Continuous Optimization
    • Numerical Linear Algebra
    • Theories of Deep Learning
    • Approximation of Functions
  • 2017.10 - 2020.09

    Bonn, Germany

    BSc in Mathematics
    University of Bonn
    Thesis: "LogSumExp Objectives for VLSI Placement" supervised by Prof. Stephan Held
    Grade: 1.3
    • Introduction to Discrete Mathematics
    • Linear and Integer Programming
    • Combinatorics, Graphs and Matroids

Work

  • 2025.08 - 2025.10

    Munich, Germany

    Junior Consultant
    TNG Technology Consulting
    I helped develop an internal web application based on a modern stack of software tools while learning about many different aspects of managing large-scale software projects in a professional environment.
  • 2022.01 - Present

    Oxford, UK

    Mathematics Tutor and Teaching Assistant
    Mathematical Institute, University of Oxford
    I taught B6.3 Integer Programming to third-year undergraduates and C6.2 Continuous Optimization to masters students in the years 2022 to 2026. I was responsible both for marking the problem sheets and presenting the solutions on the whiteboard.
  • 2020.03 - 2020.08

    Bonn, Germany

    Undergraduate Research Assistant
    Research Institute for Discrete Mathematics, The University of Bonn
    As part of my Bachelor's thesis, I contributed to a large and mature C++ codebase developed at the Institute for Discrete Mathematics and used by IBM to optimize their chip designs.
  • 2019.02 - 2020.02

    Bonn, Germany

    System Administrator
    Research Institute for Discrete Mathematics, The University of Bonn
    Student associate as a system administrator for the Research Institute for Discrete Mathematics at the University of Bonn.

Volunteer

  • 2021.10 - 2023.03

    Oxford, UK

    Subject Editor for Mathematics & Production Lead
    St Catherine's Academic Review
    I participated in a student-run journal project, both as subject editor for Mathematics and typesetting the journal in LaTeX.
  • 2021.02 - 2021.06

    Oxford, UK

    MCR IT Officer
    St Catherine's College, University of Oxford
    I was part of the committee representing the community of graduate students (MCR) of St Catherine's College and helped modernise its website.

Awards

  • 2021.11.12
    DPhil Scholarship
    INNOHK and the Hong Kong Centre for Intelligent Multidimensional Data Analysis
    Funding research on tensor methods for continuous optimization

Skills

Software Project Management
Continuous Integration (CI)
Numerical Linear Algebra
Server Administration
Shell Scripting
Software Development
Python (Programming Language)
Numerical Analysis
Analytical Skills
IT Operations
C++
C (Programming Language)
Git
English
Numerical Optimization

Languages

German
Native proficiency
English
Full professional proficiency