About Me

Hello, I'm Kilian Koch, a mathematician and software developer. I have a master's degree in mathematics with a minor in Computer Science Applications. My main focus is on Applied Analysis and Mathematical Physics.

In mathematics I work on gradient flow analysis, in particular on well-posedness and singular behaviour, e.g. due to topological constraints, such as the harmonic map heat flow. In software, I develop practical solutions to real-world problems, such as business workflow automation and customer data management.

Through my experience of working directly with customers at various events and managing information, I have developed strong customer communication skills. The combination of maths and software development gives me excellent problem solving skills.

Outside of work, I enjoy calisthenics, weight training, and boxing.

Resume

Professional Experience

RWTH Aachen, Aachen PhD Student
April 2024 – Present
Doctoral candidate at the Chair of Applied Analysis.
RWTH Aachen, Aachen Mathematics Tutor
October 2020 – March 2024
Held various tutoring positions, including Preliminary Course Tutor, Analysis 1-3 Tutor, Function Theory I Tutor, and Functional Analysis Tutor.
Auto-Koch, Eschweiler Programmer
October 2019 – Present
Primarily responsible for developing the management system KoKi for handling customer and vehicle data. Additionally involved in redeveloping a scheduling program, focusing on desktop applications and locally used websites using JavaScript.
Auto-Koch, Eschweiler Customer Service
February 2018 – Present
Regularly engaged in customer service roles, including working at the information desk and participating in exhibitions at Autohaus Koch.

Education

RWTH Aachen, Aachen PhD in Mathematics
April 2024 – Present(Ongoing)
RWTH Aachen, Aachen M.Sc. Mathematics, with distinction(1,2)
October 2022 – April 2024
RWTH Aachen, Aachen B.Sc. Mathematics, with distinction(1,3)
October 2019 – October 2022
Mies van der Rohe School, Aachen High School Diploma (Abitur)
August 2016 – August 2019
Realschule Patternhof, Eschweiler Intermediate School Leaving Certificate (Mittlere Reife)
August 2010 – August 2016

Teaching Experience

RWTH Aachen, Aachen Partielle Differentialgleichungen 1 | Assistant
April 2025 – September 2025

Professor: Prof. Dr. rer. nat. Christof Melcher
Colleague: Glal Bacho, M.Sc.
Tasks: Created exercises, held exercise sessions, corrected exams, and prepared exam questions.
International Academy RWTH Aachen, Aachen Mathematics III | Co-lecturer
August 2024 – September 2024

Lecturer: Prof. Dr. rer. nat. Christof Melcher
Colleagues: Georg Heinen, M.Sc., Glal Bacho, M.Sc.
Tasks: Conducted interactive online exercise sessions for international students, provided academic support and created learning materials.
Partners: RWTH Aachen University, proRWTH-Freunde and Förderer der RWTH Aachen e.V.
RWTH Aachen, Aachen Analysis 3 für Mathematiker | Assistant
October 2024 – March 2025

Professor: Prof. Dr. rer. nat. Christof Melcher
Colleague: Glal Bacho, M.Sc.
Tasks: Created exercises, held exercise sessions, corrected exams, and prepared exam questions.
RWTH Aachen, Aachen Höhere Mathematik 2 für Physiker und E-Techniker | Assistant
April 2024 – September 2024

Professor: Prof. Dr. Sebastian Noelle
Lecturer: Priv.-Doz. Dr. Olaf Wittich
Colleague: Tom Goertzen, Postdoctoral Research Associate
Tasks: Developed digital exercises, conducted exercise sessions, and graded exams.

Soft Skills

Effective customer communication
Gained from extensive experience working directly with customers at events, information desks, and exhibitions.
Teaching and communication skills
Enhanced through tutoring various mathematics courses, explaining complex concepts clearly and engaging with students.
Strong problem-solving abilities
Developed through tackling complex mathematical challenges and creating efficient software solutions to real-world problems.
Attention to detail
Required for both rigorous mathematical analysis and precise software development, where small errors can lead to significant issues.
Adaptability and quick learning
Demonstrated through switching between academic research in mathematics and practical software development, quickly adapting to different problem domains.

Programming Languages

HTML, CSS – UI Development Basics

Proficient in HTML and CSS, with a strong understanding of foundational web design and user interface development.
JavaScript – Web and Server-Side Scripting

Primarily used in web development and server-side programming with Node.js applications, building both front-end interfaces and back-end logic.
C++ and C – Academic Projects

Gained proficiency in C++ and C through a full academic year of hands-on projects, including software development and system programming.
Python – Small Projects and Data Analysis

Experienced in building small-scale projects and performing basic data analysis using Python’s versatile libraries.
Haskell, Prolog, Java – Foundational Knowledge

Acquired basic knowledge of Haskell, Prolog, and Java during university coursework, focused on functional and logic programming.

Awards

RWTH Dean's List, Winter Semester 2021/22 - Summer Semester 2022
RWTH Dean's List, Winter Semester 2020/21 - Summer Semester 2021
RWTH Dean's List, Winter Semester 2019/20 - Summer Semester 2020

Languages

German Native (C2)
English C1
Japanese N4 (≈ A2–B1)