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Luka
- Rate US$70
- Response 1h

US$70/hr
1st lesson free
- Mathematics
- Algebra
- Arithmetic
- Geometry
- Algorithms
Olympiad-Level Problem-Solving Coach — MSc in Pure Mathematics (Sorbonne); 4× IMO participant; APMO & BMO silver medalist; ≈50 Olympiad participations; 30+ Olympiad medals; recommended by an IMO gold
- Mathematics
- Algebra
- Arithmetic
- Geometry
- Algorithms
Lesson location
Recommended
Luka is a respected member of our tutor community. He is highly recommended for his commitment and the quality of his lessons. An excellent choice to progress with confidence.
About Luka
I’ve competed in ~50 math Olympiads and have won about 34 medals, including silver medals at the BMO, APMO and IMC, as well as winning the national Olympiad three times (a national record). I completed my BSc in Pure Mathematics at the University of Belgrade 15 months ahead of schedule (10/10 GPA) and earned an M2 (MSc) at Sorbonne University specializing in arithmetic geometry and number theory. I have coached students who went on to win JBMO, BMO and IMO medals.
About the lesson
- Compulsory School
- Secondary School
- Higher Education
- +5
levels :
Compulsory School
Secondary School
Higher Education
Adult Education
Master
Doctorate
MBA
Pre-School
- English
- Croatian
- Serbian
- +1
All languages in which the lesson is available :
English
Croatian
Serbian
Bosnian
I begin with a short diagnostic to identify gaps and strengths, then build a structured plan tailored to the student. A typical lesson briefly reviews previous homework and focuses on the thorough understanding of the ideas behind a few problems, short theory micro-segments when needed, common techniques, and practice on how the student should discover the solution. Timed problem sets and mock contests are available on request. Lessons are aimed at Olympiad contestants, high-school students (IB and contest prep), and university students seeking support in proof-based courses.
Recommendations
Recommendations come from relatives, friends and acquaintances of the teacher
Luka has been a friend and teacher of mine for about a year. We met in a similar capacity as the service this site offers. He was my Number Theory lecturer during my weekly mentored training on Sundays at an Olympiad program. These Sundays always meant learning new methods on tackling the, mostly, beautiful yet difficult problems I might encounter in competitions. Even though I sometimes would get lost in the new ideas he always had a way to paint a clearer picture, for he had also been in my shoes as a competitor a few years prior. It is this recent, and rich, experience that allows him to connect to people who are learning difficult topics for the first time. However, this was not clear to me at the beginning—after all, I had just met him. But, that changed when he explained the many difficult results in the underlying ideas of Gaussian Integers and Unique Factorisation Domains as a whole. I had been trying to wrap my head around them for a week by myself unsuccessfully, until one Sunday morning it all clicked. He mentioned a personal anecdote that he was taught at university that also resonated with me. It is this application of personal experience, patience, and relatability that make him a world class teacher!
Luka is one of the most knowledgeable young mathematicians from North Macedonia. His hard work and determination are evident in his many accomplishments, including completing his undergraduate studies a year ahead of schedule. He has a genuine passion for mathematics and, more importantly, an ability to share that passion with others. Luka is also an excellent communicator; he is engaging, approachable, and always ready with an extra story that makes a conversation more memorable.
View more recommendations
Rates
Rate
- US$70
Pack prices
- 5h: US$335
- 10h: US$630
free lessons
The first free lesson with Luka will allow you to get to know each other and clearly specify your needs for your next lessons.
- 1hr
online
- US$70/h
Details
IB/ High-school lessons: $50/h
University-level lessons: $60/h
Olympiad preparation: $70/h
IB/ High-school package (5h): $240
University-level package (5h): $285
Olympiad preparation package (5h): $335
IB/ High-school package (10h): $450
University-level package (10h): $540
Olympiad preparation package (10h): $630
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