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Articles On Olympiad Topics

Sep 2016    An Introduction to Ptolemy's Theorem

Ptolemy's Theorem is often underrated. This article leads to insightful proofs and teaches how to use the theorem on competition problems. 

Apr 2017    Náboj-Training (German)

Náboj is a team competition in which you try to solve as many problems as possible within a given time limit. To ensure a good result, I prepared some problems for a training session for my team.

 

Reports On Certain Events

Sep 2016  Probestudium Mathematik LMU (German)

To experience how actual math studies in university feels like, I took part in trial studies with a friend at LMU. This document is a rough diary about what has been taught.

Mar 2017   Landesrunde 2017 Contest-Analysis (German)

My thoughts on each of the problems of the 2017 Landesrunde German Olympiad. Simultaneously, it's my last participation at that event.

 

Write-Up of Homework Competitions

2014   LWMB Round 1 (1. Preis, 16/16)

Solving Problems 3, 4, 5, 6 of that year's LWMB. Handwritten.

2015   LWMB Round 2 (Landessieger, 12/12)

Solving Problems 1, 3, 4. Problem 2 was arguably the most beautiful problem in that competition but difficult to create a concise write-up.

2017   Math Olympiad Round 1 (1. Preis, 40/42)

I tried to go on my teacher's nerves (shoutout to you, Mrs. Theis!) providing three different proofs for Problem 2. One using Sawayama, one using the previous year's Landesrunde and one regular solution.

2014   BWM Round 2 (3. Preis, 2x o.w.B., 1x small error, 1x larger error)

I was and still am proud of having solved all problems in grade 9. Both errors were easy to fix. Handwritten.

2015   BWM Round 1 (1. Preis, 4x o.w.B.)

Partner work with Niklas Kemper. Problem 1's write-up was interesting.

2015   BWM Round 2 (2. Preis, 3x o.w.B., 1x small error)

Problems 2 and 4 are both among my all-time favorites. The small error is a very easy fix - making it peskier all the way.

2016   BWM Round 1 (1. Preis, 3x o.w.B., 1x bad representation/o.w.B.)

An alternative proof to Problem 3 is included that wasn't submitted.

2016   BWM Round 2 (1. Preis, 4x o.w.B.)

Used as Seminararbeit.

2017   BWM Round 1 (1. Preis, 4x o.w.B.)

Partner work with Niklas Kemper. We missed the easy solution for Problem 4 and instead provided a long proof using Legendre.

2017   BWM Round 2 (1. Preis, 4x o.w.B.)

Toughest problem 4 of the years I participated in. In a blog post, I write about the two months of struggling and motivation.

*Preis = prize, Landessieger = state winner, o.w.B. = no mistakes

 
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