Extremal and probabilistic combinatorics 7.5 credits

About the course

This course introduces powerful probabilistic methods, and their applications to fundamental problems in extremal combinatorics. It includes an overview of classical probabilistic methods such as first- and second-moment methods and the Lóvasz local lemma, and of some fundamental notions and results in extremal combinatorics, such as set systems, sunflowers, antichains, graph partitions, and Turán-type problems. In addition, the course will treat a selection of related topics at the cutting-edge of research.

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Spring 2027
- Extremal and probabilistic combinatorics
  
  Second admissions round for EU/EEA citizens
  
  VT27 / Umeå / English / On site
  
  Application opens 15 September 2026
  
  Save education at universityadmissions.se
  
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  Starts
  18 January 2027
  
  Ends
  24 March 2027
  
  Number of credits
  7.5 credits
  
  Type of studies
  On site
  
  Study pace
  50%
  
  Teaching hours
  Daytime
  
  Study location
  Umeå
  
  Language
  English
  
  Application code
  UMU-58002
  
  Eligibility
  
  The course requires a minimum of 90 ECTS in Mathematics or Computer Science, of which at least 60 ECTS must be in Mathematics including a course in Discrete Mathematics of at least 7.5 ECTS and a course in Statistics of at least 7.5 ECTS which includes elementary Probability Theory. Proficiency in English and Swedish equivalent to the level required for basic eligibility for higher studies
  
  Selection
  
  Guaranteed place
  
  Application
  The online application opens 15 September 2026 at 09:00 CET. Application deadline is 15 October 2026. Please note: This second application round is intended only for EU/EEA/Swiss citizens.
  
  Application and tuition fees
  As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.
  
  Application fee: SEK 900
  
  Tuition fee, first instalment: SEK 19,038
  
  Total fee: SEK 19,038
  
  Details about tuition, fees and funding

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