Uploaded October 2023 | Updated September 2026, 2 weeks ago
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University of Oxford Mathematician Dr Tom Crawford sits the IB Maths Exam taken by High School students around the world. The test is usually taken at the end of school by students aged 17-18.
The exam taken by Tom is the ‘Mathematics: Applications and Interpretation Higher Level Specimen Paper’. You can download the test (and mark scheme) for yourself here: tomrocksmaths.files.wordpress.com/2023/10/dp-mathematics-applications-and-interpretation-specimen-papers-en.pdf
The Specimen Paper and all questions contained within are property of the International Baccalaureate Organization. Material is used under a 'fair use' policy for educational purposes.
Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk
Watch Tom take other Exams on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl
A-level Maths: youtube.com/watch?v=uupjxztr2q8
A-level Further Maths: youtube.com/watch?v=C8o0vfQe_6A
GCSE Maths: youtube.com/watch?v=hQVcv-T7IiY
GCSE Further Maths: youtube.com/watch?v=KDn6N7eo9uo
SAT Maths: youtube.com/watch?v=u0se7iWdNZw
Cambridge University Admissions Test (STEP Paper) Part 1: youtube.com/watch?v=Qsthjv-Ygng
Cambridge University Admissions Test (STEP Paper) Part 2: youtube.com/watch?v=f0Fm97oM608
German Maths Abitur: youtu.be/ZjCzWmRn6UM
For more maths content check out Tom's website tomrocksmaths.com
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
facebook.com/tomrocksmaths
twitter.com/tomrocksmaths
instagram.com/tomrocksmaths
Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths
Subscribe to Curiosity Stream now using the code TOMROCKS for 25% off and start exploring the world around you! curiositystream.com/TomRocks
University of Oxford Mathematician Dr Tom Crawford sits the IB Maths Exam taken by High School students around the world. The test is usually taken at the end of school by students aged 17-18.
The exam taken by Tom is the ‘Mathematics: Applications and Interpretation Higher Level Specimen Paper’. You can download the test (and mark scheme) for yourself here: tomrocksmaths.files.wordpress.com/2023/10/dp-mathematics-applications-and-interpretation-specimen-papers-en.pdf
The Specimen Paper and all questions contained within are property of the International Baccalaureate Organization. Material is used under a 'fair use' policy for educational purposes.
Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department of Continuing Education: conted.ox.ac.uk
Watch Tom take other Exams on the designated playlist here: youtube.com/playlist?list=PLMCRxGutHqfm3t0IVJabEab6OasV9WLrl
A-level Maths: youtube.com/watch?v=uupjxztr2q8
A-level Further Maths: youtube.com/watch?v=C8o0vfQe_6A
GCSE Maths: youtube.com/watch?v=hQVcv-T7IiY
GCSE Further Maths: youtube.com/watch?v=KDn6N7eo9uo
SAT Maths: youtube.com/watch?v=u0se7iWdNZw
Cambridge University Admissions Test (STEP Paper) Part 1: youtube.com/watch?v=Qsthjv-Ygng
Cambridge University Admissions Test (STEP Paper) Part 2: youtube.com/watch?v=f0Fm97oM608
German Maths Abitur: youtu.be/ZjCzWmRn6UM
For more maths content check out Tom's website tomrocksmaths.com
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
facebook.com/tomrocksmaths
twitter.com/tomrocksmaths
instagram.com/tomrocksmaths
Get your Tom Rocks Maths merchandise here: beautifulequation.com/collections/tom-rocks-maths










![Yang Mills Mass Gap Hypothesis with Martin Hairer (2014 Fields Medal)
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Professor Martin Hairer (Imperial College London, 2014 Fields Medal) explains his recent work on the million-dollar Yang Mills Equation to Oxford Mathematician Dr Tom Crawford.
Recorded at the 2024 Heidelberg Laureate Forum. Thanks to the Heidelberg Laureate Forum Foundation.
Martin’s recent publications on the topic can be found at the links below.
Chandra, A., Chevyrev, I., Hairer, M. et al. Stochastic quantisation of Yang–Mills–Higgs in 3D. Invent. math. 237, 541–696 (2024). https://doi.org/10.1007/s00222-024-01264-2
Chandra, A., Chevyrev, I., Hairer, M. et al. Langevin dynamic for the 2D Yang–Mills measure. Publ.math.IHES 136, 1–147 (2022). https://doi.org/10.1007/s10240-022-00132-0
[8] arXiv:2411.03482
Ergodicity of 2D singular stochastic Navier-Stokes equations, Martin Hairer, Wenhao Zhao
Thanks to DeleteMe for sponsoring this video.
Other videos recorded at the 11th HLF.
Gerd Faltings (1986 Fields Medal): https://youtu.be/FVULa2yjUe0
Klein Bottles: https://youtu.be/gjbJB-YM7Rg
Po-Shen Loh: https://youtu.be/WTs5jpwqW4A
Previous videos recorded with Martin Hairer.
Random Tea: https://youtu.be/vDTqswT0ajk
Infinite Tetris: https://youtu.be/Z6XP3n-Sjiw
Brownian Castles: https://youtu.be/4jR8Sg4PYAA
Produced by Dr Tom Crawford at the University of Oxford. Tom is Public Engagement Lead at the Oxford University Department for Continuing Education: https://www.conted.ox.ac.uk/profiles/tom-crawford
For more maths content check out Toms website https://tomrocksmaths.com/
You can also follow Tom on Facebook, Twitter and Instagram @tomrocksmaths.
https://www.facebook.com/tomrocksmaths/
https://twitter.com/tomrocksmaths
https://www.instagram.com/tomrocksmaths/
With thanks to
Huel
Oxford University
St Edmund Hall
Oxford University Department of Continuing Education
Sidney Sussex College
Netflix
Dmitry Tonkonog
Culinan Studio
Faulkes Flying Foundation Yang Mills Mass Gap Hypothesis with Martin Hairer (2014 Fields Medal)](https://i.ytimg.com/vi/Ae9lTCUzJjE/mqdefault.jpg)