Click on the course title to view notes and other information.

Basic courses

• Advanced Computational Methods in Statistics (STATS)
  Tutor: Dr. N. Kantas, Imperial (2020-2021)
  (See 'Advanced Courses' for an advanced version of this course.)

• Algebraic Curves (PURE)
  Tutor: Professor Nicholas Shepherd-Barron, KCL (2015-2016)
  
  
• Algebraic Geometry (PURE)
  Tutor: Dr Ivan Tomasic, QMUL (2012-2013/2013-2014/2014-2015)  Abstract [PDF 35KB]
  
  
• Algebraic Number Theory (PURE)
  Tutor: Dr Manuel Breuning, KCL (2007-2008/2008-2009) Abstract [PDF 43KB]
  
  
• Algebraic Topology (PURE)
  Tutor: Professor Luke Hodgkin, KCL (2009-2010/2010/2011/2011-2012) Abstract [PDF 19KB]
  
  
• Analytical Methods (APPLIED)
  Tutors:
  Dr Helen Wilson, UCL Maths (2007-2008/2008-2009/2010-2011/2011-2012/2012-2013/2013-2014/2014-2015)
  Professor Rod Halburd, UCL Maths (2018-2019)
  Dr Nick Ovenden, UCL Maths (2009-2010/2015-2016/2016-2017/2017-2018/2019-2020/2021-2022/2022-2023)  
  
  
• Applied Bayesian Methods (STATS)
  Tutors:
  Dr Shaun Seaman, UCL Stats (2007-2008/2008-2009/2009-2010)
  Dr Jing-hao Xue, UCL Stats (2010-2011/2011-2012/2012-2013/2013-2014/2014-2015/2015-2016/2017-2018/2018-2019)
  Dr Petros Dellaportas, UCL Stats (2016-2017/2019-2020/2021-2022/2022-2023) 
  
  
• Applications of Complex Analysis (APPLIED)
  Tutor: Prof. Rod Halburd, UCL (2021-2022/2022-2023)Applications of Complex Analysis Abstract [PDF 7KB]
  
  
• Applications of Differential Geometry to Mathematical Physics (APPLIED)
  Tutor: Professor Andy Hone, Kent, and Dr Steffen Krusch, Kent (2016-2017/2018-2019)
  
  
• Applied Computational Methods (APPLIED)
  Tutors:
  Professor Norbert Heuer, Brunel (2007-08)
  Professor Sergey Mikhailov, Brunel (2008-09)  Abstract [DOC 28KB]
  
  
• Bio-Mathematics (APPLIED) [PDF 2,622KB] Abstract [PDF 19KB]

Tutor: Dr Stephen Baigent, UCL Maths (2007-2008/2008-2009/2009-2010/2010-2011/2011-2012)

• (See 'Advanced Courses' for an advanced version of this course.)

Tutor: Professor Cho-Ho Chu, QMUL (2007-2008/2008-2009/2009-2010/2012-2013)

• Class Field Theory (PURE)
  Tutor: Dr Mahesh Kakde, KCL (2016-2017/2017-2018)
  
  
• Complex Systems Dynamics (APPLIED)
  Tutors:
  Dr Hannah Fry, UCL Maths (2011-2012, 2013-2014)
  Dr Vasiliki Evdoridou, OU (2018-2019)
  
  
• Differential Geometry & Mathematical Physics (APPLIED)
  Tutors: Dr Steffen Krusch / Prof. Andrew Hone, University of Kent (2022-2023)
  
  
• Dynamical Functional Equations and their Applications
  Tutor: Dr. Ben Mestel, OU (2019-2020) 

• Dynamical Systems (APPLIED)
  Tutors:
  Professor David Arrowsmith, QMUL (2007-2008) with Dr Rainer Klages, QMUL (2008-2009)
  Dr Rainer Klages, QMUL (2009-2010)
  Dr Wolfram Just, QMUL (2010-2011/2011-2012/2012-2013/2013-2014/2014-2015)
  Professor Franco Vivaldi, QMUL (2015-2016/2016-2017/2017-2018/2018-2019)
  
  
• Elliptic Operators and Index Theorem (Part 1) (PURE) (See Part 2 under Advanced Courses)
  Tutor: Professor Michael Singer, UCL Maths (2017-2018)
  
  
• Exact Solution Methods for Differential Equations (APPLIED)
  Tutor: Professor Rod Halburd, UCL Maths (2017-2018)
  
  
• Finite Elements (APPLIED)
  Tutor: Dr Matthias Maischak, Brunel (2013-2014/2014-2015)
  
  
• Finite Simple Groups (PURE)
  Tutor: Professor Robert Wilson, QMUL (2007-2008/2008-2009/2009-2010) 
  
  
•  Fundamental Theory of Statistical Inference (STATS)
  Tutor: Professor Alastair Young, Imperial (2007-2008/2008-2009/2009-2010/2010-2011/2011-2012/2012-2013/2013-2014/2014-2015/2015-2016/2016-2017/2017-2018/2018-2019/2021-2022/2022-2023)
  FTSI Abstract [PDF 32KB]
  
  
• Galois Representation (PURE)
  Tutor: Professor F. Diamond, KCL (2016-2017/2018-2019)
  
  
•  Geometric Group Theory (PURE)
  Tutor: Professor Ian Chiswell, QMUL (2010-2011/2011-2012) 
  
  
•  Geometric Measure Theory (PURE)
  Tutor: Dr Toby O'Neil, OU (2016-2017)
  
  
• Graph Theory  (PURE)
  Tutors:
  Professors Graham Brightwell and Jan van den Heuvel, LSE (2007-2008 with Dr Jozef Skokan/2008-2009/2009-2010/2010-2011)
  Professor Jan van den Heuvel and Dr Jozef Skokan (2011-2012/2012-2013/2013-2014)
  Professor Jan ven den Heuvel and Dr Peter Allen (2014-2015/2015-2016)
  Dr Peter Allen, LSE (2016-2017/2017-2018/2018-2019/2019-2020)
  Prof J. Boettcher, LSE (2021-2022)
  Prof. Jan van den Heuvel / Dr Yani Pehova (2022-2023)
  
  
• Homological Algebra
  Tutor:  Professor Markus Linckelmann, QMUL (2019-2020/2022-2023)

•  1617 Internal Fluid Dynamics ABSTRACT [PDF 887KB] Notes
  Tutor: Professor Frank Smith, UCL Maths (2012-2013)

• Introduction to Applied Topology
  Tutor: Dr Primoz Skraba, QMUL (2019-2020) 

• Introduction to Boundary Integral Equations (APPLIED)
  Tutor: Dr Timo Beckte, UCL (2016-2017)
  
  
•  Introduction to Elliptic Operators and the Index Theorem (PURE)
  Tutor: Professor Michael Singer, UCL (2016-2017)
  
  
• Introduction to Harmonic Analysis
  Tutor: Professor Sasha Sodin, QMUL (2019-2020/2021-2022)

•  Kaehler and HyperKaehler Geometry 
  Tutor: Professor Michael Singer, UCL (2018-2019)

•  Lagrangian Torus Fibrations (PURE) 
  Tutor: Dr Jonny Evans, UCL (2018-2019)

• Lie Group Actions on Manifolds (PURE)
  Tutor: Professor Jurgen Berndt, KCL (2016-2017)
  
  
• Mathematical Aspects of Quantum Computing (PURE)
  Tutor: Prof S. Majid, QMUL (2021-2022, 2022-2023)Mathematical Aspects of Quantum Computing Abstract [PDF 8KB]
  
  
•  Maximum Entropy Models of Complex Networks (APPLIED)
  Tutor: Professor Ginestra Bianconi, QMUL (2019-2020/2021-2022)

• Measure and Category Measure and Category (PURE) [PDF 381KB]
  Tutor: Professor Marianna Csornyei, UCL Maths (2007-2008/2008-2009)

•  Measure Theory
  Tutor: Dr Robert Simon, LSE (2018-2019/2019-2020/2021-2022/2022-2023)

• Measure-thereotic Probabilty (STATS)
  Tutors:
  Professor Nick Bingham, Imperial (2007-2008/2008-2009/2009-2010/2010-2011/2011-2012/2012-2013/2013-2014/2014-2015/2015-2016/2016-2017/2017-2018/2018-2019)
  Professor Alexander Gnedin, QMUL (2019-2020, 2021-2022, 2022-2023)

•  Minimal Surfaces (PURE)
  Dr Giuseppe Tinaglia, KCL (2015-2016)
  
  
• Models (APPLIED)
  Tutor: Dr Oliver Kerr, CIty (2007-2008/2008-2009/2009-2010/2010-2011/2011-2012/2012-2013/2013-2014/2014-2015/2015-2016/2016-2017/2017-2018/2018-2019/2019-2020/2021-2022)
  
  
• Morse theory, topology and robotics (Basic)
  Tutor: Prof. Michael Farber, QMUL Morse theory, topology and robotics Abstract [PDF 115KB]
  
  
•  P-adic analysis (PURE)
  Tutor: Dr Shu Sasaki, KCL (2010-2011/2011-2012)
  
  
• P-adic numbers p-adic numbers (PURE) [PDF 258KB]
  Tutor: Dr Manuel Breuning, KCL (2009-2010)

• Potential Theory (PURE) [PDF 350KB] Abstract [PDF 36KB]
  Tutor: Professor Boris Khoruzenko, QMUL (2010-2011/2011-2012)
  
  
• Pseudo-differential operators and applications to PDEs 
  Tutor: Dr Claudia Garetto, QMUL (2022-2023) Pseudo-differential operators and applications to PDEs Abstract [PDF 12KB]

• Representation Theory (PURE)
  Tutors:
  Dr Anton Cox, City (2012-2013)
  Dr M Linckelmann, City (2013-2014/2014-2015)
  Dr Matthew Fayers, QMUL (2015-2016/2016-2017/2017-2018)
  Dr John Bray, QMUL (2018-2019)

(An advanced version of this course has also been offered, please see 'Advanced Courses'.)

• Representation Theory of Compact Lie Groups
  Tutor: Professor Michael Singer, UCL (2019-2020)

• Representation Theory of p-adic Groups
  Tutor: Dr James Newton, KCL (2019-2020)

• Riemann Surfaces (PURE)
  Tutors: Dr John Armstrong, KCL (2012-2013)
  Dr Giuseppe Tinaglia, KCL (2013-2014) Abstract [PDF 55KB]
  
  
•  Theory of Minimal Surfaces (PURE)
  Tutor: Dr Giuseppe Tianglia, KCL (2014-2015)
  
  
•  Statistical Modelling and Estimation (STATS)
  Tutors: Professor Steven Gilmore, QMUL (2007-2008/2008-09)
  Dr Heiko Grossmann, QMUL (2009-2010/2010-2011/2011-2012/2012-2013/2013-2014/2014-2015) Abstract [PDF 20KB]
  
  
• Stochastic Processes (STATS)
  Tutors:
  Professor Valerie Isham, UCL Stats (2007-2008/2008-2009)
  Dr James Nelson, UCL Stats (2009-2010/2010-2011/2011-2012/2013-2014/2014-2015/2015-2016/2016-2017)
  Dr Codina Cotar, UCL Stats (2012-2013)
  Professor Maria De Iorio, UCL Statistics (2017-2018)
  Dr Ardo van den Hout, UCL Statistics (2018-2019/2019-2020)
  Dr Terry Soo, UCL (2021-2022, 2022-2023)
  
  
• Symmetry Methods for Differential Equations (STATS)
  Tutor: Professor Peter Clarkson, Kent (2015-2016/2018-2019/2022-2023) Abstract [PDF 66KB]
  
  
• Theory or Linear Models (STATS)
  Tutor: Prof Steven Gilmour, KCL (2018-2019/2019-2020)
  Dr. K. Mylona, KCL (2021-2022, 2022-2023)
  
  
• Time Series Analysis
  Tutor: Dr Yining Chen, LSE Statistics (2022-2023) Time Series Analysis Abstract [PDF 20KB]

•  Variational and Computational Methods for PDEs (APPLIED) [PDF 283KB]Tutor: Professor Sergey Mikhailov, Brunel (2009-2010/2010-2011/2020-2021)

• Wave Scattering and Resonances (APPLIED)
  Tutor: Dr Dmitry Savin, Brunel (2012-2013/2013-2014/2015-2016/2017-2018/2019-2020)
  
  

 

Advanced courses

• Ads/CFT Correspondence (APPLIED) 
  Tutor: Dr Bogdan Stefanski, City (2009-2010)
  
  
•  Advanced Computational Methods (APPLIED)
  Tutor: Dr Matthias Maischak, Brunel (2008-2009)
  
  
• Advanced Computational Methods in Statistics (STATS)
  Tutors:
  Dr Axel Gandy, Imperial (2008-2009/2009-2010/2010-2011/2011-2012/2012-2013/2013-2014/2014-2015)
  Dr A. Gandy, Imperial (2015-2016)
  Dr Nikolas Kantas, Imperial (2016-2017/2017-2018/2018-2019/2019-2020/2022-2023)
  
  
• Algebraic Statistics
  Tutor: Professor Henry Wynn, LSE (2008-2009) Abstract [PDF 35KB]
  
  
• An Introduction to Ergodic Theory and Topological Dynamics
  Tutor: Dr. R. Yassawi, OU (2021-2022)
  
  
• An Introduction to Birational Geometry
  Tutor: Prof. Paolo Cascini, Imperial (2021-2022)
  
  
• Aperiodic Order
  Tutor: Professor Uwe Grimm, OU (2014-2015)
  
  
•  Applications of Differential Geometry to Mathematical Physics (2008-2009/2010-2011/2012-13)
  Tutors: Professor Andrew Hone, and Dr Steffen Krusch and G Brown, Kent Abstract [PDF 41KB]
  
  
•  Asymptotic Analysis and Statistical Applications 
  Tutor: Dr Heather Battey, Imperial (2018-2019/2019-2020/2021-2022/2022-2023)

• Bayesian Adaptative Methods for Clinical Trials [DOC 20KB]
  Tutor: Dr Leonardo Bottolo, Imperial (2013-2014)

• Bayesian Hierarchical Models (STATS)
  Tutor: Dr Leondardo Bottolo, Imperial (2014-2015)
  
  
•  Big Data and Statistical Methods (STATS) 
  Tutor: Dr Mark Briers, Imperial (2018-2019)
  
  
• Birational Geometry
  Tutor: Dr Calum Spicer, KCL (2022-2023)
  Birational Geometry Abstract [PDF 64KB]

• Boundary Integral Elements (APPLIED)
  Tutor: Dr Timo Betcke, UCL (2014-2015)
  
  
• Calibrated Geometry and Geometric Flows 
  Tutor: Dr J. Lotay, UCL (2016-2017)
  
  
• Calibrated Submanifolds (2022-2023)
  Tutor: Dr. Lorenzo Foscolo, UCL 
  
  
• The Classical Moment Problem (PURE) Tutor: Professor A. Sodin, QMUL (2017-2018)
  
  
• Cohomology of Groups (PURE) Tutor: Professor Brita Nucinkis, RHUL (2017-2018/2019-2020)
  
  
• Combinatorial optimisation: packing, partitioning, and covering (2022-2023)
  Tutor: Dr Ahmad Abdi, LSE Maths
  
  
• Complex Analysis (2011-2012/2013-2014/2015-2016)
  Tutor: Professor Rod Halburd, UCL Maths Abstract [PDF 67KB]
  
  
• Constant Mean Curvature (2011-2012)
  Tutor: Dr Giuseppi Tinaglia, KCL
  
  
• The Cremona Group (PURE) Tutor: Professor Nicholas Shepherd-Barron, KCL (2017-2018)
  
  
• Cryptography and Mathematics (2008-2009/2010-2011)
  Tutor: Professor Norman Biggs, LSE Abstract [DOC 57KB]
  
  
• C* Algebras (PURE) (See 'Basic Courses' for a basic version of this course.) Tutor: Dr Xin Li, QMUL (2017-2018/2018-2019)
  
  
• Differential Equations with Delay and Applications to Mathematical Biology (APPLIED)
  Tutor: Dr Jacques Furter, Brunel (2014-2015/2016-2017) Abstract [PDF 19KB]
  
  
• Distribution and Fourier Transforms (2011-2012, 2013-2014)
  Tutor: Professor Yuri Safarov, KCL Abstract [PDF 46KB]
  
  
• Dynamical Functional Equations and their Applications (APPLIED)
  Tutor: Dr Ben Mestel, OU (2016-2017)
  
  
• Dynamical Systems in Cosmology (APPLIED)
  Tutor: Dr Christian Boehmer, UCL Maths (2014-2015/2016-2017)
  
  
• Elements of Functional Data Analysis
  Tutor: Dr A. Duncan, Imperial (2021-2022)
•  Elliptic Operators and Index Theorem (PART 2) (PURE) (see Part 1 under Basic Courses) Tutor: Professor Simon Scott, KCL (2017-2018)
  Tutors: Professor Qiwei Yao, LSE 
  
  
• Enumerative Combinatorics Tutor: Prof Peter Cameron, St Andrews (2013-2014), Dr A. Fink, QMUL (2015-2016)

• Environmental Flows (2009-2010, 2013-2014) [PDF 428KB] Abstract [DOC 13KB] Tutor: Dr Mike Davey, Met Office

• Euler and the History of Mathematics
  Tutors: Professor Jeremy Gray and Dr June Barrow-Green, OU (2014-2015)
  
  
• Euler Systems and Iwasawa Theory (2018-2019)
  Tutors: Prof. Sarah Zerbes, UCL

• Examples of Moduli Spaces in Algebraic Geometry
  Tutor: Professor Nicholas Shepherd-Barron

• Factor Models in Time Series (STATS)
  Dr Matteo Barigozzi, LSE (2014-2015/2015-2016)
  
  
• Finite Classical Groups (2013-2014)
  Tutor: Dr Nick Gill, Open University 
  
  
• Foliations and 3-dimensional manifolds (2022-2023)
  Tutor: Dr Mehdi Yazdi, KCL
  
  
• Fundamentals of Differential Algebra (2012-2013)
  Tutor: Dr Markus Rosenkranz, Kent Abstract [PDF 101KB]
  
  
• Galois Cohomology
  Tutor: Dr N. Dogra, KCL (2021-2022) Galois Cohomology Abstract [PDF 18KB]
• Geometry of Modular Curves (PURE)
  Tutor: Professor Sarah Zerbes, UCL (2015-2016, 2016-2017)
  
  
• Graph Algorithms and Models (PURE)
  Tutor: Dr Vincenzo Nicosia, QMUL (2017-2018/2018-2019)
  
  
• Groups of Finite Cohomological Dimension
  Tutor: Prof. F. Johnson, UCL (2021-2022)
  
  
• Gowers norms and the Mobius function (2022-2023)
  Tutor: Dr Aled Walker, KCL
  Gowers norms and the Mobius function Abstract [PDF 100KB]
  
  
• Higher-order networks (2022-2023)
  Tutor: Prof. Ginestra Bianconi, QMUL
  
  
• Hiperbolic Conversion Laws
  Tutor: Dr M. Scherecker, UCL (2021-2022)

• History of Geometry in the 19th Century (2013-2014)
  Tutors: Professor Jeremy Gray and Dr June Barrow-Green, The Open University 
  
  
• History of Mathematics Tutor: Professor June Barrow-Green, Open University (2017-2018)
  
  
• Holomorphic Dynamics and Hyperbolic Geometry (2012-2013) [PDF 968KB]  Abstract [PDF 71KB]
  Tutor: Profesor Shaun Bullet, QMUL

• Homological Algebra (PURE)
  Tutor: Professor Markus Linckelmann, City (2016-2017)
• Hyperkshler Manifolds
  Tutor: Dr N. Kurnosov, UCL (2021-2022)
• Industrial Mathematics (2009-2010)
  Tutors: Drs Robert Leese and John Allwright, Smith Institute/KTN
  
  
• Interfacial Fluid Mechanics (APPLIED)
  Tutor: Dr M. Pradas, Open University (2015-2016)
  
  
• Internal Fluid Dynamics (APPLIED)
  Tutor: Professor Frank Smith, UCL (2016-2017)
  
  
• Introduction to Spherical and Euclidean Buildings (PURE)
  Tutor: Dr Jeroen Schillewaert, Imperial (2014-2015)
  
  
• Invariant Theory of Finite Groups (2009-2010)
  Tutors: Dr Jim Shank and Professor Peter Fleischmann, Kent Abstract [PDF 20KB]
  
  
• Inverse Problems
  Tutor: Professor Yaroslav Kurylev, UCL Maths and Professor Simon Arridge, UCL Maths (2009-2010, 2013-2014)
  Dr B. Jin, UCL Computer Science (2015-2016) Abstract [PDF 26KB]
  
  
• Integrability (2012-2013)
  Tutor: Dr Benjamin Doyon, KCL 
  
  
• Integrable Systems
  Tutor: Prof R. Halburd, UCL (2021-2022)
• Introduction to Random Matrix Theory (PURE)
  Tutor: Dr Igor Smolyarenko, Brunel (2008-2009/2010-2011/2012-2013/2014-2015, 2016-2017, 2022-2023) 
  
  
• Introduction to Aperiodic Order (APPLIED) 
  Tutor: Prof Uwe Grimm, OU (2018-2019)

• Introduction to Geometric Analysis on Manifolds
  Tutor: Professor Ovidiu Munteanu, UCL (2019-2020)

• Introduction to Semiparametric Modelling (2011-2012)
  Tutor: Dr Clifford Lam, LSE 
  
  
• Introduction to the Spectral Theory of Hankel and Toeplitz Operators (PURE)
  Tutor: Dr Alexander Pushnitski, KCL (2014-2015)
  
  
• Introduction to the Modern Theory of Scattering
  Tutor: Dr Jeffrey Galkowski, UCL (2019-2020, 2022-2023)
  
  
• Kernel methods in machine learning and statistics
  Tutors: Dr Nikolas Nusken / Dr Marina Riabiz, KCL (2022-2023)

• Lie Group Actions on Manifolds (PURE)
  Tutor: Professor J. Berndt, Kings (2015-2016)
  
  
• Likelihood and Asymptotic Theory for Statistical Inference (2012-2013) Tutor: Dr Nancy Reid, Toronto and UCL Stats
  Abstract [PDF 70KB]
  
  
• Mathematical Topics in General Relativity (2013-2014/2015-2016/2016-2017/2017-2018/2018-2019/2019-2020/2021-2022/2022-2023) Tutor: Dr Juan Antonio Valiente-Kroon, QMUL
  
  
• Mechanics of Solids and Fracture (2008-2009)Abstract [DOC 27KB]Tutor: Professor Sergey Mikhailov, Brunel
  
  
• Medical Modelling (APPLIED)
  Tutor: Dr Nick Ovenden, UCL Maths (2008-2009/2010-2011/2014-2015) Abstract [DOC 26KB]
  Tutor: Dr John Curtis, UCL Maths (2017-2018)
  
  
•  Model Theory
  Tutor: Dr Ivan Tomasic, QMUL (2009-2010/2018-2019)
  
  
• Modular Forms (PURE)
  Tutor: Professor Fred Diamond, KCL (2012-2013), with Dr Sameer Murthy (2014-2015) 
  
  
• Modular Group and Automorphic Forms (2008-2009/2010-2011) Tutor: Dr William Harvey, KCL 
  
  
• Multi Deck Theory
  Tutor: Dr Sergei Timoshin, UCL (2013-2014/2015-2016
  
  
• Noncommutative Geometry (2008-2009/2010-2011)
  Tutor: Professor Shahn Majid, QMUL
  
  
• Non-Linear Free Surfaces
  Tutor: Professor Jean-Marc Vanden-Broeck, UCL (2010-2011/2012-2013/2015-2016/2018-2019/2022-2023)
  Tutors: Dr Joaquin Rodrigues Jacinto, UCL Maths and Dr Chris Williams, Imperial (2017-2018)
  
  
• Objective Bayesian Analysis
  Tutor: Dr Cristiano Villa, Kent (2016-2017)
  Tutor: Dr Ana Loureiro, Kent (2017-2018)
  
  
• Orthogonal Polynomials and Special Functions
  Tutor: Dr Ana Loureiro, Kent (2019-2020/2021-2022)
  
  
• Painlevé equations and the Painlevé property
  Tutor: Rod Halburd, UCL (2022-2023)
  Painlevé equations and the Painlevé property Abstract [PDF 82KB]
  
  
• Principles and Design Patterns in Data Scientific Software Engineering
  Tutor: Dr. F. Kiraly, UCL (2021-2022)
  Principles and Design Patterns in Data Scientific Software Engineering Abstract [PDF 52KB]
• The Probabilistic Method (2009-2010/2012-2013)
  Tutor: Dr John Talbot, UCL Maths 
  
  
• Quantum Ergodicity and Number Theory 
  Tutor: Prof Yiannis Petridis, UCL and Dr Steve Lester, QMUL (2018-2019)
  
  
• Reductive Groups
  Tutor: Prof. N. Shepherd-Barron, KCL (2021-2022)
• Regression Diagnostics and the Forward Search (2008-2009)
  Tutor: Professor Anthony Atkins LSE
  
  
• REML Estimation and Linear Mixed Models  (2008-2009/2010-2011) Tutors: Drs Robert Thompson and Sue Whelan, QMUL
  
  
• Representation Theory (2008-2009/2010-2011as an advanced course, 2012-2014 as a basic course)
  Tutor: Dr Anton Cox, City (2008-2012), Dr M Linckelmann, City (2013-2014) 
  
  
• Riemannian Holonomy
  Tutor: Dr Lorenzo Foscolo, UCL (2019-2020, 2021-2022)
  
  
• Selective Inference
  Tutor: Dr Daniel Garcia Rasines, Imperial (2022-2023)
  
  
• Semiclassical Analysis
  Tutor: Dr. Galkowski, UCL (2021-2022)

• Solids Mechanics inc. Elastic Wave Propagation (2011-2012)
  Tutor: Professor Julius Kaplunov, Brunel
  
  
• Spectral Theory (2009-2010)
  Tutor: Professor Leonid Parnovski, UCL Maths
  
  
• Spectral Theory for Operatives and Matrices (2012-2013) Tutor: Professor Brian Davies, KCLAbstract [PDF 42KB]
  
  
• Statistics in Molecular Genetics (2009-2010) [PDF 721KB]
  Tutors: Drs Alexandra Lewin, Lachlan Coin, Maria de Iorio, Sylvia Richardson and Professor David Balding, LSE, Imperial and UCL

• Statistics in Practise
  Tutors: Dr Niall Adams, Imperial (2009-2010) 

•  Statistical Mechanics
  Tutor: Professor Christian Beck, QMUL (2009-2010)
  Dr O. Bandtlow, QMUL, and Dr A. Baule (QMUL) (2015-2016)

•  Statistical Pattern Recognition (STATS)
  Tutor: Dr Giovanni Montana, Imperial (2014-2015/2015-2016)
  
  
• Stochastic Finance (2008-2009) [PDF 7,802KB]
  Tutor: Professor Panos Vassiliou, UCL Stats (2008-2009)

• Symmetry Methods (2010-2011, 2012-2014, 2018-2019)
  Tutor: Professor Peter Clarkson, Kent  
  
  
• Symmetries, Conservation Laws and the Variational Complex (APPLIED)
  Tutor: Dr Jing Ping Wang, Kent (2014-2015)
  
  
•  Syzygies and Homological Algebra(2009-2010)
  Tutor: Professor Francis Johnson, UCL Maths
  
  
• The Mathematical Theory of Compressible Viscous Flows
  Tutor: Dr Ewelina Zatorska, UCL Maths (2019-2020)

•  Topics in the Design of Experiments
  Tutors: Drs Barbara Bogacka, QMUL (2009-2010) and Steve Coad, QMUL (2018-2019/2019-2020).
  Dr. Steve Coad (2021-2022)
  
  
•  Topological Arakelov Theory (2011-2012)
  Tutor: Professor Francis Johnson, UCL Maths 
  
  
• Toric Varieties (2022-2023)
  Tutor: Tim Magee, KCL
  
  
• Tropical Geometry (PURE)
  Tutor: Dr M. Manjunath, QMUL (2015-2016) 
  
  
• Value of L-functions
  Tutors: Dr Luis Garcia, UCL (2019-2020)
  
  

You can also consult a list of our past intensive courses.