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London Taught Course Centre for students in mathematical sciences


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.)

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)

  • Dynamical Systems (APPLIED)
    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)
    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)
  • 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)
  •  Lagrangian Torus Fibrations (PURE) 
    Tutor: Dr Jonny Evans, UCL (2018-2019)
  •  Measure Theory
    Tutor: Dr Robert Simon, LSE (2018-2019/2019-2020/2021-2022/2022-2023)
  • Measure-thereotic Probabilty (STATS)
    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)
  • Representation Theory (PURE)
    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)
    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]


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)
    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)
  • 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)
  • 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)
  • 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)
  • 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.

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