Lecture Courses

• Homological Algebra (TCC graduate course, 2019-20)
• Modular Forms and Representations of GL(2) (TCC graduate course, 2018-19)
• Homological Algebra (TCC graduate course, 2016-17)
• Modular Curves (TCC graduate course, 2014-15)
• MA4H9 Modular Forms (Warwick, 2010-11)
• Modular Forms (Cambridge Part III, 2008-9)

Masters Projects

See this link for some suggested topics for MMath dissertation projects. Here is a list of previous project titles, with copies of the projects when available:

• Owain Elliott, The Sato-Tate conjecture (MMath, 2020-21)
• James Spence, Stickelberger's Theorem (MMath, 2020-21)
• Ellie Jackson, Rationality of the Zeta-Function (MMath, 2019-20)
• Stewart Feasby, Witt Vectors Motivated by Finite Fields (MMath, 2019-20)
• Robert Smith, Counting points via p-adic integration (MMath, 2018-19)
• Tom Osborne, Ramification theory of p-adic fields (MMath, 2018-19)
• Matthew Honnor, P-adic L-functions of modular forms (MMath, 2017-18)
• Bruno Sterner, Theta Series Attached to a Level 1 Quadratic Form and Siegel Modular Forms (MMath, 2017-18)
• Jun Bo Lau, Hilbert Modular Surfaces (MMath, 2016-17)
• Pip Goodman, Images of Galois representations (MMath, 2016-17)
• Andre Macedo, Slopes of p-adic modular forms (MASt, 2015-16)
• Bogdan Alecu, Special values of Rankin-Selberg convolution L-functions (MMath, 2015-16)
• Alex Hymers, P-adic irrational numbers (MMath, 2013-14)
• Robin Bartlett, Smooth representations and local new vectors (MMath, 2013-14)
• Daniel Lewis, Complex multiplication and the BSD conjecture (MMath, 2013-14)
• Emanuel Geromin, Spectral theory for (MSc, 2012-13)
• Seok Ho Yoon, Local class field theory (MMath, 2012-13)
• Alice Taherzadeh, P-adic Hodge theory (MMath, 2012-13)
• Fabian Völz, A trace formula for Hecke operators for modular groups (MSc, 2011-12)
• Thomas Hamilton, Congruence testing for odd modular subgroups (MMath, 2011-12) — see our joint paper
• Luke Gibson, An Introduction to Iwasawa theory (MMath, 2011-12)
• Lambros Mavrides, Modular curves and surjectivity of Galois representations attached to elliptic curves over Q (MSc, 2010-11)
• Jonathan Crawford, P-adic zeta functions (MMath, 2010-11)
• Matthew Smith, q-expansions of Modular Forms of Weight 2 and level (MMath, 2010-11)