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David Loeffler: Teaching

Lecture Courses

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 $SL_2(\mathbf{Z}) \backslash \mathcal{H}$ (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 $\Gamma_0(N)$ (MMath, 2010-11)