# David Loeffler: Teaching

### 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 I**wasawa 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)