Will Merry: Catalogue data in Autumn Semester 2018

Name Dr. Will Merry
FieldMathematics
DepartmentMathematics
RelationshipAssistant Professor

NumberTitleECTSHoursLecturers
401-0000-00LCommunication in Mathematics1 credit1VW. Merry
AbstractDon't hide your Next Great Theorem behind bad writing.

This course teaches fundamental communication skills in mathematics: how to write clearly and how to structure mathematical content for different audiences, from theses, to preprints, to personal statements in applications.
ObjectiveKnowing how to present written mathematics in a structured and clear manner.
ContentTopics covered include:

- How to write a thesis (more generally, a mathematics paper).
- Elementary LaTeX skills and language conventions.
- How to write a personal statement for Masters and PhD applications.
Lecture notesFull lecture notes will be made available on my website:

www.merry.io/communication-in-mathematics
Prerequisites / NoticeThere are no formal mathematical prerequisites.
401-3531-00LDifferential Geometry I Information
At most one of the three course units (Bachelor Core Courses)
401-3461-00L Functional Analysis I
401-3531-00L Differential Geometry I
401-3601-00L Probability Theory
can be recognised for the Master's degree in Mathematics or Applied Mathematics.
10 credits4V + 1UW. Merry
AbstractThis will be an introductory course in differential geometry.

Topics covered include:

- Smooth manifolds, submanifolds, vector fields,
- Lie groups, homogeneous spaces,
- Vector bundles, tensor fields, differential forms,
- Integration on manifolds and the de Rham theorem,
- Principal bundles.
Objective
Lecture notesI will produce full lecture notes, available on my website at

www.merry.io/differential-geometry
LiteratureThere are many excellent textbooks on differential geometry. A friendly and readable book that covers everything in Differential Geometry I is:

John M. Lee "Introduction to Smooth Manifolds" 2nd ed. (2012) Springer-Verlag.

A more advanced (and far less friendly) series of books that covers everything in both Differential Geometry I and II is:

S. Kobayashi, K. Nomizu "Foundations of Differential Geometry" Volumes I and II (1963, 1969) Wiley.