Will Merry: Catalogue data in Autumn Semester 2020 |
Name | Dr. Will Merry |
Field | Mathematics |
Department | Mathematics |
Relationship | Assistant Professor |
Number | Title | ECTS | Hours | Lecturers | |
---|---|---|---|---|---|
401-0000-00L | Communication in Mathematics | 2 credits | 1V | W. Merry | |
Abstract | Don'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. In addition, the course will help you establish a working knowledge of LaTeX. | ||||
Objective | Knowing how to present written mathematics in a structured and clear manner. | ||||
Content | Topics covered include: - Language conventions and common errors. - How to write a thesis (more generally, a mathematics paper). - How to use LaTeX. - How to write a personal statement for Masters and PhD applications. | ||||
Lecture notes | Full lecture notes will be made available on my website: https://www.merry.io/teaching/ | ||||
Prerequisites / Notice | There are no formal mathematical prerequisites. | ||||
401-3531-00L | Differential Geometry I 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. In this case, you cannot change the category assignment by yourself in myStudies but must take contact with the Study Administration Office (Link) after having received the credits. | 10 credits | 4V + 1U | W. Merry | |
Abstract | This 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 | |||||
Literature | There 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. |