Will Merry: Catalogue data in Autumn Semester 2018 |
| Name | Dr. Will Merry |
| Field | Mathematics |
| Department | Mathematics |
| Relationship | Assistant Professor |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 401-0000-00L | Communication in Mathematics | 1 credit | 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. | ||||
| Learning objective | Knowing how to present written mathematics in a structured and clear manner. | ||||
| Content | Topics 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 notes | Full lecture notes will be made available on my website: www.merry.io/communication-in-mathematics | ||||
| 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. | 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. | ||||
| Learning objective | |||||
| Lecture notes | I will produce full lecture notes, available on my website at www.merry.io/differential-geometry | ||||
| 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. | ||||