Unremarkable Ventures V

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_gcx
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Since threads are popping up. Sixth instalment.

Modules
I'm a third year at the University of Warwick doing maths. My primary interest at the moment tend towards analysis and probability, and I have a significant side interest in analytic number theory. I am going to be doing a third year essay in analytic number theory - topic TBD. This year is 100% options, I need to choose at least 120 and at most 150 CATs, with each maths module this year being 15 CATs. My third year will be 70% if I stay on the BSc and 35% otherwise.

The modules I intend to take are:
  • MA359 Measure Theory [Term 1]
  • MA395 Essay [Both terms]
  • MA3B8 Complex Analysis [Term 1]
  • MA3F1 Introduction to Topology [Term 1]
  • MA3G1 Theory of PDEs [Term 1]
  • MA3G7 Functional Analysis I [Term 1]
  • MA3G8 Functional Analysis II [Term 2]
  • MA3H5 Manifolds [Term 2]
  • ST318 Probability Theory [Term 2]
They swapped around a lot of modules since last year, when I first wrote it down it was 4 term 1 and 4 term 2, now it's 5 term 1 and 3 term 2. Was hoping to get manifolds out of the way in term 1 since I anticipate it will be quite hard.

Totalling 135 CATs, meaning my worst paper will be dropped.


School Results
A-Level: A* Maths/Further Maths/Physics/EPQ. C History
STEP: 2, 2
GCSE: 3 9s, 4 A*s, 3 As, 1 B


University Results

First Year: 90.5%
Second Year: 86.9%


Masters Applications

It's always been my plan to go elsewhere for masters and it's probably no surprise where I'm applying. I will be applying to Cambridge for the MASt in Pure Mathematics and to Oxford for the MSc in Mathematical Sciences. (OMMS) I get 11k loan from Student Finance and have to fund the rest out of pocket or with scholarships. My college choice will be with scholarships in mind only, I really do not care which one I go to. (I'll be able to make do with whatever I get) I have a strong preference towards the MASt. I may stay at Warwick over the OMMS if I get rejected for the MASt and don't get funding for OMMS, but not really in any other situation.

Cambridge - MASt Pure Mathematics (Provisionally: Wolfson First, Clare Hall Second)
  • xxx - Application Submitted
Oxford - OMMS (Lincoln College)
  • xxx - Application Submitted



Third Year Essay

Will be in the general region of analytic number theory. Exact topic TBD.
Last edited by _gcx; 1 month ago
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_gcx
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As I said in the OP they changed the term balance a bit. Was originally 4:4 with my two hardest (well, that I anticipate to be the hardest) modules (Intro to Top and Manifolds) being in one term, now they're a bit spread out. now that Riemann Surfaces is Term 1, I wouldn't have been able to take it even if I still intended to. So to briefly re-go over my choices:

Term 1:

  • Measure Theory - I didn't like the latexed notes that were on moodle (I think they might have been written by a previous student) and I don't like handwritten notes so I'm using Cohn. It's been good so far and it's gelling a lot more with me this time. I aim to finish this by term starting. Can't wait for the heavy-hitting integral theorems like monotone/dominated convergence. Plus the whole wanting to partially specialise in probability thing.
  • Complex Analysis - Most of this will be revision for me (albeit from a year or two ago) except the more topological/geometric bits. I don't know that much about mobius transformations and only have a vague idea on winding numbers. Expecting this to be one of my best marks similar to Analysis III.
  • Introduction to Topology - Haven't done much more than the definition of homotopy. Has not hooked me yet. It is very heavy on geometric intuition, I'm not really sure if I'll like this one. I do feel like it'll be my hardest. But I hear the exams and assignments are easy relative to the content difficulty.
  • Theory of PDEs - Haven't properly looked at it. The links with functional analysis look promising and skimming the lecture notes, it looks pretty good. Gives an introduction on distribution, so this should be a headstart for 4th year analysis and give me an idea over whether PDEs is a viable specialisation for me.
  • Functional Analysis I - Almost done this. Very much enjoyed it, not really that hard at all. Think I'll go to measure theory after, that or FA2.


Term 2:
  • Functional Analysis II - I've heard this is a bit dryer than FA1. It is certainly less popular. (FA1 is one of the most popular third year modules if not the most popular, FA2 is towards the bottom end) Doesn't look insanely advanced, should be an interesting one too.
  • Manifolds - looks very hard. It feels like you're thrown very abstract definitions without much motivation, but then you go on to only consider very special cases. Experience definitely helps. I guess I am glad this is term 2 because I have more time to get a bit of a headstart on it. Will definitely be the hardest module I've done so far conceptually. The assignments and exams don't look insane but it'll be open book so I'm not sure how it'll work out. Will have to work at it. Intro to Top being term 1 may help a bit.
  • Probability Theory - think I'll enjoy this. I've heard people find it a hard module but it plays to my strengths. If I do I think I'll be doing Advanced Probability & Stochastic Calculus (former is prereq for latter) if I go to Cambridge, Stochastic Analysis if I go to Warwick. Not sure about the probability modules at Oxford. If not then it was worth broadening my knowledge.

Both:
  • Essay - I've neglected Analytic Number Theory a bit. I only have 20 more pages of the notes I intended to work to, and I could probably knock that out relatively quickly if I crunched. Will ask very early on in term 1, maybe even before, about specific topics, will try to talk to him quite a bit if I'm not too nervous, and have a draft in by Christmas. I have no idea whether he'll know me well enough to write a reference. If he doesn't, and I can't find a third referee elsewhere I may just not apply Oxford which won't be the end of the world. My personal tutor from first year said yes so I have at least 2.
Last edited by _gcx; 2 months ago
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_gcx
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Wasn't feeling very positive about Introduction to Topology, I have provisionally swapped it out for Set Theory and I can't see going back. It starts on the level of a first year module, not very hard at all, and seems fairly interesting. The exams don't look unreasonably hard either.

On a similar note I've been erring on my third year essay topic. I'm going to email a few professors about doing more "pure" analysis or PDEs to see what other options I could have. I think I would prefer a slightly less notable supervisor in favour of a topic I'd enjoy more. I don't dislike analytic number theory, but it doesn't have me completely hooked, the manipulations are just a bit too inelegant.

I have started my personal statement, I do feel as if it's still a bit boring. I'm still not sure whether the third year essay supervisor would be able to write a reference.
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absolutelysprout
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will be watching and pretending i understand what you're talking about good luck with this year!
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_gcx
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(Original post by absolutelysprout)
will be watching and pretending i understand what you're talking about good luck with this year!
thanks! you too
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