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USA | Thursday, 25 Jun 2015 | Views [404]
In the algebra short course, we continued our discussion about modules before moving on to category theory. Along the way, Professsor Aktar took a detour to talk a bit about motivation for some of these ideas and definitions. This brought us to homology, ... Read more >
Tags: advice, analysis, dgvf, math, thompson group t
USA | Wednesday, 24 Jun 2015 | Views [339]
During analysis, we moved on to measurable functions on an arbitrary measurable space. It was almost entirely new material, but there were some concepts, like lim sup and lim inf that I'd encountered in my full semester undergraduate, which came as a ... Read more >
Tags: analysis, homology, math, thompson group
USA | Tuesday, 23 Jun 2015 | Views [298]
On Sunday, it was time to actually do math again. In the early afternoon, we met up in the lounge to look at the problem that Dr. Farley had given us over the weekend. (By which I mean 10 o'clock the night before.) It was a three part problem, though ... Read more >
Tags: math, movie, music
USA | Sunday, 21 Jun 2015 | Views [315]
Friday's class began with a definition of simplicial complexes. I knew a little bit about them from the presentation one of my classmates had given at the end of last semester. However, in his presentation, he'd jumped right into the realization instead ... Read more >
Tags: analysis, diagram groups, homology, math
USA | Sunday, 21 Jun 2015 | Views [454]
Thursday was the algebra short course. As with analysis, we were moving on to more advanced material that we might encounter in more detail in a graduate course.
It began with a description of Zorn's Lemma, and an application to prove that every proper ... Read more >
Tags: abstract algebra, diagram, library, math, trees
USA | Friday, 19 Jun 2015 | Views [300]
On Wednesday, we got started an hour earlier than normal with a conversation with Dr. Phillips. He asked us a number of questions about our experiences so far at SUMSRI. Some of them we were able to answer easily and helpfully, (“What would you ... Read more >
Tags: analysis, math, topology
USA | Thursday, 18 Jun 2015 | Views [323] | Comments [1]
Tuesday began with the algebra short course. We'd pretty much finished up with groups last Thursday, so we started in on rings. So in about a week, we'd skimmed through the material covered in my Abstract 1 class and were moving on to Abstract 2. It ... Read more >
Tags: abstract algebra, fireflies, graphs, loops, math
USA | Wednesday, 17 Jun 2015 | Views [379] | Comments [1]
No one really wanted to get up for analysis on Monday morning. I woke up with my alarm at 7, decided it wasn't happeing, added half an hour to my alarm clock, and fell back asleep. For the first time all program, Dana did not wake up before her alarm ... Read more >
Tags: abstract algebra, analysis, library, math
USA | Saturday, 13 Jun 2015 | Views [387]
Today began the same way Wednesday did. Witth breakfast (my breakfast habits get very fixed very quickly. Pretty much every morning it's been coffee and a muffin, usually chocolate chip) and then resarch seminar. (Beginning the morning with coffee, ... Read more >
Tags: analysis, groups, math, reflection, topology
USA | Friday, 12 Jun 2015 | Views [353]
Like Tuesday, today began with with the algebra short course. We got a new packet, though we spent the entire day finishing u pmaterial from the first packet. Which meant more groups, normal subgroups, quotient groups, and homomorphisms. So more Abstract ... Read more >
Tags: abstract algebra, graphs, math, research problem, topology
USA | Thursday, 11 Jun 2015 | Views [331]
Today, the schedule was switched around a bit from what I've gotten used to. (I know, it's only been two days. I can't really pretend that I'm used to a set routine and be upset when they change it. But still...) Rather than beginning with a short course, ... Read more >
Tags: abstract algebra, analysis, fundamental theorem, graphs, math, topology
USA | Wednesday, 10 Jun 2015 | Views [304]
Today felt less busy than yesterday. We started later, but ended at nerly thie same time, which was part of it. However, I think the bigger difference was that today made more sense than yesterday. It was also more focused, with everything being about ... Read more >
Tags: abstract algebra, graphs, groups, math
USA | Tuesday, 9 Jun 2015 | Views [360]
As I was updating my Googele Calendar with the schedule that I got from the program, my main thought was “we sure are spending a lot of time in Reserach Seminars.” This was followed by “well, duh. It is a summer research program.”... Read more >
Tags: algebra, analysis, math, topology
USA | Monday, 8 Jun 2015 | Views [187]
Whenever people asked me what my summer plans were, I had the choice of what to tell them. If I wanted to make it sound really interesting, I'd say I was going to Oxford to do research. If I wanted to make it sound moderately interesting I'd say I was ... Read more >
Tags: beginnings, math
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