![\"Addition](\"http:\/\/blogs.ams.org\/mathgradblog\/files\/2013\/02\/index.jpg\")
<\/a>In some ways my new courses seem old.\u00a0 I am taking algebraic geometry and algebra.\u00a0\u00a0 Two of the main topics of these courses – rings and algebraic (especially elliptic) curves – were introduced to me in a previous algebraic number theory course.\u00a0 I am looking forward to cementing my understanding of these topics and learn some new concepts.\u00a0 I think I am on the road to becoming an algebraist.<\/p>\n<\/p>\n
My search for an advisor has begun with a professor who taught my undergraduate algebra course, my algebraic number theory course, and who is teaching my current algebra course.\u00a0 I’ve also reached out to two professors on the analysis side.\u00a0 What I know about analytical number theory interests me, but I don’t know if there are any open problems in this area that are accessible to me or that are appropriate for a Master’s thesis.\u00a0 Most professors with whom I’ve interacted have several thesis topics at the ready for their students.\u00a0 In contrast with the above, I have often heard that graduate students need to choose their own topic.\u00a0 However, at this stage of my life in mathematics I am comfortable with adopting a research topic and personalizing it as I progress toward a thesis.<\/p>\n
Finally, I have started a new blog with mathematical content.\u00a0 I got this idea from another blogger, Matt Might, and one of his several posts<\/a> about success in graduate school.\u00a0 Since I haven’t begun my research yet, my first posts have been and will be based on what I have learned in my courses and independent reading.\u00a0 For example, my first post was on the finiteness of the ideal class group.\u00a0 My second post, based on a proof of the transcendence of I plan to make the most of these new opportunities.\u00a0 Thus my goals for the semester are: Ace my two courses, find an advisor and research topic, and make