第六次总结--我的PS

go2006UID: 2194087

一家之言.

大家都说PS很重要. 我对每个要申请的大学都有不同的PS.  Gter 在我申请时经常潜水(虽然在美国留学版). 作为回馈, 现在我把我申请UC Berkeley 的 写的PS转上来.  我相信 任何XXX PS 代写公司 都写不出来这样的尽管可能修辞比我写得好的多,华丽得多. 对于不同的方向如统计(及不同分枝), 应数及不同的学校等, 我都分别写. 大家尽管拍砖. 也希望有更多的PS 能上来. 回想去年的申请及雄心, 象梦一般. 现在还得拼搏.  

Thanks to Prof. xxxx, I obtained the opportunity to study mathematics in xxxx.

I had the impression that number theory is an area where many mathematics braches meet after I read the book A Classical Introduction to Modern Number Theory by Kenneth Ireland and Micheal Rosen before xxxxx. Although this book
may be elementary based on my today's knowledge, you can still be amazed by the number of areas you should know to obtain a picture on number theory and this book also shows the key role of algebraic geometry in number theory. Such experience let me set my research interest to be arithmetic algebraic geometry.

I want to continue in this area my Ph.D program in the University of California, Berkeley. Berkeley is one of world  leaders in modern geometry and consequently attracts talented researchers in other areas as well especially in number theory such as Prof. Ogg, whose name can not be neglected by anyone who is seriously interested in algebraic number theory, and currently active researchers like Prof. xxx, Prof. xxx and Prof. xxxx.  My knowledge of  these professors' research areas mainly comes from my discussion with Prof. xxxx and prof. xxxx  and these professors' topics of talks in various forums.  My goal is to become a professor specialized in number theory.  

Due to my background, xxxxxx I was awarded  xxx Studies Fellowship when xxxxx.
Only outstanding students in xxxxx have chances to be awarded such  Fellowships.

Besides taking xxxx courses, I also participated in a xxxx seminars such as xxx. In xxxxx, I was involved into the following topics: xxxxx.

During seminars, some professors tell me learning mathematics does not mean reading books after books any more after  you have the breadth of basic subject in mathematics but you have to learn what you need, otherwise you can not do
meaningful research. For example, Prof. xxxx told me:" If you want to grasp all aspects in xxx, maybe you need ten years to learn and so it is very important to use resource from your advisor" and I have similar advice  from Prof. xxx . My project that started from xxxx gives the best footnote of such advice.   

My project is about xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...xxxx

In order to do this project, I read, just name a few, xxxxxxxx.. xxxxx.

I would like to study in the area of arithmetic geometry in the PhD program at the University of California at  Berkeley. Berkeley attracts many talented researchers in number theory.  Just to name a few, Prof. xxxx, an  expert in p-adic methods and Prof. xxxx, who xxxx,

are all active researchers at Berkeley in arithmetic geometry.  Due to their conversation topics in various forums,  I am familiar with the research areas of these professors and I find that my research interest coincides with their
research areas.  As my ultimate goal is to become a professor specialized in arithmetic geometry, it would be an  honor to have the opportunity to work with theses professors.  

One possible PhD research project is related to the Langlands program. In the case of a function field, the  Langlands correspondence was proved by V.Drinfield and L. Lafforgue, and the geometric Langlands correspondence was  proved by xxx, xxx and xxx who is a professor at Berkeley. But it is not yet proved in the  case of a number field, except for some special cases when dimension n is 2 and the representation is coming from an  elliptic curve over the field of rational numbers. This exception is an equivalence formulation of the Taniyama-Shimura conjecture. The proposed research project will be focused on the case of number fields. The objective is not  to solve the Langlands conjecture for general n, but to try to obtain some results related to this problem.

Langlands program is a key area in algebraic number theory and any new result may be a significant contribution to  the final proof of it. To reach this objective, I plan firstly to grasp the modern language that describes Langlands  program and study the proof of Langlands program in the case of function fields and the proof of the Taniyama-Shimura conjecture in order to the learn tools used in these proofs. Also, I would like to understand the progress made toward the local Langlands conjecture.  It is worth it to point out that I do not plan to restrict myself to this subject for my PhD thesis. There are many other interesting problems that I will find appealing and hope to  have opportunity to work on in the future.



From learning advanced mathematics courses and independent studying, my preparation to Ph.D study in the field of  algebraic number theory and arithmetic geometry in UC Berkeley is enough and I am looking forward to standing at the
front of the research of this area after rigid training in UC Berkeley.

datouzhenUID: 2212029

师兄是哪里的啊  我也打算申请数学

dpilxUID: 2144414

lz牛人！ps这么有针对性，要是申请学校多了的话，可够呛了

Ella-EllaUID: 191056

楼主是不是有意换了其中的名字呢？我发现number theory某人的名字被调包了赫赫

Esther.LiUID: 191003

lz已经读过硕士了吧，本科生如果能写出这么牛的PS真……  orz

Heather_LauUID: 2223303

Berkley啊,N校啊~~~~

lyq0612UID: 190369

UC-BERKELEY的数学,太厉害了!!

go2006UID: 2194087

没去成