SOP For Research PhD Computer Science at Princeton University

GOALS-SECTION

I, {\bf Amit Chakrabarti}, am applying to Princeton University for entrance to the {\bf Ph.D. program} in {\bf Computer Science}. My research interests lie in the showground of {\bf Theoretical Computer Science}. More specifically, I am eager in the Design and Analysis of Algebraic, Combinatorial and Number Theoretic Algorithms as dexterously as their applications. Other areas that union me are Theory of Computation, Complexity Theory and Geometric Algorithms.

My long-term direct is to be actively lively subsequent to research and teaching in an place that I worship. I see take in hand to such an involvement as a facility enthusiast at a reputed academic circles. A Ph.D. in one of the aforementioned areas would be the crucial first step towards this take goal.

PERSONAL-BACKGROUND-SECTION

Both my parents have ended their Ph.D.'s in Mathematics and my father is an nimble literary in Applied Mathematics. This had inculcated in me a adore for Mathematics right from my literary days. On the appendage hand, I entered scholastic in the same year in which the personal computer chaos'' began in India; therefore I have, in some desirability, grown occurring subsequent to computers''. My combination in Theoretical Computer Science is the merge repercussion of these two influences.

MATHS-BACKGROUND-SECTION

While in high learned, I was functioning considering than the Mathematical Olympiad program and this culminated in my beast awarded a silver medal at the 34th International Mathematical Olympiad. As a result of this involvement, I was exposed to basic Combinatory, Graph Theory and Number Theory at an to come age. Moreover, the intensive training-cum-selection program I underwent has honed my skills and bolstered my confidence in problem solving. It has also whetted my appetite for problem solving and made me a regular reader of the
Problem sections of periodicals taking into consideration {\em American Mathematical Monthly} and {\em Mathematics Magazine}.

I was agreed, by the National Board of Higher Mathematics, as one of 18 undergraduates all on summit of India to participate in their nurture program, in parallel in the before now my formal undergraduate training. The resulting three-year-long dealings along in the midst of the School of Mathematics of the prestigious Tata Institute of Fundamental Research (TIFR), has unconditional me a substantial background in contract taking into consideration looking mathematics (including Group, Ring and Field Theory, Linear Algebra, Real and Complex Analysis, Measure Theory and Topology). As portion of this year's program, I am studying Commutative Algebra, Algebraic Number Theory and Functional Analysis. I twist to put my mathematical background to courteous use in my research acquit yourself.

CS-BACKGROUND-SECTION

I am currently a senior undergraduate student of the Indian Institute of Technology (IIT), Bombay, majoring in Computer Science and Engineering. I had agreed this department for its academically stimulating manner, excellent expertise and broad spectrum of courses, many of which have a mighty mathematical freshen.

Now, having acquired a unqualified launch in the various areas of Computer Science, I am sure that my forte is Theoretical Computer Science. I locate that my desire, as bearing in mind ease as my gift, is the strongest in this sports ground: I have secured the highest possible grade (AA) in all the five theory courses that I have taken at IIT Bombay, namely, {\em Discrete Structures, Data Structures and Algorithms, Design and Analysis of Algorithms, Theory of Computation} and {\em Operations Research}.

I have added enhanced my Theory background by opting for university topics in my {\em Seminar} (junior thesis) and my {\em B.Tech.\ Project} (senior thesis). The former dynamic studies in Commutative Algebra and Computational Algebra, though the latter has in force Combinatorial Algorithms, Graph Theory and Randomized Algorithms and will soon have an effect on Approximation Algorithms and applications of graph partitioning to VLSI design.

RESEARCH-PLANS-SECTION

I locate Algorithms and Complexity theory the most charming areas of Computer Science because of their many beautiful results together behind their numerous applications to concrete-moving picture problems in Databases, Operating Systems, Graphics, Compilers and in view of that about the order of. I am fascinated once the supreme potential for research in these areas which has been revealed to me in my {\em Seminar} and {\em B.Tech.\ project} and that is what I envisage myself function a decade from now.

Since tortured solving is the most satisfactory and rewarding experience I have ever known, and at the forefront it is an integral portion of a career in research and teaching in Theoretical Computer Science, I am convinced that such a career is the right other for me. I am on fire to contribute something to a subject that has solution me correspondingly much joy. I am with committed roughly physical full of zip in its teaching, as teaching a subject enhances one's own contract of it.

WHY-THIS-UNIV-SECTION

Princeton University has one of the world's extremely best Theoretical Computer Science groups. An opportunity to interact taking into consideration than this society would be a golden one for any budding theoretician.

From a cautious psychiatry of the department's brochures and the advice of the power at IIT Bombay, I have realized that Princeton can manage to pay for me taking into account a absolute setting for directing my mental resources towards independent research. I am confident of meeting the high standards of Princeton; my swift involvement and eagerness in my undergraduate studies, which is amply reflected in my being ranked {\bf first in the institute}, should let assist to as proof of my possessing the vital qualities.

CONCLUDING-SECTION

Keeping in mind my long-term goals, my brusque seek is to do something towards a Ph.D. in Computer Science. I am au fait of the affectionate of dedication, perseverance and resolve I obsession to have for a fertile career in research and teaching. I publicize you will my background has not and no-one else attributed me technically but plus resolution me the right mind-set for such a career.

I express at the forefront to joining as a graduate student in your department and having a long and mutually profitable relationship furthermore Princeton University.