Statement of Purpose

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Dear, I finish this year(2011) in physics with a distinction at National university of RWANDA . If it is possible you can give me more information for helping or facilitation about my aim of continue the master program. thank you

Anatoli Karpov, former world champion in chess, said one day: chess is my life, but my life is not reduced to chess. I can apply the same words to physics. My father showed me the rules of chess when I was 2 years old. Since then my life was full of chess. I played a lot and even became a champion among pupils of my home town Rustavi. My interests led me to the problems of artificial intellect and the language Prolog. Later, as a student of MIPT (Moscow Institute of Physics and Technology), I wrote a computer program that played the game "Reversi". Its partner was chosen to be an analogous program of Microsoft Corporation (Microsoft Windows, Games) at its master's level. I can not forget everyone's surprise when my program won 37:27.

But of course, my chief interests are in physics. By the time when I was 13 I had won 2 consecutive Olympiads of young physicists of Georgian Republic. I passed all final exams at my secondary school 3 years earlier, received a certificate of full secondary education and was admitted to the Department of Physics at Tbilisi State University. In recognition of my achievements I was not required to pass entrance exams. I studied there for 2 years and then transferred to MIPT. I will receive Bachelor's degree in June 1996.

I have two main areas of concentration: field theory and condensed matter. I spent 1994/95 academic year in ITEP (Institute for Theoretical and Experimental Physics) specializing in elementary particles. There I chose a career of a theoretician. To be admitted to the theoretical group at ITEP a student must pass two exams: on quantum mechanics and quantum field theory. I passed the first exam to professor Termartirosyan and I am now preparing for the second.

My specialization in condensed matter began this year when I passed an exam on quantum mechanics to professor Feigelman and was admitted to the theoretical group at Landau Institute. By June 1996 I will have completed one year of courses there. I am now studying magnetism, the theory of metals. Attending the weekly seminar on condensed matter gives me an opportunity to learn more about modern physics. I can mention two areas which became interesting to me, these are mesoscopic phenomena and spin glass. Not long ago I myself presented a review on mesoscopic phenomena at the seminar.

I am very interested in both field theory and condensed matter. That is why I concurrently attend lectures on Condensed Matter Theory and Magnetism and lectures on Quantum Field Theory. In my opinion I have had sufficient training to continue my graduate study in either of these two areas. I would like that my work be concerned both with field theory and condensed matter. So, I might choose something like superconductivity for my Ph.D. dissertation.

Let me list honors that I received: two 1st prizes at two Olympiads of young physicists of Georgian Republic; 1st prize at physics Olympiad among the students of Georgia; 1st prize at physics Olympiad among MIPT students; a reward at the annual MIPT conference on calculation methods; fellowship of the fund "Dar" - Russian organization for support of gifted children; Soros Fellowship - as a Soros Student; 1st degree in chess; a certificate with honors of 7 years of education in music (the piano). In conclusion I would like to draw your attention to the fact that all those achievements in physics I have are due to my interest and ability to learn by independent study. This fact assures me that I will be able to work successfully toward my Ph.D. degree at your University.

Everyone, sooner or later, should decide which career path to take. As for me, I have chosen Physics.

My interest in Physics has been developed during my school years, when I used to participate in Physics Olympiads. They gave me an opportunity to communicate with other boys also interested in Physics. On the other hand , the spirit of competition made me study a lot by myself. It is due to Olympiads that I developed self-discipline of regular studies. In 1991 , when I was in the 9th grade of my studies at school, I took part in Olympiad as a 10th-grade student. That year I had the best score at the Ukrainian and the 2nd prize at the USSR Physics Olympiad and was invited to the sessions of the International Physics Olympiad (IPhO) Team of the USSR. It made me realize, that no matter how young you are ,you are able to learn anything - all you need is enough will and willingness.

After that I have participated in two consecutive Ukrainian PhO and won the 1st prize in both. I was also the absolute winner of the last USSR PhO'92 In July, 1993 I took part in XXIV IPhO, which took place in the USA, Williamsburg,VA. 210 students from 42 countries participated in that Olympiad. I won silver medal there.

In 1993 I entered Moscow Institute of Physics and Technology ( MIPT ), Faculty of General and Applied Physics, being automatically exempted from the entrance exams. Studying at MIPT I especially enjoyed General Physics and Laboratory Courses. I was awarded P.N.Lebedev Physical Institute Fellowship for the Spring Term' 94 and " Excimer " Fellowship for the Fall Term' 94. These two awards are traditionally given to two students out of approx. 80 students on the basis of academic achievements. For the academic year 1994-95 I was awarded ISSEP (Soros) Student Grant, which is awarded to undergraduate students all over the former Soviet Union.

As an ISSEP stipendiat I was offered a position in the Executive Committee of Soros Schoolboys Physics Olympiad. I also participated in the IPhO sessions as an instructor. Both these occupations include responsibilities such as teaching, grading ,giving individual assistance to students, inventing theoretical problems as well as experimental assignments, work in labs and so on. Five of my problems invented for the sessions were also accepted to publication by student magazine "Quant". I believe that this kind of work is extremely useful, because teaching as well as inventing new problems always helps me understand better some concepts of Physics.

In 1992 I started research work at the Department of Molecular Photoelectronics of the Institute of Physics, Kiev. After six months of introductory courses I was affiliated with a Condensed Matter Research Group. Together with another graduate student I investigated extremely amazing, from my point of view, phenomenon in Physics of Liquid Crystals - the behavior of so called zigzag-declination. While working as a Research Assistant, I have learned how to handle with laboratory equipment and had an excellent opportunity of attending some scientific seminars, devoted to the latest researches done at the Institute. So I was able to know what was going on at other departments.

I am interested in Experimental Physics and planning the career of a physicist-researcher. I have decided to continue my education in the USA and would be glad if you can provide me with one.

am seriously interested in Physics from the time when I was a schoolboy. Not satisfied with standard school program I attended additional classes on Physics and Math at the nearest university and studied at the two correspondence Physics schools. This greatly developed my skills and helped me to win in three successive USSR School Physics Olympiads (1st diploma in 1986,1988 and 2nd diploma in 1987). I also participated in 19th International Physics Olympiad at Bad Ishl, Austria and won the Silver Medal there (2nd degree diploma, 21st position).

After graduation school with the Gold Medal I entered the Moscow Institute of Physics and Technology -- the best educational institution in Physics in Russia. I continued to work hard there. It may be confirmed by the fact that I was among the winners of MIPT Physics competitions in 1989,90 and 91 (the 2nd position in 1989 and the 1st in 1990).

The education at MIPT assumes a deep study of one branch of Physics and I have chosen Optics as my main subject because I think it is a rather interesting area. Maybe it is not so modern and impressing as, for example, High-Energy Physics but it is quite perspective and has many practical applications. Despite the fact that my main is only Optics I have listened a full course of General Physics and Theoretical Physics as well as a big deal of courses in Mathematics, Chemistry, Electronics, Computer Science and Philosophy. My grades were almost only '5'('excellent' - the USA equivalent is 'A'). While studying I received an increased fellowship (125% or 150% depending on term grades).

After studying for 3 years I became research assistant at P.N.Lebedev Physics Institute of Russian Academy of Sciences as a part of my education. I gain there the laboratory skills which are so necessary for researcher. Now I work among the scientists whose objectives are observation and investigation of processes occurring in nonequilibrium molecular plasma with the help of tunable infrared diode laser.

Unfortunately the latest changes in Russia brought about not only positive democratic reforms and political freedom but also reduction of employment possibilities for scientists and curtailment of stable government subsidies for scientific projects. As a result the concerning about students suffered a lot.

All this forced me to look for possibilities to continue my study in the USA. I think it would be a good chance to receive high-level education under guidance of strong scientists and excellent teachers and with the help of first-class equipment.

My motto has always been “The first and the best”. I follow it since high school. In seventh grade I started to win different contests, and in eleventh had the highest score at Russian National Physics Olympiad. I have three strong points that help me to win.

The first feature is ability to approach the target gradually and inevitably. If I set a long-time goal, I always get it, step-by-step, never reducing it or ceasing. That allowed me to graduate from high school in my fifteen with Gold medal. By this time, I have already used this idiosyncrasy in actual research. I participated in Young Physicists Tournament that required a half-year everyday work on about fifteen problems that included experiments and theories far beyond the high school program. In ninth grade I collected my team, and in eleventh we got the third prize at Russian National Round. It was funny to find in the January 97 issue of Notices of AMS the words of Richard Feynman about being the genius, as I used the twelve-problems-in-mind technique since my eighth grade of high school.

I continue to benefit from that feature in college. I have only excellent grades. I found myself having a very high physics motivation. On my first year I attended the Institute for Low Temperature Physics and Engineering and under Dr. A strenuously prepared for theoretical studies of low-dimensional systems. Once Dr. B gave me a problem on laser cooling, and I found it appealing. I have read many reviews and decided to dedicate some part of my future research to Bose condensation. To get prepared for the field I entered MIPT quantum radiophysics group, and at once started research in related areas. Under Dr. C I took part in He-3 experiment at Lebedev Physics Institute, my task was analyzing the mode structure of lasers used. That half-year practice gave me an extended knowledge of various instruments and techniques, and labs on advanced optics added experience. Recently I have discovered another applications for that trait. These are extracurricular activities. I search for some innovative idea, develop it and organize people to implement it. Due to my energy and constancy, it is brought to life.

The second trait that helps me to adhere to my motto is the unique brainstorming aptitude. I fully unfolded it in Olympiads. Solving fixed set of problems in short time, especially in competition – I love that passionately. Procrastination is a bad trait, but it is sometimes delightful to see that I can collect all my power and solve a two-month’s assignment in one big strike.

The third quality is good analytical and mathematical thinking. In high school I took Analysis, Geometry and Differential Equations at university level. I won my first XX Region Olympiad on Mathematics in seventh grade, and in 10th and 11th I was a candidate to National one. On my first year I attended Department of Mathematics lectures and seminars and especially enjoyed Abel Theorem special course. My grandfather always provides me with different books on group theory and mathematical physics. At MIPT in 1997 I won highly competitive Math Problem Solving Contest conducted for students of all years.

All the above will help me much in pursuing my career of researcher. My career decision has formed in early childhood. Both my parents hold Ph.D. in physics and mathematics and are active researchers; my living example was not someone distant but my own grandfather, member of Russian National Academy of Sciences. My most favored field has always been Condensed Matter. At Institute of Solid State Physics, preparing a report, I first came across quantum dots, and enjoyed the subject. Next semester I will have a ten hours per week of solid state lab sessions at ISSP, and I hope to get ready to study that issue.

I am very well prepared for experimental science. I am confident that I have the greatest background among all MIPT students. In addition, I am the first to perform all lab assignments, I had the best experimental scores on all olympiads, and think I will be very good in experiments. However, my family still sees me as theorist in Fields and Particles, and I always keep in mind careful theory preparation.

My interests are English language and computers. I think I have rather good experience in both. For example, in 1996 I won XX City Olympiad in English, and was offered admission to Foreign Languages Department of XX University. I three times was a candidate to XX team to National Olympiad on Informatics, and the material self-studied in high school allowed me to write unofficial GRE Computer Science for 60% rank. I also worked with Dr. D, the Institute for Low Temperature Physics leading programmer, in developing the applications for data analysis. Now my computer interests shifted to networks and Internet resources, and I think that practice will be very helpful in my future research.

Though I see myself as a researcher and would prefer RA as a source of funds, I am well prepared for Teaching Assistantship. I worked as an instructor in the School by Correspondence, assisted in conducting contests for the IPhO team candidates with Prof. E, and organizing committee of Young Physicists Tournament annually invites me to consult the teams and judge the rounds.

People sometimes doubt the ability of 18-year old person to cope with life problems. My parents first received a job abroad when I was fourteen, so I live on my own for the last four years and I am financially independent for the last two. I am sure I am ready for graduate studies, and my experience of everyday English usage in my month-long trips to Australia and the USA, combined with English study since age of four, gives me assurance I will have no problems of language barrier or cultural shock.

The latest changes in fSU countries have brought about a dramatic decrease in R&D funds. As experimental science requires intensive funding, I wish to continue my education in the USA. I think it would be a good chance to receive the top level education under guidance of prominent scientists and excellent teachers, and to have access to first-class equipment.

I understand that the above statement is rather immodest, and will require an outstanding performance after admission. I am absolutely sure I will justify your hopes.

I believe that having read my materials, you got a good idea of me . I think, it is no use to claim here my advantages, but I would still like to write a few words of Moscow Institute of Physics and Technology ( MIPT ), where I study, before I set forth my goals and reasons for applying to Harvard.

MIPT is the best educational institution of the former Soviet Union in physics ( it is not boasting, it is a valid generalization of many facts ). It provides adequate preparation comparable to US standards, independent study being emphasized. I hope that you have already met with MIPT students and they confirmed its reputation. If so, I would like you to consider me as an applicant from MIPT, not from somewhere in Russia.

As regards my interests in science, I know more about elementary particle physics and I find it more attractive than any other branch of physics ( and at MIPT I study in the group specializing in high energy physics ). Of course, it is too vague, but I don't want to put myself in the position of Buridan's donkey and try to choose somehow one of many topics, equally interesting to me at present. I would be glad to work on string theory, or supersymmetry theories, or, maybe, on their application to cosmology. And it would give me pleasure to search for Higgs or Z' bosons, or sparticles. All problems in this field attract me. On the whole, what to do is a less important question to me than how to do it, and I don't think it is a fault of mine. I plan to choose the topic of my future work later, as I come to know better both the subject and the faculty of the Department.

Of course, the main purpose of my longed-for studies at Harvard is getting adequate education to enter on a career in physics. I feel, and, I hope, you will be able to believe me, judging from my supporting materials, that this is a field I can be good in (although the last real successes I achieved in the field date back to my high-school years, when I was among the winners of some Byelorussia and USSR competitions on physics, and, maybe, are not relevant to my promise as scientist ). In the course of communication with many people working in science I got some idea of this work and I would be glad to engage in it myself. I like more and, I believe, I am more suited for research than for instruction. Although I have no serious experience in the former and only a slight acquaintance with the latter ( I used to work as a teacher in correspondence courses for prospective MIPT students and helped organize contests on physics and mathematics among high-school students ), I have the impression ( maybe, I am wrong ) that there exists a remarkable contrast between the enthralling nature of a researcher's work and the monotony of the work of teacher. In spite of my bias towards research career I understand the value of teaching assistant's experience and will be very grateful if you offer me such opportunity to continue my education ( although a fellowship or an assistantship in research still looks preferable to me ).

In all things I appreciate completeness and perfection. Probably that is why I like mathematics and prefer theory to experimental physics. Nevertheless, the difference doesn't seem very radical to me, and I would ask you not to deny my application further consideration if you find me not qualified for admission to specialization in theory.

Upon receiving the Ph.D. degree in physics I plan to get a job in a US research institution. It is probably easier said than done, but the development of SSC, LIGO or space programs and the immense research expenditures of US universities let me hope that this goal is attainable. And, I think, a Harvard degree could be of much help in my search for employment. I am sure that will and vigor can overcome the difficulties I may face, seeking such a job in the USA, which one cannot say of an analogous situation in Russia.

My second reason to apply to your university is my desire to join the community of outstanding people, a part of which Harvard faculty and student body are. At MIPT I have mixed with the brightest students and some of the best scientists of the former USSR. I can well see that contacts with such people are the best way of intellectual development, which is, in my opinion, indispensable to real professional perfection. Harvard is a famous place of concentration of the most prominent and creative people. Anyone who has something to do with physics can't help noticing how many great names and achievements are connected with Harvard. I am sure that contacts with the brilliant people of your current staff could make the most valuable part of my education.

Stating my goals and reasons for applying to Harvard, I can't fail to mention my firm intention to escape from Russia. Collapse of the economy and rapid decay of science in this country ( I am afraid, astrology is the only natural science the Russian public sees any sense in ) puts in danger the completion of my education and makes it quite impossible for me to find a job on graduation that would suit my interests and abilities. And for me it is not so difficult to endure any material hardships as my rejection of Soviet mentality and way of life ( Shakespeare's 66th sonnet is not a bit exaggerated picture of today's Russia ).

In my opinion, this personal motive is an advantage of mine: it is a strong incentive to take most seriously my would-be studies at Harvard. However, I don't want you to consider this aim of mine to be the main one: I am applying to the best US universities, not just to the USA (which would have been much more simple and sure ).

In conclusion I must say that I would regard my being admitted to Harvard not only as a great honor and success but more as a high responsibility and beginning of hard work. I don't know whether I shall have this honor but if I do, I will spare no pains to justify it.

To discover something new is the only destination for a scientist. Nowadays in the race for revealing secrets of the nature physicists have reached extremely high and low energies. Further advancement is connected with the use of very expensive methods. Still many unexplained nonlinear phenomena are lying on ‘every-day world’ energy scales, mainly in the fields of condensed matter and biophysics. For example, such widespread phenomenon as turbulence is yet to be adequately explained.

My interest in nonlinear and complex physical systems arose rather early, when I was in high school. Behavior of the oscillations in Toda’s and other models of lattices struck me. The results obtained in my research dealing with simulations of nonlinear atomic lattices awakened my interest in such things as integrability and the theory of solitons. Later, when I was at the International Physics Olympiad in Oslo, Norway, an article I read in daily IPhO’s newspaper piqued my interest in quantum chaos. To satisfy my interest and to expand my knowledge of physics and mathematics I entered Moscow Institute of Physics and Technology (MIPT).

During the period of 1996-98, I took several special courses in nonlinear dynamics, chaos and self-organization. Several books about chaotic systems also fascinated me. My interest in quantum chaotic systems proceeded with reading a web-book “Classical and Quantum Chaos” by Predrag Cvitanovic’. Professor in the Theory of Self-organization A encouraged me further with a book by Hans Meinhardt on the formation of patterns on the seashells. I found the theory developed in this book elegant, but its solutions were proposed for a limited set of parameters only. Therefore, I modified the author’s program by introducing new parameters and obtained several new patterns.

In 1997 I began my studies and research at the Kapitza Institute for Physical Problems (IPP). I found my experience there very useful. The lectures on advanced statistical physics at the IPP improved my understanding of many important statistical concepts such as disorder, critical phenomena, phase transitions etc. Moreover, in the special course of Prof. B on data analysis I have studied in detail a new method of analysis – wavelet transform, that is widely used in investigations of chaotic systems.

Last year I became interested in the properties of condensed matter and began to work at the IPP as a research assistant under the guidance of Prof. C, investigating the models of muonium formation in condensed media. After extensive work with data analysis and computer simulations we managed to explain the results of the experiment on charges behavior in liquid helium carried out by Dr. D (Kurchatov Inst.) I studied properties of superfluid helium and methods of SR spectroscopy along with new approaches to computer simulations. On the basis of this research I made the report entitled "The study of muon-electron pairs motion in liquid helium under the influence of external electric field" at the 1998 MIPT Scientific Conference. By the end of the spring, our results will be published.

The investigations of nonlinear phenomena are very widespread at Physics Department of the University of California at Berkeley, especially in CMT, Nonlinear Dynamics and Plasma Physics groups. Therefore, I want to study physics at Berkeley in order to get a thorough education and research experience in theoretical and computational studies of nonlinear phenomena in different physical systems and particularly in condensed matter. I hope this experience will allow me to explore different chaotic and disordered systems and to find new regularities in their formation and behavior. In addition, I would like to investigate chaos in quantum analogs of classically chaotic systems in order to detect novel connections of quantum mechanics to the classical one. The possibility of getting a TA position also attracts me. The satisfaction and valuable scientific ideas I have derived from my tutoring experience have convinced me that I would enjoy simultaneous teaching and research.

I would regard my admission to the University of California at Berkeley not only as a great honor and success but also as an obligation for hard work.

«Why in the world do you want to become a historian? Heaven knows Russia doesn’t need professional historians! » Having studied for five years at the department of history at Moscow State University, I was constantly surprised by how frequently I have been asked that particular question. Many have urged me over the years to make a change, to align my career with more basic interests. Unlike these people I have a firm believe that every person can create his happiness with his own hands, and my happiness is in history.

An intense interest in history has always been a trademark of mine. I grew up in a family of historians, so since early childhood I got used to the sounds of disputes in history, in which later I took part myself: Some day I grew to challenge my parents and win, using my own rules of logic and argument, in spite of their influence on my theories about history.

It was time when the USSR began its painful transformation into the new Russia; the time, full of revolutionary events and ideas, hopes and expectations for a new life after crush of communism. Conceptions, opinions and ideas, freedom of speech and opening of archives created favorable mental atmosphere, which inevitably stimulated my interest in history and aspiration for cognition. When I read books of Walter Scott, I was fascinated by Scotland. Soon my interest of Scotland became more concrete — I tried to examine actual resources of economic growth and rapid formation of capitalist system in XVIII century Scotland in order to find «remedies» for the diseases of Russian economy. My decision to become a historian followed logically the desire to grasp the meaning of the present and the perspectives of the future through understanding of the past.

Entering the department of history at Rostov State University (in my native city) was the first important step in my life. But after the first year of studies I realized that Russian «wind of change» didn’t influence «soviet» ideological approach to history, at least in the Russian province. At this time I have chosen the opinion of English philosopher Joseph Priestly as my motto: «We have to make our lives ourselves.» Inspired by the idea, I decided to do the next important step in my career: to change the kind of education and the way of life. I transferred to Moscow State University, the best institution for getting education in history in Russian Federation.

This year I graduated from Moscow State University and faced the dilemma of choosing the best way to continue my education. Today, standing on the threshold of the next vitally important period in my life, I am going to follow my principle in shaping my own life.

To help you understand my current goals better, I would like to explain my educational experience up to this point. While studying I was interested in modern British history, my research work was devoted to the British Enlightenment. The first course paper with the title «Political ideal of Joseph Priestly» had won recognition as one of the three best student’s works of the year at the department. Later I narrowed my focus to a particular problem of the Scottish Enlightenment, because my early interest to the Scottish Enlightenment was born of passion for Scotland. So in my next written works I investigated a contribution of Adam Ferguson, a famous Scottish philosopher, to development of political economy. The graduation paper had the title: «Social and economic thoughts of Adam Ferguson» and it took its place in the department’s library of the best graduation papers.

During educational process I had different experiences connected to history. For some time I was lucky enough to teach at school and work in archives and libraries (see attached Student report summary of academic records). Also my educational background and scientific importance of the theme helped me publish articles in historical magazines and to take part in conferences.

In terms of career, my goals are to teach history, conduct research projects, and publish results of the projects. To achieve my aims means to become a specialist with high qualifications. Unfortunately, the latest changes in Russia brought about not only positive democratic reforms and political freedom but also reduction of employment possibilities for scientists and curtailment of stable government subsidies for scientific projects. As a result, history suffers from this situation as all other fields of science do.

To my mind it is of key importance to have possibilities to obtain excellent education and to conduct certain research projects independently that is why I consider doctoral studies at Princeton University as the next professional stepping stone in my career. First of all, teaching assistantship program could provide me with the practical teaching experience. My desire is to learn in practice how to guide others in their explorations of the world through history, to encourage them to see in history all I see in it: the whole of human experience and the power of human intellect and imagination.

Further, earning a Ph.D. in history would advance my other goals by adding to my creative and analytical skills in history as well as in working with language. Development of history as a science in Russia depended on ideological strategy of the only ruling political party for the last seventy years. Inevitably it left traces on the main approach to history. With certainty I can assert, that manifestations of such approach are still very powerful in historical education in Russia. Apparently, we should take not only external democratic institutions, but rather change our approach to life, which can affect our approach to history. However it may be, Russian historians should use experience of colleagues from the countries with democratic traditions. I still feel I have so much more to learn about different approaches to history.

Taking all the circumstances into consideration, I came to the conclusion, that the best opportunity to pursue my «chosen path» would be to continue my education as a graduate student at Princeton University. The facilities, scholarship, and traditions of your university, combined with the caliber of the student’s body, make me confident that I will be stimulated throughout the course of my studies. Upon graduating from your program, a variety of options are available for pursuing my objectives.

In conclusion I must say that I would regard my being admitted to the graduate program not only as a great honor but more as a high responsibility and obligation of hard work.

It is noticed that science develops in splashes, changing our outlook. 19th century was the time of rapid development of thermodynamics and electrodynamics; in the beginning of the 20th century quantum mechanics and relativity were born. Now we seem to be at the dawn of efflorescence in nonlinear science and the study of complex systems. These systems are now identified in nearly all areas of science: information theory, biology, condensed matter physics, electronics, astrophysics, and so on.

I became interested in science when I was a high school student. Physics, Biology and Chemistry were fields of my special interest. I realized that one who wants to become a scientist must have not only an excellent grounding in theory but also wide research experience. At that time I became interested in nonlinear phenomena in biophysics. I worked with a group of high school students studying propagation of nerve impulse under the effect of high concentrations of detrimental compounds. As a result, we prepared a report to the all-Ukrainian high-school students’ Physics Conference. Simplicity and clarity of designed physical model along with importance and originality of the obtained results impressed me greatly.

My interest in nonlinear systems appeared when I was a first year student at Kiev University. Under the supervision of Dr. A I set about research on the characteristics of chaotic oscillations in Kiyashko-Pikovsky-Rabinovich generator. Our goal was to simulate oscillations produced by the system under different conditions and to modify the theory explaining statistical properties of oscillations produced in the studied regimes. Soon I developed computer simulation of the system. After a short period of investigations we discovered several new types of behavior of the generator. Lamerey's diagrams and phase-plane portraits were constructed for each new regime. From these results we reconstructed the overall bifurcation sequence leading to stochastic regimes and regions of parameter space, where the different types of oscillations exist. Results of the work were published in the Bulletin of Kiev University as well as presented at MIPT Scientific Conference and all-Ukrainian Student Scientific Conference.

After transferring to MIPT I started studies in nonlinear quantum optics. I took advanced theoretical and laboratory courses on the subject. In 1999 I began to work as a research assistant in Dr. B’s laboratory in Lebedev Physics Institute, Moscow. Along with two other MIPT students, I designed an arrangement for generation and detection of light with hidden polarization. Our ultimate goal was further improvement of squeezed light characteristics produced by parametric generator. As a part of the work I studied chaotic behavior of this system. This research gave me the extensive experience, since I had to familiarize myself with different aspects of theoretical, experimental and computational techniques. Later I found another application of optical systems with chaotic behavior while working on dynamics based computation project with Prof. C.

Last year I became interested in interconnection between chaos and information theory and joined Prof. C’s research group, which works in the field of information and communication technologies based on dynamical chaos. At the same time I took several courses on nonlinear dynamics, chaos, complexity and theory of self-organization. My first research project was “Dynamics Based Computation”. Plenty of information that I learned while working on it improved my understanding of such phenomena as self-organized criticality and information processing by chaotic map. Currently I am engaged in research on “Chaotic Map based Associative and Random Access Memory”. We have already designed Matlab program that records multiple text strings on one chaotic map and then identifies and restores recorded string on the basis of its substring. Now I am working on improvement of the effectiveness of this model.

I started my teaching practice as soon as I entered Kiev University in 1997. I conducted additional physics studies for gifted high school students in Ukrainian Lyceum of Physics and Mathematics in Kiev. I enjoyed this kind of work greatly so after transfer to MIPT I joined Prof. D's group that provides trainings for Russian International Physics Olympiad Team. This experience has convinced me that I would enjoy simultaneous teaching and research in the case of having TA position.

In the summary, my interest lies in the field of nonlinear dynamics and its applications, namely nonequilibrium physics, complex systems, self-organization, dynamics of neural networks. Research in this areas is very active at California Institute of Technology, namely at Physics, CNS, CDS and other departments. Therefore I want to continue my education at California Institute of Technology. I am sure that your PhD program will finally lead me to my dream – discovering of a secret of nature.