Elliptic curves, group law, and efficient computation

This thesis is about the derivation of the addition law on an arbitrary elliptic curve and efficiently adding points on this elliptic curve using the derived addition law. The outcomes of this research guarantee practical speedups in higher level operations which depend on point additions. In particular, the contributions immediately find applications in cryptology. Mastered by the 19th century mathematicians, the study of the theory of elliptic curves has been active for decades. Elliptic curves over finite fields made their way into public key cryptography in late 1980’s with independent proposals by Miller [Mil86] and Koblitz [Kob87]. Elliptic Curve Cryptography (ECC), following Miller’s and Koblitz’s proposals, employs the group of rational points on an elliptic curve in building discrete logarithm based public key cryptosystems. Starting from late 1990’s, the emergence of the ECC market has boosted the research in computational aspects of elliptic curves. This thesis falls into this same area of research where the main aim is to speed up the additions of rational points on an arbitrary elliptic curve (over a field of large characteristic). The outcomes of this work can be used to speed up applications which are based on elliptic curves, including cryptographic applications in ECC. The aforementioned goals of this thesis are achieved in five main steps. As the first step, this thesis brings together several algebraic tools in order to derive the unique group law of an elliptic curve. This step also includes an investigation of recent computer algebra packages relating to their capabilities. Although the group law is unique, its evaluation can be performed using abundant (in fact infinitely many) formulae. As the second step, this thesis progresses the finding of the best formulae for efficient addition of points. In the third step, the group law is stated explicitly by handling all possible summands. The fourth step presents the algorithms to be used for efficient point additions. In the fifth and final step, optimized software implementations of the proposed algorithms are presented in order to show that theoretical speedups of step four can be practically obtained. In each of the five steps, this thesis focuses on five forms of elliptic curves over finite fields of large characteristic. A list of these forms and their defining equations are given as follows: (a) Short Weierstrass form, y2 = x3 + ax + b, (b) Extended Jacobi quartic form, y2 = dx4 + 2ax2 + 1, (c) Twisted Hessian form, ax3 + y3 + 1 = dxy, (d) Twisted Edwards form, ax2 + y2 = 1 + dx2y2, (e) Twisted Jacobi intersection form, bs2 + c2 = 1, as2 + d2 = 1, These forms are the most promising candidates for efficient computations and thus considered in this work. Nevertheless, the methods employed in this thesis are capable of handling arbitrary elliptic curves. From a high level point of view, the following outcomes are achieved in this thesis. - Related literature results are brought together and further revisited. For most of the cases several missed formulae, algorithms, and efficient point representations are discovered. - Analogies are made among all studied forms. For instance, it is shown that two sets of affine addition formulae are sufficient to cover all possible affine inputs as long as the output is also an affine point in any of these forms. In the literature, many special cases, especially interactions with points at infinity were omitted from discussion. This thesis handles all of the possibilities. - Several new point doubling/addition formulae and algorithms are introduced, which are more efficient than the existing alternatives in the literature. Most notably, the speed of extended Jacobi quartic, twisted Edwards, and Jacobi intersection forms are improved. New unified addition formulae are proposed for short Weierstrass form. New coordinate systems are studied for the first time. - An optimized implementation is developed using a combination of generic x86-64 assembly instructions and the plain C language. The practical advantages of the proposed algorithms are supported by computer experiments. - All formulae, presented in the body of this thesis, are checked for correctness using computer algebra scripts together with details on register allocations.

Reading nineteenth century schoolbooks online : user behavior in a digitized special collection

Special collections, because of the issues associated with conservation and use, a feature they share with archives, tend to be the most digitized areas in libraries. The Nineteenth Century Schoolbooks collection is a collection of 9000 rarely held nineteenth-century schoolbooks that were painstakingly collected over a lifetime of work by Prof. John A. Nietz, and donated to the Hillman Library at the University of Pittsburgh in 1958, which has since grown to 15,000. About 140 of these texts are completely digitized and showcased in a publicly accessible website through the University of Pittsburgh’s Library, along with a searchable bibliography of the entire collection, which expanded the awareness of this collection and its user base to beyond the academic community. The URL for the website is http://digital.library.pitt.edu/nietz/. The collection is a rich resource for researchers studying the intellectual, educational, and textbook publishing history of the United States. In this study, we examined several existing records collected by the Digital Research Library at the University of Pittsburgh in order to determine the identity and searching behaviors of the users of this collection. Some of the records examined include: 1) The results of a 3-month long user survey, 2) User access statistics including search queries for a period of one year, a year after the digitized collection became publicly available in 2001, and 3) E-mail input received by the website over 4 years from 2000-2004. The results of the study demonstrate the differences in online retrieval strategies used by academic researchers and historians, archivists, avocationists, and the general public, and the importance of facilitating the discovery of digitized special collections through the use of electronic finding aids and an interactive interface with detailed metadata.

Children and the environment

Children and the environment cover a broad, interdisciplinary field of research and practice. The social sciences often use the word “environment” to mean the social, political, or economic context of children’s lives, but this bibliography covers physical settings. It focuses on a place-based scale that children can see, hear, taste, smell, touch, and navigate: not large, abstract scales such as national identities or population dynamics, or small scales such as environmental impacts on genes or cell functions. Attention to the everyday settings of children’s lives grew in the 18th century, when Romantic literature introduced the theme of children and nature. In the 19th century, concern for children’s welfare included an interest in conditions for children in burgeoning industrial cities, and justifications for early streetcar and railroad suburbs included claims that they would save children from the dangers of cities and provide the healthful benefits of natural surroundings. In the 20th century, academic disciplines developed different lines of inquiry about the impact of the physical environment on children and how children relate to places: ethnographic studies of children in different parts of the world in the fields of anthropology and geography; sociological studies of different populations of children in different settings; educational research on the learning opportunities that different school and out-of-school settings afford; medical research to understand disease vectors and the impact of pollutants on children; and efforts in the field of environment and behavior research more broadly, to understand how built and designed environments affect children physically, cognitively, socially, and emotionally. At the beginning of the 21st century, children and the environment is an active area of inquiry seeking to understand rapidly changing conditions for children as the world urbanizes, opportunities for free play outdoors and independent mobility erode in many parts of the world, media environments consume more of children’s time, and awareness grows that children need opportunities to contribute to creating sustainable societies.

Gossip we can trust: Defamation law and non-fiction

Drawing on two case studies, this article considers the allegation of a disgruntled author: ’Defamation was framed to protect the reputations of 19th century gentlemen hypocrites'. The first case study considers the litigation over Bob Ellis' unreliable political memoir, ’Goodbye Jerusalem', published by Random House. The second case study focuses upon the litigation over the allegation by Media Watch that Richard Carleton had plagarised a documentary entitled ’Cry from the Grave'. The article considers the meaning of defamatory imputations, the range of defences, and the available remedies. It highlights the competing arguments over the protection of reputation and privacy, artistic expression, and the freedom of speech. This article concludes that defamation law should foster ’gossip we can trust'.

Kalleuksia isänmaalle : Eliel Aspelin-Haapkylä taiteen keräilijänä ja taidehistorioitsijana

Treasures of a Patriot Eliel Aspelin-Haapkylä as an art collector and art historian Treasures of a Patriot is a study of Eliel Aspelin-Haapkylä (1847 - 1917), professor of aesthetics and modern literature, as an art collector and art historian. The study combines the biographical perspective, art history as a discipline in the 19th-century Finland, and Aspelin-Haapkylä s art historical scholarship. My intention was to answer to questions such as what kind of an art collector an academic art historian was, why he collected art and cultural-historical objects and what the purpose of his collecting was. Aspelin-Haapkylä was an ideal choice for the main character because the ideologies of the era, culture, art and European ideas, especially German ideas about museums, are intertwined in his life. In addition, the ideas of the Fennomen can be found in his ideological background. Together with his wife, Ida Aspelin-Haapkylä, he bequeathed a rich donation to the National Museum of Finland, and a wideranging archive concerning the collection, his writings, and letters to the Finnish Literature Society. I have highlighted the materials from the archives related both to the collection and art history, especially the letters between Aspelin-Haapkylä and artists, fellow members of academia, his spouse and relatives. The content and the structure of the research are divided into seven main chapters. First, I discuss Susan M. Pearce s theory of collecting and the history of collecting. I also introduce some other art historians who were private collectors. The late 19th-century Fennomen and other nationalists who were active in cultural life and the arts, are introduced in the second chapter. In the third I deal with Aspelin-Haapkylä s collection of European art combined with his writings, his early published works, studies and many trips to Europe. The fourth and the fifth chapters are dedicated to those Finnish artists who he wrote biographies of, and the artists of his own era whom he supported. The sixth chapter discusses institutions and channels of influence and power through which the initiative to found the National Museum of Finland, his action in the Antell Delegation and co-operation with the art merchant Henryk Bukowski, rise up to the fore. Finally, I process the last will and the fate of the collection from 1917 until 1932. As an appendix, I have included a report and reconstruction of the art collection. The catalogue is based on the words in Aspelin-Haapkylä s the so-called blue notebooks, which I have completed with additions from other sources.

Luonto, tiede ja teknologia : Kansanvalistuksen Suomi-kuva 1870-1920

Nature, science and technology. The image of Finland through popular enlightenment texts 1870-1920 This doctoral thesis looks at how Finnish popular enlightenment texts published between 1870 and 1920 took part in the process of forming a genuine Finnish national identity. The same process was occurring in other Nordic countries at the time and the process in Finland was in many ways influenced by them, particularly Sweden. In Finland the political realities under Russian rule especially during the Russification years, and the fact that its history was considered to be short compared to other European countries, made this nation-building process unique. The undertaking was led by members of the national elite, influential in the cultural, academic as well as political arenas, who were keen to support the foundation of a modern Finnish identity. The political realities and national philosophy of history necessitated a search for elements of identity in nature and the Finnish landscape, which were considered to have special national importance: Finland was very much determined as a political entity on the basis of its geography and nature. Nature was also used as means of taking a cultural or political view in terms of, for example, geographical facts such as the nation s borders or the country s geographical connections to Western Europe. In the building of a proper national identity the concept of nature was not, however, static, but was more or less affected by political and economic progress in society. This meant that nature, or the image of the national landscape, was no longer seen only as a visual image of the national identity, but also as a source of science, technology and a prosperous future. The role of technology in this process was very much connected to the ability to harness natural resources to serve national interests. The major change in this respect had occurred by the early 20th century, when indisputable scientific progress altered the relationship between nature and technology. Concerning technology, the thesis is mainly interested in the large and at the time modern technological manifestations, such as railways, factories and industrial areas in Finland. Despite the fact that the symbiosis between national nature and international but successfully localized technology was in Finnish popular enlightenment literature depicted mostly as a national success story, concerns began to arise already in last years of the 19th century. It was argued that the emerging technology would eventually destroy Finland s natural environment, and therefore the basis of its national identity. The question was not how to preserve nature through natural science, but more how to conserve such natural resources and images that were considered to be the basis of national identity and thus of the national history. National parks, isolated from technology, and distant enough so as to have no economic value, were considered the solution to the problem. Methodologically the thesis belongs to the genre of science and technology studies, and offers new viewpoints with regard to both the study of Finnish popular enlightenment literature and the national development process as a whole.

Suomi kasvitieteen kieleksi : Elias Lönnrot termistön kehittäjänä

The development of botanical Finnish: Elias Lönnrot as the creator of new terminology In the 19th century the Finnish language was intentionally developed to meet the demands of civilised society and Finnish-language science. The development of the language involved several people from different fields of science. This study examines this enormous project in the field of botany. By which methods were scientific terms formed, and for which reasons were those terms used? Why has a certain word been chosen to represent a particular concept? The material of this study is the terminology of plant morphology in Finnish that Elias Lönnrot developed in the middle of the 19th century. The terms of plant morphology denote and describe the parts of the plant and the relationships between those parts. For instance, the terms emi pistill , hede stamen , terälehti petal and verholehti sepal , which are nowadays familiar in the general language, were used for the first time in Lönnrot s texts. The study integrates the methods of lexicology and terminology. In lexicology, the word and its various meanings serve as the focus, whereas the theory of terminology focuses on the concept and concept systems. A new, consciously developed terminology can be understood through the old, familiar vocabulary and structures as well as through the new, logical term system. Lönnrot s botanical terminology can be divided into three groups depending on their origin: 1) 19% of all terms have been accepted from the existing vocabulary and used in their original meanings, 2) 11% of all terms have been chosen from the existing vocabulary and used in the new, specific botanical meanings, and 3) 70% of all terms have been created on the basis of the existing vocabulary and used in the new, specific botanical meanings. Therefore, the study reveals that domestic materials primarily morphosemantic neologisms form the Finnish terminology of plant morphology. Characteristic of Lönnrot s botanical terms is the utilisation of the vocabulary of various Finnish dialects and particular repeating elements. Repeating elements include, for example, the prefixes that come from botanical Latin or Swedish as well as the particular Finnish derivation types. Such structures form term systems that reflect scientific concept systems. Two thirds of the created new words are formed loosely or precisely according to either Latin or Swedish terms; one third is formed completely differently from its equivalents in the foreign languages. Approximately half of the chosen terms are formed differently from the Latin and Swedish terms. It is worth noting that many loan translations use rare vocabulary from Finnish dialects as equivalents to foreign parts of terms. Lönnrot aimed to inspire scientific terminology with Finland s own language, thus making scientific text accessible to the Finnish agricultural population.

Passion vallassa : Hermostunut aika Minna Canthin teoksissa

Under the power of passion. The age of nervousness in Minna Canth s works This research contemplates the psychology of Minna Canth s characters through the historical image of man in late 19th century Europe. The central operative term of the study is passion , understood as a twofold philosophical concept that includes both desire and suffering. The method of this study is historical and contextual. The study interprets the passions and the psychology of Canth s characters as they were understood in their own time. The indicator of the relevant contexts is the realist and naturalist genre of Canth s works. New research on the genre of the time is also the basis of a new kind of psychological approach to Canth s works. The most important context of passion in Canth s works is the positivistic and pathological image of man at the end of the 19th century. Then, passion was widely discussed, and was perceived as a physiological phenomenon that influenced humans neurologically and caused different kinds of physiological symptoms and nervous disorders. But at the same time, passion was understood as a manifestation of human instincts and drives. The naturalistic literature of the day aimed at creating deterministic studies of human morality and psychology following Émile Zola s application of experimental science methods in his writing. The pathological image of man is most explicitly manifested in Canth s formerly unknown short story Lääkäri (Doctor, 1891), in which a doctor who is interested in psychology visits a jail to meet a peculiar criminal, a girl who feels no remorse for her multiple crimes. In other works of Canth the medically motivated viewpoint is more hidden in the deterministic narrative and depiction of the characters. The present study approaches the passion in Minna Canth s works through five thematic chapters, in witch characters are interpreted suffering from blind love, ennui, crippling romantic idealism, melancholy, guilt and nostalgia, and their stories can be prescribed as medical histories which depict the born of the passion and its development towards ruin. All protagonists are also manifestations of their own time. Canth criticises the modern life and its demands as well as social defects through the tragic stories of individuals. The study demonstrates that Canth did not, like previous research has suggested, wait until the 1890s before writing works of a psychological nature but had already written according to the psychological paradigm of her time in Työmiehen vaimo (1885). The social and psychological interests intertwine in Canth s works and are not exclusionary as has formerly been interpreted. Canth is also critical of the medical power implicit in the naturalist experimental method and this shows itself especially in her depiction of working class women.

J. L. Runebergs samlade skrifter i textkritisk belysning

The Collected Works of J. L. Runeberg from the Viewpoint of Textual Scholarship The theoretical framework of this dissertation builds on textual scholarship. The dissertation explores the history of Runeberg’s publications and his relations with his publishers, from his debut and the first editions, through the editions of collected works published during the course of his life, to the later commercial editions, including the critical edition, published in 1933–2005 by the Svenska Vitterhetssamfundet (The Swedish Society for Belles Lettres) and The Svenska litteratursällskapet i Finland (The Society of Swedish Literature in Finland). The various editions of Runeberg’s collected works are situated in their respective critical traditions, from the 19th century German Ausgabe letzter Hand, to the influence of Anglo-American bibliography on Swedish textual criticism in the late 20th century. By making use of primary material previously not used for research purposes, the author is able to present a new view on Runebergian publishing history, including Runeberg’s fees and his relations with the censor authorities. There are indications that his Finnish publishers could not bear the cost of his sizable fees, that were in proportion neither with the book market in Finland nor with the numbers of copies sold. Apart from a certain body of editions the primary material is comprised of correspondences, publishing contracts, printing house invoices, as well as censor authority records. One of the conclusions drawn is that the early and detailed biography, Biografiska anteckningar om Johan Ludvig Runeberg (Biographical Notes on …) by J. E. Strömborg is not reliable in matters concerning publishing history, and that this work has been used far too uncritically. The history of the critical edition gets a chapter of its own, based on primary material in Swedish and Finnish archives. Finally, the author analyses the critical choices, made primarily in the critical edition, and uses examples from the commercial editions to study the editors’ interventions over time, from the 1850s to the 1920s. The changes to the text are usually small and subtle, but cumulative – and in some cases, crucial for the interpretation of the work. One objective of textual scholarship should be to examine the publishing history of a single work or of an author’s œuvre, and another to pay attention both to changes in a work as such and to the shifts of meaning they might entail.

Reconstructions of past climates from documentary and natural sources in Finland since the 18th century

In this paper both documentary and natural proxy data have been used to improve the accuracy of palaeoclimatic knowledge in Finland since the 18th century. Early meteorological observations from Turku (1748-1800) were analyzed first as a potential source of climate variability. The reliability of the calculated mean temperatures was evaluated by comparing them with those of contemporary temperature records from Stockholm, St. Petersburg and Uppsala. The resulting monthly, seasonal and yearly mean temperatures from 1748 to 1800 were compared with the present day mean values (1961-1990): the comparison suggests that the winters of the period 1749-1800 were 0.8 ºC colder than today, while the summers were 0.4 ºC warmer. Over the same period, springs were 0.9 ºC and autumns 0.1 ºC colder than today. Despite their uncertainties when compared with modern meteorological data, early temperature measurements offer direct and daily information about the weather for all months of the year, in contrast with other proxies. Secondly, early meteorological observations from Tornio (1737-1749) and Ylitornio (1792-1838) were used to study the temporal behaviour of the climate-tree growth relationship during the past three centuries in northern Finland. Analyses showed that the correlations between ring widths and mid-summer (July) temperatures did not vary significantly as a function of time. Early (June) and late summer (August) mean temperatures were secondary to mid-summer temperatures in controlling the radial growth. According the dataset used, there was no clear signature of temporally reduced sensitivity of Scots pine ring widths to mid-summer temperatures over the periods of early and modern meteorological observations. Thirdly, plant phenological data with tree-rings from south-west Finland since 1750 were examined as a palaeoclimate indicator. The information from the fragmentary, partly overlapping, partly nonsystematically biased plant phenological records of 14 different phenomena were combined into one continuous time series of phenological indices. The indices were found to be reliable indicators of the February to June temperature variations. In contrast, there was no correlation between the phenological indices and the precipitation data. Moreover, the correlations between the studied tree-rings and spring temperatures varied as a function of time and hence, their use in palaeoclimate reconstruction is questionable. The use of present tree-ring datasets for palaeoclimate purposes may become possible after the application of more sophisticated calibration methods. Climate variability since the 18th century is perhaps best seen in the fourth paper study of the multiproxy spring temperature reconstruction of south-west Finland. With the help of transfer functions, an attempt has been made to utilize both documentary and natural proxies. The reconstruction was verified with statistics showing a high degree of validity between the reconstructed and observed temperatures. According to the proxies and modern meteorological observations from Turku, springs have become warmer and have featured a warming trend since around the 1850s. Over the period of 1750 to around 1850, springs featured larger multidecadal low-frequency variability, as well as a smaller range of annual temperature variations. The coldest springtimes occurred around the 1840s and 1850s and the first decade of the 19th century. Particularly warm periods occurred in the 1760s, 1790s, 1820s, 1930s, 1970s and from 1987 onwards, although in this period cold springs occurred, such as the springs of 1994 and 1996. On the basis of the available material, long-term temperature changes have been related to changes in the atmospheric circulation, such as the North Atlantic Oscillation (February-June).

Käännösten historia, kirjallisuushistoria, kulttuurihistoria

Abstract (The history of translations, the history of literature, the history of culture): The article first introduces the extensive exhibition catalogue published in Marbach in 1982, which illustrates the wideranging interest for translations during the epoch of Goethe, and secondly it gives an overview of research on the history of translations conducted in Finland. Furthermore, the relevance of the history of translations both for the history of literature and for the history of culture is discussed. The history of literature is interpreted in terms of four various forms: the history of culture and the history of ideas, or as a part of them; the history of the literary field, or as the history of the change of this field (the sociology of literature); the history of different styles; and as the history of individual authors. In all these fields, translations represent interesting research material: they function as clear indicators of various phenomena in the history of literature. In the history of translation, translators are also highlighted as profound but often forgotten individuals with cultural impact. At the end of the article, a brief case study is presented with focus on a new interest in Spanish literature in 19th century Finland, with a background in the German Romanticism and its interest for Spain.

Endemic malaria: an 'indoor' disease in northern Europe

Background: Endemic northern malaria reached 68°N latitude in Europe during the 19th century, where the summer mean temperature only irregularly exceeded 16°C, the lower limit needed for sporogony of Plasmodium vivax. Because of the available historical material and little use of quinine, Finland was suitable for an analysis of endemic malaria and temperature. Methods: Annual malaria death frequencies during 1800–1870 extracted from parish records were analysed against long-term temperature records in Finland, Russia and Sweden. Supporting data from 1750–1799 were used in the interpretation of the results. The life cycle and behaviour of the anopheline mosquitoes were interpreted according to the literature. Results: Malaria frequencies correlated strongly with the mean temperature of June and July of the preceding summer, corresponding to larval development of the vector. Hatching of imagoes peaks in the middle of August, when the temperature most years is too low for the sporogony of Plasmodium. After mating some of the females hibernate in human dwellings. If the female gets gametocytes from infective humans, the development of Plasmodium can only continue indoors, in heated buildings. Conclusion: Northern malaria existed in a cold climate by means of summer dormancy of hypnozoites in humans and indoor transmission of sporozoites throughout the winter by semiactive hibernating mosquitoes. Variable climatic conditions did not affect this relationship. The epidemics, however, were regulated by the population size of the mosquitoes which, in turn, ultimately was controlled by the temperatures of the preceding summer.

Crucible Steel in South India-Preliminary Investigations on Crucibles from Some Newly Identified Sites

European accounts from the 17th century onwards have referred to the repute and manufacture of “wootz’, a traditional crucible steel made especially in parts of southern India in the former provinces of Golconda, Mysore and Salem. Pliny's Natural History mentions the import of iron and steel from the Seres which have been thought to refer to the ancient southern Indian kingdom of the Cheras. As yet the scale of excavations and surface surveys is too limited to link the literary accounts to archaeometallurgical evidence, although pioneering exploratory investigations have been made by scholars, especially on the pre-industrial production sites of Konasamudram and Gatihosahalli discussed in 18th-19th century European accounts. In 1991–2 during preliminary surveys of ancient base metal mining sites, Srinivasan came across unreported dumps with crucible fragments at Mel-Siruvalur in Tamil Nadu, and Tintini and Machnur in Karnataka and she collected surface specimens from these sites as well as from the known site of Gatihosahalli. She was also given crucible fragments by the Tamil University, Tanjavur, from an excavated megalithic site at Kodumanal, dated to ca 2nd c. Bc, mentioned in Tamil Sangam literature (ca 3rd c. BC-3rd c. AD), and very near Karur, the ancient capital of the Sangam Cheras. Analyses of crucible fragments from the surface collection at Mel-Siruvalur showed several iron prills with a uniform pearlitic structure of high-carbon hypereutectoid steel (∼1–1.5% C) suggesting that the end product was uniformly a high-carbon steel of a structure consistent with those of high-carbon steels used successfully to experimentally replicate the watered steel patterns on ‘Damascus’ swords. Investigations indicate that the process was of carburisation of molten low carbon iron (m.p. 1400° C) in crucibles packed with carbonaceous matter. The fabric of crucibles from all the above mentioned sites appears similar. Preliminary investigations on these crucibles are thus reported to establish their relationship to crucible production of carbon steel and to thereby extend the known horizons of this technology further.

El viajero Wilhelm von Humboldt y sus sucesores: caracterización cultural del País Vasco en las descripciones de viaje del siglo XIX

Berta Raposo Fernández e Ingrid García Wistädt (editoras)

Holding mirrors up to Hamlet: what Franco Zeffirellis and Michael Almereydas filmic adaptations of the play tell us about it

Hamlet (1601), de William Shakespeare, é, desde o Fólio de 1623, circundada por um enorme e variado volume de leituras, que abrangem desde textos críticos e teóricos até as mais diversas adaptações teatrais e cinematográficas. Desde o final do século 19, o cinema vem adaptando peças de Shakespeare, fornecendo novos pontos de vista e sugestões para a encenação dessa obra ao levá-la inúmeras vezes para as telas. Dentre uma longa lista de adaptações fílmicas de Hamlet, o Hamlet mainstream de Franco Zeffirelli (1990) e o Hamlet 2000 (2000), filme independente de Michael Almereyda, compõem o corpus eleito para análise nesta dissertação. Dialogando com noções de críticos e teóricos que desenvolveram estudos sobre o conceito de adaptação, tais como André Bazin, Robert Stam e Linda Hutcheon, sugiro uma desierarquização entre a peça shakespeariana e os filmes logo, entre literatura/teatro e cinema. O objetivo final deste trabalho encontra-se na proposta de uma reflexão sobre esses filmes enquanto potenciais materiais críticos elucidativos para o estudo da peça, úteis na discussão de alguns de seus mais importantes temas e/ou questões