Answer the following question: Information: - Richard Courant (January 8, 1888 January 27, 1972) was a German American mathematician. He is best known by the general public for the book "What is Mathematics?", co-written with Herbert Robbins. - Cryptography or cryptology (from Greek "kryptos", "hidden, secret"; and "graphein", "writing", or "-logia", "study", respectively) is the practice and study of techniques for secure communication in the presence of third parties called adversaries. More generally, cryptography is about constructing and analyzing protocols that prevent third parties or the public from reading private messages; various aspects in information security such as data confidentiality, data integrity, authentication, and non-repudiation are central to modern cryptography. Modern cryptography exists at the intersection of the disciplines of mathematics, computer science, and electrical engineering. Applications of cryptography include ATM cards, computer passwords, and electronic commerce. - In mathematics, a Lie algebra (not ) is a vector space together with a non-associative multiplication called "Lie bracket" formula_1. When an algebraic product is defined on the space, the Lie bracket is the commutator formula_2. - Cryptanalysis (from the Greek "kryptos", "hidden", and "analyein", "to loosen" or "to untie") is the study of analyzing information systems in order to study the hidden aspects of the systems. Cryptanalysis is used to breach cryptographic security systems and gain access to the contents of encrypted messages, even if the cryptographic key is unknown. - The slide attack is a form of cryptanalysis designed to deal with the prevailing idea that even weak ciphers can become very strong by increasing the number of rounds, which can ward off a differential attack. The slide attack works in such a way as to make the number of rounds in a cipher irrelevant. Rather than looking at the data-randomizing aspects of the block cipher, the slide attack works by analyzing the key schedule and exploiting weaknesses in it to break the cipher. The most common one is the keys repeating in a cyclic manner. - Shanghai (": Zanhae" ), often abbreviated as Hu or Shen, is one of the four direct-controlled municipalities of the People's Republic of China. It is the most populous city proper in the world, with a population of more than 24 million . It is a global financial centre and transport hub, with the world's busiest container port. Located in the Yangtze River Delta in East China, Shanghai sits on the south edge of the mouth of the Yangtze in the middle portion of the Chinese coast. The municipality borders the provinces of Jiangsu and Zhejiang to the north, south and west, and is bounded to the east by the East China Sea. - An information system (IS) is any organized system for the collection, organization, storage and communication of information. More specifically, it is the study of complementary networks that people and organizations use to collect, filter, process, create and distribute data. - Greenwich Village, often referred to by locals as simply "the Village", is a neighborhood on the west side of Lower Manhattan, New York City. Greenwich Village has been known as an artists' haven, the Bohemian capital, the cradle of the modern LGBT movement, and the East Coast birthplace of both the Beat and '60s counterculture movements. "Groenwijck", one of the Dutch names for the village (meaning "Green District"), was Anglicized to "Greenwich". Two of New York's private colleges, New York University (NYU) and the New School, are located in Greenwich Village. - Prague is the capital and largest city of the Czech Republic. It is the 14th largest city in the European Union. It is also the historical capital of Bohemia. Situated in the north-west of the country on the Vltava river, the city is home to about 1.26million people, while its larger urban zone is estimated to have a population of nearly 2million. The city has a temperate climate, with warm summers and chilly winters. - Brooklyn is the most populous borough of New York City, with a Census-estimated 2,636,735 residents in 2015. It borders the borough of Queens at the southwestern end of Long Island. Since 1896, Brooklyn has had the same boundaries as Kings County, the most populous county in the U.S. state of New York, and the second-most densely populated county in the United States, after the county of New York (which is coextensive with the borough of Manhattan). - In cryptography, a cipher (or cypher) is an algorithm for performing encryption or decryptiona series of well-defined steps that can be followed as a procedure. An alternative, less common term is "encipherment". To encipher or encode is to convert information into cipher or code. In common parlance, 'cipher' is synonymous with 'code', as they are both a set of steps that encrypt a message; however, the concepts are distinct in cryptography, especially classical cryptography. - The Data Encryption Standard (DES, or ) is a symmetric-key algorithm for the encryption of electronic data. Although now considered insecure, it was highly influential in the advancement of modern cryptography. - Edna Grossman ( born Edna Kalka ) is an American mathematician . She was born in Germany , grew up in Brooklyn , New York , and graduated with a B.S. in mathematics from Brooklyn College . She earned her M.S. in mathematics from New York University 's Courant Institute of Mathematical Sciences , where she also received her Ph.D. in mathematics in 1972 ; her thesis , supervised by Wilhelm Magnus , concerned the symmetries of free groups . Grossman worked for IBM , where she was part of the team that designed and analyzed the Data Encryption Standard . She is known for her development , along with Bryant Tuckerman , of the first slide attack in cryptanalysis . - In mathematics, combinatorial group theory is the theory of free groups, and the concept of a presentation of a group by generators and relations. It is much used in geometric topology, the fundamental group of a simplicial complex having in a natural and geometric way such a presentation. A very closely related topic is geometric group theory, which today largely subsumes combinatorial group theory, using techniques from outside combinatorics besides. - Academic Ranking of World Universities (ARWU), also known as Shanghai Ranking, is an annual publication of university rankings by Shanghai Ranking Consultancy. The league table was originally compiled and issued by Shanghai Jiaotong University in 2003, the first global ranking with multifarious indicators, after which a board of international advisories was established to provide suggestions. The publication currently includes world's overall and subject league tables, alongside independent regional "Greater China Ranking" and "Macedonian HEIs Ranking". ARWU is regarded as one of the three most influential and widely observed university measures, alongside "QS World University Rankings" and "Times Higher Education World University Rankings". It is praised for its objective methodology but draws some condemnation for narrowly focusing on raw research power, undermining humanities and quality of instruction. - New York University (NYU) is a private nonprofit research university based in New York City. Founded in 1831, NYU is considered one of the world's most influential research universities. University rankings compiled by "Times Higher Education", "U.S. News & World Report", and the "Academic Ranking of World Universities" all rank NYU amongst the top 32 universities in the world. NYU is a fundamental part of the creativity, energy and vibrancy that is Manhattan, located with its core in Greenwich Village, and its campuses based throughout New York City. NYU is also a world-class university, operating NYU Abu Dhabi and NYU Shanghai, and 11 global academic centers in Accra, Berlin, Buenos Aires, Florence, London, Madrid, Paris, Prague, Sydney, Tel Aviv, and Washington, D.C. - The European Union (EU) is a political and economic union of member states that are located primarily in Europe. It has an area of , and an estimated population of over 510 million. The EU has developed an internal single market through a standardised system of laws that apply in all member states. EU policies aim to ensure the free movement of people, goods, services, and capital within the internal market, enact legislation in justice and home affairs, and maintain common policies on trade, agriculture, fisheries, and regional development. Within the Schengen Area, passport controls have been abolished. A monetary union was established in 1999 and came into full force in 2002, and is composed of 19 EU member states which use the euro currency. - In cryptography, a block cipher is a deterministic algorithm operating on fixed-length groups of bits, called "blocks", with an unvarying transformation that is specified by a symmetric key. Block ciphers operate as important elementary components in the design of many cryptographic protocols, and are widely used to implement encryption of bulk data. - The Courant Institute of Mathematical Sciences (CIMS) is an independent division of New York University (NYU) under the Faculty of Arts & Science that serves as a center for research and advanced training in computer science and mathematics. The Director of the Courant Institute directly reports to New York University's Provost and President and works closely with deans and directors of other NYU colleges and divisions respectively. The Courant Institute is named after Richard Courant, one of the founders of the Courant Institute and also a mathematics professor at New York University from 1936 to 1972. - Wilhelm Magnus (February 5, 1907, Berlin, Germany October 15, 1990, New Rochelle, NY) was a German American mathematician. He made important contributions in combinatorial group theory, Lie algebras, mathematical physics, elliptic functions, and the study of tessellations. - Dusseldorf (Low Franconian, Ripuarian: "Dusseldorp" ) is the capital city of the German state of North Rhine-Westphalia and the seventh most populous city in Germany. Dusseldorf is an international business and financial centre, renowned for its fashion and trade fairs. The city is headquarters to one Fortune Global 500 and two DAX companies. Messe Dusseldorf organises nearly one fifth of premier trade shows. - Paris (French: ) is the capital and most populous city of France. It has an area of and a population in 2013 of 2,229,621 within its administrative limits. The city is both a commune and department, and forms the centre and headquarters of the Ile-de-France, or Paris Region, which has an area of and a population in 2014 of 12,005,077, comprising 18.2 percent of the population of France. - Accra is the capital and most populous city of Ghana, with an estimated urban population of 2.27million . It is also the capital of the Greater Accra Region and of the Accra Metropolis District, with which it is conterminous. Accra is furthermore the anchor of a larger metropolitan area, the Greater Accra Metropolitan Area (GAMA), which is inhabited by about 4 million people and the thirteenth-largest metropolitan area in Africa. - Symmetric-key algorithms are algorithms for cryptography that use the same cryptographic keys for both encryption of plaintext and decryption of ciphertext. The keys may be identical or there may be a simple transformation to go between the two keys. The keys, in practice, represent a shared secret between two or more parties that can be used to maintain a private information link. This requirement that both parties have access to the secret key is one of the main drawbacks of symmetric key encryption, in comparison to public-key encryption (also known as asymmetric key encryption). - A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries. - Louis Bryant Tuckerman, III (November 28, 1915 May 19, 2002) was an American mathematician, born in Lincoln, Nebraska. He was a member of the team that developed the Data Encryption Standard (DES). - Sydney is the state capital of New South Wales and the most populous city in Australia and Oceania. Located on Australia's east coast, the metropolis surrounds the world's largest natural harbour, and sprawls towards the Blue Mountains to the west. Residents of Sydney are known as "Sydneysiders". Sydney is the second official seat and second official residence of the Governor-General of Australia and the Prime Minister of Australia and many federal ministries maintain substantial presences in Sydney. - In cryptography, encryption is the process of encoding messages or information in such a way that only authorized parties can access it. Encryption does not of itself prevent interference, but denies the intelligible content to a would-be interceptor. In an encryption scheme, the intended information or message, referred to as plaintext, is encrypted using an encryption algorithm, generating ciphertext that can only be read if decrypted. For technical reasons, an encryption scheme usually uses a pseudo-random encryption key generated by an algorithm. It is in principle possible to decrypt the message without possessing the key, but, for a well-designed encryption scheme, large computational resources and skill are required. An authorized recipient can easily decrypt the message with the key provided by the originator to recipients but not to unauthorized users. - Mathematical physics refers to development of mathematical methods for application to problems in physics. The "Journal of Mathematical Physics" defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". It is a branch of applied mathematics, but deals with physical problems. - The City of New York, often called New York City or simply New York, is the most populous city in the United States. With an estimated 2015 population of 8,550,405 distributed over a land area of just , New York City is also the most densely populated major city in the United States. Located at the southern tip of the state of New York, the city is the center of the New York metropolitan area, one of the most populous urban agglomerations in the world. A global power city, New York City exerts a significant impact upon commerce, finance, media, art, fashion, research, technology, education, and entertainment, its fast pace defining the term "New York minute". Home to the headquarters of the United Nations, New York is an important center for international diplomacy and has been described as the cultural and financial capital of the world. - Germany, officially the Federal Republic of Germany, is a federal parliamentary republic in central-western Europe. It includes 16 constituent states, covers an area of , and has a largely temperate seasonal climate. With about 82 million inhabitants, Germany is the most populous member state of the European Union. After the United States, it is the second most popular immigration destination in the world. Germany's capital and largest metropolis is Berlin. Other major cities include Hamburg, Munich, Cologne, Frankfurt, Stuttgart and Dusseldorf. - The Times Higher Education (THE), formerly the Times Higher Education Supplement (THES), is a weekly magazine based in London, reporting specifically on news and issues related to higher education. It is the United Kingdom's leading publication in its field. - Stuttgart ( Swabian: "Schduagert"), often nicknamed the ""Schwabenmetropole"" in reference to its location in the center of Swabia and the local dialect spoken by some natives, is the capital and largest city of the German state of Baden-Wurttemberg. It is located on the Neckar river in a fertile valley locally known as the "Stuttgarter Kessel" an hour from the Swabian Jura and the Black Forest. Stuttgart's name comes from the Old High German word ""Stuogarten"," or "stud farm" a reference to the city's founding in 950 AD as a stud farm. Stuttgarts urban area has a population of 623,738, and a further making it the sixth largest city in Germany, 2.7million people live in the citys administrative region, and another 5.3million people in its metropolitan area, making it the fourth largest metropolitan area in Germany. - Tel Aviv-Yafo is a major city in Israel, located on the country's Mediterranean coastline. It is known to be the financial center and the technology hub of Israel, with a population of , making it Israel's second largest city. Tel Aviv is the largest city in the Gush Dan region of Israel. Tel Aviv is also a focal point in the high-tech concentration known as the "Silicon Wadi". - A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems. - Brooklyn College is a senior college of the City University of New York, located in the Midwood neighborhood of Brooklyn, New York City. - Munich (also in British English ) is the capital and largest city of the German state of Bavaria, on the banks of River Isar north of the Bavarian Alps. Munich is the third largest city in Germany, after Berlin and Hamburg, and the 12th biggest city of the European Union, with a population of above 1.5million. The Munich Metropolitan Region is home to 5.8million people. - Long Island is an island located just off the northeast coast of the United States and a region within the U.S. state of New York. Stretching east-northeast from New York Harbor into the Atlantic Ocean, the island comprises four counties: Kings and Queens (which comprise the New York City boroughs of Brooklyn and Queens, respectively) to the west; then Nassau and Suffolk to the east. However, many people in the New York metropolitan area (even those living in Brooklyn and Queens) colloquially use the term "Long Island" (or "The Island") exclusively to refer to the NassauSuffolk county area collectively, which is mainly suburban in character. More generally, "Long Island" may also refer collectively both to the main Island as well as its nearby, surrounding outer barrier islands. North of the island is the Long Island Sound, across from which lie the states of Connecticut and a small part of Rhode Island across the Block Island Sound. Across the Sound, to the northwest, lies Westchester County on mainland New York. To the west, Long Island is separated from the Bronx and the island of Manhattan by the East River. To the extreme southwest, it is separated from the New York City borough of Staten Island and the U.S. state of New Jersey by Upper New York Bay, the Narrows, and Lower New York Bay. To the east lie Block Island and numerous smaller islands. - Europe is a continent that comprises the westernmost part of Eurasia. Europe is bordered by the Arctic Ocean to the north, the Atlantic Ocean to the west, and the Mediterranean Sea to the south. To the east and southeast, Europe is generally considered as separated from Asia by the watershed divides of the Ural and Caucasus Mountains, the Ural River, the Caspian and Black Seas, and the waterways of the Turkish Straits. Yet the non-oceanic borders of Europea concept dating back to classical antiquityare arbitrary. The primarily physiographic term "continent" as applied to Europe also incorporates cultural and political elements whose discontinuities are not always reflected by the continent's current overland boundaries. - Hamburg (local pronunciation ; Low German/Low Saxon: "Hamborg" ), officially "Freie und Hansestadt Hamburg" (Free and Hanseatic City of Hamburg), is the second largest city in Germany and the eighth largest city in the European Union. It is the second smallest German state by area. Its population is over 1.7 million people, and the wider Hamburg Metropolitan Region covers more than 5.1 million inhabitants. The city is situated on the river Elbe. - A republic (from ) is a sovereign state, country, or government which is organized with a form of government in which power resides in elected individuals representing the citizen body and government leaders exercise power according to the rule of law. In modern times, the definition of a republic commonly refers to a government which excludes a monarch. Currently, 147 of the world's 206 sovereign states use the word "republic" as part of their official names; not all of these are republics in the sense of having elected governments, nor do all nations with elected governments use the word "republic" in their names. - Computer science is the study of the theory, experimentation, and engineering that form the basis for the design and use of computers. It is the scientific and practical approach to computation and its applications and the systematic study of the feasibility, structure, expression, and mechanization of the methodical procedures (or algorithms) that underlie the acquisition, representation, processing, storage, communication of, and access to information. An alternate, more succinct definition of computer science is the study of automating algorithmic processes that scale. A computer scientist specializes in the theory of computation and the design of computational systems. - In cryptography, the so-called product ciphers are a certain kind of ciphers, where the (de-)ciphering of data is done in "rounds". The general setup of each round is the same, except for some hard-coded parameters and a part of the cipher key, called a subkey. A key schedule is an algorithm that, given the key, calculates the subkeys for these rounds. - In mathematics and computer science, an algorithm is a self-contained sequence of actions to be performed. Algorithms perform calculation, data processing, and/or automated reasoning tasks. - Mathematics (from Greek "mathma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics. - London is the capital and most populous city of England and the United Kingdom, as well as the most populous city proper in the European Union. Standing on the River Thames in the south east of the island of Great Britain, London has been a major settlement for two millennia. It was founded by the Romans, who named it "Londinium". London's ancient core, the City of London, largely retains its medieval boundaries. Since at least the 19th century, "London" has also referred to the metropolis around this core, historically split between Middlesex, Essex, Surrey, Kent, and Hertfordshire, which today largely makes up Greater London, governed by the Mayor of London and the London Assembly. - A research university is a university that expects all its tenured and tenure-track faculty to continuously engage in research, as opposed to merely requiring it as a condition of an initial appointment or tenure. Such universities can be recognized by their strong focus on innovative research and the prestige of their brand names. On the one hand, research universities strive to recruit faculty who are the most brilliant minds in their disciplines in the world, and their students enjoy the opportunity to learn from such experts. On the other hand, new students are often disappointed to realize their undergraduate courses at research universities are overly academic and fail to provide vocational training with immediate "real world" applications; but many employers value degrees from research universities because they know that such coursework develops fundamental skills like critical thinking. - A U.S. state is a constituent political entity of the United States of America. There are 50 states, which are bound together in a union with each other. Each state holds administrative jurisdiction over a defined geographic territory, and shares its sovereignty with the United States federal government. Due to the shared sovereignty between each state and the federal government, Americans are citizens of both the federal republic and of the state in which they reside. State citizenship and residency are flexible, and no government approval is required to move between states, except for persons covered by certain types of court orders (e.g., paroled convicts and children of divorced spouses who are sharing custody). Given the paragraphs above, decide what entity has the relation 'field of work' with 'group theory'.
Answer:
edna grossman