R. James Milgram
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R. James Milgram
Richard James Milgram (born 5 December 1939 in South Bend, Indiana) is an American mathematician, specializing in algebraic topology. He is the son of mathematician Arthur Milgram. Biography Milgram graduated from the University of Chicago with a bachelor's degree and a master's degree in 1961. He received his doctorate in 1964 from the University of Minnesota with thesis ''The homology ring of symmetric products of Moore spaces'' under the supervision of Alfred Aeppli (1928–2008). Milgram taught from 1970 as a professor at Stanford University, where he is now emeritus. He was a visiting professor at the University of Lille (2001), the Chinese Academy of Sciences (2000) in Beijing, at the University of Göttingen (1987 as Gauss Professor), and at the University of Minnesota (1986 as Ordway Professor), as well as the Swiss Federal Institute of Technology Zurich, ETH Zurich, Edinburgh, Montreal, Barcelona, the Mathematical Sciences Research Institute, MSRI, and the University of Ne ...
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South Bend, Indiana
South Bend is a city in and the county seat of St. Joseph County, Indiana, St. Joseph County, Indiana, on the St. Joseph River (Lake Michigan), St. Joseph River near its southernmost bend, from which it derives its name. As of the 2020 United States Census, 2020 census, the city had a total of 103,453 residents and is the List of cities in Indiana, fourth-largest city in Indiana. The South Bend-Mishawaka metropolitan area, metropolitan area had a population of 324,501 in 2020, while its combined statistical area had 812,199. The city is located just south of Indiana's border with Michigan. The area was settled in the early 19th century by fur traders and was established as a city in 1865. The St. Joseph River shaped South Bend's economy through the mid-20th century. River access assisted heavy industrial development such as that of the Studebaker, Studebaker Corporation, the Oliver Corporation, Oliver Chilled Plow Company, and other large corporations. The population of South B ...
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Gunnar Carlsson
Gunnar E. Carlsson (born August 22, 1952 in Stockholm, Sweden) is an American mathematician, working in algebraic topology. He is known for his work on the Segal conjecture, and for his work on applied algebraic topology, especially topological data analysis. He is a Professor Emeritus in the Department of Mathematics at Stanford University. He is the founder and president of the predictive technology company Ayasdi. Biography Carlsson was born in Sweden and was educated in the United States. He graduated from Redwood High School (Larkspur, California) in 1969. He received a Ph.D. from Stanford University in 1976, with a dissertation written under the supervision of R. J. Milgram. He was a Dickson Assistant Professor at the University of Chicago (1976-1978) and Professor at the University of California, San Diego (1978–86), Princeton University (1986-1991), and Stanford University (1991–2015) where he held the Anne and Bill Swindells Professorship and was Chair of the ...
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Jewish American Scientists
Jews ( he, יְהוּדִים, , ) or Jewish people are an ethnoreligious group and nation originating from the Israelites Israelite origins and kingdom: "The first act in the long drama of Jewish history is the age of the Israelites""The people of the Kingdom of Israel and the ethnic and religious group known as the Jewish people that descended from them have been subjected to a number of forced migrations in their history" and Hebrews of historical Israel and Judah. Jewish ethnicity, nationhood, and religion are strongly interrelated, "Historically, the religious and ethnic dimensions of Jewish identity have been closely interwoven. In fact, so closely bound are they, that the traditional Jewish lexicon hardly distinguishes between the two concepts. Jewish religious practice, by definition, was observed exclusively by the Jewish people, and notions of Jewish peoplehood, nation, and community were suffused with faith in the Jewish God, the practice of Jewish (religious) la ...
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Mathematicians From California
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia ...
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Mathematics Education In The United States
From kindergarten through high school, mathematics education in public schools in the United States has historically varied widely from state to state, and often even varies considerably within individual states. With the adoption of the Common Core Standards by 45 states, mathematics content across the country is moving into closer agreement for each grade level. Furthermore, the SAT, a standardized university entrance exam, has been reformed to better reflect the contents of the Common Core. Curricular content Each state sets its own curricular standards and details are usually set by each local school district. Although there are no federal standards, since 2015 most states have based their curricula on the Common Core State Standards in mathematics. The National Council of Teachers of Mathematics published educational recommendations in mathematics education in 1991 and 2000 which have been highly influential, describing mathematical knowledge, skills and pedagogical emphases f ...
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Mathematics Educators
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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Academic Journal Editors
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulation, d ...
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21st-century American Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius ( AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman empero ...
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List Of Jewish American Mathematicians
This is a list of notable Jewish American mathematicians. For other Jewish Americans, see Lists of Jewish Americans. * Abraham Adrian Albert (1905-1972), abstract algebra * Kenneth Appel (1932-2013), four-color problem * Lipman Bers (1914-1993), non-linear elliptic equations * Paul Cohen (1934-2007), set theorist; Fields Medal (1966) * Jesse Douglas (1897-1965), mathematician; Fields Medal (1936), Bôcher Memorial Prize (1943) * Samuel Eilenberg (1913-1988), category theory; Wolf Prize (1986), Steele Prize (1987) * Yakov Eliashberg (born 1946), symplectic topology and partial differential equations * Charles Fefferman (born 1949), mathematician; Fields Medal (1978), Bôcher Prize (2008) * William Feller (1906-1970), probability theory * Michael Freedman (born 1951), mathematician; Fields Medal (1986) * Hillel Furstenberg (born 1935), mathematician; Wolf Prize (2006/07), Abel Prize (2020) * Michael Golomb (1909-2008), theory of approximation * E. Morton Jellinek (1890-1963), ...
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National Board For Education Sciences
The Institute of Education Sciences (IES) is the independent, non-partisan statistics, research, and evaluation arm of the U.S. Department of Education. IES' stated mission is to provide scientific evidence on which to ground education practice and policy and to share this information in formats that are useful and accessible to educators, parents, policymakers, researchers, and the public. It was created as part of the Education Sciences Reform Act of 2002. The first director of IES was Grover Whitehurst, who was appointed in November 2002 and served for six years. Mark Schneider is currently the Director of IES. Divisions IES is divided into four major research and statistics centers: * National Center for Education Evaluation and Regional Assistance (NCEE)—NCEE conducts large-scale evaluations and provides research-based technical assistance and information about high-quality research to educators and policymakers in a variety of different formats. NCEE's work includes e ...
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