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Neil Chriss
Neil A. Chriss is a mathematician, academic, hedge fund manager, philanthropist and a founding board member of the charity organization "Math for America" which seeks to improve math education in the United States. Chriss also serves on the board of trustees of the Institute for Advanced Study. Early career Chriss learned programming at the age of 11. He developed a videogame called D' Fuse and sold it to Tymac when he was a sophomore in high school. The game quickly faded when the Commodore 64 with 64K of memory and much better graphics appeared. Chriss went to the University of Chicago, where he majored in mathematics. Following his junior year in college, he worked at Fermilab with Myron Campbell and Bruce Denby; he developed a neural network to find b-quark jets. He then earned his master's degree in applied mathematics at Caltech. Chriss studied pure mathematics at the University of Chicago, working in the Langlands Program. He received a Ph.D. in 1993, with the thesis ''A ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
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 Hyp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Victor Ginzburg
Victor Ginzburg (born 1957) is a Russian American mathematician who works in representation theory and in noncommutative geometry. He is known for his contributions to geometric representation theory, especially, for his works on representations of quantum groups and Hecke algebras, and on the geometric Langlands program (Satake equivalence of categories). He is currently a Professor of Mathematics at the University of Chicago. Career Ginzburg received his Ph.D. at Moscow State University in 1985, under the direction of Alexandre Kirillov and Israel Gelfand. Ginzburg wrote a textbook ''Representation theory and complex geometry'' with Neil Chriss on geometric representation theory. A paper by Alexander Beilinson, Ginzburg, and Wolfgang Soergel introduced the concept of Koszul duality (cf. Koszul algebra) and the technique of "mixed categories" to representation theory. Furthermore, Ginzburg and Mikhail Kapranov developed Koszul duality theory for operads. In noncommutati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Trinomial Tree
The trinomial tree is a lattice-based computational model used in financial mathematics to price options. It was developed by Phelim Boyle in 1986. It is an extension of the binomial options pricing model, and is conceptually similar. It can also be shown that the approach is equivalent to the explicit finite difference method for option pricing. For fixed income and interest rate derivatives see Lattice model (finance)#Interest rate derivatives. Formula Under the trinomial method, the underlying stock price is modeled as a recombining tree, where, at each node the price has three possible paths: an up, down and stable or middle path. These values are found by multiplying the value at the current node by the appropriate factor u\,, d\, or m\, where : u = e^ : d = e^ = \frac \, (the structure is recombining) : m = 1 \, and the corresponding probabilities are: : p_u = \left(\frac\right)^2 \, : p_d = \left(\frac\right)^2 \, : p_m = 1 - (p_u + p_d) \,. In the above formulae: ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Binomial Options Pricing Model
In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses a "discrete-time" ( lattice based) model of the varying price over time of the underlying financial instrument, addressing cases where the closed-form Black–Scholes formula is wanting. The binomial model was first proposed by William Sharpe in the 1978 edition of ''Investments'' (), and formalized by Cox, Ross and Rubinstein in 1979 and by Rendleman and Bartter in that same year. For binomial trees as applied to fixed income and interest rate derivatives see . Use of the model The Binomial options pricing model approach has been widely used since it is able to handle a variety of conditions for which other models cannot easily be applied. This is largely because the BOPM is based on the description of an underlying instrument over a period of time rather than a single point. As a consequence, it is used to value Am ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Risk (magazine)
''Risk'' magazine provides news and analysis covering the financial industry, with a particular focus on risk management, derivatives and complex finance. It includes articles and papers on credit risk, market risk, risk systems, swap option pricing, derivatives risk and pricing, regulation and asset management. Articles include news, features, comment, analysis and mathematical papers. Risk has a tradition of covers featuring pieces of abstract modern art. The magazine was founded by Peter Field in 1987. It was owned by Risk Waters Group, then acquired by Incisive Media, and is now owned by Infopro Digital. Editors include: Tom Osborn, Philip Alexander, Lukas Becker, Rob Mannix and Mauro Cesa, with Duncan Wood as Editor-in-Chief. Energy Risk — a sister title that covers energy trading and risk management — was spun off in 1994. Risk magazine has another sister publication – Asia Risk – focusing on the Asia-Pacific region. Risk also runs industry-specific events, in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Goldman Sachs
Goldman Sachs () is an American multinational investment bank and financial services company. Founded in 1869, Goldman Sachs is headquartered at 200 West Street in Lower Manhattan, with regional headquarters in London, Warsaw, Bangalore, Hong Kong, Tokyo, Dallas and Salt Lake City, and additional offices in other international financial centers. Goldman Sachs is the second largest investment bank in the world by revenue and is ranked 57th on the Fortune 500 list of the largest United States corporations by total revenue. It is considered a systemically important financial institution by the Financial Stability Board. The company has been criticized for a lack of ethical standards, working with dictatorial regimes, close relationships with the U.S. federal government via a "revolving door" of former employees, and driving up prices of commodities through futures speculation. While the company has appeared on the 100 Best Companies to Work For list compiled by ''Fortune'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Emanuel Derman
Emanuel Derman (born 1945) is a South African-born academic, businessman and writer. He is best known as a quantitative analyst, and author of the book ''My Life as a Quant: Reflections on Physics and Finance''. He is a co-author of Black–Derman–Toy model, one of the first interest-rate models, and the Derman–Kani local volatility or implied tree model, a model consistent with the volatility smile. Derman, who first came to the U.S. at age 21, in 1966, is currently a professor at Columbia University and Director of its program in financial engineering. Until recently he was also the Head of Risk and a partner at KKR Prisma Capital Partners, a fund of funds. His book ''My Life as a Quant: Reflections on Physics and Finance'', published by Wiley in September 2004, was one of Business Week's top ten books of the year for 2004. In 2011, he published ''Models.Behaving.Badly'', a book contrasting financial models with the theories of hard science, and also containing some autob ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Stochastic Calculus
Stochastic calculus is a branch of mathematics that operates on stochastic processes. It allows a consistent theory of integration to be defined for integrals of stochastic processes with respect to stochastic processes. This field was created and started by the Japanese mathematician Kiyoshi Itô during World War II. The best-known stochastic process to which stochastic calculus is applied is the Wiener process (named in honor of Norbert Wiener), which is used for modeling Brownian motion as described by Louis Bachelier in 1900 and by Albert Einstein in 1905 and other physical diffusion processes in space of particles subject to random forces. Since the 1970s, the Wiener process has been widely applied in financial mathematics and economics to model the evolution in time of stock prices and bond interest rates. The main flavours of stochastic calculus are the Itô calculus and its variational relative the Malliavin calculus. For technical reasons the Itô integral is the mos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theory
Probability theory is the branch of mathematics concerned with probability. Although there are several different probability interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms formalise probability in terms of a probability space, which assigns a measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified subset of the sample space is called an event. Central subjects in probability theory include discrete and continuous random variables, probability distributions, and stochastic processes (which provide mathematical abstractions of non-deterministic or uncertain processes or measured quantities that may either be single occurrences or evolve over time in a random fashion). Although it is not possible to perfectly predict random events, much can be said about their behavior. Two major results in probab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantitative Analyst
Quantitative may refer to: * Quantitative research, scientific investigation of quantitative properties * Quantitative analysis (other) * Quantitative verse, a metrical system in poetry * Statistics, also known as quantitative analysis * Numerical data, also known as quantitative data * Quantification (science) In mathematics and empirical science, quantification (or quantitation) is the act of counting and measuring that maps human sense observations and experiences into quantities. Quantification in this sense is fundamental to the scientific method ... See also * Qualitative {{disambig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John M
John is a common English name and surname: * John (given name) * John (surname) John may also refer to: New Testament Works * Gospel of John, a title often shortened to John * First Epistle of John, often shortened to 1 John * Second Epistle of John, often shortened to 2 John * Third Epistle of John, often shortened to 3 John People * John the Baptist (died c. AD 30), regarded as a prophet and the forerunner of Jesus Christ * John the Apostle (lived c. AD 30), one of the twelve apostles of Jesus * John the Evangelist, assigned author of the Fourth Gospel, once identified with the Apostle * John of Patmos, also known as John the Divine or John the Revelator, the author of the Book of Revelation, once identified with the Apostle * John the Presbyter, a figure either identified with or distinguished from the Apostle, the Evangelist and John of Patmos Other people with the given name Religious figures * John, father of Andrew the Apostle and Saint Peter * P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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