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Aise Johan De Jong
Aise Johan de Jong (born 30 January 1966) is a Dutch mathematician and professor of mathematics at Columbia University. His research interests include arithmetic geometry and algebraic geometry. He maintains the Stacks Project. Early life and education De Jong was born in Bruges, Belgium on 30 January 1966. He attended the Christelijk Gymnasium Sorghvliet in The Hague, Netherlands. He obtained his master's degree at Leiden University in 1987, under the supervision of Antonius Van de Ven. He earned his Ph.D. ''cum laude'' at the Radboud University Nijmegen in 1992, under the supervision of Frans Oort and Joseph H. M. Steenbrink. Career De Jong spent 1 year as a visitor at the Max Planck Institute for Mathematics, 3 months as a visitor at Bielefeld University, and then 3 years as a fellow at the Royal Netherlands Academy of Arts and Sciences stationed at Utrecht University. He was a Benjamin Peirce Assistant Professor at Harvard University from 1995 to 1996. He was a professor o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oberwolfach
Oberwolfach () is a town in the district of Ortenau (district), Ortenau in Baden-Württemberg, Germany. It is the site of the Oberwolfach Research Institute for Mathematics, or Mathematisches Forschungsinstitut Oberwolfach. Geography Geographical situation The town of Oberwolfach lies between 270 and 948 meters above sea level in the central Schwarzwald (Black Forest) on the river Wolf (Fluss), Wolf, a tributary of the Kinzig (Rhine), Kinzig. Neighbouring localities The district is neighboured by Bad Peterstal-Griesbach to the north, Bad Rippoldsau-Schapbach in Freudenstadt (district), Landkreis Freudenstadt to the east, by the towns of Wolfach and Hausach to the south, and by Oberharmersbach to the west. Demographics Population development: References External links Gemeinde Oberwolfach: Official Homepage (in German) [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
EMS Prize
The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current president is Jan Philip Solovej, professor at the Department of Mathematics at the University of Copenhagen. Goals The Society seeks to serve all kinds of mathematicians in universities, research institutes and other forms of higher education. Its aims are to #Promote mathematical research, both pure and applied, #Assist and advise on problems of mathematical education, #Concern itself with the broader relations of mathematics to society, #Foster interaction between mathematicians of different countries, #Establish a sense of identity amongst European mathematicians, #Represent the mathematical community in supra-national institutions. The EMS is itself an Affiliate Member of the International Mathematical Union and an Associate Member ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Congress Of Mathematicians
The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics. It meets once every four years, hosted by the International Mathematical Union (IMU). The Fields Medals, the IMU Abacus Medal (known before 2022 as the Nevanlinna Prize), the Carl Friedrich Gauss Prize, Gauss Prize, and the Chern Medal are awarded during the congress's opening ceremony. Each congress is memorialized by a printed set of Proceedings recording academic papers based on invited talks intended to be relevant to current topics of general interest. Being List of International Congresses of Mathematicians Plenary and Invited Speakers, invited to talk at the ICM has been called "the equivalent ... of an induction to a hall of fame". History German mathematicians Felix Klein and Georg Cantor are credited with putting forward the idea of an international congress of mathematicians in the 1890s.A. John Coleman"Mathematics without borders": a book review. ''CMS Notes'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Stack
In mathematics, an algebraic stack is a vast generalization of algebraic spaces, or schemes, which are foundational for studying moduli theory. Many moduli spaces are constructed using techniques specific to algebraic stacks, such as Artin's representability theorem, which is used to construct the moduli space of pointed algebraic curves \mathcal_ and the moduli stack of elliptic curves. Originally, they were introduced by Alexander Grothendieck to keep track of automorphisms on moduli spaces, a technique which allows for treating these moduli spaces as if their underlying schemes or algebraic spaces are smooth. After Grothendieck developed the general theory of descent, and Giraud the general theory of stacks, the notion of algebraic stacks was defined by Michael Artin. Definition Motivation One of the motivating examples of an algebraic stack is to consider a groupoid scheme (R,U,s,t,m) over a fixed scheme S. For example, if R = \mu_n\times_S\mathbb^n_S (where \mu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Characteristic (algebra)
In mathematics, the characteristic of a ring , often denoted , is defined to be the smallest positive number of copies of the ring's multiplicative identity () that will sum to the additive identity (). If no such number exists, the ring is said to have characteristic zero. That is, is the smallest positive number such that: : \underbrace_ = 0 if such a number exists, and otherwise. Motivation The special definition of the characteristic zero is motivated by the equivalent definitions characterized in the next section, where the characteristic zero is not required to be considered separately. The characteristic may also be taken to be the exponent of the ring's additive group, that is, the smallest positive integer such that: : \underbrace_ = 0 for every element of the ring (again, if exists; otherwise zero). This definition applies in the more general class of rngs (see '); for (unital) rings the two definitions are equivalent due to their distributive law. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Resolution Of Singularities
In algebraic geometry, the problem of resolution of singularities asks whether every algebraic variety ''V'' has a resolution, which is a non-singular variety ''W'' with a Proper morphism, proper birational map ''W''→''V''. For varieties over fields of characteristic 0, this was proved by Heisuke Hironaka in 1964; while for varieties of dimension at least 4 over fields of characteristic ''p'', it is an open problem. Definitions Originally the problem of resolution of singularities was to find a nonsingular model for the function field of a variety ''X'', in other words a complete variety, complete non-singular variety ''X′'' with the same function field. In practice it is more convenient to ask for a different condition as follows: a variety ''X'' has a resolution of singularities if we can find a non-singular variety ''X′'' and a Proper morphism, proper birational map from ''X′'' to ''X''. The condition that the map is proper is needed to exclude trivia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dan Abramovich
Dan Abramovich (; born March 12, 1963) is an Israeli-American mathematician working in the fields of algebraic geometry and arithmetic geometry. As of 2019, he holds the title of L. Herbert Ballou University Professor at Brown University, and he is an Elected Fellow of the American Mathematical Society. Education Abramovich received a bachelor's degree at Tel Aviv University in 1987 and completed a doctorate at Harvard University in 1991 under Joe Harris (''Subvarieties of abelian varieties and of Jacobians of curves''). From 1991 to 1994 he was C. L. E. Moore instructor at the Massachusetts Institute of Technology. Thereafter he held faculty positions at Boston University from 1994 to 1999 and since 2003 has been Professor at Brown University. Career Among other topics, he has dealt with birational geometry, the resolution of singularities, subvarieties of abelian varieties, limits for the torsion of elliptic curves, rational and integer points on algebraic v ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fedor Bogomolov
Fedor Alekseyevich Bogomolov (born 26 September 1946) (Фёдор Алексеевич Богомолов) is a Russian and American mathematician, known for his research in algebraic geometry and number theory. Bogomolov worked at the Steklov Institute in Moscow before he became a professor at the Courant Institute in New York. He is most famous for his pioneering work on hyperkähler manifolds. Born in Moscow, Bogomolov graduated from Moscow State University, Faculty of Mechanics and Mathematics, and earned his doctorate (''"candidate degree"'') in 1973, at the Steklov Institute. His doctoral advisor was Sergei Novikov. Geometry of Kähler manifolds Bogomolov's Ph.D. thesis was entitled ''Compact Kähler varieties''. In his early papers Bogomolov studied the manifolds which were later called Calabi–Yau and hyperkähler. He proved a decomposition theorem, used for the classification of manifolds with trivial canonical class. It has been re-proven using the Calabi–Yau th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Utrecht University
Utrecht University (UU; , formerly ''Rijksuniversiteit Utrecht'') is a public university, public research university in Utrecht, Netherlands. Established , it is one of the oldest universities in the Netherlands. In 2023, it had an enrollment of 39,769 students, and employed 8,929 faculty members and staff. More than 400 PhD degrees were awarded and 7,765 scientific articles were published. The university's 2023 budget was €2.8 billion, consisting of €1.157 billion for the university (income from work commissioned by third parties is 319 million euros) and €1.643 billion for the University Medical Center Utrecht. The university's interdisciplinary research targets life sciences, pathways to sustainability, dynamics of youth, and institutions for open societies. Utrecht University is led by the University Board, consisting of Wilco Hazeleger (Rector Magnificus), Anton Pijpers (chair), Margot van der Starre (Vice Chair) and Niels Vreeswijk (Student Assessor). Close ties are h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Netherlands Academy Of Arts And Sciences
The Royal Netherlands Academy of Arts and Sciences (, KNAW) is an organization dedicated to the advancement of science and literature in the Netherlands. The academy is housed in the Trippenhuis in Amsterdam. In addition to various advisory and administrative functions it operates a number of research institutes and awards many prizes, including the Lorentz Medal in theoretical physics, the Dr Hendrik Muller Prize for Behavioural and Social Science and the Heineken Prizes. Main functions The academy advises the Dutch government on scientific matters. While its advice often pertains to genuine scientific concerns, it also counsels the government on such topics as policy on careers for researchers or the Netherlands' contribution to major international projects. The academy offers solicited and unsolicited advice to parliament, ministries, universities and research institutes, funding agencies and international organizations. * Advising the government on matters related to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bielefeld University
Bielefeld University () is a public university in Bielefeld, Germany. Founded in 1969, it is one of the country's newer universities, and considers itself a "reform" university, following a different style of organization and teaching than the established universities. In particular, the university aims to "re-establish the unity between research and teaching", and so all its faculty teach courses in their area of research. The university also stresses a focus on interdisciplinary research, helped by the architecture, which encloses all faculties in one great structure. It is among the first of the German universities to switch some faculties (e.g. biology) to Bachelor's degree, bachelor's/master's degrees as part of the Bologna process. Bielefeld University has started an extensive multi-phase modernisation project, which is to be completed by 2025. A total investment of more than 1 billion euros has been planned for this undertaking. Campus The university is located in th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Hague
The Hague ( ) is the capital city of the South Holland province of the Netherlands. With a population of over half a million, it is the third-largest city in the Netherlands. Situated on the west coast facing the North Sea, The Hague is the country's administrative centre and its seat of government, and has been described as the country's ''de facto'' capital since the time of the Dutch Republic, while Amsterdam is the official capital of the Netherlands. The Hague is the core municipality of the COROP, Greater The Hague urban area containing over 800,000 residents, and is also part of the Rotterdam–The Hague metropolitan area, which, with a population of approximately 2.6 million, is the largest metropolitan area of the Netherlands. The city is also part of the Randstad region, one of the largest conurbations in Europe. The Hague is the seat of the Cabinet of the Netherlands, Cabinet, the States General of the Netherlands, States General, the Supreme Court of the Neth ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
