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Harald Helfgott
Harald Andrés Helfgott (born 25 November 1977) is a Peruvian mathematician working in number theory. Helfgott is a researcher ('' directeur de recherche'') at the CNRS at the Institut Mathématique de Jussieu, Paris. Early life and education Helfgott was born on 25 November 1977 in Lima, Peru. He graduated from Brandeis University in 1998 ( BA, summa cum laude). He received his Ph.D. from Princeton University in 2003 under the direction of Henryk Iwaniec and Peter Sarnak, with the thesis ''Root numbers and the parity problem''. Career Helfgott was a post-doctoral Gibbs Assistant Professor at Yale University from 2003 to 2004. He was then a post-doctoral fellow at CRM–ISM–Université de Montréal from 2004 to 2006. Helfgott was a Lecturer, Senior Lecturer, and then Reader at the University of Bristol from 2006 to 2011. He has been a researcher at the CNRS since 2010, initially as a ''chargé de recherche première classe'' at the École normale supérieure before becomin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Pure And Applied Mathematics
The Institute for Pure and Applied Mathematics (IPAM) is an American mathematics institute funded by the National Science Foundation. The initial funding for the institute was approved in May 1999 and it was inaugurated in August, 2000. IPAM is located on the UCLA campus, in close proximity to UCLA's Department of Mathematics. The building currently housing the institute was designed in 1973 by world-renowned Pritzker Prize-winning architect Frank Gehry. Mission The mission of the institute is to make connections between a broad spectrum of mathematicians and scientists, to launch new collaborations, to better inform mathematicians and scientists about interdisciplinary problems, and to broaden the range of applications in which mathematics is used. IPAM seeks to bring the full range of mathematical techniques to bear on the great scientific challenges of our time, to stimulate exciting new mathematics via new problems motivated by other sciences, and to train the people who ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Summa Cum Laude
Latin honors are a system of Latin phrases used in some colleges and universities to indicate the level of distinction with which an academic degree has been earned. The system is primarily used in the United States. It is also used in some Southeastern Asian countries with European colonial history, such as Indonesia and the Philippines, although sometimes translations of these phrases are used instead of the Latin originals. The honors distinction should not be confused with the honors degrees offered in some countries, or with honorary degrees. The system usually has three levels of honor: ''cum laude'', ''magna cum laude'', and ''summa cum laude''. Generally, a college or university's regulations set out definite criteria a student must meet to obtain a given honor. For example, the student might be required to achieve a specific grade point average, submit an honors thesis for evaluation, be part of an honors program, or graduate early. Each school sets its own standards. S ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after the society's first president), at 57–5 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Group Theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups. The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field (mathematics), fields, and vector spaces, can all be seen as groups endowed with additional operation (mathematics), operations and axioms. Groups recur throughout mathematics, and the methods of group theory have influenced many parts of algebra. Linear algebraic groups and Lie groups are two branches of group theory that have experienced advances and have become subject areas in their own right. Various physical systems, such as crystals and the hydrogen atom, and Standard Model, three of the four known fundamental forces in the universe, may be modelled by symmetry groups. Thus group theory and the closely related representation theory have many important applications in physics, chemistry, and materials science. Group theory is also ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Diophantine Geometry
In mathematics, Diophantine geometry is the study of Diophantine equations by means of powerful methods in algebraic geometry. By the 20th century it became clear for some mathematicians that methods of algebraic geometry are ideal tools to study these equations. Four theorems in Diophantine geometry which are of fundamental importance include: * Mordell–Weil Theorem * Roth's Theorem * Siegel's Theorem * Faltings's Theorem Background Serge Lang published a book ''Diophantine Geometry'' in the area in 1962, and by this book he coined the term "Diophantine Geometry". The traditional arrangement of material on Diophantine equations was by degree and number of variables, as in Mordell's ''Diophantine Equations'' (1969). Mordell's book starts with a remark on homogeneous equations ''f'' = 0 over the rational field, attributed to C. F. Gauss, that non-zero solutions in integers (even primitive lattice points) exist if non-zero rational solutions do, and notes a caveat of L. E. D ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
László Babai
László "Laci" Babai (born July 20, 1950, in Budapest) a fellow of the American Academy of Arts and Sciences, and won the Knuth Prize. Babai was an invited speaker at the International Congresses of Mathematicians in Kyoto (1990), Zürich (1994, plenary talk), and Rio de Janeiro Rio de Janeiro ( , , ; literally 'River of January'), or simply Rio, is the capital of the state of the same name, Brazil's third-most populous state, and the second-most populous city in Brazil, after São Paulo. Listed by the GaWC as a b ... (2018). Sources Professor László Babai's algorithm is next big step in conquering isomorphism in graphs// Published on Nov 20, 2015 Division of the Physical Sciences / The University of Chicago Mathematician claims breakthrough in complexity theory by Adrian Cho 10 November 2015 17:45 // Posted iMath Science AAAS News A Quasipolynomial Time Algorithm for Graph Isomorphism: The Details+ Background on Graph Isomorphism + The Main Result // Math ∩ P ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Isomorphism Problem
The graph isomorphism problem is the computational problem of determining whether two finite graphs are isomorphic. The problem is not known to be solvable in polynomial time nor to be NP-complete, and therefore may be in the computational complexity class NP-intermediate. It is known that the graph isomorphism problem is in the low hierarchy of class NP, which implies that it is not NP-complete unless the polynomial time hierarchy collapses to its second level. At the same time, isomorphism for many special classes of graphs can be solved in polynomial time, and in practice graph isomorphism can often be solved efficiently. This problem is a special case of the subgraph isomorphism problem, which asks whether a given graph ''G'' contains a subgraph that is isomorphic to another given graph ''H''; this problem is known to be NP-complete. It is also known to be a special case of the non-abelian hidden subgroup problem over the symmetric group. In the area of image recognition ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Time Complexity
In computer science, the time complexity is the computational complexity that describes the amount of computer time it takes to run an algorithm. Time complexity is commonly estimated by counting the number of elementary operations performed by the algorithm, supposing that each elementary operation takes a fixed amount of time to perform. Thus, the amount of time taken and the number of elementary operations performed by the algorithm are taken to be related by a constant factor. Since an algorithm's running time may vary among different inputs of the same size, one commonly considers the worst-case time complexity, which is the maximum amount of time required for inputs of a given size. Less common, and usually specified explicitly, is the average-case complexity, which is the average of the time taken on inputs of a given size (this makes sense because there are only a finite number of possible inputs of a given size). In both cases, the time complexity is generally expresse ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Goldbach's Weak Conjecture
In number theory, Goldbach's weak conjecture, also known as the odd Goldbach conjecture, the ternary Goldbach problem, or the 3-primes problem, states that : Every odd number greater than 5 can be expressed as the sum of three primes. (A prime may be used more than once in the same sum.) This conjecture is called "weak" because if Goldbach's ''strong'' conjecture (concerning sums of two primes) is proven, then this would also be true. For if every even number greater than 4 is the sum of two odd primes, adding 3 to each even number greater than 4 will produce the odd numbers greater than 7 (and 7 itself is equal to 2+2+3). In 2013, Harald Helfgott released a proof of Goldbach's weak conjecture. As of 2018, the proof is widely accepted in the mathematics community, but it has not yet been published in a peer-reviewed journal. The proof was accepted for publication in the '' Annals of Mathematics Studies'' series in 2015, and has been undergoing further review and revision since; ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Von Humboldt Professor
The Alexander von Humboldt Professorship is an academic prize named after Alexander von Humboldt and awarded by the Alexander von Humboldt Foundation since 2008. The prize is intended to attract internationally leading scientists from abroad to Germany so that they can carry out top-level research there and strengthen Germany as a research location. The prize includes a permanent full professorship at the hosting university, plus 5 million euros for experimentally working scientists or 3.5 million euros for theoretically working scientists (in addition, the university is expected to provide matching funds). This makes it the most highly endowed research prize in Germany, and possibly world-wide. A maximum of ten Alexander von Humboldt Professorships can be awarded every year to researchers of all disciplines. From 2020 to 2024, an additional six Humboldt Professorships in the field of artificial intelligence can be awarded each year. Nominations are made by German universi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
École Normale Supérieure (Paris)
The ''École normale supérieure - PSL'' (; also known as ''ENS'', ''Normale sup, ''Ulm'' or ''ENS Paris'') is a ''grande école'' university in Paris, France. It is one of the constituent members of Paris Sciences et Lettres University (PSL). Originally conceived during the French Revolution, the school was founded in 1794 to provide homogeneous training of high-school teachers in France but it later closed. The school was subsequently reestablished by Napoleon I as ''pensionnat normal'' from 1808 to 1822, before being recreated in 1826 and taking the name of ''École normale'' in 1830. When institutes for primary teachers training called é''coles normales'' were created in 1845, the word ''supérieure'' (meaning upper) was added to form the current name. It has since developed into an institution which has become a platform for French students to pursue careers in government and academia. The ENS has a highly competitive selection process consisting of written and oral exami ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Bristol
, mottoeng = earningpromotes one's innate power (from Horace, ''Ode 4.4'') , established = 1595 – Merchant Venturers School1876 – University College, Bristol1909 – received royal charter , type = Public red brick research university , endowment = £91.3 million (2021) , budget = £752.0 million (2020–21) , chancellor = Paul Nurse , vice_chancellor = Professor Evelyn Welch , head_label = Visitor , head = Rt Hon. Penny Mordaunt MP , academic_staff = 3,385 (2020) , students = () , undergrad = () , postgrad = () , city = Bristol , country = England , coor = , campus = Urban , free_label = Students' Union , free = University of Bristol Union , colours = ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
