who is the great  mathematician of 21st century?
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I hope to be... I'm not joking, no
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Yes, research a great mathematician and write a report.  What's the question?\n\nPerhaps you are looking for some mathematician suggestions?  How about Archimedes, Euler, Newton, Descartes, Pythagoras, or Liebnitz?   I'm sure others have some suggestions as well.
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William Gates III \n\nFor the  whole list:\nhttp://www.forbes.com/lists/2006/10/Rank_1.html
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In late 2002 and 2003 Grigori Perelman of the Steklov Institute of Mathematics, Saint Petersburg posted 3 papers on the arXiv:[7]\n\n    * The entropy formula for the Ricci flow and its geometric applications, 2002\n    * Ricci flow with surgery on three-manifolds, 2003\n    * Finite extinction time for the solutions to the Ricci flow on certain three-manifolds, 2003\n\nIn these papers he sketched a proof of the Poincaré conjecture and a more general conjecture, Thurston's geometrization conjecture, completing the Ricci flow program outlined earlier by Richard Hamilton.\n\nFrom May to July 2006, several groups presented papers that filled in the details of Perelman's proof of the Poincaré conjecture, as follows:\n\n    * Bruce Kleiner and John Lott, Notes on Perelman's Papers (May 2006) filled in the details of Perelman's proof of the geometrization conjecture.\n    * Zhu Xiping and Cao Huaidong, A Complete Proof of the Poincaré and Geometrization Conjectures - Application of the Hamilton-Perelman theory of the Ricci flow (Asian Journal of Mathematics Volume 10, Number 2, p. 165-492 (June 2006)).\n    * John Morgan and Gang Tian Ricci Flow and the Poincaré Conjecture (July 2006) gave a detailed proof of just the Poincaré Conjecture (which is somewhat easier than the full geometrization conjecture).\n\nOn August 22, 2006, the ICM awarded Perelman the Fields Medal for his work on the conjecture, but Perelman refused the medal.[8][9][10] John Morgan spoke at the ICM on the Poincaré conjecture on August 24, 2006, declaring that "in 2003, Perelman solved the Poincaré Conjecture."[11]\n\nThe August 2006 issue of The New Yorker contains an article, titled "Manifold Destiny", on some of the issues surrounding Perelman's work.
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It is difficult to say who was the greatest\nmathematician of all times but many believe there\nis close tie between the following  3.\n\nCarl Friedrich Gauss (1777-1855) \n\nLeonhard Euler (1707-1783)\n\nGeorg Friedrich Bernhard Riemann (1826-1866)
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A great one would be Euclid, a Greek geometer who wrote the "Elements", the world's most definitive text on geometry. The book synthesized earlier knowledge about geometry, and was used for centuries in western Europe as a geometry textbook. \n\nhttp://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Euclid.html\nhttp://scienceworld.wolfram.com/biography/Euclid.html\nhttp://mathworld.wolfram.com/Elements.html
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The Computer for the 21st Century\nMark Weiser
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1)Isaac Newton: The greatest genius that ever lived.  His work opened the natural world to study, and answered almost all of the major questions of his day.\n\n2) Aristotle: The most influential thinker until modern times, who established observation and logic and central principles in understanding the universe.\n\nThen, in no particular order:\n\nPlank, Einstein: physics-Plank established quantum physics (after a lot of resistance) and Einstein relativity.  Between the two, they brought us into the modern understanding of the universe-we have not really made discoveries of this significance since.\n\nMendel, Darwin: biology- The understanding of evolution, which is the origin of all the species (Darwin) and of the process of genetics (Mendel).\n\nWegener: geology: Plate tectonic theory-from him we understand a great deal of how the Earth is structured.\n\nFreud: psychology:  Almost none of his theories are believed today, but the very idea that there was a subconcious, that the mind was amenable to analysis, was absolutely revolutionary.  His work probably has more effect on the way the average person thinks about themselves and the world than any other on this list.\n\nLavoisier, Mendeleev: chemistry: Lavoisier overturned all of the thought of the day on chemistry with the establishment of conservation of mass.  Mendeleev constructed the periodic table of the elements, and explained property relationships-all of chemistry is built on this.
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Stephen Hawking - see http://www.washington.edu/doit/Press/hawking3.html\n\nand \n\nhttp://en.wikipedia.org/wiki/Stephen_hawkin\n\nI hope this helps - Good Luck!!!
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Euclid.\nGreek geometer who wrote the Elements , the world's most definitive text on geometry. The book synthesized earlier knowledge about geometry, and was used for centuries in western Europe as a geometry textbook. The text began with definitions, postulates ("Euclid's postulates "), and common opinions, then proceeded to obtain results by rigorous geometric proof. Euclid also proved what is generally known as Euclid's second theorem:  the number of primes  is infinite.  The beautiful proof Euclid gave of this theorem is still a gem and is generally acknowledged to be one of the "classic" proofs of all times in terms of its conciseness and clarity. In the Elements , Euclid used the method of exhaustion and reductio ad absurdum. He also discussed the so-called Euclidean algorithm  for finding the greatest common divisor  of two numbers, and is credited with the well-known proof of the Pythagorean theorem. \nNeither the year nor place of his birth have been established, nor the circumstances of his death, although he is known to have lived and worked in Alexandria for much of his life. In addition, no bust which can be verified to be his likeness is known (Tietze 1965, p. 8).
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hard question to answer.  What kind of physicist?  Because Stephen Hawking is undoubtably a great and popular theorectical physicist but theres others who have made great contributions like Edward Witten, who in fact has been dubbed by some as "the greatest living physicist."  So there are great physicists each with great contributions... It's all about perspective
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Lots of places, actually.  Algebraic number theory, Galois theory, linear algebra, discrete geometry, and other fields have shown tremendous usefulness in producing hard-to-break cryptography and digital signature schemes.\n\nAlgebraic geometry, abstract algebra, some real analysis, discrete geometry, linear algebra, Galois theory, and other fields are integral in the design of error correcting codes used currently in CDs, DVDs, satellite communications, your telephone and broadband lines, and many other places where reliable communication is needed.\n\nComputer science (I hope the applications of this are obvious!) essentially grew out of mathematical logic, with lots of influence from universal algebra and category theory.\n\nArtificial intelligence research also borrows heavily from several mathematical fields, most especially mathematical logic.  Though the true "thinking computer" is still science fiction, some of the results of this research is already used in word processors (including the dreaded "Clippy"!!!! but more useful places too), voice recognition software, automatic optimization algorithms for electronic circuit designs,  and other software, and don't forget the Roomba!\n\nAbstract analysis has solved many problems in fluid dynamics, with applications to aerodynamic design, electronic circuit design, Internet traffic management, and even road system design!  (Cars on the road behave a lot like fluid in pipes).\n\nLie algebras, tensor algebras, manifold theory, algebraic topology, systems theory, and several other abstract mathematical topics come into play with the General Theory of Relativity (GPS satellites take into account the General Theory of Relativity for their calculations--or else they would give badly inaccurate results!  Not only their motion, but the Earth's gravity has an effect on measuring time, which is essential to the process of geolocation) as well as quantum theory (which gave us the transistor, the laser, superconductors, and other current technology....and far more future technology) and very importantly, at least from an intellectual viewpoint, much progress on "how the universe works" fundamentally (we don't know for sure yet!).
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Of all time. There is so much choice, but here are 5 and why:\n\n1. Isaac Newton - introduced mathematical formalism to physics and created calculus (he called it fluxions)\n2. James Clerk Maxwell -  gave the first unified explanation of electromagnetism\n3. Ludwig Boltzmann - gave the first mathematical interpretation of the profoundly important second law of thermodynamics, and derived the Botlzmann distribution for gases\n4. Max Planck - founded quantum mechanics\n5. Richard Feynman - developed the first way to handle the fiendish equations of sub nuclear particle physics,  and thereby made quark theory possible\n\nOf the 5 I would pick Feynman as my number 1 - no other physicist has had such profound intuition as to how the universe works. You can still buy his popular science books.
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Don't know yet, but lots of wild theories and mathematical approaches being tried (some, via\nhttp://myweb2.search.yahoo.com/search?p=4%208%2015%2016%2023%2042):\n\nhttp://www.d.kth.se/~dicander/lost.html\n\nhttp://www.4815162342.com/forum/viewforum.php?f=3
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Rudolph Virchow?\n\nhttp://scienceworld.wolfram.com/biography/Virchow.html\nhttp://en.wikipedia.org/wiki/Rudolf_Virchow
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Yes:)\n\nIndia 2020: A Vision for the New Millennium is a book, written by Dr. A P J Abdul Kalam, the present President of India and Y. S. Rajan.\n\nThe book examines in depth the weakness and the strength of India, as a nation, and offers a vision of how India can emerge to be among the world's first four economic powers by 2020. Armed with a powerful opening, It is yet another example of Abdul Kalam's dedication and vision for India. The Book is dedicated to a young girl whom Kalam met and asked as "what is your dream" for which the young girl replied "I want to live in a developed India".\n\nThe book's 300 pages are divided into 12 chapters:\n\nCan India Become a Developed Country? \nWhat Other Countries Envision for Themselves \nEvolution of Technology Vision 2020 \nFood, Agriculture and Processing \nMaterials and the Future \nChemical Industries and Our Biological Wealth \nManufacturing for the Future \nServices As People's Wealth \nStrategies Industries \nHealth Care for All \nThe Enabling Infrastructure \nRealizing the Vision \n\n\n"A developed India by 2020, or even earlier, is not a dream. It need not be a mere vision in the minds of many Indians. It is a mission we can all take up - and succeed." - A P J Abdul Kalam.\n\n\nNote: Well we all hope...when that day arrives soon
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Aryabhatta.... he invented "0"... without which we would not know maths or physics as it is today... and oh yeah... the computers would not be there without the 0s and 1s.