Michael D. Fried: razlika između inačica
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nova stranica: '''Michael David Fried''' američki matematičar == Životopis == Michael David Fried, američki matematičar, najprije je diplomirao električno inženjerstvo i tri godi... |
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== Znanstveni rad ==
Friedov matematički interes
ISSN: 1869-1862 (electronic version) </ref>. Njegovi radovi često imaju i šire kulturološko značenje. Na primjer, u članku '''What Gauss told Riemann about Abel's Theorem''' ('''Što je Gauss rekao Riemannu o Abelovu teoremu''')<ref>http://www.math.uci.edu/~mfried/paplist-cov/Wh-Gauss-Tld-Riem-ab-Abel.pdf</ref> pokušava znanstveno rekonstruirati vezu trojice vodećih matematičara 19. stoljeća [[Carl Friedrich Gauss|Gaussa]], [[Niels Henrik Abel|Abela]] i [[Bernhard Riemann|Riemanna]].▼
U prvoj prevladavaju članci u kojima je uveo metodu rješavanja diofantskih problema zasnovanu na '''Lemi o ciklusima grananja''' i '''Hurwitzovim prostorima'''<ref>M. Fried, Galois groups and complex multiplication, Trans. Amer. Math. Soc. 235 (1978), 141–163, ISSN: 1088-6850(online) ISSN: 0002-9947(print) </ref> <ref>M.D. Fried and H. Völklein, The inverse Galois problem and rational points on moduli spaces, Math. Annalen 290 (1991), 771–800, ISSN: 0025-5831 (Print) 1432-1807 (Online) </ref><ref> M.D. Fried and H.Völklein, The embedding problem over an Hilbertian-PAC field, Annals of Math 135 (1992), 469–481, ISSN: 0003-486X </ref> <ref>Michael D. Fried, Alternating groups and moduli space lifting Invariants, Israel
J. Math. 179 (2010) 57–125 (DOI 10.1007/s11856-010-0073-2)</ref>,
a u drugoj je glavna tema [[Hilbertov teorem o ireducibilnosti]]<ref>Michael Fried, On Hilbert's irreducibility theorem, Journal of Number Theory 6 (1974), 211–232, ISSN 0022-314X </ref>.
Te su dvije skupine pod zajedničkim naslovom '''Aritmetički natkrivači; Regularni inverzni Galoisov problem '''.
Treću skupinu čine članci o diofantskim problemima nad [[konačno polje|konačnim poljima]], posebice rješenja [[Schurov problem|Schurova]] i [[Davenportov problem|Davenportova problema]] <ref>M. Fried, On a Conjecture of Schur, Michigan Math. J. Vol. 17, Issue 1 (1970), 41–55, ISSN: 0026-2285 (print), 1945-2365 (electronic) </ref> <ref>Michael Fried, The field of definition of function fields and a problem in the reducibility of polynomials in two variables, Illinois Journal of Math. 17, (1973), 128–146,(ISSN 0019-2082)</ref>
<ref>M. Fried and G. Sacerdote, Solving diophantine problems over all residue classes of a number fields and all finite fields, Annals of Mathematics, Second Series, Vol. 104, No. 2 (Sep., 1976), pp. 203-233, DOI: 10.2307/1971045</ref> <ref>R. Guralnick, P. Müller and J. Saxl, The rational function analogue of a question of Schur and exceptionality of permutations representations, Memoirs of the AMS 162 773 (2003), ISBN 0065-9266 </ref>.<ref>Michael D. Fried, The place of exceptional covers among all diophantine relations, Finite fields and their applications, Vol. 11 Issue 3, August 2005, Pages 367–433, doi:10.1016/j.ffa.2005.06.005</ref>.
U četvrtoj su skupini radovi o '''modularnim tornjevima''' (tornjevi Hurwitzovih prostora koje je uveo Fried, a koji [[poopćenje|poopćuju]] tornjeve [[Modularna krivulja|modularnih krivulja]]) <ref>Michael D. Fried, Introduction to Modular Towers: Generalizing dihedral group–modular curve connections, Recent Developments in the Inverse Galois Problem, Cont. Math., Proceedings of AMS-NSF Summer Conference 1994, Seattle 186 (1995), 111–171, ISBN: 978-0-8218-0299-1 (print), ISBN: 978-0-8218-7777-7 (electronic)</ref><ref>Michael D. Fried and Yaacov Kopeliovich, Applying Modular Towers to the Inverse Galois Problem, Geometric Galois Actions II Dessins d'Enfants, Mapping Class Groups and Moduli, London Mathematical Society Lecture Note series 243, (1997) 172–197, ISBN 978-0-521-59641-1 </ref><ref> Paul Bailey and Michael D. Fried, Hurwitz monodromy, spin separation and higher levels of a Modular Tower, Arithmetic fundamental groups and noncommutative algebra, PSPUM vol. 70 of AMS (2002), 79–220, ISBN: 978-0-8218-2036-0 (Print), ISBN: 978-0-8218-9375-3 (electronic)</ref><ref> Michael D. Fried, The Main Conjecture of Modular Towers and its higher rank generalization, in Groupes de Galois arithmétique et différentiels (Luminy 2004; eds. D. Bertrand and P. Debes), Sem. et Congres, Vol. 13 (2006), 165-233, ISBN 978-2-85629-222-8:</ref>. [[Sinteza|Sintezu]] i presjek svog matematičkog rada iznio je u <ref>M. D. Fried, Variables separated equations: Strikingly different roles for the Branch Cycle Lemma and the Finite Simple Group Classification, Science China Mathematics, vol. 55, 1–72, ISSN: 1674-7283 (print version) ISSN: 1869-1862 (electronic version) </ref>.
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== Stručni rad ==
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