
curran wogtman

curran wogtman (janm 13 julaai, 1949 koo pitsburg, california mein) ack americi ganitshastri hain joe mukhya roop seey jyaamitiya samooh siddhant key kshetra mein kaam curr rahey hain. vaha 1986 key ack pepper mein maark culler key saath pesh karane key liye jaani jaati haye, ack vastu jise abb culler-wogtman baahari antariksh key roop mein jaanaa jaataa haye. baahari antariksh ack reeman satah key teachmular sthaan kaa ack mukt samooh analogue haye aur vishesh roop seey "aine" generator, out ("aff" aine ") parr mukt samooh key baahari automorphism key samooh key adhyayan mein upayogi haye. wogtman cornell vishvavidyalaya aur vaarvik vishvavidyalaya mein ganit key professor hain.
jeevani sambandhi jaankaari.
wogtman koo california vishvavidyalaya, berkley mein uchch vidyalaya key chhatron key liye ack rashtriya vigyaan foundation grishmakaaleen karyakram dwara ganit koo aage badhaane key liye prerit kiya gayaa thaa.
usey bee milaa.aeye. 1971 mein california vishvavidyalaya, berkley seey. wogtman ney taba ganit mein phd praapt kii, 1977 mein california vishvavidyalaya, berkley seey bhee. unake phd salaahkaar johnn wagner they aur unaki doctorate thesis beejganitiya key-theory parr thee.
isake baad unhone mishigan vishvavidyalaya, brandes vishvavidyalaya aur kolambiya vishvavidyalaya mein padon parr kaary kiya. wogtman 1984 seey cornell vishvavidyalaya mein ack sankaay sadasya rahee hain, aur vaha 1994 mein cornell mein ack poorna professor baneen. sitambar 2013 mein, vaha vaarvik vishvavidyalaya mein bhee shamil huin. unhone ganitshastri johnn smilly seey shaadi kii haye. dampati 2013 mein ingland chaley gaye aur kenilworth mein buss gaye. vaha vartamaan mein vaarvik mein ganit kii professor hain, aur cornell mein ganit emeritus kii goldwyn smith professor hain.
wogtman americi ganitiya samaaj (2003-2006) key upaadhyaksh rahey hain. unhein farwari 2008-janwari 2018 kii avadhi key liye americi ganitiya samaaj key nyasi mandal key sadasya key roop mein chunaa gayaa haye.
wogtman "beejganitiya aur jyaamitiya topology" patrika key poorv sampadakiya board sadasya (2006-2016) hain aur "bulletin off dha american mathematical society" key poorv sahayogi sampaadak hain. 
vaha vartamaan mein "journal off dha american mathematical society" kii ack sahayogi sampaadak hain, ack sampadakiya board sadasya "jyaamiti aur topology monograph" pustak shrinkhala, aur "edinberg ganitiya samaaj kii kaaryavaahi" key liye ack paramarsh sampaadak hain.
vaha arxive salaahkaar board kii sadasya bhee hain.
1986 seey wogtman "cornell topology festival" naamak vaarshik sammelan key saha-aayojak rahey hain joe aamtaur parr cornell vishvavidyalaya mein hotaa haye.
puraskar, sammaan aur anya maanyataaen.
wogtman ney agast 2006 mein spen key madrid mein antarrashtriya ganit congress mein ack aamantrit vyakhyan diyaa.
unhone janwari 2007 mein nyu orleans mein americi ganitiya samaaj kii vaarshik baithak mein "mukt samoohon, baahari antariksh aur usase aage key swachaalitata" sheershak seey 2007 kaa vaarshik aeye. doubleu. aim. nother vyakhyan diyaa.
jyaamitiya samooh siddhant; vishesh roop seey, ack mukt samooh key swachaalan samooh key adhyayan key liye.
juuna 2010 mein wogtman key janmadin key sammaan mein ack 'wogtmanfest' jyaamitiya samooh siddhant sammelan luminy, france mein aayojit kiya gayaa thaa.
2012 mein vaha americi ganitiya samaaj kii ack sadasya bunn gaeen. vaha 2020 mein shikshaavidon kii europia kii sadasya baneen. unhein 2023 mein americi kalaa aur vigyaan akadami key liye chunaa gayaa thaa.
wogtman koo 2014 mein royal society wolfson research merritt puraskar milaa. unhein 2014 mein humbolt foundation seey humbolt research puraskar bhee milaa.
unhein 2016 mein aim. aiss. aar. aaee. clay senior scholar aur 2016-2017 key liye simens professor naamit kiya gayaa thaa.
wogtman ney berlin mein 2016 kii europeeya ganit congress mein ack poorna bhaashan diyaa.
2018 mein unhone landan ganitiya samaaj kaa "jyaamitiya samooh siddhant mein unake gahan aur agrani kaam key liye, vishesh roop seey mukt samoohon key swachaalan samoohon key adhyayan key liye" polya puraskar jeetaa.
maee 2021 mein unhein shaahi samaaj kaa sadasya chunaa gayaa.
2022 mein unhein rashtriya vigyaan akadami (aine. aeye. aiss.) key liye chunaa gayaa thaa.
ganitiya yogdan.
wogtman kaa praarambhik kaary vibhinn kshetron mein dwighaat roopon seey judey orthogonal samoohon key samroopata sambandhi gunon seey sambandhit thaa.
wogtman kaa sabse mahatvapurna yogdan 1986 key ack pepper mein maark culler key saath aaya jise "graph aur mukt samoohon key automorphism kaa moduli" kahaa jaataa haye. kagaj ney ack vastu pesh kii jise culler-wogtman baahari antariksh key roop mein jaanaa jaane lagaa. baahari antariksh "xn", ack mukt samooh "f" n "seey judaa huaa haye, joe ack reeman satah key teachmooler sthaan kaa ack mukt samooh analogue haye. ack satah parr chihnit anuroop sanrachanaon (yaa, ack samkaksh model, atee-javic sanrachanaon mein) key bajaay, baahari antariksh key binduon koo aayatan-ack "chihnit metrick graph" dwara darshaaya jaataa haye. ack "chihnit metrick graph" mein "n" vritton key ack ways aur ack seemit judey hue graph "γ" key beach ack samroopata hoti haye, jisamen degree-ack aur degree-dou sheersh naheen hotey hain, jahaan "γ" ack aayatan-ack metrick sanrachana seey lais hotaa haye, yaani, "γ" key kinaaron parr sakaratmak vaastavik lambai kaa assignment taaki sabhi kinaaron kii lambai kaa yog ack key barabar hoe. xn" key binduon koo vaastavik pedon parr mukt aur asatat nyuntam samamit kriya "f" n "key roop mein bhee socha jaa sakata haye, jahaan bhagfal graph mein matra ack haye.
nirmaan dwara baahari antariksh "xn" ack seemit-ayami saral parisar haye joe praakritik kriya ("f" n ") seey lais haye joe thheek seey asantat haye aur isamen seemit saral sthirikaran haye. morse-saiddhaantik tarikon key madhyam seey praapt culler-wogtman 1986 pepper kaa mukhya parinam yeh thaa kii baahari antariksh "xn" sankara haye. iss prakaar bhagfal sthaan "xn"/out ("f" n ")" lagbhag "out (" f "n") key liye ack vargeekaran sthaan haye aur ise q parr ack vargeekaran sthaan key roop mein socha jaa sakata haye. isake alawa, baahar ("f" n ") koo vastutah marod-mukt honey key liye jaanaa jaataa haye, isaliye kissy bhee marod-mukt upsamooh" h "key liye (" f "n") "xn" parr "h" kii kriya asatat aur mukt haye, taaki "xn"/"h" "key liye ack vargeekaran sthaan hoe. inn karanon seey baahari antariksh key baare mein samroop aur samroop jaankaari praapt karane mein ack vishesh roop seey upayogi vastu haye ("f" n "). vishesh roop seey, culler aur wogtman ney saabit kiya kii out ("f" n ") mein aabhaasi samroopata ayam 2" n "−3 haye.
apane 1986 key pepper culler aur wogtman mein "xn" koo ack vishisht naam naheen diyaa gayaa haye. wogtman key anusaar, jatil "xn" key liye "baahari antariksh" shabd koo baad mein peater shallen dwara gadhaa gayaa thaa. baad key varshon mein baahari antariksh ("aff" aine ") key adhyayan mein ack kendriya vastu bunn gayaa. vishesh roop seey, baahari antariksh mein ack praakritik sankshepan haye, joe kii thurston key teachmaller sthaan key sampeedan key samaan haye, aur iss sampeedan parr baahar kii kaarravaai ("aff" aine ") kaa adhyayan karane seey mukt samoohon key swachaalan key gatishil gunon key baare mein dilchasp jaankaari milati haye.
wogtman key baad key adhikansh kaam baahari antariksh "xn", vishesh roop seey isake samroopata, samroopata aur samroopata sambandhi gunon aur baahar key liye sambandhit prashnon ("f" n ") key adhyayan seey sambandhit they. udaaharan key liye, hatcher aur wogtman ney out ("aff" aine ") aur auto (" aff "aine") key liye kaee samroopata sambandhi sthirata parinam praapt kiye.
connent key saath apane patron mein, wogtman ney kuchh anant-ayami jhooth algebra key samroopata aur baahar key samroopata ("aff" aine ") key beach adhikatam kontsevic dwara paae gaye sambandh kaa pataa lagaaya.
2001 kaa wogtman kaa ack pepper, luis bilera aur susan pee key saath sanyukt. holms ney jatijanya vrikshon key sthaan kaa adhyayan karane key liye jyaamitiya samooh siddhant aur billi (0) jyaamiti key vichaaron kaa upayog kiya, joe vibhinn prajaatiyon key beach sambhaavit vikaasvaadi sambandhon koo dikhaane vaale pedh hain. ganitiya jeev vigyaan mein sateek vikaasvaadi vrikshon kii pehchaan karna ack mahatvapurna buniyaadi samasya haye aur ack vishesh vikaasvaadi vriksh kitna sateek haye, iska anuman lagaane key liye achche matratmak upkaran bhee honey chaahiye. bilera, wogtman aur holms key kagaj ney dou vikaasvaadi pedon key beach antar koo nirdhaarit karane key liye ack vidhi kaa utpaadan kiya, joe unake beach kii doori koo prabhaavi dhang seey nirdhaarit kartaa haye. yeh tathya kii jatijanya vrikshon key sthaan mein "gair-sakaratmak vakr jyaamiti" haye, vishesh roop seey billi (0) sthaanon mein sabse chhote maargon yaa "bhooganit" kii vishishtata, inn parinamon kaa upayog vishvaas star kaa anuman lagaane key vyaavhaarik saankhyikiya gananaon key liye karane kii anumati detee haye kii vishesh vikaasvaadi vriksh kitna sateek haye. inn algorithm koo lagu karane vaalaa ack mukt software package vikasit kiya gayaa haye aur jeevvigyaani iska sakriya roop seey upayog karate hain.

