Marius Crainic

Marius Crainic
Crainic in 2007
Born (1973-02-03) February 3, 1973 (age 51)
Aiud, Romania
NationalityRomanian
Alma materBabeș-Bolyai University
Utrecht University
AwardsAndré Lichnerowicz Prize, 2008
De Bruijn prize, 2016
Scientific career
FieldsMathematics
InstitutionsUtrecht University
Thesis Cyclic cohomology and characteristic classes for foliations  (2000)
Doctoral advisorIeke Moerdijk
Websitewebspace.science.uu.nl/~crain101/

Marius Nicolae Crainic (February 3, 1973, Aiud) is a Romanian mathematician working in the Netherlands.

Education and career

Born in Aiud, Romania, Crainic obtained a bachelor's degree at Babeș-Bolyai University (Cluj-Napoca) in 1995. He then moved to the Netherlands and obtained a master's degree in 1996 at Nijmegen University. He received his Ph.D. in 2000 from Utrecht University under the supervision of Ieke Moerdijk. His Ph.D. thesis is titled "Cyclic cohomology and characteristic classes for foliations".[1]

He was a Miller Research Fellow[2] at the University of California, Berkeley from 2001 to 2002. He then returned to Utrecht University as a Fellow of the Royal Netherlands Academy of Arts and Sciences (KNAW). In 2007 he became an associate professor at Utrecht University, and since 2012 he is a full professor. In 2016 he was elected member of KNAW.[3]

In 2008 Crainic was awarded the André Lichnerowicz Prize in Poisson Geometry[4][5] and in 2016 he received the De Bruijn Prize.[6][7] In July 2020 he was an invited speaker to the 8th European congress of Mathematics,[8] which has been rescheduled to 2021 due to the COVID-19 pandemic.[9]

Research

Crainic's research interests lie in the field of differential geometry and its interactions with topology. His specialty is Poisson geometry[10][11][12][13][14][15] and modern aspects of Lie theory, with several contributions to foliation theory,[16][17] symplectic geometry,[18] Lie groupoids,[19][20][21][22] non-commutative geometry,[23] Lie pseudogroups[24] and the geometry of PDEs.[25]

Among his most well-known results are a solution to the long-standing problem of describing the obstructions to the integrability of Lie algebroids[26] and a new geometric proof of Conn's linearization theorem,[27] both written in collaboration with Rui Loja Fernandes, as well as the development of the theory of representations up to homotopy.[28][29]

He is the author of more than 30 research papers in peer-reviewed journals[30] and has supervised 10 PhD students as of 2020.[1]

References

  1. ^ a b Marius Crainic at the Mathematics Genealogy Project
  2. ^ "Miller Institute News" (PDF). Retrieved 2020-02-02.
  3. ^ "Crainic, Prof. dr. M.N. (Marius) — KNAW". www.knaw.nl. Archived from the original on 2020-05-17.
  4. ^ "Poisson Geometry Home Page". www.lpthe.jussieu.fr. Retrieved 2020-01-30.
  5. ^ "The André Lichneriwicz prize to Henrique Bursztyn and Marius Crainic". euro-math-soc.eu. Retrieved 2020-02-01.
  6. ^ "Mathematician Prof. Marius Crainic receives first De Bruijn Prize". Utrecht University. 2017-09-21. Retrieved 2020-01-30.
  7. ^ "Laudation for Marius Crainic" (PDF). Retrieved 2020-02-02.
  8. ^ "8th European Congress of Mathematics". 8th European Congress of Mathematics. Retrieved 2020-02-01.
  9. ^ "8th European Congress of Mathematics – 2020 rescheduled to June 2021". 8th European Congress of Mathematics. Retrieved 2020-10-12.
  10. ^ Crainic, Marius; Fernandes, Rui Loja (2004). "Integrability of Poisson Brackets". J. Differential Geom. 66 (1): 71–137. arXiv:math/0210152. doi:10.4310/jdg/1090415030.
  11. ^ Crainic, Marius; Mǎrcuţ, Ioan (2012). "A normal form theorem around symplectic leaves". J. Differential Geom. 92 (3): 417–461. arXiv:1009.2090. doi:10.4310/jdg/1354110196.
  12. ^ Crainic, Marius; Fernandes, Rui Loja; Martinez Torres, David (2019). "Poisson manifolds of compact types (PMCT 1)". Journal für die reine und angewandte Mathematik. 2019 (756): 101–149. arXiv:1510.07108. doi:10.1515/crelle-2017-0006. S2CID 7668127.
  13. ^ Crainic, Marius; Mǎrcuţ, Ioan (2011). "On the existence of symplectic realizations". Journal of Symplectic Geometry. 9 (2011) (4): 435–444. doi:10.4310/JSG.2011.v9.n4.a2.
  14. ^ Crainic, Marius; Mǎrcuţ, Ioan (2015). "Reeb-Thurston stability for symplectic foliations". Mathematische Annalen. 363 (1–2): 217–235. arXiv:1307.4363. doi:10.1007/s00208-014-1167-7.
  15. ^ Crainic, Marius; Fernandes, Rui Loja (2010). "Stability of symplectic leaves". Inventiones Mathematicae. 180 (3): 481–533. arXiv:0810.4437. Bibcode:2010InMat.180..481C. doi:10.1007/s00222-010-0235-1.
  16. ^ Crainic, Marius; Moerdijk, Ieke (2000). "A homology theory for étale groupoids". Journal für die reine und angewandte Mathematik. 2000 (521): 25–46. doi:10.1515/crll.2000.029. hdl:1874/19249. S2CID 2607481.
  17. ^ Crainic, Marius; Moerdijk, Ieke (2004). "Čech-De Rham theory for leaf spaces of foliations" (PDF). Mathematische Annalen. 328 (2004): 59–85. doi:10.1007/s00208-003-0473-2. S2CID 119151176.
  18. ^ Crainic, Marius (2004). "Prequantization and Lie brackets". Journal of Symplectic Geometry. 2 (2004) (4): 579–602. arXiv:math/0403269. Bibcode:2004math......3269C. doi:10.4310/JSG.2004.v2.n4.a3. S2CID 8898100.
  19. ^ Crainic, Marius (2003). "Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes". Commentarii Mathematici Helvetici. 78 (4): 681–721. arXiv:math/0008064. doi:10.1007/s00014-001-0766-9.
  20. ^ Crainic, Marius; Struchiner, Ivan (2013). "On the linearization theorem for proper Lie groupoids". Annales Scientifiques de l'École Normale Supérieure. Série 4. 46 (5): 723–746. arXiv:1103.5245. doi:10.24033/asens.2200. S2CID 119177832.
  21. ^ Crainic, Marius; Struchiner, Ivan; Salazar, Maria Amelia (2015). "Multiplicative forms and Spencer operators". Mathematische Zeitschrift. 279 (3–4): 939–979. arXiv:1210.2277. doi:10.1007/s00209-014-1398-z. S2CID 119545548.
  22. ^ Crainic, Marius; Mestre, João Nuno (2018). "Orbispaces as differentiable stratified spaces". Letters in Mathematical Physics. 108 (3): 805–859. arXiv:1705.00466. Bibcode:2018LMaPh.108..805C. doi:10.1007/s11005-017-1011-6. PMC 5818699. PMID 29497239.
  23. ^ Crainic, Marius (2002). "Cyclic cohomology of Hopf algebras". Journal of Pure and Applied Algebra. 166 (1–2): 29–66. doi:10.1016/S0022-4049(01)00007-X. hdl:1874/1465.
  24. ^ Crainic, Marius; Yudilevich, Ori (2017). "Lie Pseudogroups à la Cartan". arXiv:1801.00370 [math.DG].
  25. ^ Cattafi, Francesco; Crainic, Marius; Salazar, Maria Amelia (2020-10-06). "From PDEs to Pfaffian fibrations". L'Enseignement Mathématique. 66 (1): 187–250. arXiv:1901.02084. doi:10.4171/LEM/66-1/2-10. ISSN 0013-8584. S2CID 213534860.
  26. ^ Crainic, Marius; Fernandes, Rui (2003-03-01). "Integrability of Lie brackets". Annals of Mathematics. 157 (2): 575–620. arXiv:math/0105033. doi:10.4007/annals.2003.157.575. ISSN 0003-486X.
  27. ^ Crainic, Marius; Fernandes, Rui Loja (2011-03-01). "A geometric approach to Conn's linearization theorem". Annals of Mathematics. 173 (2): 1121–1139. arXiv:0812.3060. doi:10.4007/annals.2011.173.2.14. ISSN 0003-486X.
  28. ^ Crainic, Marius; Abad, Camilo Arias (2011-06-17). "Representations up to homotopy of Lie algebroids" (PDF). Journal für die reine und angewandte Mathematik. 2012 (663): 91–126. doi:10.1515/CRELLE.2011.095. ISSN 0075-4102. S2CID 18662057.
  29. ^ Crainic, Marius; Abad, Camilo Arias (2011). "The Weil algebra and the Van Est isomorphism". Annales de l'Institut Fourier. 61 (2011) (3): 927–970. arXiv:0901.0322. doi:10.5802/aif.2633.
  30. ^ "Marius Crainic - Google Scholar Citations". scholar.google.nl. Retrieved 2020-02-01.

Read other articles:

Jatibarang Baru, Jatibarang, Indramayu

Jatibarang BaruDesaNegara IndonesiaProvinsiJawa BaratKabupatenIndramayuKecamatanJatibarangKode Kemendagri32.12.13.2003 Luas... km²Jumlah penduduk... jiwaKepadatan... jiwa/km² Jatibarang Baru (Jawa: ꦗꦠꦶꦧꦫꦁꦧꦫꦸ) adalah desa di kecamatan Jatibarang, Indramayu, Jawa Barat, Indonesia. Jatibarang Baru sebuah desa pemekaran dari desa Jatibarang. Batas wilayah Jatibarang & Jatibarang baru dipisahkan oleh jalur pantura yang menghubungkan Jatibarang-Karangampel. Sedangka...

 

55 Cancri

Binary star with at least five exoplanets 41 light-years away For other stars with this Bayer designation, see ρ Cancri. 55 Cancri Location of 55 Cancri (circled in red) Observation dataEpoch J2000.0      Equinox J2000.0 Constellation Cancer Pronunciation /ˈkæŋkraɪ/ or /ˈkæŋkriː/ 55 Cancri A Right ascension 08h 52m 35.8111s[1] Declination +28° 19′ 50.955″[1] Apparent magnitude (V) 5.95[2] 55 Ca...

 

ماهر السيد

ماهر السيد   معلومات شخصية الاسم الكامل ماهر السيد الميلاد 13 مارس 1979 (العمر 45 سنة)دمشق سوريا الطول 1.76 م (5 قدم 9 1⁄2 بوصة) مركز اللعب وسط الجنسية سوريا  الرقم 9 مسيرة الشباب سنوات فريق الوحدة المسيرة الاحترافية1 سنوات فريق م. (هـ.) 1997–1998 الوحدة 1999–2002 نادي الجيش...

AS Muret

French sporting club Football clubMuretFull nameAmicale Sportive Muretaine footballFounded1903GroundStade Clément AderCapacity1,800ChairmanMarco CafiéroManagerChristophe TaineLeagueRégional 1 Occitanie2021–22National 3 Group H: Occitanie, 13th (relegated)WebsiteClub website Amicale Sportive Muretaine is a club located in Muret, France. Founded in 1903, it is mostly known for its football teams. The women's team played in the highest level of league competition, Division 1 Féminine for t...

 

Camp Patrick Henry

Camp Patrick HenryEponym: Patrick HenryNewport News, Virginia Coordinates37°08′26″N 76°30′21″W / 37.1406°N 76.5059°W / 37.1406; -76.5059TypeStaging area for Hampton Roads Port of Embarkation.Site historyBuilt1942In use1942-1945Garrison informationGarrisonAcreage: 1,649Officer Billeting: 1,621Enlisted Billeting: 22,916 Camp Patrick Henry is a decommissioned United States Army base which was located in Warwick County, Virginia. After World War II, the si...

 

Fine harness

This article does not cite any sources. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Fine harness – news · newspapers · books · scholar · JSTOR (July 2011) (Learn how and when to remove this template message) An American Saddlebred in fine harness. A Hackney pony in the harness pony division, a fine harness event Fine harness is a type of driving competition see...

Flash suppressor

Exhaust gas light-dimming gunbarrel attachment Bullet exiting an A2-style flash suppressor, photographed with a high-speed air-gap flash This image was taken from a high-speed Schlieren video of a flash suppressor. Schlieren imaging reveals the heat and pressure gradients invisible to standard imaging. Detail of the birdcage-type flash suppressor on a SIG SG 550 A flash suppressor, also known as a flash guard, flash eliminator, flash hider, or flash cone, is a muzzle device attached to the mu...

 

Associazione Calcio Vicenza 1952-1953

Voce principale: Vicenza Calcio. Associazione Calcio VicenzaStagione 1952-1953Sport calcio SquadraVicenza Calcio Allenatore Fulvio Bernardini (1ª-17ª) Umberto Menti (I) (18ª-21ª) Pietro Spinato (22ª-34ª) Presidente Italo Festa Serie B12º posto. Maggiori presenzeCampionato: Caciagli, Lerici (34) Miglior marcatoreCampionato: Lerici, Vergazzola (9) 1951-1952 1953-1954 Si invita a seguire il modello di voce Questa voce raccoglie le informazioni riguardanti l'Associazione Calcio Vicenza ne...

 

趙家驤

追晉陸軍二級上將趙家驤將軍个人资料出生1910年 大清河南省衛輝府汲縣逝世1958年8月23日(1958歲—08—23)（47—48歲） † 中華民國福建省金門縣国籍 中華民國政党 中國國民黨获奖 青天白日勳章（追贈）军事背景效忠 中華民國服役 國民革命軍 中華民國陸軍服役时间1924年－1958年军衔 二級上將 （追晉）部队四十七師指挥東北剿匪總司令部參謀長陸軍�...

1987 FIFA U-16 World Championship

1987 FIFA U-16 World Championship2nd FIFA U-16 World Tournament for the JVC Cup Coupe du Monde de Football des Moins de 16 ans 1987Tournament detailsHost countryCanadaDates12–25 JulyTeams16 (from 6 confederations)Venue(s)4 (in 4 host cities)Final positionsChampions Soviet Union (1st title)Runners-up NigeriaThird place Ivory CoastFourth place ItalyTournament statisticsMatches played32Goals scored82 (2.56 per match)Attendance169,160 (5,286 per matc...

 

John Herrington

American astronaut, aviator and engineer (born 1958) For other people named John Herrington, see John Herrington (disambiguation). John HerringtonHerrington in 2002BornJohn Bennett Herrington (1958-09-14) September 14, 1958 (age 65)Wetumka, Oklahoma, U.S.EducationUniversity of Colorado, Colorado Springs (BA)Naval Postgraduate School (MS)Space careerNASA astronautRankCommander, USN[1]Time in space13d 18h 47m[2]SelectionNASA Group 16 (1996)MissionsSTS-113Mission insignia J...

 

Malsouka

Maghrebi food ingredient MalsoukaAlternative namesDyoul, Warqa Malsouka (Arabic: ملسوقة, also malsouqa) or warqa (Arabic: ورقة), also known as brik sheets (Arabic: ورق البريك, French: feuilles de brick) or bourek sheets (ورق البوراك) or dioul (Arabic: ديول), is a Maghrebi pastry sheet that resembles filo.[1][2][3][4] It is thicker than filo[2] and unlike filo[3] is created by spreading wafer-thin layers of batter...

Disulfur dibromide

Disulfur dibromide   Sulfur, S  Bromine, Br Names IUPAC name Dibromodisulfane Other names Bromosulfanyl thiohypobromiteDisulfur dibromide Identifiers CAS Number 13172-31-1 Y 3D model (JSmol) Interactive image ChemSpider 109902 ECHA InfoCard 100.032.821 EC Number 236-119-1 PubChem CID 123296 UNII L9DU8F2SHZ Y CompTox Dashboard (EPA) DTXSID00157189 InChI InChI=1S/Br2S2/c1-3-4-2Key: JIRDGEGGAWJQHQ-UHFFFAOYSA-N SMILES S(SBr)Br Properties Chemical formula S2Br2&...

 

Ananda, Ivory Coast

Town and sub-prefecture in Lacs, Ivory CoastAnandaTown and sub-prefectureAnandaLocation in Ivory CoastCoordinates: 6°57′N 4°18′W / 6.950°N 4.300°W / 6.950; -4.300Country Ivory CoastDistrictLacsRegionIffouDepartmentDaoukroPopulation (2014)[1] • Total12,020Time zoneUTC+0 (GMT) Ananda is a town in east-central Ivory Coast. It is a sub-prefecture of Daoukro Department in Iffou Region, Lacs District. Ananda was a commune until March 20...

 

俄亥俄州

  「俄亥俄」重定向至此。关于其他用法，请见「俄亥俄 (消歧义)」。 俄亥俄州 美國联邦州State of Ohio 州旗州徽綽號：七葉果之州地图中高亮部分为俄亥俄州坐标：38°27'N－41°58'N, 80°32'W－84°49'W国家 美國加入聯邦1803年3月1日，在1953年8月7日追溯頒定（第17个加入联邦）首府哥倫布（及最大城市）政府 • 州长（英语：List of Governors of {{{Name}}}]]） •&...

Aksesibilitas

Aksesibilitas (atau keteraksesan, ketercapaian) adalah derajat kemudahan dicapai oleh orang, terhadap suatu objek, pelayanan ataupun lingkungan. Dalam pengertian yang lain bahwa aksesibilitas merupakan ukuran kemudahan lokasi untuk dijangkau dari lokasi lainnya melalui sistem transportasi. Ukuran keterjangkauan atau aksesibilitas meliputi kemudahan waktu, biaya, dan usaha dalam melakukan perpindahan antar tempat-tempat atau kawasan.[1] Kemudahan akses tersebut diimplementasikan pada b...

 

Ross's Landing

This article needs additional citations for verification. Please help improve this article by adding citations to reliable sources. Unsourced material may be challenged and removed.Find sources: Ross's Landing – news · newspapers · books · scholar · JSTOR (December 2013) (Learn how and when to remove this message) United States historic placeRoss's LandingU.S. National Register of Historic Places Water cascading down steps above Ross's Landing Riverfr...

 

Tuileau

Section de mortier de tuileau (rouge) surmontée de tuf grossier - (Aqueduc de Mons à Fréjus) Kerkouane, opus signinum avec inclusions de marbre Le tuileau (en latin testae) — chimiquement de la métakaolinite — est formé de tuiles ou de briques en terre cuite broyées finement. Il entre dans la composition du mortier antique romain dit mortier au tuileau, en italien cocciopesto. Il forme donc une solution de réemploi pour ces matériaux. Il réalise avec la chaux, une réac...

Benito Martinez (actor)

American actor Benito MartinezBorn (1971-06-28) June 28, 1971 (age 52)Albuquerque, New Mexico, U.S.OccupationActorYears active1988–present Benito Martinez (born June 28, 1971)[1] is an American actor, best known for his role as LAPD Captain David Aceveda in the FX police drama The Shield, Luis Torres in Sons of Anarchy (2011–2012), Todd Denver in How to Get Away with Murder (2016–2018), Sheriff Diaz in 13 Reasons Why (2019–2020), and for his film roles in the movie M...

 

Lucretia del Valle Grady

American politician (1892–1972) Lucretia del Valle GradyBorn18 October 1892Los Angeles, CaliforniaDied23 May 1972San Mateo, CaliforniaOccupation(s)Suffragette, activistSpouseHenry F. GradyParentReginaldo Francisco del Valle Lucretia del Valle Grady (October 18, 1892 — May 23, 1972) was a Californio political activist, suffragette, and actress. Born to Reginaldo Francisco del Valle, noted Angelino statesman, Lucretia became an important Democratic Party official, serving as vice chair of t...