János Pach (born May 3, 1954)[2] is a mathematician and computer scientist working in the fields of combinatorics and discrete and computational geometry.
Pach was born and grew up in Hungary. He comes from a noted academic family: his father, Zsigmond Pál Pach [hu] (1919–2001) was a well-known historian, and his mother Klára (née Sós, 1925–2020) was a university mathematics teacher;[3] his maternal aunt Vera T. Sós and her husband Pál Turán are two of the best-known Hungarian mathematicians.[4]
Pach received his Candidate degree from the Hungarian Academy of Sciences, in 1983, where his advisor was Miklós Simonovits.[5]
Since 1977, he has been affiliated with the Alfréd Rényi Institute of Mathematics of the Hungarian Academy of Sciences.[6]
He was Research Professor at the Courant Institute of Mathematical Sciences at New York University[1] (since 1986), Distinguished Professor of Computer Science at City College of New York (1992-2011), and Neilson Professor at Smith College (2008-2009).
Between 2008 and 2019, he was Professor of the Chair of Combinatorial Geometry at École Polytechnique Fédérale de Lausanne.[2][7]
He was the program chair for the International Symposium on Graph Drawing in 2004 and Symposium on Computational Geometry in 2015. He is co-editor-in-chief of the journal Discrete and Computational Geometry, and he serves on the editorial boards of several other journals including Combinatorica, SIAM Journal on Discrete Mathematics, Computational Geometry, Graphs and Combinatorics, Central European Journal of Mathematics, and Moscow Journal of Combinatorics and Number Theory.
He was an invited speaker at the Combinatorics session of the International Congress of Mathematicians, in Seoul, 2014.[8] He was a plenary speaker at the European Congress of Mathematics (Portorož), 2021.[9]
Pach has authored several books and over 300 research papers. He was one of the most frequent collaborators of Paul Erdős, authoring over 20 papers with him and thus has an Erdős number of one.[10]
Pach's research is focused in the areas of combinatorics and discrete geometry. In 1981, he solved Ulam's problem, showing that there exists no universal planar graph.[11] In the early 90s[12] together with Micha Perles, he initiated the systematic study of extremal problems on topological and geometric graphs.
Some of Pach's most-cited research work[13] concerns the combinatorial complexity of families of curves in the plane and their applications to motion planning problems[14][15] the maximum number of k-sets and halving lines that a planar point set may have,[16] crossing numbers of graphs,[17][18] embedding of planar graphs onto fixed sets of points,[19][20] and lower bounds for epsilon-nets.[21][22]
Pach received the Grünwald Medal of the János Bolyai Mathematical Society (1982), the Lester R. Ford Award from the Mathematical Association of America (1990), and the Alfréd Rényi Prize from the Hungarian Academy of Sciences (1992).[23][24][25] He was an Erdős Lecturer at Hebrew University of Jerusalem in 2005. In 2011 he was listed as a fellow of the Association for Computing Machinery for his research in computational geometry.[26] In 2014 he was elected as a member of Academia Europaea,[25] and in 2015 as a fellow of the American Mathematical Society "for contributions to discrete and combinatorial geometry and to convexity and combinatorics."[27] In 2022 he was elected corresponding member of the Hungarian Academy of Sciences.[28]
Private art school in Cincinnati, Ohio 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: Art Academy of Cincinnati – news · newspapers · books · scholar · JSTOR (November 2018) (Learn how and when to remove this template message) Art Academy of CincinnatiMottoMake Art, Make a DifferenceTypePrivateEstablished1869P…
سوبر ميرو النوع كوميدي تأليف أحمد محيي محمد محمدي إخراج وليد الحلفاوي بطولة إيمي سمير غانم ، حمدي الميرغني ، سمير غانم ،أحمد سلطان ،بيومي فؤاد[1] البلد مصر لغة العمل العربية عدد الحلقات 30 مدة الحلقة 45 دقيقة منتج أحمد السبكي بث لأول مرة في 1 رمضان 1440هـ 6 مايو 2019 السينما.…
1986 war film directed by Oliver Stone For other uses, see Platoon (disambiguation). PlatoonTheatrical release poster by Bill GoldDirected byOliver StoneWritten byOliver StoneProduced byArnold KopelsonStarring Tom Berenger Willem Dafoe Charlie Sheen CinematographyRobert RichardsonEdited byClaire SimpsonMusic byGeorges DelerueProductioncompanyHemdale Film CorporationDistributed byOrion PicturesRelease date December 19, 1986 (1986-12-19) Running time120 minutes[1]CountryUnit…
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Порозінський Сергій Вікторович Старшина Загальна інформаціяНародження 6 вересня 1985(1985-09-06)НебіжСмерть 10 лютого 2015(2015-02-10) (29 років)СпартакВійськова службаПриналежність УкраїнаВид ЗС Збройні силиРід військ Десантні військаФормування 95 ОАеМБрВійни / битви …
18th duke of Alburquerque In this Spanish name, the first or paternal surname is Osorio and the second or maternal family name is Díez de Rivera. The Most ExcellentThe Duke of AlburquerqueGE OSLHead of the Household of the Count of BarcelonaIn office1954–1993MonarchInfante Juan, Count of Barcelona Personal detailsBornBeltrán Alfonso Osorio y Díez de Rivera15 December 1918Madrid, SpainDied7 February 1994(1994-02-07) (aged 75)Madrid, SpainSpouses Teresa Beltrán de Lis y Pidal …
Stasiun Kedungjati JS25 Stasiun Kedungjati, 2019LokasiKedungjati, Kedungjati, Grobogan, Jawa TengahIndonesiaKetinggian+36 mOperatorKereta Api IndonesiaDaerah Operasi IV SemarangLetak dari pangkal km 34+131 lintas lintas Semarang Tawang-Brumbung-Gundih-Solo Balapan-Solo Jebres/Yogyakarta km 0+000 lintas Kedungjati–Bringin–Ambarawa[1] Jumlah peron4 (satu peron sisi dan tiga peron pulau yang agak tinggi). Stasiun ini merupakan stasiun pulau.Jumlah jalur3 (jalur 2: sepur lurus)Informasi …
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SWF1 Hörfunksender (Öffentlich-rechtlich) Empfang analog terrestrisch, Kabel, Satellit Empfangsgebiet Baden-Württemberg, Rheinland-Pfalz Betrieb 1949 bis 30. Aug. 1998 Sendeanstalt Südwestfunk Liste von Hörfunksendern SWF1 war der Name des ersten Hörfunkprogramms des Südwestfunks (Claim bis zur Fusion: „Mitten im Leben“, zuvor „Eine Welle weiter“ und andere). Diese Landesrundfunkanstalt existierte von 1949 bis 1998, dann fusionierte sie mit dem Süddeutschen Rundfunk zum Süd…
يفتقر محتوى هذه المقالة إلى الاستشهاد بمصادر. فضلاً، ساهم في تطوير هذه المقالة من خلال إضافة مصادر موثوق بها. أي معلومات غير موثقة يمكن التشكيك بها وإزالتها. (ديسمبر 2018) تقرير التقييم الأول للجنة الدولية للتغيرات المناخية الناشر اللجنة الدولية للتغيرات المناخية تقري
アンドレジーニョ 名前本名 アンドレ・フランシスコ・ウィリアムス・ロチャ・ダ・シルヴァAndré Francisco Williams Rocha da Silvaラテン文字 ANDREZINHO基本情報国籍 ブラジル生年月日 (1986-02-12) 1986年2月12日(37歳)出身地 イガラペ(ポルトガル語版)身長 176cm選手情報ポジション MFユース レモクラブ1年 クラブ 出場 (得点)2006-2007 レモ 23 (2)2007-2008 コリンチャンス 2 (0)2008 グアラニ 8…
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Department of Government of United Kingdom that investigates and prosecutes complex fraud Serious Fraud OfficeAgency overviewFormed1987; 36 years ago (1987)EmployeesAround 500 permanent staffAnnual budget£36.35m (2011–12)Jurisdictional structureOperations jurisdictionUnited KingdomLegal jurisdictionEngland, Wales and Northern IrelandSpecialist jurisdictionsSerious or complex fraud, commercial crime, fraud covering multiple lower level jurisdictions.Anti-corruptionOperational…
This article uses bare URLs, which are uninformative and vulnerable to link rot. Please consider converting them to full citations to ensure the article remains verifiable and maintains a consistent citation style. Several templates and tools are available to assist in formatting, such as reFill (documentation) and Citation bot (documentation). (September 2022) (Learn how and when to remove this template message) Dam in Himachal Pradesh, IndiaNathpa Jhakri DamLocation of Nathpa Jhakri Dam in Ind…
1972 film EmbassyDirected byGordon HesslerWritten byJohn BirdWilliam FairchildBased onEmbassy by Stephen CoulterProduced byMel FerrerStarringRichard RoundtreeChuck ConnorsMarie-José NatRay MillandCinematographyRaoul CoutardEdited byWilly KemplenMusic byJonathan HodgeProductioncompaniesTriad ProductionsWeaver ProductionsDistributed byHemdale Film DistributionRelease date2 March 1972Running time90 minutesCountryUnited KingdomLanguageEnglish Embassy is a 1972 British spy thriller film directed by …
Field of health science For the medical journal, see Tobacco Control (journal). Anti-tobacco redirects here. See also Smoking ban or List of smoking bans. Part of a series onTobacco History History of tobacco Chemistry Tobacco Tobacco smoke Biology Nicotiana (Nicotiana tabacum) Nicotine Tobacco diseases Types of tobacco Personal and social effects Health effects Prevalence of consumption Nicotine marketing Tobacco and art Tobacco and other drugs Tobacco control Religious views Tobacco politics T…
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Banana pith Banana pith or banana stem, is a vegetable harvested from the starchy inner core of banana pseudostems. It is used similarly to heart of palms in the cuisines of the Philippines, Malaysia, Indochina, Sri Lanka, Myanmar and southern India.[1][2][3][4] See also Banana flower Banana leaves Palmyra sprout Deckenia nobilis Sago References ^ Padam, Birdie Scott; Tin, Hoe Seng; Chye, Fook Yee; Abdullah, Mohd Ismail (December 2014). Banana by-products: an unde…
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