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Prof. Dr. rer. nat. Marc Levine

Mathematik

Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-O-3.59
Telefon
+49 201 183 3114
E-Mail
marc.levine@uni-due.de
Webseite
http://www.uni-due.de/mathematik/

Funktionen

  • Professor/in, Mathematik

Aktuelle Veranstaltungen

Vergangene Veranstaltungen (max. 10)

Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.

    Artikel in Zeitschriften

  • Ananyevskiy, Alexey; Levine, Marc
    Combing a hedgehog over a field
    In: Algebra and Number Theory, Jg. 19, 2025, Nr. 12, S. 2409 – 2431
    DOI (Open Access)
  • Levine, Marc; Pepin Lehalleur, Simon; Srinivas, Vasudevan
    Euler characteristics of homogeneous and weighted-homogeneous hypersurfaces
    In: Advances in Mathematics, Jg. 441, 2024, 109556
    DOI (Open Access)
  • Levine, Marc
    Virtual localization in equivariant Witt cohomology
    In: Indagationes Mathematicae, 2024, in press
    DOI (Open Access)
  • Elmanto, Elden; Levine, Marc; Spitzweck, Markus; Østvær, Paul Arne
    Algebraic cobordism and étale cohomology
    In: Geometry and Topology: G&T, Jg. 26, 2022, Nr. 2, S. 477 – 586
    DOI, Online Volltext (Open Access)
  • Huang, Yuliang; Orecchia, Giulio; Romagny, Matthieu; Abramovich, Dan; Thomas, Richard P.; Levine, Marc
    Unramified F -divided objects and the étale fundamental pro-groupoid in positive characteristic
    In: Geometry and Topology: G&T, Jg. 26, 2022, Nr. 7, S. 3221 – 3306
    DOI, Online Volltext (Open Access)
  • Levine, Marc; Yang, Yaping; Zhao, Gufang
    Algebraic elliptic cohomology and flops II : SL-cobordism
    In: Advances in Mathematics, Jg. 384, 2021, 107726
    DOI (Open Access)
  • Levine, Marc
    The instrinsic stable normal cone
    In: Algebraic Geometry, Jg. 8, 2021, Nr. 5, S. 518 – 561
    DOI (Open Access)
  • Levine, Marc
    The intrinsic stable normal cone
    In: Algebraic Geometry, Jg. 8, 2021, Nr. 5, S. 518 – 561
    DOI, Online Volltext (Open Access)
  • Levine, Marc
    Aspects of enumerative geometry with quadratic forms
    In: Documenta mathematica, Jg. 25, 2020, S. 2179 – 2239
    DOI, Online Volltext (Open Access)
  • Levine, Marc; Raksit, Arpon
    Motivic Gauss–Bonnet formulas
    In: Algebra and Number Theory, Jg. 14, 2020, Nr. 7, S. 1801 – 1851
    DOI, Online Volltext (Open Access)
  • Levine, Marc
    Some recent trends in motivic homotopy theory
    In: Notices of the American Mathematical Society, Jg. 67, 2020, Nr. 1, S. 9 – 20
    DOI (Open Access)
  • Levine, Marc; Yang, Yaping; Zhao, Gufang; Riou, Joël
    Algebraic elliptic cohomology theory and flops I
    In: Mathematische Annalen, Jg. 375, 2019, Nr. 3-4, S. 1823 – 1855
    DOI, Online Volltext (Open Access)
  • Levine, Marc
    Motivic euler characteristics and witt-valued characteristic classes
    In: Nagoya Mathematical Journal, Jg. 236, 2019, S. 251 – 310
    DOI (Open Access)
  • Levine, Marc
    Vladimir Voevodsky - An appreciation
    In: Bulletin of the American Mathematical Society, Jg. 55, 2018, Nr. 4, S. 405 – 425
    DOI (Open Access)
  • Levine, Marc
    Intersection theory in algebraic cobordism
    In: Journal of Pure and Applied Algebra, Jg. 221, 2017, Nr. 7, S. 1645 – 1690
    DOI, Online Volltext (Open Access)
  • Chatzistamatiou, Andre; Levine, Marc
    Torsion orders of complete intersections
    In: Algebra and Number Theory, Jg. 11, 2017, Nr. 8, S. 1779 – 1835
    DOI, Online Volltext (Open Access)
  • Ananyevskiy, Alexey; Levine, Marc; Panin, Ivan
    Witt sheaves and the η-inverted sphere spectrum
    In: Journal of Topology, Jg. 10, 2017, Nr. 2, S. 370 – 385
    DOI, Online Volltext (Open Access)
  • Levine, Marc
    An Overview of Motivic Homotopy Theory
    In: Acta Mathematica Vietnamica, Jg. 41, 2016, Nr. 3, S. 379 – 407
    DOI
  • Esnault, Hélène; Levine, Marc; Wittenberg, Olivier
    Index of varieties over Henselian fields and Euler characteristic of coherent sheaves
    In: Journal of Algebraic Geometry, Jg. 24, 2015, Nr. 4, S. 693 – 718
    DOI, Online Volltext (Open Access)
  • Levine, Marc
    Motivic landweber exact theories and their effective covers
    In: Homology, Homotopy and Applications, Jg. 17, 2015, Nr. 1, S. 377 – 400
    DOI
  • Levine, Marc
    The Adams–Novikov spectral sequence and Voevodsky's slice tower
    In: Geometry and Topology: G&T, Jg. 19, 2015, Nr. 5, S. 2691 – 2740
    DOI, Online Volltext (Open Access)
  • Levine, Marc
    A comparison of motivic and classical stable homotopy theories
    In: Journal of Topology, Jg. 7, 2014, Nr. 2, S. 327 – 362
    DOI
  • Dai, Shouxin; Levine, Marc
    Connective algebraic K-theory
    In: Journal of K-Theory, Jg. 13, 2014, Nr. 1, S. 9 – 56
    DOI, Online Volltext (Open Access)
  • Levine, Marc
    Convergence of Voevodsky's slice tower
    In: Documenta mathematica, Jg. 18, 2013, Nr. 2013, S. 907 – 941
    Online Volltext
  • Ackermann, Ole; Levine, Marc; Eckert, Kolja; Rülander, C.; Stanjek, M.; von Schulze Pellengahr, Christoph
    Unsicherheit bei der radiologischen Achsbestimmung proximaler Humerusfrakturen
    In: Zeitschrift für Orthopädie und Unfallchirurgie, Jg. 151, 2013, Nr. 1, S. 74 – 79
    DOI
  • Kahn, Bruno; Levine, Marc
    Motives of Azumaya algebras
    In: Journal of the Institute of Mathematics of Jussieu, Jg. 9, 2010, Nr. 3, S. 481 – 599
    DOI, Online Volltext (Open Access)
  • Levine, Marc
    Slices and transfers
    In: Documenta mathematica, Jg. Extra Volume: Andrei A. Suslin's Sixtieth Birthday, 2010, S. 393 – 443
    Online Volltext
  • Levine, Marc; Pandharipande, Rahul
    Algebraic cobordism revisited
    In: Inventiones mathematicae, Jg. 176, 2009, Nr. 1, S. 63 – 130
    DOI
  • Levine, Marc
    Comparison of cobordism theories
    In: Journal of Algebra, Jg. 322, 2009, Nr. 9, S. 3291 – 3317
    DOI
  • Krishna, Amalendu; Levine, Marc
    Additive higher Chow groups of schemes
    In: Journal für die reine und angewandte Mathematik, Jg. 619, 2008, S. 75 – 140
    DOI
  • Levine, Marc
    Motivic Homotopy Theory
    In: Milan journal of mathematics : MJM, Jg. 76, 2008, Nr. 1, S. 165 – 199
    DOI
  • Levine, Marc; Serpe, C.
    On a spectral sequence for equivariant K-theory
    In: K-Theory, Jg. 38, 2008, Nr. 2, S. 177 – 222
  • Levine, Marc
    Oriented cohomology, Borel-Moore homology, and algebraic cobordism
    In: Michigan mathematical journal : MMJ, Jg. 57, 2008, S. 523 – 572
    Online Volltext
  • Levine, Marc
    The homotopy coniveau tower
    In: Journal of topology, Jg. 1, 2008, Nr. 1, S. 217 – 267
    DOI
  • Levine, Marc
    Motivic Tubular Neighborhoods
    In: Documenta mathematica, Jg. 12, 2007, S. 71 – 146
    Online Volltext
  • Esnault, Helene; Levine, Marc
    Tate motives and the fundamental group
    In: De.arxiv.org, Jg. 2007, 2007, S. 0708.4034
    Online Volltext
  • Levine, Marc
    Chow’s Moving Lemma and the Homotopy Coniveau Tower
    In: K-Theory, Jg. 37, 2006, Nr. 1-2, S. 129 – 209
  • Bloch, Spencer; Esnault, Helene; Levine, Marc
    Decomposition of the Diagonal and Eigenvalues of Frobenius for Fano Hypersurfaces
    In: American journal of mathematics, Jg. 127, 2005, Nr. 1, S. 193 – 207
    Online Volltext
  • Levine, Marc
    A survey of algebraic cobordism
    In: Algebra Colloquium, Jg. 11, 2004, Nr. 1, S. 79 – 90
  • Levine, Marc
    Fundamental Classes in Algebraic Cobordism
    In: K-Theory, Jg. 30, 2003, Nr. 2, S. 129 – 135
  • Levine, Marc
    Blowing up monomial ideals
    In: Journal of pure and applied algebra, Jg. 160, 2001, Nr. 1, S. 67 – 103
    DOI
  • Morel, Fabien; Levine, Marc
    Cobordisme algébrique, I
    In: Comptes rendus de l'Académie des Sciences. Série 1, Jg. 332, 2001, Nr. 8, S. 723 – 728
    Online Volltext
  • Morel, Fabien; Levine, Marc
    Cobordisme algébrique, II
    In: Comptes rendus de l'Académie des Sciences. Série 1, Jg. 332, 2001, Nr. 9, S. 815 – 820
    Online Volltext
  • Levine, Marc
    Techniques of localization in the theory of algebraic cycles
    In: Journal of Algebraic Geometry, Jg. 10, 2001, Nr. 2, S. 299 – 363
  • Geisser, Thomas; Levine, Marc
    The Bloch-Kato conjecture and a theorem of Suslin-Voevodsky
    In: Journal für die reine und angewandte Mathematik, 2001, Nr. 530, S. 55 – 103
    DOI
  • Levine, Marc
    Inverting the Motivic Bott Element
    In: K-Theory, Jg. 19, 2000, Nr. 1, S. 1 – 28
    Online Volltext
  • Geisser, Thomas; Levine, Marc
    The K-theory of fields in characteristic p
    In: Inventiones mathematicae, Jg. 139, 2000, Nr. 3, S. 459 – 493
    DOI
  • Esnault, Helene; Levine, Marc
    The Steinberg Curve
    In: American journal of mathematics, Jg. 122, 2000, Nr. 4, S. 783 – 804
    Online Volltext
  • Esnault, Helene; Kahn, Bruno; Levine, Marc; Viehweg, Eckart
    The Arason invariant and mod 2 algebraic cycles
    In: Journal of the American Mathematical Society, Jg. 11, 1998, Nr. 1, S. 73 – 118
    Online Volltext
  • Esnault, Helene; Viehweg, Eckart; Levine, Marc
    Chow groups of projective varieties of very small degree
    In: Duke Mathematical Journal (DMJ), Jg. 87, 1997, Nr. 1, S. 29 – 58
    Online Volltext
  • Esnault, Hélène; Levine, Marc; Viehweg, Eckart
    Chow groups on projective varieties of very small degree.
    In: Duke Mathematical Journal (DMJ), Jg. Band: 87, 1997, S. 29 – 58
  • Levine, Marc
    Homology of algebraic varieties : an introduction to the works of Suslin and Voevodsky
    In: Bulletin of the American Mathematical Society, Jg. 34, 1997, Nr. 3, S. 293 – 312
    Online Volltext
  • Levine, Marc
    The weight twoK-theory of fields Nationallizenz (Volltext über TIB)
    In: K-Theory, Jg. 9, 1995, Nr. 5, S. 443 – 501
  • Levine, Marc
    The algebraic K-theory of the classical groups and some twisted forms
    In: Duke Mathematical Journal (DMJ), Jg. 70, 1993, Nr. 2, S. 405 – 443
    Online Volltext

    • Vorworte / Nachworte

  • Binda, Federico; Levine, Marc; Nguyen, Manh Toan; Röndigs, Oliver
    Preface
    In: Motivic Homotopy Theory and Refined Enumerative Geometry / Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry ; May 14–18, 2018, Essen / Binda, Federico; Levine, Marc; Nguyen, Manh Toan; Röndigs, Oliver (Hrsg.). Providence: American Mathematical Society, 2020, S. vii – viii
    DOI

    • Beiträge in Sammelwerken und Tagungsbänden

  • Levine, Marc; Pauli, Sabrina
    Quadratic Counts of Twisted Cubics
    In: Perspectives on Four Decades of Algebraic Geometry, Volume 1: In Memory of Alberto Collino / Albano, Alberto; Aluffi, Paolo; Bolognesi, Michele (Hrsg.). Basel: Birkhauser, 2024, S. 455 – 544
    DOI (Open Access)
  • Levine, Marc
    Lectures on quadratic enumerative geometry
    In: Motivic homotopy theory and refined enumerative geometry / Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry ; May 14–18, 2018, Essen / Binda, Federico; Levine, Marc; Nguyen, Manh Toan; Rondigs, Oliver (Hrsg.). Providence: American Mathematical Society, 2020, S. 163 – 198
    DOI
  • Levine, Marc
    Tate motives and the fundamental group
    In: Proceedings of the International Colloquium on Cycles, Motives and Shimura Varieties / International Colloquium on Cycles, Motives and Shimura Varieties : Mumbai 2008 from January 3 to January 12 / Srinivas, Vasudevan (Hrsg.). New Dehli [u.a.]: Narosa Publ. House, 2010, S. 265 – 392
  • Colliot-Thélène, Jean-Louis; Levine, Marc
    Une version du théorème d’Amer et Brumer pour les zéro-cycles
    In: Quadratic Forms, Linear Algebraic Groups, and Cohomology / Colliot-Thélène, Jean-Louis (Hrsg.). New York, NY: Springer Science+Business Media, LLC, 2010, S. 215 – 223
    DOI
  • Levine, Marc
    Smooth Motives
    In: Motives and algebraic cycles / Rob de, Jeu (Hrsg.). Providence, RI: American Math. Society, 2009, S. 175 – 231
    Online Volltext
  • Levine, Marc
    Six lectures on motives
    In: Some recent developments in algebraic k-theory / School and Conference on Algebraic K-theory and its Applications ; (Trieste), 14 May - 1 June 2007 / Friedlander, Eric; Kuku, Aderemi; Pedrini, Claudio (Hrsg.). Trieste: Abdus Salam International Centre for Theoretical Physics, 2008, S. 131 – 228
  • Levine, Marc
    Background from algebraic geometry
    In: Motivic homotopy theory / Dundas, Björn Ian (Hrsg.). Berlin [u.a.]: Springer, 2007, S. 70 – 145
  • Levine, Marc
    Mixed Motives
    In: Handbook of K-theory: 1 / Friedlander, Eric M. (Hrsg.). Berlin [u.a.]: Springer, 2005, S. 429 – 522
    Online Volltext
  • Levine, Marc
    Lambda operations, K-theory and motivic cohomology
    In: Algebraic K-theory / Snaith, Victor P. (Hrsg.). Providence, RI: American Mathematical Soc., 1997, S. 131 – 184
    Online Volltext
  • Levine, Marc
    Tate motives and the vanishing conjectures for algebraic K-theory
    In: Algebraic K-theory and algebraic topology: proceedings of the NATO Advanced Study Institute on Algebraic K-Theory and Algebraic Topology / NATO Advanced Study Institute on Algebraic K-Theory and Algebraic Topology, Lake Louise, Alberta, Canada, December 12 - 16, 1991 / Goerss, Paul G. (Hrsg.). Dordrecht [u.a.]: Kluwer Acad. Publ., 1993, S. 167 – 188
    Online Volltext

    • Bücher/Sammelwerke/Tagungsbände

  • Binda, Federico; Levine, Marc; Nguyen, Manh; Röndigs, Oliver (Hrsg.)
    Motivic Homotopy Theory and Refined Enumerative Geometry
    Workshop on Motivic Homotopy Theory and Refined Enumerative Geometry ; May 14–18, 2018, Essen,
    Providence: American Mathematical Society Society, 2020
    (Contemporary Mathematics ; 745)
    DOI
  • Levine, Marc; Morel, Fabien
    Algebraic cobordism
    Berlin [u.a.]: Springer, 2007(Springer monographs in mathematics)

    • Vorträge

  • Levine, Marc
    Was machen Mathematiker eigentlich?
    Die kleine Form, 05. Mai 2010, Essen,
    2010(Die kleine Form 2010)
    Online Volltext, Online Volltext