(Immanuel Halupczok)

Lehrstuhl für Algebra und Zahlentheorie
Mathematisches Institut
Heinrich-Heine-Universität Düsseldorf
Gebäude 25.22
Universitätsstr. 1
40225 Düsseldorf

Phone: +49 211 81-13189


Motivic Integration and Applications:

  • Integrability of oscillatory functions on local fields: Transfer principles  [published, arxiv]
    with R. Cluckers, J. Gordon; Duke Math. J., 163 (2014), 1549-1600.
  • Local integrability results in harmonic analysis on reductive groups in large positive characteristic  [published, arxiv]
    with R. Cluckers, J. Gordon; Ann. Sci. Éc. Norm. Supér. (4), 47 (2014), 1163-1195.
  • Motivic functions, integrability, and applications to harmonic analysis on p-adic groups  [published, arxiv]
    with R. Cluckers, J. Gordon; Electron. Res. Announc. Math. Sci., 21 (2014), 137-152.
  • Appendix B of: S.-W. Shin, N. Templier: Sato-Tate theorem for families and low-lying zeros of automorphic L-functions  [published, arxiv]
    with R. Cluckers, J. Gordon; Inventiones mathematicae, 203 (2015), 1-177.
  • Transfer principles for bounds of motivic exponential functions  [published, arxiv]
    with R. Cluckers, J. Gordon; in Proceedings of the Simons Symposium on "Families of automorphic forms and the trace formula", W. Müller, S. W. Shin, and N. Templier, eds., Springer International Publishing, Cham, 2016, 111-127.
  • Integration of functions of motivic exponential class, uniform in all non-archimedean local fields of characteristic zero  [published, arxiv]
    with R. Cluckers; Journal de l'École polytechnique - Mathématiques, 5 (2018), 45-78.
  • Distributions and wave front sets in the uniform non-archimedean setting  [published, arxiv]
    with R. Cluckers, F. Loeser, M. Raibaut; Transactions of the London Mathematical Society, 5 (2018), 97-131.
  • An introduction to motivic integration  [published, arxiv]
    in Lectures in Model Theory, F. Jahnke, D. Palacín, and K. Tent, eds., Münster Lectures in Mathematics, European Mathematical Society (EMS), Zürich, 2018.
  • Uniform analysis on local fields and applications to orbital integrals  [published, arxiv]
    with R. Cluckers, J. Gordon; Trans. Amer. Math. Soc. Ser. B, 5 (2018), 125-166.

Singularities and Stratifications:

  • Trees of definable sets over the p-adics  [published, arxiv]
    J. Reine Angew. Math., 642 (2010), 157-196.
  • Trees of definable sets in p  [web]
    in Proceedings of the conference "Motivic Integration and its interaction with Model Theory and Non-Archimedean Geometry", R. Cluckers, J. Nicaise, and J. Sebag, eds., Cambridge University Press, 2011, 87-107.
  • Non-Archimedean Whitney stratifications  [published, arxiv]
    Proc. Lond. Math. Soc. (3), 109 (2014), 1304-1362.
  • Stratifications in valued fields  [web]
    in Proceedings of the Second International Valuation Theory Conference, EMS Series of Congress Reports, Eur. Math. Soc., 2014, 288-296.
  • Lipschitz stratifications in power-bounded o-minimal fields  [published, arxiv]
    with Y. Yin; J. Eur. Math. Soc. (JEMS), 20 (2018), 2717-2767.

Model Theory and Geometry in Valued Fields:

  • Approximations and Lipschitz continuity in p-adic semi-algebraic and subanalytic geometry  [published, arxiv]
    with R. Cluckers; Selecta Math. (N.S.), (2012), 1-13.
  • A definable henselian valuation with high quantifier complexity  [published, arxiv]
    with F. Jahnke; Math. Log. Quart., 61 (2015), 362-366.
  • Cell decomposition and classification of definable sets in p-optimal fields  [published, arxiv]
    with L. Darnière; Journal of Symbolic Logic, 82 (2017), 120-136.

Other Model Theory:

  • A measure for perfect PAC fields with pro-cyclic Galois group  [published]
    Journal of Algebra, 310 (2007), 371-395.
  • Motives for perfect PAC fields with pro-cyclic Galois group  [published, arxiv]
    J. Symbolic Logic, 73 (2008), 1036-1050.
  • Quantifier elimination in ordered abelian groups  [published, arxiv]
    with R. Cluckers; Confluentes Mathematici, 3 (2011), 587-615.
  • A language for quantifier elimination in ordered abelian groups  [web]
    in Séminaire de Structures Algébriques Ordonnées 2009-2010, F. Delon, M. A. Dickmann, and D. Gondard, eds., vol. 85, Équipe de Logique Mathématique, Paris, 2011, 11 pp.
  • Dimension in topological structures: topological closure and local property  [web]
    with A. Fornasiero; in Groups and Model Theory, vol. 576 of Contemp. Math., Amer. Math. Soc., Providence, RI, 2012, 89-94.
  • Definable sets up to definable bijections in Presburger groups  [published, arxiv]
    with R. Cluckers; Transactions of the London Mathematical Society, 5 (2018), 47-70.

Representation Theory:

  • Untersuchungen zu den Kazhdan-Lusztig-Polynomen und zu dazu passenden Bimoduln  [web]
    2000. Diploma thesis, 56 pp.
  • Kategorielle Langlands-Korrespondenz für die verallgemeinerten Lorentz-Gruppen  [web]
    2005. PhD thesis, 68 pp.
  • Categorical Langlands correspondence for SOn,1()  [published]
    Represent. Theory, 10 (2006), 223-253 (electronic).
  • Kategorielle
    Kategorielle Langlands-Korrespondenz für SO(n,1)
    VDM-Verlag, Saarbrücken, 2008, 60 pp. (monograph version of my dissertation).


  • Achieving snaky  [published]
    with J.-C. Schlage-Puchta; Integers, 7 (2007), G2, 28 pp. (electronic).
  • Some strategies for higher dimensional animal achievement games  [published]
    with J.-C. Schlage-Puchta; Discrete Math., 308 (2008), 3470-3478.
  • Inductive methods and zero-sum free sequences  [published, arxiv]
    with G. Bhowmik, J.-C. Schlage-Puchta; Integers, 9 (2009), A40, 515-536.
  • Lower bounds for q-ary codes with large covering radius  [published]
    with W. Haas, J.-C. Schlage-Puchta; Electron. J. Combin., 16 (2009), Research Paper 133, 21 pp.
  • The structure of maximal zero-sum free sequences  [published, arxiv]
    with G. Bhowmik, J.-C. Schlage-Puchta; Acta Arith., 143 (2010), 21-50.
  • Zero-sum free sets with small sum-set  [published, arxiv]
    with G. Bhowmik, J.-C. Schlage-Puchta; Math. Comp., 80 (2011), 2253-2258.

Publications in Computer Science:

  • CS Freiburg's Participation at RoboCup'98: The World Champions in Robotic Soccer  [web]
    with B. Nebel, W. Hatzack, T. Weigel, J.-S. Gutmann, F. Rittinger, A. Topor; AI Communications, 11 (1998), 243-248.
  • The CS Freiburg Robotic Soccer Team: Reliable Self-Localization, Multirobot Sensor Integration, and Basic Soccer Skills  [web]
    with J.-S. Gutmann, W. Hatzack, B. Nebel, F. Rittinger, A. Topor, T. Weigel; in RoboCup-98: Robot Soccer World Cup II, M. Asada and H. Kitano, eds., Springer-Verlag, Berlin, Heidelberg, New York, 1999, 93-108.
  • Pinning balloons with perfect angles and optimal area  [published, arxiv]
    with A. Schulz; J. Graph Algorithms Appl., 16 (2012), 847-870.

Non-Scientific Publications:

  • Nazo Nazo Sudoku, meisterhaft 2
    Nazo Nazo. Das große Buch der japanischen Zahlenrätsel
    with B. Seckinger; Fischer Taschenbuch Verlag, Frankfurt, 2006.
  • Sudoku, meisterhaft 2. Alle Rätsel der zweiten deutschen Sudokumeisterschaft
    with S. Heine, B. Seckinger; Presse Service Heine, 2007.
  • Neue Bücher aus Oberwolfach  [published]
    Mitteilungen der DMV, 21.1 (2013), 8-8.
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