AG Numerik

Dr.  Marc Hovemann

Philipps-Universität
Fachbereich Mathematik und Informatik
AG Numerik und Optimierung

Hans-Meerwein-Straße
Lahnberge
35032 Marburg

Raum: Ebene D6 - 22 (06D22)
Telefon: +49 (0) 6421/28-25459
E-Mail: hovemann@mathematik (.uni-marburg.de)

Research Interests:

  • quarklet characterizations for function spaces
  • adaptive quarklet tree approximation
  • quarklets as multiwavelets
  • function spaces (especially Besov-type and Triebel-Lizorkin-type spaces)
  • equivalent quasi-norms for function spaces
  • characterizations for function spaces in terms of higher-order differences
  • Hedberg-Netrusov approach to function spaces
  • interpolation and composition operators

PhD Thesis:

  • M. Hovemann: Smoothness Morrey Spaces and Differences: Characterizations and Applications
    (Supervisor: Prof. W. Sickel, 2021) [PDF]

Publications and Preprints:

  • M. Hovemann, W. Sickel: Besov-type spaces and differences.
    Eurasian Math. J.13(1), 25-56, 2020. [PDF]
  • M. Hovemann: Triebel-Lizorkin-Morrey Spaces and Differences.
    Math. Nachr. 2022; 1-37. [PDF]
  • C. Zhuo, M. Hovemann, W. Sickel: Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains.
    Anal. Geom. Metr. Spaces, 8, 268-304, 2020. [PDF]
  • M. Hovemann: Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces.
    Nonlinear Anal., 204, 112239, 2021. [PDF]
  • M. Hovemann: Besov-Morrey spaces and differences.
    Math. Rep. (Bucur.), 23(73), No. 1-2, 175-192. [PDF]
  • M. Hovemann: Besov-Morrey spaces and differences (extended version).
    arXiv:2010.10856 [PDF]
  • M. Hovemann, S. Dahlke: Quarklet Characterizations for Triebel-Lizorkin spaces.
    arXiv:2112.06010 [PDF]

Awards and Funding :

  • Auszeichnung für herausragende Leistungen als Übungsleiter für das Fach Analysis 2
    ( 20.11.2020 , FSU Jena , verliehen von der Physikalisch-Astronomischen Fakultät )
  • Landesgraduiertenstipendium der FSU Jena
    ( 1.3.2018 - 28.2.2021 , zur Erstellung der Promotion )
  • Examenspreis des Dekans 2018
    ( 2.11.2018 , FSU Jena , wegen der Masterarbeit "Strichartz-Charakterisierungen von F^s_{p,q}" )

Talks (in Seminars or Conferences):

  • Quarklet Characterizations for Triebel-Lizorkin Spaces
    ( 6.10.2022 , International Conference on Function Spaces and Applications , Apolda )
  • Adaptive near-best Quarklet Tree Approximation
    ( 1.8.2022 , Siegmundsburg seminar )
  • B-Spline Quarklets and their Connections to the Theory of biorthogonal Multiwavelets
    ( 15.7.2022 , function spaces seminar Jena )
  • Quarklets and their Connections to the Theory of biorthogonal Multiwavelets
    ( 6.7.2022 , Oberseminar zur Numerik und Optimierung Marburg )
  • Poster: "Quarklet Characterizations for Triebel-Lizorkin spaces"
    ( 23.6.2022 , Conference "Applied Harmonic Analysis and Friends", Strobl, Austria )
  • Triebel-Lizorkin-Morrey Spaces and Differences: Characterizations and Applications
    ( 3.3.2022 , Ruhr-Universität Bochum, Research Seminar Numerical Analysis )
  • Quarklet Characterizations for Triebel-Lizorkin Spaces
    ( 2.2.2022 , Oberseminar zur Numerik und Optimierung Marburg )
  • Quarklet Characterizations for Triebel-Lizorkin Spaces
    ( 31.8.2021 , Siegmundsburg seminar )
  • Quarklet Characterizations for Triebel-Lizorkin and Triebel-Lizorkin-Morrey Spaces
    ( 2.7.2021 , function spaces seminar Jena )
  • Quarklet Characterizations for Triebel-Lizorkin Spaces
    ( 16.6.2021 , Oberseminar zur Numerik und Optimierung Marburg )
  • Triebel-Lizorkin-Morrey spaces and differences: characterizations and applications
    ( 16.12.2020 , Oberseminar zur Numerik und Optimierung Marburg )
  • Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces
    ( 10.7.2020 , function spaces seminar Jena )
  • Besov-Morrey spaces and truncations - an introduction
    ( 12.2.2020 , function spaces seminar Jena )
  • Besov-Morrey spaces and differences
    ( 27.1.2020 , PhD seminar Jena )
  • Besov-Morrey spaces and differences
    ( 26.8.2019 , Siegmundsburg seminar )
  • Triebel-Lizorkin-Morrey spaces and differences
    ( 14.6.2019 , FSDONA, Turku, Finnland )
  • Triebel-Lizorkin-Morrey spaces and differences: necessary conditions
    ( 18.1.2019 , function spaces seminar Jena )
  • Triebel-Lizorkin-Morrey spaces and differences: sufficient conditions
    ( 11.1.2019 , function spaces seminar Jena )
  • Triebel-Lizorkin-Morrey spaces and differences
    ( 23.11.2018 , The Prague seminar on function spaces )
  • Strichartz-Charakterisierungen von F^{s}_{p,q}
    ( 24.7.2018 , Siegmundsburg seminar )
  • Characterizations of Triebel-Lizorkin spaces by differences
    ( 14.5.2018 , PhD seminar Jena )

Short CV:

  • since 6/2021 : Postdoc at the Philipps-Universität Marburg
    (Workgroup Numerics, DFG project "adaptive high-order quarklet frame methods for elliptic operator equations")
  • 3/2018 - 5/2021 : Dr. rer. nat. in Mathematics at the Friedrich-Schiller-University Jena
    ( summa cum laude )
  • 2015 - 2017 : M. Sc. in Mathematics at the Friedrich-Schiller-University Jena
    (final mark : 1,0 ) (Examenspreis of the dean of the department of mathematics and computer science)
  • 2012 - 2015 : B. Sc. in Mathematics at the Friedrich-Schiller-University Jena
  • 2002 - 2010 : Abitur at the Friedrich-Schiller-Gymnasium Eisenberg
    (final mark : 1,0)
  • 22.06.1991 : born in Speyer (Germany)

Teaching (past semesters, FSU Jena)

  • Exercise Analysis 2
    (B.Sc. Mathematik , summer term 2020)
  • Exercise Analysis 1
    (B.Sc. Mathematik , winter term 2019/2020)
  • Exercise Numerische Mathematik
    (B.Sc. Informatik , summer term 2019)
  • Exercise Mathematik 1
    (B.Sc. Werkstoffwissenschaften , winter term 2018/2019)
  • Exercise Analysis 2
    (Lehramt Gymnasium , summer term 2018)
  • Exercise Mathematik 1
    (B.Sc. Werkstoffwissenschaften , winter term 2017/2018)
  • Exercise Analysis 1
    (Lehramt Gymnasium , winter term 2017/2018)
  • Tutorial Numerische Mathematik
    (B.Sc. Informatik , summer term 2017)

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