Dr. Marc Hovemann
Philipps-Universität
Fachbereich Mathematik und Informatik
AG Numerik und Optimierung
Hans-Meerwein-Straße
Lahnberge
35032 Marburg
Raum: |
Ebene D6 - 18 (06D18) |
Telefon: |
+49 (0) 6421/28-25459 |
E-Mail: |
hovemann@mathematik (.uni-marburg.de) |
Important note: This website will not be updated after 1.9.2024 anymore. Please visit my new website.
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:
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M. Hovemann: Smoothness Morrey Spaces and Differences: Characterizations and Applications
(Supervisor: Prof. W. Sickel, 2021) [PDF]
Publications and Preprints:
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M. Hovemann, M. Weimar: Oscillations and differences in Besov-Morrey and Besov-type spaces.
arXiv:2405.20662 [PDF]
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M. Hovemann: Quarklet Characterizations for bivariate Bessel-Potential Spaces on the Unit Square via Tensor Products.
arXiv:2403.14388 [PDF]
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M. Hovemann, M. Weimar: Oscillations and differences in Triebel-Lizorkin-Morrey spaces.
Rev. Mat. Complut. [PDF]
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S. Dahlke, M. Hovemann, T. Raasch, D. Vogel: Adaptive Quarklet Tree Approximation.
arXiv:2301.04111 [PDF]
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M. Hovemann, A. Kopsch, T. Raasch, D. Vogel: B-Spline Quarklets and Biorthogonal Multiwavelets.
Int. J. Wavelets Multiresolut. Inf. Process. , published online. [PDF]
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M. Hovemann, S. Dahlke: Quarklet Characterizations for Triebel-Lizorkin spaces.
J. Approx. Theory 295, 105968, 2023. [PDF]
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M. Hovemann: Triebel-Lizorkin-Morrey Spaces and Differences.
Math. Nachr. 295, 725-761, 2022. [PDF]
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M. Hovemann: Besov-Morrey spaces and differences.
Math. Rep. (Bucur.), 23(73), No. 1-2, 175-192, 2021. [PDF]
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M. Hovemann: Besov-Morrey spaces and differences (extended version).
arXiv:2010.10856 [PDF]
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M. Hovemann: Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces.
Nonlinear Anal., 204, 112239, 2021. [PDF]
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M. Hovemann, W. Sickel: Besov-type spaces and differences.
Eurasian Math. J.13(1), 25-56, 2020. [PDF]
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C. Zhuo, M. Hovemann, W. Sickel: Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains.
Anal. Geom. Metr. Spaces, 8, 268-304, 2020. [PDF]
Awards and Funding :
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DFG Project "Adaptive Quarklet Methods for the numerical Solution of Elliptic Partial Differential Equations with exponential Convergence"
( since 1.9.2023 )
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Promotionspreis des Dekans 2022
( 13.1.2023 , FSU Jena)
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Auszeichnung für herausragende Leistungen als Übungsleiter für das Fach Analysis 2
( 20.11.2020 , FSU Jena , verliehen von der Physikalisch-Astronomischen Fakultät )
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Landesgraduiertenstipendium der FSU Jena
( 1.3.2018 - 28.2.2021 , zur Erstellung der Promotion )
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Examenspreis des Dekans 2018
( 2.11.2018 , FSU Jena , wegen der Masterarbeit "Strichartz-Charakterisierungen von F^s_{p,q}" )
Talks (in Seminars or Conferences):
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Quarklet Characterizations for bivariate Bessel-Potential Spaces on the Unit Square via Tensor Products
( 31.5.2024 , function spaces seminar Jena )
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Multivariate Quarklets in the Context of Bessel-Potential Spaces on Unit Cubes
( 9.2.2024 , Rhein-Ruhr-Workshop , Bestwig )
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Poster: "Adaptive near-best Quarklet Tree Approximation"
( 26.9.2023 , Two-day workshop on Approximation Theory , Giessen )
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Triebel-Lizorkin-Morrey Spaces and Oscillations
( 28.8.2023 , Siegmundsburg seminar )
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Triebel-Lizorkin-Morrey Spaces and Oscillations
( 2.6.2023 , function spaces seminar Jena )
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Adaptive near-best Quarklet Tree Approximation
( 10.2.2023 , Rhein-Ruhr-Workshop , Bestwig )
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Quarklet Characterizations for Triebel-Lizorkin Spaces
( 6.10.2022 , International Conference on Function Spaces and Applications , Apolda )
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Adaptive near-best Quarklet Tree Approximation
( 1.8.2022 , Siegmundsburg seminar )
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B-Spline Quarklets and their Connections to the Theory of biorthogonal Multiwavelets
( 15.7.2022 , function spaces seminar Jena )
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Quarklets and their Connections to the Theory of biorthogonal Multiwavelets
( 6.7.2022 , Oberseminar zur Numerik und Optimierung Marburg )
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Poster: "Quarklet Characterizations for Triebel-Lizorkin spaces"
( 23.6.2022 , Conference "Applied Harmonic Analysis and Friends", Strobl, Austria )
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Triebel-Lizorkin-Morrey Spaces and Differences: Characterizations and Applications
( 3.3.2022 , Ruhr-Universität Bochum, Research Seminar Numerical Analysis )
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Quarklet Characterizations for Triebel-Lizorkin Spaces
( 2.2.2022 , Oberseminar zur Numerik und Optimierung Marburg )
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Quarklet Characterizations for Triebel-Lizorkin Spaces
( 31.8.2021 , Siegmundsburg seminar )
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Quarklet Characterizations for Triebel-Lizorkin and Triebel-Lizorkin-Morrey Spaces
( 2.7.2021 , function spaces seminar Jena )
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Quarklet Characterizations for Triebel-Lizorkin Spaces
( 16.6.2021 , Oberseminar zur Numerik und Optimierung Marburg )
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Triebel-Lizorkin-Morrey spaces and differences: characterizations and applications
( 16.12.2020 , Oberseminar zur Numerik und Optimierung Marburg )
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Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces
( 10.7.2020 , function spaces seminar Jena )
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Besov-Morrey spaces and truncations - an introduction
( 12.2.2020 , function spaces seminar Jena )
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Besov-Morrey spaces and differences
( 27.1.2020 , PhD seminar Jena )
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Besov-Morrey spaces and differences
( 26.8.2019 , Siegmundsburg seminar )
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Triebel-Lizorkin-Morrey spaces and differences
( 14.6.2019 , FSDONA, Turku, Finnland )
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Triebel-Lizorkin-Morrey spaces and differences: necessary conditions
( 18.1.2019 , function spaces seminar Jena )
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Triebel-Lizorkin-Morrey spaces and differences: sufficient conditions
( 11.1.2019 , function spaces seminar Jena )
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Triebel-Lizorkin-Morrey spaces and differences
( 23.11.2018 , The Prague seminar on function spaces )
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Strichartz-Charakterisierungen von F^{s}_{p,q}
( 24.7.2018 , Siegmundsburg seminar )
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Characterizations of Triebel-Lizorkin spaces by differences
( 14.5.2018 , PhD seminar Jena )
Short CV:
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since 9/2023 : Principal Investigator at the Philipps-Universität Marburg
(Workgroup Numerics, DFG project "Adaptive Quarklet Methods for the numerical Solution of Elliptic Partial Differential Equations with exponential Convergence")
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6/2021 - 5/2023 : Postdoc at the Philipps-Universität Marburg
(Workgroup Numerics, DFG project "adaptive high-order quarklet frame methods for elliptic operator equations")
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3/2018 - 5/2021 : Dr. rer. nat. in Mathematics at the Friedrich-Schiller-University Jena
( summa cum laude )
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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)
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2012 - 2015 : B. Sc. in Mathematics at the Friedrich-Schiller-University Jena
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2002 - 2010 : Abitur at the Friedrich-Schiller-Gymnasium Eisenberg
(final mark : 1,0)
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22.06.1991 : born in Speyer (Germany)
Teaching (past semesters, Jena and Marburg)
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Lecture Nonlinear Optimization
(M.Sc. Mathematik , summer term 2023)
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Exercise Analysis 2
(B.Sc. Mathematik , summer term 2020)
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Exercise Analysis 1
(B.Sc. Mathematik , winter term 2019/2020)
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Exercise Numerische Mathematik
(B.Sc. Informatik , summer term 2019)
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Exercise Mathematik 1
(B.Sc. Werkstoffwissenschaften , winter term 2018/2019)
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Exercise Analysis 2
(Lehramt Gymnasium , summer term 2018)
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Exercise Mathematik 1
(B.Sc. Werkstoffwissenschaften , winter term 2017/2018)
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Exercise Analysis 1
(Lehramt Gymnasium , winter term 2017/2018)
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Tutorial Numerische Mathematik
(B.Sc. Informatik , summer term 2017)
Some Links
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