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  1. Ansatte

Språkvelger

English

Alexander Schmeding

Last ned pressefoto
Last ned pressefoto
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Alexander Schmeding

Førsteamanuensis
Institutt for matematiske fag

alexander.schmeding@ntnu.no
1338 Sentralbygg 2 Gløshaugen, Trondheim
ResearchGate ArXiv publications
Om Forskning Publikasjoner Undervisning Formidling

Om

Jeg er matematiker og forsker på uendeligdimensjonal differensialgeometri, Lie teori og anvendelser av disse fagområdene. Jeg arbeider med både ren og anvendt matematikk og er dessuten interessert i matematikkdidaktikk, særlig innen høyere utdanning og lærerutdanning.

Jeg er studieprogramleder for MLREAL.

Bakgrunn

Jeg tok doktorgraden min i uendeligdimensjonal Lie-teori ved Universitetet i Paderborn i Tyskland i 2013. Ved samme universitet fullførte jeg tidligere et diplomstudium i matematikk, tilsvarende en mastergrad, samt en lærerutdanning i matematikk og historie.

Etter doktorgraden arbeidet jeg som postdoktor ved NTNU og TU Berlin og som midlertidig førsteamanuensis ved Universitetet i Bergen. Før jeg begynte ved NTNU, var jeg førsteamanuensis ved Nord universitet i Levanger, hvor jeg arbeidet i lærerutdanningen i flere år.

Kompetanseord

  • Lie theory
  • didactics of mathematics
  • infinite-dimensional differential geometry

Forskning

My research centers around infinite-dimensional differential geometry, Lie theory and their applications. Infinite-dimensional Lie groups arise naturally for example in the theory of hydrodynamics. The flow of a fluid particle (under periodic boundary conditions) can be modelled as a curve taking values in the group of volume preserving diffeomorphism on the torus. The resulting curve turns out to be connected to Riemannian geometry on the infinite-dimensional Lie group of volume preserving diffeomorphisms. Hence infinite-dimensional geometric tools and insights can be used to study flows in hydrodynamics. This example shows one of the subtle connections between finite and infinite-dimensional geometry I am interested in. 

Beyond research in geometry, I am also interested in questions connected to the didactics of mathematics related to higher education at the university level and teacher education. 

 

Research interests (mathematics)

  • Lie groups of diffeomorphisms
  • Lie groupoids and their representations
  • manifolds of mappings
  • (weak) Riemannian geometry on infinite-dimensional spaces
  • Interactions of differential geometry with rough path theory and Hopf algebras
  • Applications of the above (e.g. Geometric hydrodynamics and shape analysis)

 

Research interests (didactics of mathematics)

  • programming in mathematics textbooks for norwegian schools
  • peer- and self-evaluation activities in higher education

CODYSMA project

The project CODYSMA: Computational Dynamics and Stochastics on Manifolds is a five year project which started January 1st, 2020 supported by the Norwegian Research Council through the program FRIPRO.

Lie groups and manifolds of non-smooth mappings

We propose to construct and study Lie groups of paths of bounded variation with values in a Lie group. The driving motivation comes from the theory of rough paths. Rough path theory provides a fresh look at differential equations driven by rough signals.

Publikasjoner

An Introduction to Infinite-Dimensional Differential Geometry

Introducing foundational concepts in infinite-dimensional differential geometry, this book focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak Riemannian geometry. Available as Open Access.

Errata for "An Introduction to infinite-dimensional Differential Geometry"

Unfortunately, no publication without errors. Here is a list of all known errata for the book on infinite-dimensional geometry by CUP.

Nesten alle de matematiske publikasjonene mine er tilgjengelige på arXiv. En grunnleggende innføring i forskningen min finnes i boken «An Introduction to Infinite-Dimensional Differential Geometry». Boken er utgitt med åpen tilgang av Cambridge University Press.

For artikler innen matematikkdidaktikk, se profilen min på ResearchGate.

  • Kronologisk
  • Etter kategori
  • Alle publikasjoner i Nasjonalt vitenarkiv (NVA)

2026

  • Brzezniak, Zdzisław; Maurelli, Mario; Schmeding, Alexander. (2026) The Ebin-Marsden toolbox for stochastic PDEs: stochastic Euler equations. Stochastics and Partial Differential Equations: Analysis and Computations
    Vitenskapelig artikkel
  • Prinz, David; Schmeding, Alexander; Schwartz, Philip K.. (2026) Group contractions via infinite-dimensional Lie theory. Journal of Geometry and Physics
    Vitenskapelig artikkel
  • Glöckner, Helge; Grong, Erlend; Schmeding, Alexander. (2026) Boundary values of diffeomorphisms of simple polytopes, and controllability. Differential geometry and its applications
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2026) Max Hoffmann, Joachim Hilgert, Tobias Weich: „Ebene euklidische Geometrie.“. Mathematische Semesterberichte
    Bokanmeldelse

2025

  • Glöckner, Helge; Schmeding, Alexander; Suri, Ali. (2025) Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. Geometric Mechanics
    Vitenskapelig artikkel
  • Kristel, Peter; Schmeding, Alexander. (2025) The Stacey–Roberts Lemma for Banach Manifolds. SIGMA. Symmetry, Integrability and Geometry
    Vitenskapelig artikkel
  • Varzaneh, Mazyar Ghani; Riedel, Sebastian; Schmeding, Alexander; Tapia, Nikolas. (2025) The geometry of controlled rough paths. Stochastic Processes and their Applications
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2025) Erratum for "A Differentiable Monoid of Smooth Maps on Lie Groupoids". Journal of Lie theory
    Korrigendum
  • Chirvasitu, Alexandru; Dahmen, Rafael; Neeb, Karl-Hermann; Schmeding, Alexander. (2025) On the singularities of the exponential function of a semidirect product. Classical and Quantum Gravity
    Vitenskapelig artikkel

2024

  • Gray, W. Steven; Ebrahimi-Fard, Kurusch; Schmeding, Alexander. (2024) Decompositions of nonlinear input–output systems to zero the output. Systems & control letters (Print)
    Vitenskapelig artikkel
  • Dahmen, Rafael; Paycha, Sylvie; Schmeding, Alexander. (2024) A topological splitting of the space of meromorphic germs in several variables and continuous evaluators. Complex Analysis and its Synergies
    Vitenskapelig artikkel
  • Grong, Erlend; Schmeding, Alexander. (2024) Controllability and diffeomorphism groups on manifolds with boundary. Forum mathematicum
    Vitenskapelig artikkel
  • Gray, W Steven; Pham, Natalie; Schmeding, Alexander. (2024) Distributional Generating Series in Nonlinear Control Theory.
    Vitenskapelig kapittel
  • Fleischmann, Silvie Yael Girlani; Julien, Antoine Laurent Christophe; Schmeding, Alexander. (2024) Peer assessment in an undergraduate geometry course: Fostering proof competency in teacher students.
    Vitenskapelig kapittel

2023

  • Gray, W. Steven; Ebrahimi-Fard, Kurusch; Schmeding, Alexander. (2023) Zeroing the Output of Nonlinear Systems Without Relative Degree.
    Vitenskapelig kapittel
  • Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen Nilsen; Schmeding, Alexander. (2023) Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Jensen, Mari Solberg; Julien, Antoine Laurent Christophe; Rafiepour, Abolfazl; Schmeding, Alexander. (2023) An analytical framework for programming tasks in mathematics textbooks.
    Vitenskapelig kapittel
  • Schmeding, Alexander. (2023) On the unit component of the Newman-Unti group. Classical and Quantum Gravity
    Vitenskapelig artikkel
  • Jensen, Mari Solberg; Schmeding, Alexander. (2023) Jupyter notatbok i programmering. Tangenten - Tidsskrift for matematikkundervisning
    Fagartikkel
  • Maurelli, Mario; Modin, Klas; Schmeding, Alexander. (2023) Incompressible Euler equations with stochastic forcing: A geometric approach. Stochastic Processes and their Applications
    Vitenskapelig artikkel

2022

  • Prinz, David Nicolas; Schmeding, Alexander. (2022) Lie theory for asymptotic symmetries in general relativity: The NU group. Classical and Quantum Gravity
    Vitenskapelig artikkel
  • Glöckner, Helge; Schmeding, Alexander. (2022) Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry
    Vitenskapelig artikkel
  • Julien, Antoine Laurent Christophe; Romijn, Elisabeth Inge; Schmeding, Alexander. (2022) Peer and self-assessment to improve mathematics competence in pre-service middle-school teachers.
    Vitenskapelig kapittel
  • Prinz, David Nicolas; Schmeding, Alexander. (2022) Lie theory for asymptotic symmetries in general relativity: The BMS Group. Classical and Quantum Gravity
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2022) An Introduction to Infinite-Dimensional Differential Geometry. Cambridge University Press
    Vitenskapelig monografi
  • Gray, W. Steven; Palmstrøm, Mathias; Schmeding, Alexander. (2022) Continuity of Formal Power Series Products in Nonlinear Control Theory. Foundations of Computational Mathematics
    Vitenskapelig artikkel
  • Grong, Erlend; Nilssen, Torstein; Schmeding, Alexander. (2022) Geometric rough paths on infinite dimensional spaces. Journal of Differential Equations
    Vitenskapelig artikkel

2021

  • Ebrahimi-Fard, Kurusch; Gray, W. Steven; Schmeding, Alexander. (2021) Universal Zero Dynamics: The SISO Case. IEEE (Institute of Electrical and Electronics Engineers)
    Forskningsrapport
  • Schmeding, Alexander. (2021) Algebra is Geometry is Algebra – Interactions Between Hopf Algebras, Infinite Dimensional Geometry and Application.
    Vitenskapelig kapittel
  • Schmeding, Alexander. (2021) Applications of infinite-dimensional geometry and Lie theory Habilitationsschrift. Technische Universität Berlin
    Doktoravhandling
  • Roberts, David M.; Schmeding, Alexander. (2021) Extending Whitney's extension theorem: nonlinear function spaces. Annales de l'Institut Fourier
    Vitenskapelig artikkel
  • Dahmen, Rafael; Gray, W. Steven; Schmeding, Alexander. (2021) Continuity of Chen-Fliess Series for Applications in System Identification and Machine Learning. IFAC-PapersOnLine
    Vitenskapelig artikkel

2020

  • Schmeding, Alexander; Amiri, Habib; Glöckner, Helge. (2020) Lie groupoids of mappings taking values in a Lie groupoid. Archivum Mathematicum
    Vitenskapelig artikkel
  • Schmeding, Alexander; Dahmen, Rafael. (2020) Lie groups of controlled characters of combinatorial Hopf algebras. Annales de l’Institut Henri Poincaré D (AIHPD)
    Vitenskapelig artikkel

2019

  • Amiri, Habib; Schmeding, Alexander. (2019) A Differentiable Monoid of Smooth Maps on Lie Groupoids. Journal of Lie theory
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2019) The Lie group of vertical bisections of a regular Lie groupoid. Forum mathematicum
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Schmeding, Alexander. (2019) Convergence of Lie group integrators. Numerische Mathematik
    Vitenskapelig artikkel

2018

  • Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander. (2018) Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia
    Vitenskapelig artikkel
  • Bogfjellmo, Geir; Schmeding, Alexander. (2018) The geometry of characters of hopf algebras. Abel Symposia
    Vitenskapelig artikkel

2017

  • Bogfjellmo, Geir; Schmeding, Alexander. (2017) The Lie Group Structure of the Butcher Group. Foundations of Computational Mathematics
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS)
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017
    Konferanseabstract

2016

  • Schmeding, Alexander; Wockel, Christoph. (2016) Functorial aspects of the reconstruction of Lie groupoids from their bisections. Journal of the Australian Mathematical Society
    Vitenskapelig artikkel
  • Bogfjellmo, Geir; Schmeding, Alexander. (2016) The tame Butcher group. Journal of Lie theory
    Vitenskapelig artikkel
  • Schmeding, Alexander; Wockel, Christoph. (2016) (Re)constructing Lie groupoids from their bisections and applications to prequantisation. Differential geometry and its applications
    Vitenskapelig artikkel
  • Schmeding, Alexander; Hjelle, Eivind Otto. (2016) Strong topologies for spaces of smooth maps with infinite-dimensional target. Expositiones mathematicae
    Vitenskapelig artikkel
  • Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM)
    Vitenskapelig artikkel
  • Bogfjellmo, Geir; Dahmen, Rafael; Schmeding, Alexander. (2016) Character groups of Hopf algebras as infinite-dimensional Lie groups. Annales de l'Institut Fourier
    Vitenskapelig artikkel

2015

  • Dahmen, Rafael; Schmeding, Alexander. (2015) The Lie group of real analytic diffeomorphisms is not real analytic. Studia Mathematica
    Vitenskapelig artikkel
  • Schmeding, Alexander; Alzaareer, Hamza. (2015) Differentiable mappings on products with different degrees of differentiability in the two factors. Expositiones mathematicae
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2015) The diffeomorphism group of a non-compact orbifold. Dissertationes Mathematicae
    Vitenskapelig artikkel
  • Schmeding, Alexander; Wockel, Christoph. (2015) The Lie group of bisections of a Lie groupoid. Annals of Global Analysis and Geometry
    Vitenskapelig artikkel

Tidsskriftspublikasjoner

  • Brzezniak, Zdzisław; Maurelli, Mario; Schmeding, Alexander. (2026) The Ebin-Marsden toolbox for stochastic PDEs: stochastic Euler equations. Stochastics and Partial Differential Equations: Analysis and Computations
    Vitenskapelig artikkel
  • Prinz, David; Schmeding, Alexander; Schwartz, Philip K.. (2026) Group contractions via infinite-dimensional Lie theory. Journal of Geometry and Physics
    Vitenskapelig artikkel
  • Glöckner, Helge; Grong, Erlend; Schmeding, Alexander. (2026) Boundary values of diffeomorphisms of simple polytopes, and controllability. Differential geometry and its applications
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2026) Max Hoffmann, Joachim Hilgert, Tobias Weich: „Ebene euklidische Geometrie.“. Mathematische Semesterberichte
    Bokanmeldelse
  • Glöckner, Helge; Schmeding, Alexander; Suri, Ali. (2025) Manifolds of continuous BV-functions and vector measure regularity of Banach–Lie groups. Geometric Mechanics
    Vitenskapelig artikkel
  • Dahmen, Rafael; Schmeding, Alexander. (2015) The Lie group of real analytic diffeomorphisms is not real analytic. Studia Mathematica
    Vitenskapelig artikkel
  • Bogfjellmo, Geir; Schmeding, Alexander. (2017) The Lie Group Structure of the Butcher Group. Foundations of Computational Mathematics
    Vitenskapelig artikkel
  • Prinz, David Nicolas; Schmeding, Alexander. (2022) Lie theory for asymptotic symmetries in general relativity: The NU group. Classical and Quantum Gravity
    Vitenskapelig artikkel
  • Gray, W. Steven; Ebrahimi-Fard, Kurusch; Schmeding, Alexander. (2024) Decompositions of nonlinear input–output systems to zero the output. Systems & control letters (Print)
    Vitenskapelig artikkel
  • Schmeding, Alexander; Alzaareer, Hamza. (2015) Differentiable mappings on products with different degrees of differentiability in the two factors. Expositiones mathematicae
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2015) The diffeomorphism group of a non-compact orbifold. Dissertationes Mathematicae
    Vitenskapelig artikkel
  • Dahmen, Rafael; Paycha, Sylvie; Schmeding, Alexander. (2024) A topological splitting of the space of meromorphic germs in several variables and continuous evaluators. Complex Analysis and its Synergies
    Vitenskapelig artikkel
  • Glöckner, Helge; Schmeding, Alexander. (2022) Manifolds of mappings on Cartesian products. Annals of Global Analysis and Geometry
    Vitenskapelig artikkel
  • Grong, Erlend; Schmeding, Alexander. (2024) Controllability and diffeomorphism groups on manifolds with boundary. Forum mathematicum
    Vitenskapelig artikkel
  • Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen Nilsen; Schmeding, Alexander. (2023) Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics
    Vitenskapelig artikkel
  • Prinz, David Nicolas; Schmeding, Alexander. (2022) Lie theory for asymptotic symmetries in general relativity: The BMS Group. Classical and Quantum Gravity
    Vitenskapelig artikkel
  • Gray, W. Steven; Palmstrøm, Mathias; Schmeding, Alexander. (2022) Continuity of Formal Power Series Products in Nonlinear Control Theory. Foundations of Computational Mathematics
    Vitenskapelig artikkel
  • Kristel, Peter; Schmeding, Alexander. (2025) The Stacey–Roberts Lemma for Banach Manifolds. SIGMA. Symmetry, Integrability and Geometry
    Vitenskapelig artikkel
  • Varzaneh, Mazyar Ghani; Riedel, Sebastian; Schmeding, Alexander; Tapia, Nikolas. (2025) The geometry of controlled rough paths. Stochastic Processes and their Applications
    Vitenskapelig artikkel
  • Schmeding, Alexander; Wockel, Christoph. (2016) Functorial aspects of the reconstruction of Lie groupoids from their bisections. Journal of the Australian Mathematical Society
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS)
    Vitenskapelig artikkel
  • Bogfjellmo, Geir; Schmeding, Alexander. (2016) The tame Butcher group. Journal of Lie theory
    Vitenskapelig artikkel
  • Amiri, Habib; Schmeding, Alexander. (2019) A Differentiable Monoid of Smooth Maps on Lie Groupoids. Journal of Lie theory
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2019) The Lie group of vertical bisections of a regular Lie groupoid. Forum mathematicum
    Vitenskapelig artikkel
  • Curry, Charles Henry Alexander; Schmeding, Alexander. (2019) Convergence of Lie group integrators. Numerische Mathematik
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2025) Erratum for "A Differentiable Monoid of Smooth Maps on Lie Groupoids". Journal of Lie theory
    Korrigendum
  • Schmeding, Alexander; Wockel, Christoph. (2016) (Re)constructing Lie groupoids from their bisections and applications to prequantisation. Differential geometry and its applications
    Vitenskapelig artikkel
  • Roberts, David M.; Schmeding, Alexander. (2021) Extending Whitney's extension theorem: nonlinear function spaces. Annales de l'Institut Fourier
    Vitenskapelig artikkel
  • Dahmen, Rafael; Gray, W. Steven; Schmeding, Alexander. (2021) Continuity of Chen-Fliess Series for Applications in System Identification and Machine Learning. IFAC-PapersOnLine
    Vitenskapelig artikkel
  • Schmeding, Alexander; Amiri, Habib; Glöckner, Helge. (2020) Lie groupoids of mappings taking values in a Lie groupoid. Archivum Mathematicum
    Vitenskapelig artikkel
  • Schmeding, Alexander. (2023) On the unit component of the Newman-Unti group. Classical and Quantum Gravity
    Vitenskapelig artikkel
  • Jensen, Mari Solberg; Schmeding, Alexander. (2023) Jupyter notatbok i programmering. Tangenten - Tidsskrift for matematikkundervisning
    Fagartikkel
  • Schmeding, Alexander; Hjelle, Eivind Otto. (2016) Strong topologies for spaces of smooth maps with infinite-dimensional target. Expositiones mathematicae
    Vitenskapelig artikkel
  • Chirvasitu, Alexandru; Dahmen, Rafael; Neeb, Karl-Hermann; Schmeding, Alexander. (2025) On the singularities of the exponential function of a semidirect product. Classical and Quantum Gravity
    Vitenskapelig artikkel
  • Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM)
    Vitenskapelig artikkel
  • Schmeding, Alexander; Dahmen, Rafael. (2020) Lie groups of controlled characters of combinatorial Hopf algebras. Annales de l’Institut Henri Poincaré D (AIHPD)
    Vitenskapelig artikkel
  • Grong, Erlend; Nilssen, Torstein; Schmeding, Alexander. (2022) Geometric rough paths on infinite dimensional spaces. Journal of Differential Equations
    Vitenskapelig artikkel
  • Bogfjellmo, Geir; Dahmen, Rafael; Schmeding, Alexander. (2016) Character groups of Hopf algebras as infinite-dimensional Lie groups. Annales de l'Institut Fourier
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander. (2018) Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia
    Vitenskapelig artikkel
  • Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander. (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017
    Konferanseabstract
  • Bogfjellmo, Geir; Schmeding, Alexander. (2018) The geometry of characters of hopf algebras. Abel Symposia
    Vitenskapelig artikkel
  • Maurelli, Mario; Modin, Klas; Schmeding, Alexander. (2023) Incompressible Euler equations with stochastic forcing: A geometric approach. Stochastic Processes and their Applications
    Vitenskapelig artikkel
  • Schmeding, Alexander; Wockel, Christoph. (2015) The Lie group of bisections of a Lie groupoid. Annals of Global Analysis and Geometry
    Vitenskapelig artikkel

Bøker

  • Schmeding, Alexander. (2022) An Introduction to Infinite-Dimensional Differential Geometry. Cambridge University Press
    Vitenskapelig monografi

Del av bok/rapport

  • Gray, W. Steven; Ebrahimi-Fard, Kurusch; Schmeding, Alexander. (2023) Zeroing the Output of Nonlinear Systems Without Relative Degree.
    Vitenskapelig kapittel
  • Julien, Antoine Laurent Christophe; Romijn, Elisabeth Inge; Schmeding, Alexander. (2022) Peer and self-assessment to improve mathematics competence in pre-service middle-school teachers.
    Vitenskapelig kapittel
  • Gray, W Steven; Pham, Natalie; Schmeding, Alexander. (2024) Distributional Generating Series in Nonlinear Control Theory.
    Vitenskapelig kapittel
  • Jensen, Mari Solberg; Julien, Antoine Laurent Christophe; Rafiepour, Abolfazl; Schmeding, Alexander. (2023) An analytical framework for programming tasks in mathematics textbooks.
    Vitenskapelig kapittel
  • Schmeding, Alexander. (2021) Algebra is Geometry is Algebra – Interactions Between Hopf Algebras, Infinite Dimensional Geometry and Application.
    Vitenskapelig kapittel
  • Fleischmann, Silvie Yael Girlani; Julien, Antoine Laurent Christophe; Schmeding, Alexander. (2024) Peer assessment in an undergraduate geometry course: Fostering proof competency in teacher students.
    Vitenskapelig kapittel

Rapport

  • Ebrahimi-Fard, Kurusch; Gray, W. Steven; Schmeding, Alexander. (2021) Universal Zero Dynamics: The SISO Case. IEEE (Institute of Electrical and Electronics Engineers)
    Forskningsrapport

Studentoppgave eller avhandling

  • Schmeding, Alexander. (2021) Applications of infinite-dimensional geometry and Lie theory Habilitationsschrift. Technische Universität Berlin
    Doktoravhandling

Undervisning

Emner

  • MA6401 - Geometri
  • MA2011 - Geometri for lærere A
  • MA2012 - Geometri for lærere B
  • MA3950 - Masteroppgave i matematikk
  • MA2401 - Geometri
  • MA3409 - Differensialgeometri

Høst 2025

IMAT3012 Matematikk 3B

Tidligere semester:

V24 TMA4115 - Matematikk 3

H24 MA3407 - Introduksjon til Lie-teori, MA3001 - Introduction to Riemannian geometry

V25 MA2401 - Geometri (also DELTA MA6401 - Geometri)

Veiledning

Hvis du er interessert i å skrive en oppgave eller gjennomføre et prosjekt under min veiledning, er du velkommen til å ta kontakt. Jeg fører en liste over mulige temaer for prosjekter knyttet til forskningsinteressene mine innen matematikk. Se forskningssiden min for mer informasjon.

Jeg kan også veilede oppgaver i matematikkdidaktikk. Aktuelle temaer er hovedsakelig knyttet til lærebokanalyse, programmering og bruk av digitale verktøy i matematikkundervisningen.

Formidling

2026

  • Leserinnlegg
    Riener, Cordian; Ebrahimi-Fard, Kurusch; Schmeding, Alexander. (2026) Når friksjonen forsvinner.
  • Aviskronikk
    Riener, Cordian; Ebrahimi-Fard, Kurusch; Schmeding, Alexander. (2026) KI lager matematiske bevis – forskere må kontrollere.
  • Bloggpost
    Ebrahimi-Fard, Kurusch; Fleischmann, Yael; Schmeding, Alexander. (2026) Trondheim. DidactiQC — Teaching Quantum Computing in Norway.

2023

  • Foredrag
    Schmeding, Alexander. (2023) Publishing with master students. Faculty seminar - Matematikkseksjon

2019

  • Konferanseforedrag
    Schmeding, Alexander. (2019) A geometric view on stochastic Euler equations. Hausdorff Junior Trimester Program: Randomness, PDEs and Nonlinear Fluctuations

2017

  • Konferanseforedrag
    Schmeding, Alexander. (2017) Infinite-dimensional Lie groups for regularity structures of SPDEs. 7th Annual ERC Berlin-Oxford Young Researchers Meeting on Applied Stochastic Analysis
  • Konferanseforedrag
    Schmeding, Alexander; Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus. (2017) Shape analysis on Lie groups and beyond. MekIT’17 - 9th National Conference on Computational Mechanics

2016

  • Konferanseforedrag
    Schmeding, Alexander. (2016) Charakter Gruppen von Hopf-Algebren als unendlichdimensionale Lie Gruppen. 38. Nordwestdeutsches Funktionalanalysis Kolloquium
  • Konferanseforedrag
    Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Lie groups shape analysis and computer animation. MaGIC
  • Konferanseforedrag
    Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. Oberwolfach Workshop
  • Konferanseforedrag
    Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. International Workshop on Industrial Mathematics
  • Konferanseforedrag
    Celledoni, Elena; Eslitzbichler, Markus; Schmeding, Alexander. (2016) Shape analysis on Lie groups with applications in computer animation. SDIDE
  • Konferanseposter
    Schmeding, Alexander; Celledoni, Elena; Eslitzbichler, Markus. (2016) Shape Analysis on Lie Groups (and beyond) with Applications. Math meets Industry

2015

  • Foredrag
    Schmeding, Alexander. (2015) Character groups of Hopf algebras as infinite-dimensional Lie groups. Differential Geometry, Geometric Invariants, and Vision Theory
  • Foredrag
    Schmeding, Alexander. (2015) The Lie group of bisections of a Lie groupoid. Infinite-dimensional Structures in Higher Geometry and Representation Theory
  • Foredrag
    Schmeding, Alexander. (2015) Linking Lie Groupoids and Infinite-Dimensional Lie Groups. Lie Groups: Representations and Geometry; 49th "Seminar Sophus Lie"

2014

  • Konferanseforedrag
    Schmeding, Alexander. (2014) Differential geometry on orbifolds: A smooth path through singularities. Seminar talk
  • Konferanseforedrag
    Schmeding, Alexander. (2014) The Lie group of real analytic diffeomorphisms is not real analytic. Seminar talk

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