Nicolas Marque

Nicolas Marque

Maître de Conférences

Institut Elie Cartan de Lorraine

About

I am a Maître de Conférences at the Elie Cartan Institute of Lorraine, in the Geometry.

My PhD dealt with the compactness of Willmore surfaces and was done under the supervision of Paul Laurain. The defense took place in December 2019 in the Université de Paris. I was a postdoc student in the Institute for Mathematics in Potsdam, under the supervision of Prof. Dr. Jan Metzger.

Interests

  • Geometric Analysis
  • Willmore Surfaces
  • Conformal Gravity

Education

  • PhD in Mathematics, 2019

    Université de Paris

  • MSc in Mathematics, 2016

    Université Claude Bernard, Lyon

Publications

Rodrigo Avalos, Paul Laurain, Nicolas Marque (2022). Rigidity Theorems for Asymptotically Euclidean Q-singular Spaces.

PDF

Rodrigo Avalos, Jorge H. Lira, Nicolas Marque (2022). Einstein Type Systems on Complete Manifolds.

PDF

Rodrigo Avalos, Jorge H. Lira, Nicolas Marque (2021). Energy in Fourth Order Gravity.

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Yann Bernard, Paul Laurain, Nicolas Marque (2020). Energy Estimates for the Tracefree Curvature of Willmore Surfaces and Applications.

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Nicolas Marque (2020). Minimal Bubbling for Willmore Surfaces. IMRN.

PDF Source Document

See all publications

Teachings

Current Teachings at Université de Lorraine:

  • Fondements Mathématiques (Winter 2022)

    • Basic mathematics and logic for 1st year students, courses and tutoring.

  • L2 SI (Winter 2022)

    • Mathematics for 1nd year engineering students, courses and tutoring.

Past Teachings at Potsdam University:

  • Analysis IV (Summer 2022)

    • Analysis for bachelor students, tutoring.

  • Analysis III (Winter 2021)

    • Analysis for bachelor students, tutoring.

  • Mean curvature problems in Euclidean space (Summer 2021)

    • Geometric analysis for Master 2 students, lectures and tutoring

  • PDE1 (Winter 2020)

    • PDE for Master 2 students, tutoring.

  • Analysis I (Winter 2020)

    • Analysis for bachelor students, tutoring.

  • PDE2 (Summer 2020)

    • PDE for Master 2 students, tutoring.

Past Teachings at Université de Paris:

  • MRM1 (Fall 2019)

    • Mathematics and logic for 1st year students, courses and tutoring.

  • MM4 (Spring 2018)

    • Mathematics and logic for 2nd year students, “colles” sessions.

  • Measure theory and Integration (Fall 2017, 2018, Spring 2020)

    • Measure theory for third year students, tutoring.

  • MM2 (Spring 2017)

    • Analysis for first year students, tutoring.

  • RM1 (Fall 2016, 2018)

    • Logic for first year students, tutoring.

Talks

  • Speaker at the Contraintes de Courbure des Espaces Métriques in Nancy (Sept 2022)

    • Concentration-compacité des surfaces de Willmore.

  • Speaker at the PDE seminar in Lyon (Mar 2022)

    • On geometric critical PDEs.

  • Speaker at the Geometry seminar in Nantes (Mar 2022)

    • Fourth order Energies

  • Speaker at the Geometry seminar in Tours (Mar 2022)

    • On geometric PDEs and mean curvature problems.

  • Speaker at the PDE seminar in Nancy (Jan 2022)

    • On geometric critical PDEs.

  • Speaker at the Geometric Analysis, Differential Geometry and Relativity (Nov 2021)

    • Perspectives on Willmore surfaces.

  • Speaker at the 1st Geometric Analysis Festival (Feb 2021)

    • Willmore Energy, Willmore surfaces, Willmore Bubbling.

  • Speaker (Short talk) at the International Meeting on Lorentzian Geometry (Feb 2021)

    • Conformal Gauss map and Applications.

  • Speaker for the Geometry Seminar in Melbourne (Feb 2020)

    • Geometry of the conformal Gauss map.

  • Speaker for the Differential Geometry Seminar in Potsdam (Nov 2019)

    • An exploration of Willmore Bubbling.

  • Speaker for the Differential Geometry Seminar in Nancy (Nov 2019)

    • An exploration of Willmore Bubbling.

  • Speaker for the Geometry Seminar in Brussels (Oct 2019)

    • On the Compactness of Willmore Immersions.

  • Speaker for the Geometry Seminar in Paris (Oct 2019)

    • On the Compactness of Willmore Immersions.

  • Speaker at the 1st Joint Meeting Brazil-France in Mathematics in Rio de Janeiro (July 2019)

    • An exploration of Willmore Bubbling.

  • Speaker for the Geometry Seminar in Fortaleza (July 2019)

    • An exploration of Willmore Bubbling.

Contact

  • nicolas.marque(at)univ-lorraine.fr
  • Bureau 327, Institut Elie Cartan de Lorraine