Jack Borthwick

Jack Borthwick

Post-doctorant

McGill University

Biography

I am currently a post-doctoral researcher at McGill University where I work with Niky Kamran.

Previously, I was a post-doc at the Laboratoire de Mathématiques de Besançon where I worked with Nabile Boussaïd and Thierry Daudé on inverse resonance problems.

I prepared my PhD thesis on the subject : "Analytical and projective scattering on spacetimes with positive cosmological constant" at the University of Western Brittany under the supervision of Jean-Philippe Nicolas. In 2022, my thesis was awarded a Prix d’Excellence by the “Fondation UBO”.

Download my CV .

In December 2022, at the workshop Mathematical aspects in Black Hole Theory (Observatoire de Paris), I gave three one hour lectures on the topic of Cartan geometries. You can download the notes here.

Interests
  • Asymptotic analysis
  • Cartan geometries, differential geometry
  • Spectral analysis and scattering theory
  • Scattering resonances and inverse problems
  • Variational methods and non-linear equations
Education
  • PhD in Mathematics, 2021

    University of Western Brittany

  • French Engineering Degree (Master equivalent), 2016

    École Centrale de Lille

  • MSc in Theoretical Physics, 2016

    Lund University

  • BSc in Mathematics, 2013

    University of Lille 1

Experience

 
 
 
 
 
Post-doctoral fellow
January 2023 – Present Montreal
 
 
 
 
 
Laboratoire de Mathématiques de Besançon
Post-doctoral researcher
September 2021 – December 2022 Besançon
 
 
 
 
 
University of Western Brittany
Temporary Research and Teaching Agent (ATER)
September 2020 – August 2021 Brest

Recent Publications

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(2024). Asymptotic symmetries of projectively compact order one Einstein Manifolds. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Cite DOI arxiv hal

(2024). Bounded Palais-Smale sequences with Morse type information for some constrained functionals. Trans. Amer. Math. Soc.

Cite DOI arxiv hal

(2023). Inverse Regge poles problem on a warped ball. Inverse Problems and Imaging.

Cite DOI arxiv hal

Links

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