Background:

I am a final year PhD student under the supervision of Dr. Vedran Sohinger, due to graduate in August 2023. I completed an MMath in 2019 at the University of Warwick.

Research Interests:

My research is in nonlinear dispersive PDEs and many-body quantum problems. In particular, I am studying how Gibbs measures arise microscopically for the nonlinear Schrödinger equation.

Publications and Preprints:

• • A microscopic derivation of Gibbs measures for the 1D focusing quintic nonlinear Schrödinger equation (with Vedran Sohinger) Preprint 2023, 61 pages, arXiv: 2308.06569.
  • A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation (with Vedran Sohinger), Preprint 2022, 42 pages. To appear in Communications in Partial Differential Equations.

Talks:

• • August 2022: A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation, Quantissima in the Serenissima IV: Contributed Talk.
  • June 2022: A microscopic derivation of Gibbs measures for the 1D focusing cubic nonlinear Schrödinger equation, MCQM 2022, Como: Contributed Talk.
  • March 2022: Probabilistic Approaches to Well-Posedness of PDEs: Warwick SPAAM Seminar.
  • June 2021: Constructing Gibbs measures for the 1D nonlinear Schrödinger equation, Warwick Postgraduate Seminar.

Notes

• • Notes on Gibbs measures for the NLS (1st Year Summer Project)

Seminar:

I am an organiser for the Warwick Junior Analysis and Probability Seminar. If you are interested in giving a talk, please send me an email at a <dot> Rout <at> warwick <dot> ac <dot> uk.

Teaching:

• 2021/22:
  • Supervisor for first year non-maths students
  • TA and module convenor for MA244 Analysis III
  • TA for MA4A7 Quantum Mechanics
• 2020/21
  • Supervisor for first year non-maths students
  • TA for MA258 Mathematical Analysis III
  • TA for MA4J0 Advanced Real Analysis
• 2019/20
  
  • Supervisor for second years maths students
  • TA for MA4J0 Advanced Real Analysis
  • TA for MA131 Analysis 2
• 2018/19
  • Supervisor for first year maths students

My email is: a <dot> Rout <at> warwick <dot> ac <dot> uk.

Other Interests:

I have been known to participate in the occasional quiz.