Vikram Giri

University of Zurich
Institute of Mathematics

E-mail: vikram.giri@math.uzh.ch

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Papers

• Non-conservation of a generalized helicity in the Euler equations
  with H. Kwon and M. Novack
  Preprint, (2026) (arXiv)
  
  
• The structure of Lonely Runner spectra
  with N. Kravitz
  Math. Proc. Camb. Phil. Soc., 180(2):343-361 (2026) (arXiv)(journal)
  
  
• A Spectral Gap for Spinors on Hyperbolic Surfaces
  with A. Adve
  to appear in Commentarii Mathematici Helvetici, (2026) (arXiv)
  
  
• Non-uniqueness of Hölder continuous solutions for Inhomogeneous Incompressible Euler flows
  with U. Koley
  to appear in Calc. Var. PDE, (2024) (arXiv)
  
  
• An Onsager-type theorem for SQG
  with M. Dai and R-O. Radu
  to appear in JEMS, (2024) (arXiv)
  
  
• Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms
  with A. Abdurrahman, A. Adve, B. Lowe and J. Zung
  Preprint, (2024) (arXiv)
  
  
• The L^3-based strong Onsager theorem
  with H. Kwon and M. Novack
  to appear in Annals of Maths., (2023) (arXiv)
  
  
• A wavelet-inspired L^3-based convex integration framework for the Euler equations
  with H. Kwon and M. Novack
  Annals of PDE, 10, 19 (2024) (arXiv) (journal)
  
  
• The Onsager conjecture in 2D: a Newton-Nash iteration
  with R-O. Radu
  Inventiones mathematicae, 238, 691-768 (2024) (arXiv) (journal)
  
  
• A step towards the tensorization of Sobolev spaces
  with S. Ghinassi and E. Negrini
  Annales Fennici Mathematici, 50(2), 721-740 (2025) (arXiv)(journal)
  
  
• On Non-uniqueness of Continuous Entropy Solutions to the Isentropic Compressible Euler Equations
  with H. Kwon
  Archive for Rational Mechanics and Analysis, 245, 1213-1283 (2022) (arXiv) (journal)
  
  
• Non-uniqueness of integral curves for autonomous Hamiltonian vector fields
  with M. Sorella
  Differential and Integral Equations, 35(7/8): 411-436 (2022) (arXiv) (journal)
  
  
• Smoothing does not give a selection principle for transport equations with bounded autonomous fields
  with C. De Lellis
  Annales mathématiques du Québec, 46, 27-39 (2022) (arXiv)(journal)

Lecture Notes

• Instability and nonuniqueness for the 2d Euler equations in vorticity form, after M. Vishik
  with D. Albritton, E. Brué, M. Colombo, C. De Lellis, M. Janisch and H. Kwon
  Annals of Mathematics Studies, 219 (arXiv)(book)

with Noah and Ueli at Hof Narr