# Vikram Giri

ETH Zurich

Department of Mathematics

Rämistrasse 101

8092 Zurich

Switzerland

E-mail: vikramaditya.giri@math.ethz.ch

## Papers

- A Spectral Gap for Spinors on Hyperbolic Surfaces

with A. Adve

*Preprint*, (2024) (preliminary version)

- Non-uniqueness of Hölder continuous solutions for Inhomogeneous Incompressible Euler flows

with U. Koley

* Preprint*, (2024) (arXiv)

- An Onsager-type theorem for SQG

with M. Dai and R-O. Radu

* Preprint*, (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

* Preprint*, (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

* Preprint*, (2023) (arXiv)

- 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)