R. Choksi, I. Topaloglu, G. Tsogtgerel:
Axisymmetric critical points of a nonlocal isoperimetric problem on the
  two-sphere
(preprint) http://arxiv.org/abs/1311.3512 2013

R. Simione, D. Slepev, I. Topaloglu:
Existence of Ground States of Nonlocal-Interaction Energies
(preprint) http://arxiv.org/abs/1405.5146 2014

K. Craig, I. Topaloglu:
Convergence of regularized nonlocal interaction energies
(preprint) http://arxiv.org/abs/1503.04826 2015

A. Burchard, R. Choksi, I. Topaloglu:
Nonlocal Shape Optimization via Interactions of Attractive and Repulsive
  Potentials
(preprint) http://arxiv.org/abs/1512.07282 2015

S. Alama, L. Bronsard, I. Topaloglu:
Sharp interface limit of an energy modelling nanoparticle-polymer blends
(preprint) http://arxiv.org/abs/1508.01206 2015

S. Alama, L. Bronsard, R. Choksi, I. Topaloglu:
Droplet phase in a nonlocal isoperimetric problem under confinement
(preprint) http://arxiv.org/abs/1609.03589 2016

M. Kovacic, Razvan C. Fetecau, I. Topaloglu:
Swarming in domains with boundaries: approximation and regularization by
  nonlinear diffusion
(preprint) http://arxiv.org/abs/1711.03622 2017

S. Alama, L. Bronsard, R. Choksi, I. Topaloglu:
Droplet breakup in the liquid drop model with background potential
(preprint) http://arxiv.org/abs/1708.04292 2017

S. Alama, L. Bronsard, R. Choksi, I. Topaloglu:
Ground-states for the liquid drop and TFDW models with long-range
  attraction
(preprint) http://arxiv.org/abs/1707.06674 2017

R. Choksi, R. Neumayer, I. Topaloglu:
Anisotropic liquid drop models
(preprint) http://arxiv.org/abs/1810.08304 2018

K. Craig, I. Topaloglu:
Aggregation-Diffusion to Constrained Interaction: Minimizers & Gradient
  Flows in the Slow Diffusion Limit
(preprint) http://arxiv.org/abs/1806.07415 2018

O. Misiats, I. Topaloglu, D. Vasiliu:
Singular perturbation of an elastic energy with a singular weight
(preprint) http://arxiv.org/abs/1901.09940 2019

O. Misiats, I. Topaloglu:
On minimizers of an anisotropic liquid drop model
ESAIM: COCV Vol. 27, p. S20, 2021

M. Bonacini, R. Cristoferi, I. Topaloglu:
Minimality of polytopes in a nonlocal anisotropic isoperimetric problem
Nonlinear Analysis Vol. 205, p. 112223, 2021

S. Alama, L. Bronsard, I. Topaloglu, A. Zuniga:
A nonlocal isoperimetric problem with density perimeter
Calculus of Variations and Partial Differential Equations Vol. 60, p. 1, 2021

M. Bonacini, R. Cristoferi, I. Topaloglu:
Riesz-type inequalities and overdetermined problems for triangles and   quadrilaterals
J. Geom. Anal. Vol. 32, 2022

M. Novack, I. Topaloglu, R. Venkatraman:
Least Wasserstein distance between disjoint shapes with perimeter regularization
J. Funct. Anal. Vol. 284, N. 1, p. 109732, 2023

A. Burchard, D. Carazzato, I. Topaloglu:
Maximizers of nonlocal interactions of Wasserstein type
ESAIM: COCV (Accepted Paper) http://arxiv.org/abs/2309.05522 2023

M. Bonacini, R. Cristoferi, I. Topaloglu:
Stability of the ball for attractive-repulsive energies
SIAM Journal on Mathematical Analysis Vol. 56, N. 1, p. 588-615, 2024

D. Carazzato, A. Pratelli, I. Topaloglu:
On the existence of minimizing sets for a weakly-repulsive non-local  energy
Pure and Applied Analysis Vol. 6, N. 4, p. 9951015, 2024

M. Bonacini, R. Cristoferi, I. Topaloglu:
A stability inequality for the planar lens partition
Proceedings of the Royal Society of Edinburgh Section A: Mathematics 2025

D. Carazzato, A. Pratelli, I. Topaloglu:
Particle approximation of nonlocal interaction energies
(preprint) http://arxiv.org/abs/2506.02905 2025

M. Bonacini, I. Topaloglu:
Stability and minimality of the ball for attractive-repulsive energies  with perimeter penalization
(preprint) http://arxiv.org/abs/2502.09406 2025