--Optimal Young's convolution inequality and its reverse form on the hypercube [arxiv] with David Beltran, Paata Ivanisvili and Lekha Patil ---Preprint submitted.
--Sharp Poincare-Wirtinger inequalities on complete graphs [arxiv] with Cristian Gonzalez-Riquelme ---Preprint submitted.
--Periodicity and decidablity of translational tilings by rational polygonal sets [arxiv] [Journal] with Jaume de Dios, Jan Grebik and Rachel Greenfeld--- Expositiones Mathematicae, Special issue dedicated to Bent Fuglede (accepted)
--Discrete Brunn-Minkowski Inequality for Subsets of the cube [arxiv] with Lars Becker, Dmitrii Kracun and Paata Ivanisvili---Preprint submitted.
--On sharp isoperimetric inequalities on the hypercube [arxiv] with David Beltran and Paata Ivanisvili---Preprint submitted.
--A new proof of the description of the convex hull of space curves with totally positive torsion [arxiv] with Jaume de Dios and Paata Ivanisvili---Michigan Mathematical Journal (accepted).
--Mixed norm decoupling for paraboloids [arxiv] [Journal]with Shival Dasu, Hongki Jung and Zane Li---International Mathematics Research Notices 2023, 20, 17972-18000.
--Generalized Collatz maps with almost bounded orbits [arxiv] [Journal] with Felipe Goncalves and Rachel Greenfeld,---Indiana University Mathematics Journal 74 (2025), no. 1, 1-46.
--Additive energies on discrete cubes [arxiv] [Journal] with Jaume de Dios, Rachel Greenfeld and Paata Ivanisvili---Discrete Analysis 2023: 13, 16 pp.
--On classical inequalities for autocorrelations and autoconvolutions [arxiv] with Jaume de Dios---Preprint submitted.
--Positive and negative square energies of graphs [arxiv] [Journal] with Aida Abiad, Leonardo de Lima, Dheer Noal, Krystal Guo and Leslie Hogben--- Electronic Journal of Linear Algebra, 39, 307--326, 2023.
--Comparison of ising models under change of apriori measure [arxiv] [Journal] with Barry Simon and Daniel Wells --- The Physics and Mathematics of Elliot Lieb Vol II, 47-71, European Mathematical Society (2022).
--An uncountable ergodic Roth theorem and applications, [arxiv] [Journal] with Polona Durcik, Rachel Greenfeld, Annina Iseli and Asgar Jamneshan-- --Discrete and Continuous Dynamical Systems 2022, 42 (11) 5509-5540.
--Decoupling for fractal subsets of the parabola, [arxiv] [Journal] with Alan Chang, Jaume de Dios, Rachel Greenfeld, Asgar Jamneshan and Zane Li---Mathematische Zeitschrift 301, 1851-1879 (2022).
--Continuity of the gradient of the fractional maximal operator in W^{1,1}(R^d) [arxiv] [Journal] with David Beltran, Cristian Gonzalez-Riquelme and Julian Weigt---Mathematical Research Letters, Vol 30 (2023) N 3, 689-707.
--Sharp inequalities for maximal operators on finite graphs, II [arxiv] [Journal] with Cristian Gonzalez-Riquelme ---Journal of Mathematical Analysis and Applications 506 (2), 2022, 125647.
--Sunrise strategy for the continuity of maximal operators [arxiv] [Journal] with Emanuel Carneiro and Cristian Gonzalez-Riquelme ---Journal d’Analyse Mathématique 148, 37-84 (2022).
--Sharp inequalities for maximal operators on finite graphs [arxiv] [Journal] with Cristian Gonzalez-Riquelme ---The Journal of Geometric Analysis, 31 (10), 9708-9744 (2021).
--On optimal autocorrelation inequalities on the real line [arxiv] [Journal] with Joao P. G. Ramos ---Communications on Pure and Applied Analysis (2021) , 20 (1) 369-388.
--Improving estimates for discrete polynomial averages [arxiv] [Journal] with Rui Han, Vjekoslav Kovač, Michael T. Lacey and Fan Yang ---Journal of Fourier Analysis and Applications 26 (2020), Article 42, 11 pp.
--Regularity of the centered fractional maximal function on radial functions [arxiv] [Journal] with David Beltran ---Journal of Functional Analysis 279, No 8 (2020), 108686.
--Directional Maximal Function along the Primes [arxiv] [Journal] with Laura Cladek, Polona Durcik and Ben Krause -- Publicacions Matematiques 65 (2021), 841–858
-- Endpoint Sobolev continuity of the fractional maximal function in higher dimensions [arxiv] [Journal] with David Beltran--International Mathematics Research Notices 2021, No. 22 (2021), 17316-17342.
-- Endpoint Sobolev and BV Continuity for Maximal Operators, II [arxiv] [Journal]-- Revista Matemática Iberoamericana 35, no 7 (2019) 2151-2168.
--The Variation of the Fractional Maximal Function of a Radial Function [arxiv] [Journal] with Hannes Luiro---International Mathematics Research Notices 2019, No. 17 (2019), 5284-5298.
-- Endpoint Sobolev and BV Continuity for Maximal Operators [arxiv] [Journal] with Emanuel Carneiro and Lillian Pierce--- Journal of Functional Analysis 273, No. 10 (2017), 3262-3294 .
-- Sharp Inequalities for the Variation of the Discrete Maximal Function [arxiv] [Journal]--- Bulletin of the Australian Mathematical Society 95, no. 1 (2017), 94-107.
Mahony-Neumann-Room prize 2023, Australian Math. Soc.
-- Derivative Bounds for Fractional Maximal Functions [arxiv] [Journal] with Emanuel Carneiro--- Transactions of the American Mathematical Society 369, No. 6 (2017), 4063-4092 .
-- One-sided Band-limited Approximations of Some Radial Functions [arxiv] [Journal] with Felipe Goncalves and Michael Kelly -- Bulletin of the Brazilian Mathematical Society 46, No. 4 (2015), 563-599 .