Research interests: Functional analysis, harmonic analysis, functional inequalities, quantum information, and related areas.
Approximating the operator norm of local Hamiltonians via few quantum states (with Lars Becker, Joseph Slote and Alexander Volberg), arXiv:2509.11979.
Fourier growth of degree 2 polynomials (with Lars Becker, Joseph Slote and Alexander Volberg), arXiv:2412.10842.
On the Eldan-Gross inequality (with Paata Ivanisvili), to appear in JFA, arXiv:2407.17864.
Noncommutative Bohnenblust--Hille Inequality for qudit systems (with Joseph Slote and Alexander Volberg), arXiv:2406.08509.
Intertwining Curvature Bounds for Graphs and Quantum Markov Semigroups (with Florentin Münch and Melchior Wirth), arXiv:2401.05179.
Interpolation of quasi noncommutative L_p-spaces (with Zhi Yin and Juan Gu), arXiv:1905.08491.
A dimension-free Remez-type inequality on the polytorus
Discrete Analysis 2025, arXiv:2305.10828 (with Joseph Slote and Alexander Volberg).
Dimension-free discretizations of the uniform norm by small product sets
Invent. Math. 2024, arXiv:2310.07926, (with Lars Becker, Ohad Klein, Joseph Slote, and Alexander Volberg).
Bohnenblust--Hille inequality for cyclic groups
Adv. Math. 2024, arXiv:2305.10560, (with Joseph Slote and Alexander Volberg).
Quantum Talagrand, KKL and Friedgut's theorems and the learnability of quantum Boolean functions
Comm. Math. Phys. 2024, arXiv:2209.07279, talk at QIP 2023, (with Cambyse Rouzé and Melchior Wirth).
Quantum and classical low-degree learning via a dimension-free Remez inequality
ITCS 2024, arXiv:2301.01438, talk at TQC 2024, ( with Ohad Klein, Joseph Slote, and Alexander Volberg).
Approximation of polynomials from Walsh tail spaces
Studia Math. 2024, arXiv:2311.09021, (with Alexandros Eskenazis).
Noncommutative Bohnenblust--Hille inequalities
Math. Ann. 2023 , arXiv:2210.14468, (with Alexander Volberg).
Lp-Lq Fourier multipliers on locally compact quantum groups
J Fourier Anal Appl 2023, arXiv:2201.08346.
Some convexity and monotonicity results of trace functionals
Ann. Henri Poincaré 2023, arXiv:2108.05785.
Heat-smoothing for holomorphic subalgebras of free group von Neumann algebras
Proc. Amer. Math. Soc. 2023, arXiv:2205.12833.
Norms of certain functions of the Laplace operator on the ax+b groups
Math. Z. 2022, arXiv:2101.00584, (with Rauan Akylzhanov, Yulia Kuznetsova and Michael Ruzhansky).
Monotonicity versions of Epstein's Concavity Theorem and related inequalities
Linear Algebra Appl. 2022, arXiv:2205.02342, (with Eric Carlen).
Curvature-dimension conditions for symmetric quantum Markov semigroups
Ann. Henri Poincaré 2022, arXiv:2105.08303, (with Melchior Wirth).
Complete gradient estimates of quantum Markov semigroups
Comm. Math. Phys. 2021, arXiv:2007.13506, (with Melchior Wirth).
Equality conditions of Data Processing Inequality for α-z Rényi relative entropies
J. Math. Phys. 2020, arXiv:2007.06644.
From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture
Adv. Math. 2020, arXiv:1811.01205, talk at QIP 2022.
Infinitely divisible states on finite quantum groups
Math. Z. 2019, arXiv:1809.04417.
Idempotent states on Sekine quantum groups
Comm. Algebra 2019, arXiv:1809.02798.
Hypercontractivity of heat semigroups on free quantum groups
J. Operator Theory 2017, arXiv:1511.02753, (with Uwe Franz, Guixiang Hong, Francois Lemeux and Michael Ulrich).
Three lectures on Fourier analysis and learning theory, arXiv:2409.10886.