Research interests: Functional analysis, harmonic analysis, functional inequalities, quantum information, and related areas.
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), 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.