Articles

“Reconstruction theorem in quasinormed spaces”. In: Rev. Mat. Iberoamericana (2022). arXiv: 2107.08666.

“Weighted Davis inequalities for martingale square functions”, with D. Wollgast. In: J. Theoret. Probab. (2022). arXiv: 2106.11279.

A1 Fefferman–Stein inequality for maximal functions of martingales in uniformly smooth spaces”. In: Electron. J. Probab. 26 (2021), pp. 1–18. arXiv: 2106.07281.

“A stationary set method for estimating oscillatory integrals”, with S. Basu, S. Guo, and R. Zhang. In: J. Eur. Math. Soc. (JEMS) (2023). To appear. arXiv: 2103.08844.

“Improved surrogate bi-parameter maximum principle”, with P. Mozolyako, G. Psaromiligkos, and A. Volberg. Preprint. 2021. arXiv: 2101.01094.

“Decoupling inequalities for quadratic forms”, with S. Guo, C. Oh, and R. Zhang. In: Duke Math. J. 172.2 (2023), pp. 387–445. arXiv: 2011.09451.

“A variable coefficient multi-frequency lemma”, with S. Guo. Preprint. 2020. arXiv: 2010.00812.

“Rough semimartingales and p-variation estimates for martingale transforms”, with P. Friz. In: Ann. Probab. 51.2 (2023), pp. 397–441. arXiv: 2008.08897.

“Band-limited maximizers for a Fourier extension inequality on the circle, II”, with J. Barker and C. Thiele. In: Exp. Math. (2022). To appear. arXiv: 2002.05118.

“Carleson embedding on tri-tree and on tri-disc”, with P. Mozolyako, G. Psaromiligkos, and A. Volberg. In: Rev. Mat. Iberoam. 38.7 (2022), pp. 2069–2116. arXiv: 2001.02373.

“A short proof of 2 decoupling for the moment curve”, with S. Guo, Z. K. Li, and P.-L. Yung. In: Amer. J. Math. 143.6 (2021), pp. 1983–1998. arXiv: 1912.09798.

“Decoupling for two quadratic forms in three variables: a complete characterization”, with S. Guo, C. Oh, J. Roos, and P.-L. Yung. In: Rev. Mat. Iberoamericana (2022). arXiv: 1912.03995.

“Weighted Lépingle inequality”. In: Bernoulli 26.3 (2020), pp. 2311–2318. arXiv: 1908.05937. mr: 4091110.

“Bi-parameter Carleson embeddings with product weights”, with N. Arcozzi, P. Mozolyako, G. Psaromiligkos, and A. Volberg. Preprint. 2019. arXiv: 1906.11150.

“Decoupling for certain quadratic surfaces of low co-dimensions”, with S. Guo. In: J. Lond. Math. Soc. (2) 102.1 (2020), pp. 319–344. arXiv: 1902.03450. mr: 4143735.

“Variational estimates for martingale paraproducts”, with V. Kovač. In: Electron. Commun. Probab. 24 (2019), Paper No. 48, 14. arXiv: 1812.09763. mr: 4003122.

“Decoupling for moment manifolds associated to Arkhipov–Chubarikov–Karatsuba systems”, with S. Guo. In: Adv. Math. 360 (2020). arXiv: 1811.02207. mr: 4031117.

“Jump inequalities for translation-invariant operators of Radon type on d, with M. Mirek and E. M. Stein. In: Adv. Math. 365 (2020), pp. 107065, 57. arXiv: 1809.03803. mr: 4067360.

“A bootstrapping approach to jump inequalities and their applications”, with M. Mirek and E. M. Stein. In: Anal. PDE 13.2 (2020), pp. 527–558. arXiv: 1808.09048. mr: 4078235.

“Jump inequalities via real interpolation”, with M. Mirek and E. M. Stein. In: Math. Ann. 376.1-2 (2020), pp. 797–819. arXiv: 1808.04592. mr: 4055178.

“Kakeya-Brascamp-Lieb inequalities”. In: Collect. Math. 71.3 (2020), pp. 471–492. arXiv: 1807.09604. mr: 4129538.

“Band-limited maximizers for a Fourier extension inequality on the circle”, with D. Oliveira e Silva and C. Thiele. In: Exp. Math. (2019). arXiv: 1806.06605.

“Maximal polynomial modulations of singular integrals”. In: Adv. Math. 386 (2021), Paper No. 107832, 40. arXiv: 1711.03524. mr: 4270523.

“Square functions for bi-Lipschitz maps and directional operators”, with F. Di Plinio, S. Guo, and C. Thiele. In: J. Funct. Anal. 275.8 (2018), pp. 2015–2058. arXiv: 1706.07111. mr: 3841536.

Ap-A estimates for multilinear maximal and sparse operators”. In: J. Anal. Math. 138.2 (2019), pp. 871–889. arXiv: 1609.06923. mr: 3996061.

“Sparse domination on non-homogeneous spaces with an application to Ap weights”, with A. Volberg. In: Rev. Mat. Iberoam. 34.3 (2018), pp. 1401–1414. arXiv: 1606.03340. mr: 3850292.

“Cancellation for the simplex Hilbert transform”. In: Math. Res. Lett. 24.2 (2017), pp. 581–592. arXiv: 1507.02436. mr: 3685286.

“Corners Over Quasirandom Groups”. In: Combin. Probab. Comput. 26.6 (2017), pp. 944–951. arXiv: 1507.00844. mr: 3714999.

“A double return times theorem”. In: Israel J. Math. 229.1 (2019), pp. 255–267. arXiv: 1506.05748. mr: 3905604.

“Dyadic triangular Hilbert transform of two general functions and one not too general function”, with V. Kovač and C. Thiele. In: Forum Math. Sigma 3 (2015), e25, 27. arXiv: 1506.00861. mr: 3482272.

“Triangles in Cartesian Squares of Quasirandom Groups”, with V. Bergelson and D. Robertson. In: Combin. Probab. Comput. 26.2 (2017), pp. 161–182. arXiv: 1410.5385. mr: 3603962.

“Variational estimates for averages and truncated singular integrals along the prime numbers”, with M. Mirek and B. Trojan. In: Trans. Amer. Math. Soc. 369.8 (2017), pp. 5403–5423. arXiv: 1410.3255. mr: 3646766.

“A random pointwise ergodic theorem with Hardy field weights”, with B. Krause. In: Illinois J. Math. 59.3 (2015), pp. 663–674. arXiv: 1410.0806. mr: 3554227.

“Weighted and vector-valued variational estimates for ergodic averages”, with B. Krause. In: Ergodic Theory Dynam. Systems 38.1 (2018), pp. 244–256. arXiv: 1409.7120. mr: 3742545.

“Variation estimates for averages along primes and polynomials”. In: J. Funct. Anal. 268.1 (2015), pp. 210–238. arXiv: 1403.4085. mr: 3280058.

“Finite products sets and minimally almost periodic groups”, with V. Bergelson, C. Christopherson, and D. Robertson. In: J. Funct. Anal. 270.6 (2016), pp. 2126–2167. arXiv: 1402.4736. mr: 3460236.

“Lower bound in the Roth theorem for amenable groups”, with Q. Chu. In: Ergodic Theory Dynam. Systems 35.6 (2015), pp. 1746–1766. arXiv: 1309.6095. mr: 3377282.

“Multiple recurrence for non-commuting transformations along rationally independent polynomials”, with N. Frantzikinakis. In: Ergodic Theory Dynam. Systems 35.2 (2015), pp. 403–411. arXiv: 1302.5571. mr: 3316918.

“Return times theorem for amenable groups”. In: Israel J. Math. 204.1 (2014), pp. 85–96. arXiv: 1301.1884. mr: 3273452.

“Cube spaces and the multiple term return times theorem”. In: Ergodic Theory Dynam. Systems 34.5 (2014), pp. 1747–1760. arXiv: 1210.5202. mr: 3255440.

“Uniformity in the Wiener-Wintner theorem for nilsequences”, with T. Eisner. In: Discrete Contin. Dyn. Syst. 33.8 (2013), pp. 3497–3516. arXiv: 1208.3977. mr: 3021367.

“A nilpotent IP polynomial multiple recurrence theorem”. In: J. Anal. Math. 123 (2014), pp. 183–225. arXiv: 1206.0287. mr: 3233579.

“Norm convergence of multiple ergodic averages on amenable groups”. In: J. Anal. Math. 130 (2016), pp. 219–241. arXiv: 1111.7292. mr: 3574654.

“Typical operators admit common cyclic vectors”. In: Proc. Amer. Math. Soc. 141.7 (2013), pp. 2371–2378. arXiv: 1008.2878. mr: 3043018.

Theses

“Modulation invariant operators”. Habilitation thesis. University of Bonn, 2019. arXiv: 1902.10577.

“Ergodic theorems for polynomials in nilpotent groups”. PhD thesis. University of Amsterdam, 2013. arXiv: 1309.0345.

“Interpolation between Banach spaces and continuity of Radon-like integral transforms”. MA thesis. University of Tübingen, 2011. arXiv: 1301.1025.

Last updated: June 29, 2023