Jakub M. Konieczny Curriculum Vitae

E-mail: [email protected] CONTACT Einstein Institute of Mathematics Webpages: INFORMATION Edmond J. Safra Campus The Hebrew University of Jerusalem mathematics.huji.ac.il/people/jakub-konieczny Givat Ram. Jerusalem, 9190401, Israel jakubmichalkonieczny.wordpress.com

RESEARCH Ergodic theory and dynamical systems. Applications to combinatorial number theory. Sym- INTERESTS bolic dynamics. Fourier analysis. Higher order Fourier analysis. Dynamics on nilmani- folds. Generalised polynomials. Automatic sequences. q-multiplicative sequences. Ultrafil- ters. Ramsey theory. Extremal combinatorics.

CURRENT Postdoctoral Fellow, October 2017 to present ACADEMIC Einstein Institute of Mathematics, The Hebrew University of Jerusalem APPOINTMENTS under ERC grant: Ergodic Theory and Additive Combinatorics Advisor: Tamar Ziegler

EDUCATION University of Oxford

Doctor of Philosophy in Mathematics, 1 August 2017 • Supervisor: Ben Green • Area of study: Ergodic theory/Additive combinatorics • Thesis title: On combinatorial properties of nil-Bohr sets of integers and related problems

Jagiellonian University, Kraków and Vrije Universiteit, Amsterdam (joint degree)

Master of Science in Mathematics, 18 July 2013 (UJ) | 30 August 2013 (VU) • Supervisor: P. Niemiec (UJ) and T. Eisner-Lobova (VU) and A. J. Homburg (VU) • Area of study: Ergodic theory/Combinatorial number theory • Thesis title: Applications of ultrafilters in ergodic theory and combinatorial number theory

Jagiellonian University, Kraków Bachelor of Science in Mathematics, 15 July 2011 • Individualised Studies in Mathematics and Natural Sciences (SMP) programme • Extended curriculum incorporating material from Computer Science and Physics

JOURNAL PAPERS [1] J. Byszewski, J. Konieczny, and E. Krawczyk. Substitutive systems and a finitary version (PUBLISHEDOR of Cobham’s theorem. To appear in Combinatorica, available at arXiv: 1908.11244 ACCEPTEDFOR [math.CO] PUBLICATION) [2] J. Konieczny. Möbius orthogonality for q-semimultiplicative sequences. Monatsh. Math., 192(4):853–882, 2020. doi:10.1007/s00605-020-01435-2 [3] J. Konieczny. On multiplicative automatic sequences. Bull. Lond. Math. Soc., 52(1):175– 184, 2020. doi:10.1112/blms.12317 [4] J. Byszewski and J. Konieczny. A density version of Cobham’s theorem. Acta Arith., 192 (3):235–247, 2020. doi:10.4064/aa180626-13-1

[5] J. Byszewski and J. Konieczny. Automatic sequences and generalised polynomials. Canad. J. Math., 72(2):392–426, 2020. doi:10.4153/s0008414x19000038

1 of 5 [6] J. Konieczny. Gowers norms for the Thue-Morse and Rudin-Shapiro sequences. Ann. Inst. Fourier (Grenoble), 69(4):1897–1913, 2019. doi:10.5802/aif.3285 [7] A. Fan and J. Konieczny. On uniformity of q-multiplicative sequences. Bull. Lond. Math. Soc., 51(3):466–488, 2019. doi:10.1112/blms.12245

[8] J. Byszewski and J. Konieczny. Factors of generalised polynomials and automatic se- quences. Indag. Math. (N.S.), 29(3):981–985, 2018. doi:10.1016/j.indag.2018.03.003 [9] T. Eisner and J. Konieczny. Automatic sequences as good weights for ergodic theorems. Discrete Contin. Dyn. Syst., 38(8):4087–4115, 2018. doi:10.3934/dcds.2018178 [10] J. Byszewski and J. Konieczny. Sparse generalised polynomials. Trans. Amer. Math. Soc., 370(11):8081–8109, 2018. doi:10.1090/tran/7257 [11] J. Konieczny, M. Kupsa, and D. Kwietniak. Arcwise connectedness of the set of er- godic measures of hereditary shifts. Proc. Amer. Math. Soc., 146(8):3425–3438, 2018. doi:10.1090/proc/14029

[12] J. Konieczny. Combinatorial properties of Nil-Bohr sets. Israel J. Math., 220(1):333–385, 2017. doi:10.1007/s11856-017-1520-0 [13] J. Konieczny. Weakly mixing sets of integers and polynomial equations. Q. J. Math., 68 (1):141–159, 2017. doi:10.1093/qmath/haw013 [14] J. Konieczny. Sets of recurrence as bases for the positive integers. Acta Arith., 174(4): 309–338, 2016. doi:10.4064/aa8125-4-2016

PREPRINTS [15] J. Konieczny, C. Müllner, and M. Lemanczyk.´ Multiplicative automatic sequences. Preprint, AND PAPERS UNDER arXiv: 2004.04920 [math.NT] REVIEW [16] J. Byszewski, J. Konieczny, and C. Müllner. Gowers norms for automatic sequences. Preprint, arXiv: 2002.09509 [math.NT] [17] J. Konieczny. Generalised polynomials and integer powers. Preprint, arXiv: 1905.03374 [math.NT]

[18] J. Konieczny. Algorithmic classification of noncorrelated binary pattern sequences. Preprint, arXiv: 1905.03283 [math.NT] [19] J. Konieczny. On sums and permutations. Preprint, arXiv: 1504.07156 [math.CO]

CONFERENCE [20] J. Konieczny. On combinatorial properties of nil–Bohr sets of integers and related prob- REPORTS lems. PhD thesis, University of Oxford, 2017 AND THESES [21] J. Konieczny. Applications of ultrafilters in ergodic theory. In Proceedings of the XVI International Workshop for Young Mathematicians “Ergodic Theory and Dynamical Systems”, Kraków, September 2013 [22] J. Konieczny. Applications of ultrafilters in ergodic theory and combinatorial number theory. Master’s thesis, Jagiellonian University & Vrije Universiteit Amsterdam, 2013. arXiv: 1310.1056 [math.DS]

[23] J. Konieczny. Markov processes and Ramsey theory for trees. In Proceedings of Arbeits- gemeinschaft: Ergodic Theory and Combinatorial Number Theory, pages 3017–3019, Oberwolfach, October 2012. doi:10.4171/OWR/2012/50

2 of 5 GRANT PARTICIPATION, • Polish Mathematical Society Prize for Young Mathematicians, 2016 SCHOLARSHIPS • Shortlisted for Open Mind Prize, 2018 AND AWARDS • ERC Consolidator grant: Ergodic Theory and Additive Combinatorics Duration: 2016–2021 PI: Tamar Ziegler Function: research team member (2017–present) • Clarendon Fund and St John’s College Kendrew Scholarship, Oxford, 2013–2017 • National Science Centre grant Sonata bis Ergodic theory and its applications in dynamics, arithmetic, and algebra Duration: 2013–2018 PI: Dominik Kwietniak Function: research team member

SELECTED CONFERENCES, • Combinatorial and Additive Number Theory Conference SEMINAR TALKS New York, 3 June 2020 AND WORKSHOPS Talk title: Automatic multiplicative sequences • Scientific Colloquium of the Croatian Mathematical Society Zagreb, 23 October 2019 Talk title: Automatic sequences, nilsystems, and higher order Fourier analysis • Dynamics, Equations and Applications Conference Kraków, 16–20 September 2019 Talk title: Automatic sequences, nilsystems, and higher order Fourier analysis • Jubilee Congress for the 100th anniversary of the Polish Mathematical Society Kraków, 3–7 September 2019 Talk title: Automatic sequences, nilsystems, and higher order Fourier analysis • 6th International Conference on Uniform Distribution Theory CIRM, Luminy (Marseille), 1 – 5 October 2018 Talk title: Automatic and q-multiplicative sequences through the lens of higher order Fourier analysis • 7th Polish Combinatorial Conference B˛edlewo, 24–28 September 2018 Talk title: Digital sequences from the perspective of additive combinatorics • 8th Congress of Polish Mathematicians Maria Curie-Skłodowska University, Lublin, 18–22 September 2017 Plenary talk: Automatic sequences through the lens of Higher order Fourier analysis Session talk: Automatic sequences, generalised polynomials & nilmanifolds • Mini course in CCNU Central China Normal University, Wuhan, 8–11 August 2017 Talk series title: An introduction to Higher order Fourier analysis, a series of three lectures • Combinatorial Theory Seminar University of Oxford, 24 January 2017 Talk title: Gowers norms of the Thue-Morse and other automatic sequences

3 of 5 • Wandering Seminar Jagiellonian University, Kraków, 19–22 May 2016 Talk title: Combinatorial properties of Nil-Bohr sets of integers • Additive Combinatorics in Bordeaux Bordeaux University, 11–15 April 2016 Talk title: Combinatorial properties of Nil-Bohr sets • Number Theory Day University of Oxford, 28 October 2015 Talk title: Nil-Bohr sets of integers

• XVI International Workshop for Young Mathematicians “Ergodic Theory and Dynamical Systems” Jagiellonian University, Kraków, 15–21 September 2013 Talk title: Applications of ultrafilters in ergodic theory

• Arbeitsgemeinschaft: Ergodic Theory and Combinatorial Number Theory Oberwolfach (Germany), 7–13 October 2012 Talk title: Markov Processes and Ramsey Theory for Trees

TEACHING University of Oxford EXPERIENCE Tutor May – June 2016 • Ergodic theory (graduate course, revision classes) Teaching assistant January – March 2015 • Probabilistic combinatorics (graduate course, tutor: Przemysław Mazur)

Tutor October – December 2014 • Ergodic theory (graduate course, lecturer: Ben Green) Teaching assistant October – December 2014 • Analytic number theory (graduate course, tutor: Eugen Keil)

Teaching assistant January – March 2014 • Graph theory (undergraduate course, tutor: Ross Atkins) Teaching assistant October – December 2013 • Banach spaces (undergraduate course, tutor: Po Lam Yung) • Logic (undergraduate course, tutor: Robin Knight)

POPULARAND CONTEST • Monthly popular mathematics column in regional magazine Kronika Boche´nska MATHEMATICS Bochnia (Poland), September 2014 – present • Mathematics blog Maths with a Pinch of Salt (in Polish)

• 22nd International Mathematics Competition for University Students Blagoevgrad (Bulgaria), 27 July – 2 August 2015 Team leader for Jagiellonian University

4 of 5 • Science: Polish Perspectives, a popular science conference Oxford, 24–25 October 2014 Poster title: Structure and randomness — a fundamental dichotomy • 21st International Mathematics Competition for University Students Blagoevgrad (Bulgaria), 29 July – 4 August 2014 Team leader for Jagiellonian University • 20th International Mathematics Competition for University Students Blagoevgrad (Bulgaria), 6–12 August 2013 Team leader for Universiteit van Amsterdam

• Preparation classes for 20th International Mathematics Competition Universiteit van Amsterdam, January – July 2013 • Science: Polish Perspectives, a popular science conference Oxford, 19–21 October 2012 Talk title: A gentle introduction to non-standard analysis

5 of 5