Florian Karl Richter

Curriculum vitae You can download my CV here ResearchResearch Fields Ergodic Theory, Combinatorics, Number TheoryList of Publications Open-access preprints and e-prints of all my publications are freely available on arXiv ↗ .An inverse theorem for sumsets of sets of positive density in the integersEthan Ackelsberg, Florian K. Richter submitted, 117 pageslink ↗Weighted averages of arithmetic functions and applications to equidistributionVitaly Bergelson, Michael Reilly, Florian K. Richter submitted, 29 pageslink ↗No Constant-Cost Protocol for Point--Line IncidenceMika Göös, Nathaniel Harms, Florian K. Richter, Anastasia Sofronova submitted, 17 pageslink ↗A short proof of Erd{\H o}s's $B+C$ conjectureBryna Kra, Joel Moreira, Florian K. Richter, Donald Robertson submitted, 8 pageslink ↗Van der Waerden's theorem on arithmetic progressions -- a survey of some historical and modern developmentsVitaly Bergelson,  Florian K. Richter submitted, 49 pageslink ↗Asymptotic independence of Ω(n)  and Ω(n+1) along logarithmic averagesDimitrios Charamaras, Florian K. Richtersubmitted, 44 pageslink ↗A structure theorem for polynomial return-time sets in minimal systemsDaniel Glasscock, Andreas Koutsogiannis, Anh N. Le, Joel Moreira, Florian K. Richter, Donald Robertsonto appear in Transactions of the American Mathematical Society, 33 pageslink ↗Sums and products in sets of positive densityFlorian K. Richterto appear in Algebra & Number Theory, 35 pageslink ↗The Density Finite Sums Theorem Bryna Kra, Joel Moreira, Florian K. Richter, Donald Robertson Inventiones mathematicae, Volume 243 (2026), pp.~1-31 link ↗Problems on infinite sumset configurations in the integers and beyond Bryna Kra, Joel Moreira, Florian K. Richter, Donald Robertson Bulletin of the American Mathematical Society, Vol. 26 (2025), Nr. 4, pp. 537–574 link ↗Interpolation sets for dynamical systems Andreas Koutsogiannis, Anh N. Le, Joel Moreira, Ronnie Pavlov, Florian K. Richter Transactions of the American Mathematical Society, Vol. 378 (2025), Nr. 2, pp. 1373–1400 link ↗A proof of Erdős’s B+B+t conjecture Bryna Kra, Joel Moreira, Florian K. Richter, Donald Robertson Communications of the American Mathematical Society, Volume 4 (2024), pp. 480–494 link ↗On the local Fourier uniformity problem for small sets Adam Kanigowski, Mariusz Lemańczyk, Florian K. Richter, Joni Teräväinen International Mathematics Research Notices, Volume 2024, Issue 15, pp. 11488–11512 link ↗On the maximal spectral type of nilsystems Ethan Ackelsberg, Florian K. Richter, Or Shalom Proceedings of the American Mathematical Society, Series B, Vol. 11 (2024), pp. 469–480 link ↗A spectral refinement of the Bergelson-Host-Kra decomposition and new multiple ergodic theorems — CORRIGENDUM Joel Moreira, Florian K. Richter Ergodic Theory and Dynamical Systems, Volume 44 (2024), Issue 6, pp. 1724–1728 link ↗Infinite Sumsets in Sets with Positive Density Bryna Kra, Joel Moreira, Florian K. Richter, Donald Robertson Journal of the American Mathematical Society, Volume 37 (2024), pp. 637–682 link ↗Additive and geometric transversality of fractal sets in the integers Daniel Glasscock, Joel Moreira, Florian K. Richter Journal of the London Mathematical Society, Volume 109 (2024), Issue 5, e12902 link ↗Multiple ergodic averages along functions from a Hardy field: convergence, recurrence and combinatorial applications Vitaly Bergelson, Joel Moreira, Florian K. Richter Advances in Mathematics, Volume 443 (2024), 109597 link ↗Zero-one laws for eventually always hitting points in mixing systems Dmitry Kleinbock, Ioannis Konstantoulas, Florian K. Richter Mathematical Research Letters, Volume 30 (2023), Number 3, pp. 765–805 link ↗Disjointness for measurably distal group actions and applications Joel Moreira, Florian K. Richter, Donald Robertson Ergodic Theory and Dynamical Systems, Volume 43 (2023), Issue 6, pp. 1952–1979 link ↗A combinatorial proof of a sumset conjecture of Furstenberg Daniel Glasscock, Joel Moreira, Florian K. Richter Combinatorica, Volume 43 (2023), pp. 299–328 link ↗Uniform distribution in nilmanifolds along functions from a Hardy field Florian K. Richter Journal d’Analyse Mathématique, Volume 149 (2023), pp. 421–483 link ↗Dynamical generalizations of the Prime Number Theorem and disjointness of additive and multiplicative semigroup actions Vitaly Bergelson, Florian K. Richter Duke Mathematical Journal, Volume 171 (2022), Number 15, pp. 3133–3200 link ↗On Katznelson's Question for skew product systems Daniel Glasscock, Andreas Koutsogiannis, Florian K. Richter Bulletin of the American Mathematical Society, Volume 59 (2022), Number 4, pp. 569–606 link ↗A new elementary proof of the Prime Number Theorem Florian K. Richter Bulletin of the London Mathematical Society, Volume 53 (2021), Issue 5, pp. 1365–1375 link ↗Structure of multicorrelation sequences with integer part polynomial iterates along primes Andreas Koutsogiannis, Anh N. Le, Joel Moreira, Florian K. Richter Proceedings of the American Mathematical Society, Volume 149 (2021), Number 1, pp. 209–216 link ↗A decomposition of multicorrelation sequences for commuting transformations along primes Anh N. Le, Joel Moreira, Florian K. Richter Discrete Analysis, 2021:4, 27 pages link ↗Single and multiple recurrence along non-polynomial sequences Vitaly Bergelson, Joel Moreira, Florian K. Richter Advances in Mathematics, Volume 368 (2020), 107146 link ↗A Structure Theorem for Level Sets of Multiplicative Functions and Applications Vitaly Bergelson, Joanna Kułaga-Przymus, Mariusz Lemańczyk, Florian K. Richter International Mathematical Research Notices, Volume 2020 (2020), Issue 5, pp. 1300–1345 link ↗A proof of a sumset conjecture of Erdős Joel Moreira, Florian K. Richter, Donald Robertson Annals of Mathematics, Volume 189 (2019), Number 2, pp. 605–652 link ↗Multiplicative combinatorial properties of return time sets in minimal dynamical systems Daniel Glasscock, Andreas Koutsogiannis, Florian K. Richter Discrete and Continuous Dynamical Systems, Volume 39 (2019), Number 10, pp. 5891–5921 link ↗Rationally almost periodic sequences, polynomial multiple recurrence and symbolic dynamics Vitaly Bergelson, Joanna Kułaga-Przymus, Mariusz Lemańczyk, Florian K. Richter Ergodic Theory and Dynamical Systems, Volume 39 (2019), Issue 9, pp. 2332–2383 link ↗A generalization of Kátai's orthogonality criterion with applicationsVitaly Bergelson, Joanna Kułaga-Przymus, Mariusz Lemańczyk, Florian K. RichterDiscrete and Continuous Dynamical Systems, Volume 39 (2019), Number 5, pp. 2581–2612link ↗A spectral refinement of the Bergelson-Host-Kra decomposition and new multiple ergodic theorems Joel Moreira, Florian K. Richter Ergodic Theory and Dynamical Systems, Volume 39 (2019), Issue 4, pp. 1042–1070 link ↗ On the density of coprime tuples of the form $(n,\lfloor f_1(n)\rfloor, \ldots, \lfloor f_k(n)\rfloor)$, where $f_1,\ldots,f_k$ are functions from a Hardy field Vitaly Bergelson, Florian K. Richter Number Theory – Diophantine Problems, Uniform Distribution and Applications, Festschrift in Honour of Robert F. Tichy’s 60th Birthday, Springer International Publishing (2017), pp. 109–135 link ↗Revisiting the Nilpotent Polynomial Hales-Jewett TheoremJohn H. Johnson, Florian K. RichterAdvances in Mathematics, Volume 321 (2017), pp. 269--286link ↗Large subsets of discrete hypersurfaces in ℤ^d contain arbitrarily many collinear pointsJoel Moreira, Florian K. RichterEuropean Journal of Combinatorics, Volume 54 (2016), pp. 163--176link ↗All authors are assumed to have contributed equally and are listed in alphabetical order. For further information, please refer to the AMS Culture Statement ↗ on authorship practices in mathematics. Teaching & PhD PhD Students Jovan Andreevski, Felipe Osiel Hernández Castro Past EPFL PhD Students Dimitrios Charamaras Courses Analysis II (English) MATH-106(en) The course studies fundamental concepts of analysis and the calculus of functions of several variables. Ergodic theory MATH-518 This is an introductory course in ergodic theory, providing a comprehensive overlook over the main aspects and applications of this field. Number theory I.c - Combinatorial number theory MATH-337 This is an introductory course to combinatorial number theory. The main objective of this course is to learn how to use combinatorial, topological, and analytic methods to solve problems in number theory.