Florian Richter
Website: https://www.epfl.ch/labs/erg/
Research
Research Fields
Ergodic Theory, Combinatorics, Number Theory
List of Publications
- Sums and products in sets of positive density
Florian K. Richter
submitted, 35 pages
link ↗ - Asymptotic independence of Ω(n) and Ω(n+1) along logarithmic averages
Dimitrios Charamaras, Florian K. Richter
submitted, 44 pages
link ↗ - The Density Finite Sums Theorem
Bryna Kra, Joel Moreira, Florian K. Richter, Donald Robertson
to appear in Inventiones mathematicae, 28 pages
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 applications
Vitaly Bergelson, Joanna Kułaga-Przymus, Mariusz Lemańczyk, Florian K. Richter
Discrete and Continuous Dynamical Systems, Volume 39 (2019), Number 5, pp. 2581–2612
link ↗ - 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 Theorem
John H. Johnson, Florian K. Richter
Advances in Mathematics, Volume 321 (2017), pp. 269--286
link ↗ - Large subsets of discrete hypersurfaces in ℤ^d contain arbitrarily many collinear points
Joel Moreira, Florian K. Richter
European Journal of Combinatorics, Volume 54 (2016), pp. 163--176
link ↗
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
Current Phd
Jovan Andreevski, Felipe Osiel Hernández Castro
Past Phd As Director
Courses
Analysis II (English)
The course studies fundamental concepts of analysis and the calculus of functions of several variables.
Ergodic theory
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
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.