Felipe A. Ramírez

My research is in Diophantine approximation, metric number theory, ergodic theory and dynamical systems, and fractal geometry. Most of my papers are on the arxiv.

1. Duffin–Schaeffer examples, real residue systems, and Bohr-set primes
   with S. M. Hesseling
   Submitted
2. Twisted approximation with restricted denominators
   with M. Hauke
   Submitted
3. The Duffin–Schaeffer conjecture with a moving target
   with M. Hauke
   Submitted
4. General Duffin–Schaeffer-type counterexamples in Diophantine approximation
   with S. Chow, M. Hauke, and A. Pollington
   Mathematika, Special Wooley Issue, to appear
5. Metric bootstraps for limsup sets
   Transactions of the American Mathematical Society, 2026
   
6. Toward Khintchine's theorem with a moving target: extra divergence or finitely centered target
   with G. Michaud
   Mathematika, 2026
7. Inhomogeneous approximation for systems of linear forms with primitivity constraints
   with D. Allen
   Mathematische Zeitschrift, 2025
8. The Duffin–Schaeffer conjecture for systems of linear forms
   Journal of the London Mathematical Society, 2024
9. Independence inheritance and Diophantine approximation for systems of linear forms
   with D. Allen
   International Mathematics Research Notices, 2023
10. Diophantine approximation in metric space
    with J. Fraser, H. Koivusalo
    Bulletin of the London Mathematical Society, 2023
11. Dirichlet is not just bad and singular
    with V. Beresnevich, L. Guan, A. Marnat, S. Velani
    Advances in Mathematics, 2022
12. Remarks about inhomogeneous pair correlations
    Mathematical Proceedings of the Cambridge Philosophical Society, 2022
13. A note on sequences not having metric Poissonian pair correlations
    Archiv der Mathematik, 2021
14. Khintchine's theorem with random fractions
    Mathematika, 2020
15. A characterization of bad approximability
    Nonlinearity, 2018
16. Recurrence to shrinking targets on typical self-affine fractals
    with H. Koivusalo
    Proceedings of the Edinburgh Mathematical Society, 2018
17. Rational approximation of affine coordinate subspaces of Euclidean space
    with D. S. Simmons, F. Sueess
    Acta Arithmetica, 2017
18. Different speeds suffice for rendezvous of two agents in arbitrary graphs
    with E. Kranakis, D. Krizanc, E. Markou, A. Pagourtzis
    SOFSEM, 2017
19. Counterexamples, covering systems, and zero-one laws for inhomogeneous approximation
    International Journal of Number Theory, 2017
20. Higher cohomology of parabolic actions on certain homogeneous spaces
    Journal d'Analyse Mathematique, 2017
21. Metric Diophantine Approximation: aspects of recent work
    with V. Beresnevich, S. Velani
    LMS Lecture Notes Series, 2016
22. Khintchine types of translated coordinate hyperplanes
    Acta Arithmetica, 2015
23. Limit theorems for rank-one Lie groups
    with A. Gorodnik
    Proceedings of the American Mathematical Society, 2014
24. Invariant distributions and cohomology for geodesic flows and higher cohomology of higher-rank Anosov actions
    Journal of Functional Analysis, 2013
25. Higher cohomology for Anosov actions on certain homogeneous spaces
    Journal d'Analyse Mathematique, 2013
26. Cocycles over higher-rank abelian actions on quotients of semisimple Lie groups
    Journal of Modern Dynamics, 2009