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Welcome!
Welcome!
I am a tenure-track Assistant Professor at the University of Wisconsin-Madison. From 2022 to 2025, I was a Hirzebruch Research Instructor with joint appointments at the University of Bonn and the Max Planck Institute for Mathematics. In addition, from 2024–2025, I was a research visitor at the University of Edinburgh with an Argelander Mobility Grant. I also obtained my Ph.D. from UW-Madison in 2022, where I was advised by Andreas Seeger. Before that, I completed an Integrated Master of Science in Mathematics from NISER, Bhubaneswar.
My research interest lies broadly in Harmonic Analysis, both Euclidean and on the Heisenberg group. Of late, I have also become interested in applications of oscillatory integral techniques to number theory; in particular, to count rational points near submanifolds. My research is supported by NSF 2554830.
Please click here for a copy of my CV. You can contact me at rsrivastava9 (at) wisc (dot) edu. My office is at Van Vleck 805.
Papers (in reverse chronological order):
(with Sam Chow, Niclas Technau and Han Yu) Rational Points in Hyperbolic Regions and Multiplicative Diophantine Approximation on Manifolds. arXiv version
(with Jonathan Hickman and James Wright) Counting rational points near manifolds: a refined estimate, a conjecture and a variant. arXiv version
(with Jonathan Hickman) Counting integral points near space curves: a Fourier analytic approach. IMRN (2025). arXiv version, journal version
(with Krystal Taylor) Counting Lattice Points near Korányi Spheres via Generalized Radon Transforms. JFAA (2026). arXiv version
Counting Rational Points In Non-Isotropic Neighborhoods of Manifolds. Advances in Mathematics (2025). arXiv version, journal version
Why Oscillation Counts: Diophantine Approximation, Geometry and the Fourier Transform. Oberwolfach snapshot (2025). published version.
(with Lars Becker, Floris van Doorn, Asgar Jamneshan and Christoph Thiele) Carleson Operators on Doubling Metric Measure Spaces. arXiv version, Lean blueprint
(with Damaris Schindler and Niclas Technau) Rational Points Near Manifolds, Homogeneous Dynamics, and Oscillatory Integrals. arXiv version
(with Niclas Technau) Density of Rational Points Near Flat/Rough Hypersurfaces. Memoirs of the A.M.S. (to appear). arXiv version
(with Joris Roos and Andreas Seeger) Spherical maximal functions on Heisenberg groups: Restricted dilation sets. Studia Mathematica (2023). arXiv version, journal version
On the Korányi spherical maximal function on Heisenberg groups. Mathematische Annalen (2022). arXiv version, journal version
(with Joris Roos and Andreas Seeger) Lebesgue space estimates for spherical maximal functions on Heisenberg groups. IMRN (2022), arXiv version, journal version
Orthogonal systems of spline wavelets as unconditional bases in Sobolev spaces. Mathematische Nachrichten (2022). arXiv version, journal version
A Cotlar type maximal function associated with Fourier multipliers. JMAA (2020), arXiv version, journal version
Upcoming Talks/Travel:
May 18 - May 22: Workshop on Discrete Harmonic Analysis and Analytic Number Theory, Erdős Center, Rényi Institute, Budapest, Hungary.
May 24 - May 29: Group Actions and Harmonic Analysis in Number Theory, Oberwolfach, Germany.
June 2 - June 6: Great Ideas Seminar, Lodha Genius Program, Ashoka University, India.
June 17 - 19: Dynamics and Number Theory 2026, University of Sydney, Australia.
June 22 - July 3: Ergodic Theory, Diophantine Approximation and Related Topics 2026, MATRIX research institute, Victoria, Australia.
July 2 - 4: Invited Speaker, 26th Rencontres Économiques d’Aix-en-Provence, France.
Aug 3-7: IWOTA (an ICM Satellite Conference): Special Session on Geometric Inequalities in Harmonic Analysis, Université Laval, Québec, Canada.
Sep 9 - Nov 6: Interactions between Fractal Geometry, Harmonic Analysis, and Dynamical Systems, Institut Mittag-Leffler, Stockholm, Sweden.
Nov 30 - Dec 4: Frontiers in Mathematics Lectures, Duke University, USA.
Dec 21 - Jan 1, 2027: Workshop on The Geometry of Sparse Sets, International Centre for Theoretical Sciences, Bengaluru, India.
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