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Welcome!
Welcome!
Since Fall 2025, 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.
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. Please click here for a copy of my CV.
You can contact me at
rajulas (at) math (dot) uni-bonn (dot) de rsrivastava9 (at) wisc (dot) edu.
My office is at Van Vleck 805.
In Fall 2025, I am teaching Math 221: Calculus and Analytical Geometry (see the Canvas page), and co-organizing the Graduate Analysis Seminar.
Papers (in reverse chronological order):
Counting integral points near space curves: a Fourier analytic approach (with Jonathan Hickman). International Mathematics Research Notices (to appear). arXiv version.
Counting Lattice Points near Korányi Spheres via Generalized Radon Transforms (with Krystal Taylor). 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 (expository article, submitted to Oberwolfach snapshots). preprint.
Carleson Operators on Doubling Metric Measure Spaces (Lean blueprint, with Lars Becker, Floris van Doorn, Asgar Jamneshan and Christoph Thiele). arXiv version.
Rational Points Near Manifolds, Homogeneous Dynamics, and Oscillatory Integrals (with Damaris Schindler and Niclas Technau). arXiv version.
Density of Rational Points Near Flat/Rough Hypersurfaces (with Niclas Technau). arXiv version.
Spherical maximal functions on Heisenberg groups: Restricted dilation sets (with Joris Roos and Andreas Seeger). Studia Mathematica (2023). arXiv version, journal version.
On the Korányi spherical maximal function on Heisenberg groups. Mathematische Annalen (2022). arXiv version, journal version (online).
Lebesgue space estimates for spherical maximal functions on Heisenberg groups (with Joris Roos and Andreas Seeger). International Mathematics Research Notices (2021). 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. Journal of Mathematical Analysis and Applications (2020): 124172. arXiv version, journal version.
Upcoming Talks/Travel:
Sep 23: Mathematics Colloquium, IIT-Jammu, India.
Oct 23: Mathematics Colloquium, BITS-Pilani, Hyderabad, India.
Dec 16 - Dec 19: Discussion Meeting in Harmonic Analysis 2025, IISER Mohali, India.
May 18 - May 22, 2026: Workshop on Discrete Harmonic Analysis and Analytic Number Theory, Erdős Center, Rényi Institute, Budapest, Hungary.
June 7 - 13, 2026: Geometric Harmonic Analysis in the Discrete and Continuous Settings, BIRS-IMAG, Spain.
Sep - Dec, 2026: Interactions between Fractal Geometry, Harmonic Analysis, and Dynamical Systems, Institut Mittag-Leffler, Stockholm, Sweden.
Education:
2017-2022: PhD in Mathematics, University of Wisconsin-Madison.
2012-2017: Integrated Master of Science (Mathematics), National Institute of Science Education and Research, Bhubaneswar, India.
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