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I am an Integrated Ph.D. student at the Tata Institute of Fundamental Research, Mumbai under the supervision of Prof. Anish Ghosh and Prof. Jens Marklof. My research interests lie in Homogeneous dynamics, Diophantine approximation, and Ergodic theory.
I am an Integrated Ph.D. student at the Tata Institute of Fundamental Research, Mumbai under the supervision of Prof. Anish Ghosh and Prof. Jens Marklof. My research interests lie in Homogeneous dynamics, Diophantine approximation, and Ergodic theory.
Here is my CV.
Preprints and Publications
Preprints and Publications
Lévy-Khintchine Theorems: effective results and central limit theorems
Joint work with Anish Ghosh, arXiv: 2504.20718
Dimension bounds for singular affine forms
arXiv: 2501.01713 (Submitted)
On the packing dimension of weighted singular matrices on fractals
Joint work with Anish Ghosh, arXiv: 2412.11658 (Submitted)
Non-expanding random walks on homogeneous spaces and diophantine approximation
Joint work with Anish Ghosh, arXiv: 2406.15824 (Submitted)
A generalized Lévy-Khintchine theorem
Joint work with Anish Ghosh, arXiv: 2408.15683 (Submitted)
Counting and joint equidistribution of approximates
Joint work with Anish Ghosh, arXiv: 2401.02747 (Submitted)
Two central limit theorems in diophantine approximation
Joint work with Anish Ghosh, arXiv: 2306.02304 (Submitted)
Division algorithm and Kronecker's approximation theorem
Joint work with Jitender Singh, The Journal of Analysis 29 (2021), no. 1, 207-216
Seminar/Conference Talks:
Seminar/Conference Talks:
Singular matrices on fractals, New England Dynamics and Number Theory Seminar (Online) (Dec 2024) Video
Singular matrices on fractals, Current Outlook on Geometry, Ergodic Theory and Number Theory, TIFR Mumbai, India (Nov 2024)
Ratner's theorem on SL(2,R)-invariant measures, Infosys Chandrasekharan Random Geometry Colloquium, TIFR Mumbai, India (Sept 2024)
Joint Equidistribution of Approximates, Diophantine Approximation, Fractal Geometry and Related topics, University of Paris-Est Marne-la-Vallée, France (June 2024)
Joint Equidistribution of Approximates, Dynamics and Number Theory, Jagiellonian University, Poland (May 2024)
An introduction to random walks on homogeneous spaces, Infosys Chandrasekharan Random Geometry Colloquium, TIFR Mumbai, India (April 2024)
Joint Equidistribution of Approximates, New England Dynamics and Number Theory Seminar (Online) (March 2024) Video
Joint Equidistribution of Approximates, Annual Talks 2024, TIFR Mumbai, India (March 2024)
Two central limit theorems in diophantine approximation, TIFR Mumbai, India. (June 2023)
Dynamics and Mathematics, National Mathematics day, Guru Nanak Dev University, India. (Feb 2019)
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