I am a postdoc at:
Uppsala University,
Uppsala, Sweden
I am currently working with Prof. Andreas Strömbergsson and Prof. Anish Ghosh. I work on Ergodic Theory, Homogeneous Dynamics, and Number Theory, in particular on Diophantine approximation.
Email: mahbub.dta@gmail.com
Here is my Curriculum Vitae.
Adelic Rogers' formula and an application, Mahbub Alam and Andreas Strömbergsson, preprint, arxiv: 2401.13476
Higher moment formulae and limiting distributions of lattice points, Mahbub Alam, Anish Ghosh, and Jiyoung Han, published by Journal of the Institute of Mathematics of Jussieu, arxiv: 2111.00848
Quantitative Rational Approximation on Spheres, Mahbub Alam and Anish Ghosh, published by Selecta Mathematica, arxiv: 2003.02243
Quantitative Diophantine Approximation with Congruence Conditions, Mahbub Alam, Anish Ghosh, and Shucheng Yu, published by Journal de Théorie des Nombres de Bordeaux, arxiv: 2011.06360
Equidistribution on Homogeneous Spaces and the Distribution of Approximates in Diophantine Approximation, Mahbub Alam and Anish Ghosh, published by Transactions of the American Mathematical Society, arxiv: 1902.06530
Diophantine approximation by restricted rationals over number fields at the University of Gothenburg and Chalmers University of Technology, Summer 2024.
Rogers' moment formulae on the homogeneous space of affine lattices at Group Actions, Geometry and Dynamics at Ohalo, Israel, Summer 2022.
Some limit theorems in sphere packing and lattice point counting problem at ISI, Kolkata, Spring 2022.
Intrinsic diophantine approximation on spheres (Research talk) at Expanding Dynamics – Creative Online Ventures in Dynamics – 6, CMM, University of Chile, Fall 2020.
Homogeneous Dynamics and Diophantine Approximation at TIFR, Fall 2020.
Quantitative rational approximation on spheres at TIFR, Spring 2020.
Equidistribution on homogeneous spaces and the distribution of approximates in Diophantine approximation at Annual talks, TIFR, Spring 2019.
Siegel's mean value theorem and Rogers' moment formulae at TIFR, Fall 2018.
Distribution modulo one and Ratner's theorem at TIFR, Spring 2018.
13) International Colloquium on randomness, geometry, and dynamics (second week) at IISER Pune, India, 8th - 12th Jan 2024
12) 29th Nordic Congress of Mathematicians at Aalborg University, Denmark, 3rd - 7th Jul 2023
11) Ergodic Theory and Dynamical Systems at ICTS Bengaluru, India, 05th - 16th Dec 2022
10) Group Actions, Geometry and Dynamics at Tel Aviv University & Ohalo, Israel, 10th - 15th Jul 2022
9) Smooth and Homogeneous Dynamics at ICTS Bengaluru, India, 23rd Sept - 4th Oct 2019
8) Discussion meeting on Ergodic Geometry at TIFR, Mumbai, India, 25th - 29th Mar 2019
7) Probabilistic Methods in Negative Curvature at ICTS Bengaluru, India, 11th - 22nd Mar 2019
6) Winter School and Workshop on Local Statistics of Point Sequences at Johannes Kepler Universität, Austria, 25th Feb - 1st Mar 2019
5) AIS (Advanced Instructional School) on Harmonic Analysis at NISER Bhubaneswar, India, 17th Dec 2018 - 5th Jan 2019
4) Arbeitsgemeinschaft: Rigidity of Stationary Measure at MFO, Oberwolfach Research Institute for Mathematics, Germany, 7th - 12th Oct 2018
3) AIS (Advanced Instructional School) on Ergodic Theory and Dynamical Systems at IIT Delhi, India, 4th - 23rd Dec 2017
2) GIAN workshop on Class Field Theory at IISER Thiruvananthapuram, India, Dec 2016
1) Differential Topology and Hyperbolic Geometry at ISI Kolkata, India, 14th - 21st Dec 2015