Ajit Bhand

Department of Mathematics
Indian Institute of Science Education and Research Bhopal

Office: 312, Infinity Building

Phone: (0755)6691269

E-mail: abhand[at]iiserb[dot]ac[dot]in

Teaching and outreach

[Fall 2023: MTH410 Representation Theory] [Winter 2024:MTH 324/424 Mathematical methods of classical mechanics]

Me and Atreyee Bhattacharya are organizing the Problem solving seminar this year.

I am also involved with the Math Circles of India initiative.

Research Interests

Differential geometry: connections on principal bundles, symmetry and reduction of mechanical systems

Algebra and number theory: modular forms, class groups of number fields, representation theory of GL(n) over finite and local fields

Other interests: Hausdorff measure of self-similar sets, applications of number theory to physics

Research supported by the SERB grant MTR/2019/000582. 

Selected Publications and Preprints

Mock modularity in CHL models (with Ashoke Sen and Ranveer Kumar Singh) arXiv e-print 

Maass lifts of half-integral weight Eisenstein series and theta powers (with Karam Deo Shankhadhar and Ranveer Kumar Singh), Pacific Journal of Mathematics, Vol. 321 (2022), No. 1, 1–43. 

Bhargava's cube and Black Hole Charges (with Nabamita Banerjee, Suvankar Dutta, Ashoke Sen and Ranveer Kumar Singh), Research in the Mathematical Sciences, 8 (2021), no. 1, 3. 

Zagier's 3/2-weight mock modular form (with Ranveer Kumar Singh), preprint.

Dualizing involutions on the metaplectic GL(2) (with Kumar Balasubramanian), Journal of Pure and Applied Algebra , 225 (2021), no. 1, 106479, 15 pp.

A note on lower bounds of heights of non-zero Fourier coefficients of Hilbert cusp forms (with Sanoli Gun and P. Rath), Archiv der Mathematik, 114 (2020), no. 3, 285–298.

Class numbers of quadratic fields (with M. Ram Murty), Hardy-Ramanujan Journal, 42 (2019), 17-25.

Dirichlet series attached to quasimodular forms (with Karam Deo Shankhadhar). Journal of Number Theory, 202 (2019), 91–106.

Geodesic reduction via frame bundle geometry. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 6 (2010), 020, 17 pages.


Naveen Kumar (Ph.D.), ongoing

Gurleenkaur Nanda (BS-MS Thesis), Representation theoretic characterization of particles, 2021-22.

Koustav Mondal (BS-MS Thesis), Universal quadratic forms , 2020-21

Ranveer Kumar Singh (BS-MS Thesis), Applications of number theory in string theory, 2019-20 

Antony James(BS-MS Thesis), Bhargava's cubes and higher composition laws, 2018-19.

Ashok Kumar (BS-MS Thesis), Sieves in number theory. 2017-18

Merin Abraham (BS-MS Thesis), Dynamics of singularly perturbed polynomials, 2016-17.

Sweta Pandey (BS-MS Thesis), Estimation of Hausdorff measure of fractals, 2014-15.