IIT Gandhinagar: 10 Years of ExcellenceNews


Arnab Saha

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Arnab Saha

Assistant Professor , Mathematics

  • BSc: Chennai Mathematical Institute, 2004
  • MSc: Chennai Mathematical Institute, 2006
  • PhD: University of New Mexico, 2012

Website : https://sites.google.com/view/arnab-saha



  • Work Experience

    • Visiting Fellow, Max Planck Institute, Bonn, Germany (2018 - present)
    • Visiting Fellow,Indian Statistical Institute, Bangalore (2018 - 2018)
    • Postdoctoral Fellow, Australian National University, Australia (2012 - 2018)
    • Teaching Assistant, University of New Mexico, USA (2006 - 2012)

  • Selected Publications

    1. Arithmetic Jet Spaces (with A. Bertapelle and E. Previato), arXiv:2003:12269 (submitted)

    2. Differential modular forms over totally real fields of non zero integral weights (with D. Banerjee), arXiv:1806.00191 (submitted)

    3. Isocrystals associated to arithmetic jet spaces of abelian schemes (with J. Borger), Advances in Mathematics, 351: 388-428, 2019.

    4. Differential characters of Drinfeld modules and de Rham cohomology (with J. Borger), Algebra and Number Theory, 13(4): 797–837, 2019

    5. Invariant rational forms for correspondences of curves, Journal of Number Theory 143:170-184, 2014.

    6. The first p-jet space of an elliptic curve: global functions and lifts of Frobenius (with A. Buium), Mathematical Research Letters, 21(4):677- 689, 2014.

    7. Hecke operators on differential modular forms mod p (with A. Buium), Journal of Number Theory 132(5):966-997, 2012.

    8. The ring of differential Fourier expansions (with A. Buium), Journal of Number Theory 132(5):896-937, 2012.

    9. Differential Overconvergence (with A. Buium), Algebraic methods in dynamical systems, volume 94 of Banach Center Publications, pages 99-129. Polish Acad. Sci. Inst. Math., Warsaw, 2011.