IIT Gandhinagar: 10 Years of ExcellenceNews

Arnab Saha


Arnab Saha

Assistant Professor, Mathematics

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

  • 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.Isocrystals associated to arithmetic jet spaces of abelian schemes (with J. Borger), to appear in Advances in Mathematics, arXiv:1712.09346.
    2. Differential characters of Drinfeld modules and de Rham cohomology (with J. Borger), to appear in Algebra and Number Theory, arXiv:1703.05677.
    3. Differential modular forms over totally real fields of non zero integral weights (with D. Banerjee), submitted, arXiv:1806.00191.
    4. On Frobenius and Fibers of Arithmetic Jet Spaces (with J. Borger), arXiv:1703.07010.
    5. Lift of Frobenius and descent to constants, arXiv:1703.06479.
    6. Invariant rational forms for correspondences of curves, Journal of Number Theory 143:170-184, 2014.
    7. 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.
    8. Hecke operators on differential modular forms mod p (with A. Buium), Journal of Number Theory 132(5):966-997, 2012.
    9. The ring of differential Fourier expansions (with A. Buium), Journal of Number Theory 132(5):896-937, 2012.
    10. 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.