Dr. Abhitosh Upadhyay

Designation : Assistant Professor

Broad Area of Expertise : Mathematics

Email : abhitosh{at}iitgoa.ac.in

Contact Number : 0832-2490-119

Address : F-3, IT Building

Personal Page

Educational Qualifications

Ph.D. in Mathematics from GGSIP University, New Delhi, India in November, 2014

Areas of Research

Differential Geometry, Complex Geometry

Courses Taught

MTH610 : Measure Theory and Integration (Autumn 2020)

MTH101: Calculus (Autumn 2021)

MTH212 : Multivariate Calculus (Spring 2021, 2022)

Professional Appointments

  1. Assistant Professor (Grade I), IIT Goa, 24 August 2020 till present
  2. Post-doctoral Fellow from IISER, Tirupati, India (February, 2020 to August, 2020)
  3. Research Associate from IISc Bangalore, India under J. C. Bose Fellowship of Professor Gadadhar Misra (November, 2019 to January, 2020)
  4. National Post-doctoral Fellow from IISc, Bangalore, India (November, 2017 to October, 2019)
  5. Post-doctoral Fellow from Harish Chandra Research Institute, Prayagraj, India (July, 2014 to June, 2017)

Recent Publications

Complex Geometry

  1. On the relative opers in dimension one, Forum Mathematicum, DOI: 10.1515/forum-2021-0225, (2022). (with Anoop Singh)

Differential Geometry

  1. A note on starshaped hypersurfaces with almost constant mean curvature in space forms. 2022. (submitted). (with Julien Roth)
  2. On compact embedded Weingarten hypersurfaces in warped products. 2022. hal-03682396 (submitted). (with Julien Roth)
  3. Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds, Annals of Global Analysis and Geometry, Accepted (2022). (with Fernando Manfio and Julien Roth)
  4. Anisotropic eigenvalues upper bounds for hypersurfaces in weighted Euclidean spaces, Differential Geometry and its applications, 74, (2021). (with Julien Roth)
  5. $\lambda$-Hypersurfaces on shrinking gradient Ricci solitons, Journal of Mathematical Analysis and Applications, 492(2), 1-18, (2020). (with Ezequiel Barbosa and Farley Santana)
  6. On stable CMC free-boundary surfaces in a strictly convex domain of a bi-invariant Lie group, International Journal of Mathematics, 31(11), 2050086, (2020). (with Ezequiel Barbosa and Farley Santana)
  7. f-biharmonic submanifolds of generalized space forms, Results in Mathematics, 75(20), 1-25, (2020). (with Julien Roth)
  8. On almost stable CMC hypersurfaces in manifolds of bounded sectional curvature, Bulletin of Australian Mathematical Society, 101(2), 333-338, (2020). (with Julien Roth)
  9. On compact anisotropic Weingarten hypersurfaces in Euclidean space, Archiv der Mathematik, 113(2), 213-224, (2019). (with Julien Roth)
  10. A classification of biconservative hypersurafces in a Riemannin space forms, Mathematische Nachrichten, 292(4), 905-921, (2019). (with Nurettin Cenk Turgay)
  11. Biconservative submanifolds in $S^n\times R$ and $H^n\times R$, The Journal of Geometric Analysis, 29(1), 283-298, (2019). (with Fernando Manfio and Nurettin Cenk Turgay)
  12. Biharmonic submanifolds of generalised space forms, Differential Geometry and its Applications, 50, 88-104, (2017). (with Julien Roth)
  13. A classification of biconservative hypersurfaces in a pseudo-Euclidean space, Journal of Mathematical Analysis and Applications, 444(2), 1703-1720, (2016). (with Nurettin Cenk Turgay)

Recognition and Awards

1. Awarded MATRICS grant (MTR/2021/000491) by Science and Engineering Research Board (SERB), Government of India (2022)

2. Travel support from Indo-French Program for Mathematics, Laboratoire International Associé of CNRS to visit Professor Julien Roth, Université Gustave Eiffel, France and Professor Charles Boubel, University of Strasbourg, France (2018)

3. Travel grant from Science and Engineering Research Board (SERB), Government of India to attend Harmonic Maps Workshop in France (2017)

4. Travel support from Harish-Chandra Research Institute, Prayagraj, India to attend a workshop on the theory of submanifolds in Istanbul Technical University, Turkey (2016)

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