Dr. Sheela Verma
Assistant Professor
Department/School/Unit Name
Department of Mathematical Sciences
Phone No(s): .
Email: sheela.mat@iitbhu.ac.in
Area of Interest: Spectral Geometry, Analysis on Manifolds, Riemannian Geometry
Present Position:
- Assistant Professor, Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi: August, 2021 - Present.
Former Positions:
- Assistant Professor, Department of Applied Sciences, Indian Institute of Information Technology Allahabad.
- Post-doctoral fellow, TIFR Centre for Applicable Mathematics, Bangalore.
Research Visit:
- Visiting Researcher, Institut de mathématiques, University of Neuchâtel, Neuchâtel, Switzerland.
Education:
- Ph.D., IIT Kanpur (Thesis Advisor: Prof. G. Santhanam).
- M.Sc., IIT Kanpur.
- B.Sc., P. P. N. College, Kanpur.
- Sagar Basak, Anisa Chorwadwala, and Sheela Verma, Sharp bounds for higher Steklov-Dirichlet eigenvalues on domains with spherical holes. arXiv:2312.16889 (2023).
- M Ghosh; Sheela Verma, Reverse Faber-Krahn inequality for the p-Laplacian in Hyperbolic space, Journal of Mathematical Analysis and Applications 527 (2023), no. 1, 127419.
- T V Anoop; Sheela Verma, Szegö-Weinberger type inequalities for symmetric domains in simply connected space forms, Journal of Mathematical Analysis and Applications 515 (2022), no. 2, 126429.
- Bruno Colbois; Sheela Verma, Sharp Steklov upper bound for submanifolds of revolution. Journal of Geometric Analysis 31 (2021), no. 11, 11214–11225.
- Sheela Verma, An isoperimetric inequality for the harmonic mean of the Steklov eigenvalues in hyperbolic space. Archiv der Mathematik (Basel) 116 (2021), no. 2, 193–201.
- Sheela Verma; G. Santhanam, Sharp bounds for Steklov eigenvalues on star-shaped domains. Advances in Pure and Applied Mathematics 11 (2020), no. 2, 47–56.
- Sheela Verma; G. Santhanam, On eigenvalue problems related to the Laplacian in a class of doubly connected domains.Monatshefte für Mathematik 193 (2020), no. 4, 879–899.
- Sheela Verma, An upper bound for the first nonzero Neumann eigenvalue. Journal of Geometry and Physics 157 (2020), 103838.
- Sheela Verma, Upper bound for the first nonzero eigenvalue related to the p-Laplacian. Proc. Indian Acad. Sci. Math. Sci. 130 (2020), no. 1, Paper No. 21.
- Sheela Verma, Bounds for the Steklov eigenvalues. Archiv der Mathematik (Basel) 111 (2018), no. 6, 657–668.
- Principal investigator for CSIR-ASPIRE grant, India (July 24- July 27).
- Principal investigator for the startup research grant (SRG) funded by SERB, India (Dec 22- Dec 24).
- Principal investigator for the SEED grant from IIT(BHU), Varanasi, India.
- Invited speaker at CIMPA schools on geometric structures on surfaces, moduli spaces and dynamics held at BHU.
- Invited speaker at Indian Women and Mathematics (IWM) Annual Conference 2022-2023 held at IISER Pune.
- Invited speaker at the 38th Annual Conference of Ramanujan Mathematical Society (RMS).
- Invited speaker at the International conference on Women in Pure and Applied Mathematics held at SRM University Andhra Pradesh, India.
PhD:
- Sagar Basak (2022- )
- Ashmita Singh (2023- )