Last updated on 16th December 2015.
Contact Information
Address: Department of Mathematics
412 Krieger Hall, Johns Hopkins University
Baltimore, MD - 21218
E-mail:
vpingali@math.jhu.edu
Webpage: www.vamsipingali.com
Research Interests
Differential geometry and geometric analysis, Several Complex Variables,
Mathematical physics, and computational geometry.
Education
2004–2008
B.Tech
Engineering Physics
2008–2009
2009–2013
MA
PhD
Mathematics
Mathematics
Indian Institute of Technology Bombay
(IIT B)
Stony Brook University
Stony Brook University
Dissertation Adviser: Dr. Leon Takhtajan
Publications and Pre-prints
• On Bott-Chern forms and their applications (with Leon Takhtajan) Mathematische Annalen - May 2014.
• On a generalised Monge-Ampére equation Journal of Partial Differential Equations, 2014.
• On the boundedness of effective potentials arising from string compactifications
(with Michael Douglas and Marcelo Disconzi) Communications in Mathematical physics - Feb 2014.
• On the Choquet-Bruhat–York-Friedrich formulation of the Einstein-Euler equations (with Marcelo Disconzi)Modern Physics Letters A - December 2014.
• Remarks on positive energy vacua via effective potentials in string theory (with
S.Dabholkar and M. Disconzi) Letters in Mathematical physics - April 2014.
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• A fully nonlinear PDE on a torus arising from Chern-Weil theory Electronic Journal of Differential Equations - 2014.
• Computing Teichmüller maps between polygons (with Mayank Goswami, David
Gu, and Gaurish Telang)
arXiv : 1401.6395, Jan 2014 (Presented at SoCG 2015 and to appear in the
Journal of foundations of computational mathematics).
• On the asymptotics of the on-diagonal Szego kernel of certain Reinhardt domains (with Arash Karami) Complex variables and Elliptic equations, Mar 2015.
• Bargmann-Fock extension from singular hypersurfaces (with Dror Varolin) Crelle’s Journal - Mar 2014.
• Load balanced short path routing in large-scale wireless networks using areapreserving maps (with Mayank Goswami, Chien-Chun Ni, X. Ban, and David
Gu) Presented at MobiHoc 2014.
• Weighted interpolation from certain singular affine hypersurfaces International journal of mathematics, Feb 2015.
• Inverses of structured vector bundles (with Indranil Biswas) To appear in Geometriae Dedicata, arXiv : 1502.00071, Feb 2015.
• C 2,α estimates and existence results for certain nonconcave PDE,
arXiv : 1504.00963, Apr 2015.
• A priori estimates for a generalised Monge-Ampére PDE on some compact
Kähler manifolds,
arXiv : 1505.04358, May 2015. (To appear in Complex Variables and Elliptic
equations.)
• A note on the deformed Hermitian Yang-Mills PDE,
arXiv:1509.00943, Sept 2015.
• Rational cuspidal curves on Del-Pezzo surfaces (with I.Biswas, R. Mukherjee,
and S. D’Mello),
arXiv:1509,06300, Sept 2015.
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Employment History and Teaching Experience
• 2013-Present: J.J. Sylvester Assistant Professor of Mathematics, Johns Hopkins
University. (Taught MAT 416 - Honours Analysis -2, MAT 311 - Complex
Analysis, MAT 211 - Honours multivariable Calculus, and MAT 107 - Calculus2 for Biology Majors.)
• 2008-2013 : Teaching Assistant, Stony Brook University. (Taught and graded
MAT 123 (pre-calculus), MAT 125 (differential calculus), MAT 126 (integral
calculus), MAT 131 (faster version of MAT 125).)
• Summers of 2009, 2010, 2011 and 2012 : Course instructor for summer courses
(MAT 127 (differential equations and power series), MAT 131), Stony Brook
University.
• 2012 : Author of a solutions manual to the book “Complex Analysis : In the
spirit of Lipman Bers by J. Gilman, I. Kra and R. Rodriguez.”
Honours and Awards
• Awarded the President’s Silver medal for academic excellence in IIT B by Her
Excellency, the President of India (2008).
• Presidential Fellowship (Stony Brook 2008-2013).
• Distinction in the PhD Oral Exam (Stony Brook 2009).
• Received the Chairman’s teaching award for outstanding teaching by a graduate
student (2013).
Talks and Seminars
• “A short proof of the Kodaira embedding theorem” - Graduate Student Seminar,
Stony Brook, 2010.
• “On the audible properties of drums” - Graduate Student Seminar, Stony Brook,
2011.
• “Donaldson’s proof of a theorem of Narasimhan and Seshadri” - Hitchin systems
Seminar, Stony Brook, 2011.
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• “Bergman Kernels” - Differential Geometry and Analysis Seminar, Stony Brook,
2012.
• “Computational and Analytic aspects of Chern-Weil theory” - Geometry Seminar, Indian Institute of Technology, Bombay, 2012.
• “Some computational and analytic aspects of Chern-Weil forms” - Young Researchers Meet 2012, Stanford, 2012.
• “A generalised Monge-Ampère equation” - Analysis Seminar, SUNY Binghamton, 2012.
• “Computational and analytic properties of Chern-Weil forms” - Maryland-Johns
Hopkins joint Complex Geometry Seminar, 2012.
• Informal seminar on the proof of the Calabi conjecture in the nonpositive case,
Johns Hopkins University, 2013.
• “Computational and analytic properties of Chern-Weil forms” - Colloquium,
TIFR Bombay, 2014.
• “Computing Teichmuller maps between polygons” - Colloquium, IIT Bombay,
2014.
• “Computational and analytic properties of Chern-Weil forms” - Colloquium,
University of Hyderabad, 2014.
• “Avatars of the Sphere” - An expository talk in the University of Hyderabad,
2014.
• “Weighted L2 -extension of holomorphic functions from singular hypersurfaces”
- PDE seminar, Vanderbilt University, 2014.
• “Compuational and analytic aspects of Chern-Weil theory” - Colloquium, Indian Institute of Science, 2015.
• “Weighted L2 -extension of holomorphic functions from singular hypersurfaces”
- Colloquium, Chennai Mathematical Institute, 2015.
• “Weighted L2 -extension of holomorphic functions from singular hypersurfaces”
- Colloquium, Institute of Mathematical Sciences, 2015.
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• “A generalised Monge-Ampere equation” - Conference on analysis and geometry, USTC, Hefei, China - 2015.
• “A generalised Monge-Ampere equation” - Geometric Analysis seminar, UMD
college park - 2015.
Other Professional Experiences & Skills
• Organiser of the JHU-UMD joint seminar in Complex geometry.
• Proficient in programming in C++ and familiar with Mathematica.
• Visited the Max Planck Institute of Astronomy, Heidelberg (Summer of 2007)
and worked on the Halo model under Dr. Frank Van den Bosch.
• Organised the “Papers club” (a forum for discussion of papers by students in
mathematics and physics) in IIT B.
• Reviewer for Zentralblatt Math, Math reviews, and Communications in Analysis
and Geometry.
• Served on a PhD defence committee at Johns Hopkins.
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