Vamsi Pritham Pingali

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1 Last updated on Contact Information Address: Department of Mathematics Indian Institute of Science Bangalore, Karnataka, India vamsipingali@iisc.ac.in Webpage: Research Interests Differential geometry and geometric analysis, Several Complex Variables, and Mathematical physics. Education B.Tech Engineering Physics Indian Institute of Technology Bombay (IIT B) MA Mathematics Stony Brook University PhD Mathematics Stony Brook University Employment History and Teaching Experience 2016-Present : Assistant Professor, Department of Mathematics, Indian Institute of Science : J.J. Sylvester Assistant Professor of Mathematics, Johns Hopkins University. (Taught MAT Honours Analysis -2, MAT Complex Analysis, MAT Honours multivariable Calculus, MAT Calculus 3, and MAT Calculus-2 for Biology Majors.) : 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 : Author of a solutions manual to the book Complex Analysis : In the spirit of Lipman Bers by J. Gilman, I. Kra and R. Rodriguez. Students 1

2 Undergraduate final year project : Amal Roy - Dynamics of spherical and nonspherical particles in turbulence (co-advised with Samriddhi Sankar Ray, ICTS) Many KVPY summer projects. Integrated PhD project : Kartick Ghosh Visiting students : Louis Gradt (Paris-Sud, Raman-Charpak fellowship) , Asfaq Hossain (Indian Statistical Institute) Publications, Conference Proceedings, and Pre-prints On Bott-Chern forms and their applications (with Leon Takhtajan) - Mathematische Annalen - May 2014 (Vol 360, ). On a generalised Monge-Ampére equation - Journal of Partial Differential Equations, 2014 (Vol 27(4), ). On the boundedness of effective potentials arising from string compactifications (with Michael Douglas and Marcelo Disconzi) - Communications in Mathematical physics - Feb 2014 (Vol 325(3), ). On the Choquet-Bruhat York-Friedrich formulation of the Einstein-Euler equations (with Marcelo Disconzi)- Modern Physics Letters A - December 2014 (Vol 29(39), 1-16). Remarks on positive energy vacua via effective potentials in string theory (with S.Dabholkar and M. Disconzi) - Letters in Mathematical physics - April 2014 (Vol 104(7), ). A fully nonlinear Monge-Ampère PDE on a torus - Electronic Journal of Differential Equations (Vol 211, 1-8). Computing Teichmüller maps between polygons (with Mayank Goswami, David Gu, and Gaurish Telang) Presented at SoCG 2015 and published in Journal of Foundations of Computational Mathematics - April 2017 (Vol 17(2), ). On the asymptotics of the on-diagonal Szego kernel of certain Reinhardt domains (with Arash Karami) - Complex variables and Elliptic equations, Mar 2015 (Vol 24, 1-15). 2

3 Bargmann-Fock extension from singular hypersurfaces (with Dror Varolin) - Crelle s Journal - Mar 2014 (Vol 717, ). Load balanced short path routing in large-scale wireless networks using areapreserving maps (with Mayank Goswami, Chien-Chun Ni, X. Ban, and David Gu) - Proceedings of the 15th ACM international symposium on Mobile ad hoc networking and computing, Nov 2014 (63-72). Weighted interpolation from certain singular affine hypersurfaces - International journal of mathematics, Feb 2015 (Vol 26(2), 1-9). Inverses of structured vector bundles (with Indranil Biswas) - Geometriae Dedicata, Feb 2015 (Vol 179, ). C 2,α estimates and existence results for certain nonconcave PDE, The Electronic Journal of Differential Equations, Apr 2015 (Vol 168, 1-10). A priori estimates for a generalised Monge-Ampére PDE on some compact Kähler manifolds, Complex Variables and Elliptic Equations, Feb 2016 (Vol 24, 1-15). A note on the deformed Hermitian Yang-Mills PDE, Complex Variables and Elliptic Equations, Mar 2018 (published online - doi: / ). Rational cuspidal curves on Del-Pezzo surfaces (with Indranil Biswas, Ritwik Mukherjee, and Shane D Mello), Journal of Singularities, Mar 2018 (Vol. 17, ) A note on higher extremal metrics, Transactions of the American Mathematical Society, Oct 2018 (Vol. 370(10), ) Representability of Chern-Weil forms, Mathematische Zeitschrift, Feb 2018 (Vol. 288 (1-2), ) Existence of coupled Kähler-Einstein metrics using the continuity method, International Journal of Mathematics, April 2018 (Vol. 29 (5), ) Quillen metrics and perturbed equations, arxiv : , Feb

4 Gravitating vortices and the Einstein Bogomol nyi equations (with Luis Álvarez- Cónsul, Mario Garcia-Fernandez, and Oscar Garcia-Prada), arxiv : , Oct Metric properties of parabolic ample bundles (with Indranil Biswas), International Mathematical Research Notices, Nov 2018 (published online - doi: /imrn/rny259) A characterization of finite vector bundles on Gauduchon astheno-kähler manifolds (with Indranil Biswas), Épijournal de Géométrie Albébraique, Sept 2018 (Vol. 2, 1-13) A vector bundle version of the Monge-Ampere equation, arxiv : , Apr Non-uniformly flat affine algebraic hypersurfaces (with Dror Varolin), arxiv : , Oct On coupled constant scalar curvature Kahler metrics (with Ved Datar), arxiv : , Jan Honours and Awards Awarded the President s Silver medal for academic excellence in IIT B by Her Excellency, the President of India (2008). Received the Chairman s teaching award for outstanding teaching by a graduate student in Stony Brook (2013). Awarded the Early career research grant (ECR/2016/001356) by SERB. Junior Associate of the International Centre for Theoretical Physics (ICTP), Trieste, Italy ( ). Awarded the Infosys Young Investigator Position by the Infosys foundation ( ). Selected Talks and Seminars Some computational and analytic aspects of Chern-Weil forms - Young Researchers Meet 2012, Stanford,

5 Computational and analytic properties of Chern-Weil forms - Maryland-Johns Hopkins joint Complex Geometry Seminar, Weighted L 2 -extension of holomorphic functions from singular hypersurfaces - PDE seminar, Vanderbilt University, Computational and analytic aspects of Chern-Weil theory - Colloquium, Indian Institute of Science, Weighted L 2 -extension of holomorphic functions from singular hypersurfaces - Colloquium, Institute of Mathematical Sciences, A generalised Monge-Ampere equation - Conference on analysis and geometry, USTC, Hefei, China Two stories in differential geometry - Special Colloquium, North Carolina State University, Representability of Chern-Weil forms - Complex Analytic Geometry, TIFR, The Calabi-Yang-Mills equations - Workshop in geometry and physics, IISc, An extension of a theorem of Nori to Gauduchon astheno-kähler manifolds - Complex Analytic Geometry, TIFR, A vector bundle version of the Monge-Ampère equation - Colloquium, Christian- Albrechts-Universität zu Kiel, Germany Other Professional Experiences & Skills Organiser of the Eigenfunctions seminar in IISc ( ). Co-organiser of the Johns Hopkins-University of Maryland College Park joint seminar in Complex geometry ( ). Computer skills : C++, LaTeX. Reviewer for Zentralblatt Math, Math Reviews, and Communications in Analysis and Geometry. 5

RONEN MUKAMEL. Harvard University, B.A. in mathematics, magna cum laude and Phi Beta Kappa (2001-5). Brighton High School, High school diploma (2001).

RONEN MUKAMEL. Harvard University, B.A. in mathematics, magna cum laude and Phi Beta Kappa (2001-5). Brighton High School, High school diploma (2001). RONEN MUKAMEL CURRENT ADDRESS Deparment of Mathematics Rice University 6100 Main St. Houston, TX 77005 ADDITIONAL INFORMATION Phone: (617)-785-1532 E-mail: ronen@rice.edu URL: http://math.rice.edu/~rm51/