Department of Mathematics | Indian Institute Of Technology Madras , Chennai

Research:

My current research interests include Geometry, especially Algebraic and Complex Geometry, and its interactions with Analysis, Topology and Algebra; Moduli Theory especially of Vector Bundles, Quadratic Spaces and Azumaya Algebras, and their Degenerations; Desingularisations and Degeneration of Moduli Spaces; Scheme-Theoretic Constructions over General Base Schemes or Rings

Teaching :

Basic Algebraic Geometry : Varieties, Morphisms, Local Rings, Function Fields and Nonsingularity Vie

NPTEL Video Course of 42 Lectures published 29 August 2016 Syllabus link: https://nptel.ac.in/syllabus/111106097/ NPTEL link: https://nptel.ac.in/courses/111106097/

Advanced Complex Analysis - Part 2: Compactness of Meromorphic Functions in the Spherical Metric, Sp

NPTEL Video Course of 43 lectures published 02 March 2016 Syllabus link: https://nptel.ac.in/syllabus/111106094/ NPTEL link: https://nptel.ac.in/courses/111106094/

Advanced Complex Analysis - Part 1:Zeros of Analytic Functions,Analytic continuation, Monodromy, Hyp

NPTEL Video Course of 45 lectures published 03 August 2015 Syllabus link: https://nptel.ac.in/syllabus/111106084/ NPTEL link: https://nptel.ac.in/courses/111106084/

An Introduction to Riemann Surfaces and Algebraic Curves: Complex 1-Tori and Elliptic Curves

NPTEL Video course of 48 lectures published 14 August 2013 Syllabus link: https://nptel.ac.in/syllabus/111106044/ NPTEL link: https://nptel.ac.in/courses/111106044/

Recent Books :

An Introduction to Families, Deformations and Moduli

Authors : T E Venkata Balaji

Publisher : Universitätsverlag Göttingen Edition : First

Year : 2010 ISBN : ISBN-10: 3941875329 ISBN-13: 978-3941875326

Details : Link: https://www.univerlag.uni-goettingen.de/handle/3/isbn-978-3-941875-32-6?locale-attribute=en

Recent Publications :

No Publication history recorded