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Biosketch
I completed my B.Sc (Hons.) degree in Mathematics from Sathya Sai Institute of Higher Learning in 2007. I then joined the Integrated Ph.D. program at the Indian Institute of Science Bangalore. I worked under the supervision of Prof. Gautam Bharali and obtained my Ph.D in 2014. My thesis entitled "On the Structure of Proper Holomorphic Mappings" was awarded the Sir Martin Forster medal for the best thesis in Mathematical Sciences for the year 2013-14 by the Indian Institute of Science in July 2015. I was awarded the INSPIRE Facultyship in January 2015. I joined the Indian Institute of Technology Madras as an INSPIRE Hosted Faculty in April 2015. I spent the next four years at IIT Madras teaching a variety of courses. During this period, I was also an instructor for several workshops intended for both students as well as college teachers. I enjoy teaching and I hope to make useful contributions to the Math Circles planned by the Department of Mathematics.
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Research
A note on the smoothness of the Minkowski functionComplex Variables and Elliptic Equations, 2020Schwarz Lemmas via the Pluricomplex Green’s FunctionThe Journal of Geometric Analysis,2019Proper Holomorphic Mappings onto Symmetric Products of a Riemann SurfaceDocumenta Mathematica,2018A 1-point poly-quadrature domain of order 1 not biholomorphic to a complete circular domainAnalysis and Mathematical Physics,2018Finiteness theorems for holomorphic mapping from products of hyperbolic Riemann surfacesInternational Journal of Mathematics,Vol. 28,2017Proper holomorphic mappings of balanced domains in CnMathematische Zeitschrift,Vol. 280,pp. 257-268,2015Proper holomorphic maps between bounded symmetric domains revisitedPacific Journal of Mathematics,Vol. 271,pp. 1-24,2014Proper holomorphic mappings between hyperbolic product manifoldsInternational Journal of Mathematics,Vol. 25,2014
Generated on 2020-01-01 01:27:23 IST
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Teaching
Current Teaching:
July -- Oct2020 NPTEL Course on Real Analysis
Jan -- TBA 2020: Algebra (MA2021)
Courses taught at IITM:
- Jan – May 2016: Complex Analysis (MA5360)
- July – Nov 2016: Multivariable Calculus (MA5371)
- Jan – May 2017: Series and Matrices (MA1102)
- Jan – May 2018: Complex Analysis (MA5360)
- Jan – May 2019: Transformation Techniques (MA5460)
- Jul – Nov 2019: Functions of Several Variables (MA1101)
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Additional Information
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Publications
Pranav Haridas and Jaikrishnan JanardhananComplex Variables and Elliptic Equations (2020)Pranav Haridas and Jaikrishnan JanardhananAnalysis and Mathematical Physics (2019)Jaikrishnan JanardhananThe Journal of Geometric Analysis (2019)Gautam Bharali, Indranil Biswas, Divakaran Divakaran, Jaikrishnan JanardhananDocumentat Mathematica (2018)Divakaran Divakaran and Jaikrishnan JanardhananInternational Journal of Mathematics (2017)Jaikrishnan JanardhananPacific Journal of Mathematics (2015)Jaikrishnan JanardhananMathematische Zeitschrift (2015)
