R. Lakshmi Lavanya

Assistant Professor
Department of Mathematics, IISER Tirupati
Email: rlakshmilavanya [AT] iisertirupati.ac.in
Phone: +91 877 2500 424
Research Interests
Harmonic Analysis on locally compact groups, in particular, on locally compact Abelian groups and the Heisenberg group.
Educational and Professional Career
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Ph.D (June, 2012): University of Madras
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Project Fellow (July - Sept., 2012): Indian Institute of Science
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NBHM Postdoctoral Fellow (Oct. 2012 - July 2015): Indian Institute of Science
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Assistant Professor (August, 2015 ~): Indian Institute of Science Education and Research (IISER) Tirupati, India
Honours and Awards
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Qualified Joint CSIR-UGC NET for JRF and Lecturership in Mathematical Sciences, June 2005 from CSIR, Govt. of India (did not avail fellowship).
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NBHM Research Awards, 2005 from the National Board for Higher Mathematics, DAE, Govt. of India.
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NBHM Postdoctoral Research Fellowship from the National Board for Higher Mathematics, DAE, Govt. of India.
Selected Publications
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R. Lakshmi Lavanya, "On a polynomial time algorithm for the Maximum Independent Set problem on undirected graphs", communicated.
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R. Lakshmi Lavanya, "On weaker isomorphisms of algebras of compactly supported continuous functions", communicated.
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R. Lakshmi Lavanya, "On the Fourier transform on function algebras on locally compact Abelian groups", Monatsh. Math. 184(4), 597-610(2017). (pdf)
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With Prof. S. Thangavelu, "Revisiting the Fourier transform on the Heisenberg group", Publicacions Mathematiques 58(1), 47-63 (2014).
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With Prof. S. Thangavelu, "A Characterisation of the Weyl transform", Advances in Pure and Applied Mathematics 3(1), 113-122 (2012).
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With Prof. S. Thangavelu, "A Characterisation of the Fourier transform on the Heisenberg group", Annals of Functional Analysis 3(1), 109-120 (2012).
Teaching
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MTH 122: Linear Algebra and Applications (Jan. - Apr., 2018)
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MTH 612: Analysis - I (Ph.D.) (Aug. - Dec., 2017)
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MTH 312: Analysis - I (Aug. - Dec., 2017)
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MTH 122: Linear Algebra and Applications (Jan. - Apr., 2017)
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MTH 110: Maths Refresher Course (Aug. - Dec., 2016)
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MTH 111: Single-Variable Calculus (Aug. - Dec., 2015)