Prof. Murali Krishna Vemuri
Professor
Department of Mathematical Sciences
mkvemuri.mat@itbhu.ac.in
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Area of Interest:
Harmonic analysis, Differential Geometry.
- Degrees Awarded
- Teaching Experience
- Courses Taught
- Theses Supervised
- Publications
- Invited Addresses
- Service
| Aug 1997 | Ph.D. from the University of Chicago, Chicago, IL, USA |
| Jun 1990 | M.S. in Mathematics from the University of Chicago, Chicago, IL, USA |
| May 1989 | M.S. in Mathematics from Syracuse University, Syracuse, NY, USA |
| 2017-- | Professor at IIT (BHU), Varanasi, India |
| 2014--2016 | Visiting Associate Professor at West Virginia University, Morgantown, WV, USA |
| 2011--2012 | Visiting Associate Professor at West Virginia University, Morgantown, WV, USA |
| Spr. 2011 | Visiting Associate Professor at West Virginia University, Morgantown, WV, USA |
| Fall 2009 | Visiting Associate Professor at West Virginia University, Morgantown, WV, USA |
| 2008--2014 | Associate Professor at Chennai Mathematical Institute, Chennai, India |
| 2003--2008 | Fellow `E' at Chennai Mathematical Institute, Chennai, India |
| 2000--2002 | Teaching Research Associate at Syracuse University, Syracuse, NY, USA |
| 1999--2000 | Instructor at Polytechnic University, Brooklyn, NY, USA |
| 1997--1999 | Visiting Assistant Professor at Colgate University, Hamilton, NY, USA |
| Differential Calculus |
| Integral Calculus |
| Several Variable Calculus |
| Engineering Mathematics |
| Real Analysis |
| Complex Analysis |
| Measure Theory |
| Algebra |
| Algebraic Topology |
| Riemannian Geometry |
| Differential Topology |
| Harmonic Analysis |
| Partial Differential Equations |
| Applied Mathematics for the Social Sciences |
| Nawaf Alsowait, A Comparison of p-adic Analysis and Real Analysis, Master's project (option B), West Virginia University, 2015 |
| Sandeep Vitta, The Hahn-Hellinger Classification of separable representations of a separable commutative unital C*-Algebra, Master's thesis, Chennai Mathematical Institute, 2005 |
| Raghavan Narasimhan's proof of L. Schwartz's perturbation theorem, arXiv: 1606.03155 |
| Benedicks' theorem for the Weyl transform, J. Math. Anal. Appl. 452 (2017), no.1, pp.209--217 |
| with Fuller, E. J., The Brylinski beta function of a surface, Geom. Dedicata 179 (2015), pp.153--160 |
| with Anisa, M. H. C., Two functionals connected to the Laplacian in a class of doubly connected domains in rank-one symmetric spaces of non-compact type, Geom. Dedicata 167 (2013), pp.11--21 |
| with Prasad, A. and Shapiro, I., Locally compact abelian groups with symplectic self-duality, Adv. Math. 225 (2010), pp.2429--2454 |
| with Prasad A., Inductive algebras and homogeneous shifts, Complex Anal. Oper. Theory 4 (2010), no.4, pp.1015--1027 |
| Hermite expansions and Hardy's theorem, arXiv: 0801.2234 |
| with Prasad, A., Inductive algebras for finite Heisenberg groups, Comm. in Algebra 38 (2010), no.2, pp.509--514 |
| A non-commutative Sobolev estimate and its application to spectral synthesis, Tamkang J. Math. 40 (2009), no.1, pp.95--111 |
| Realizations of the canonical representation, Proc. Indian Acad. Sci. (Math. Sci.) 118 (2008), no.1, pp.115--131 |
| with Prasad, A., Eigenfunctions of the Laplace-Beltrami operator on hyperboloids, Tamkang J. Math. 39 (2008), no.4, pp.335--339 |
| with Steger, T., Inductive algebras for SL(2, R), Illinois J. Math. 49 (2005), no.1, pp.139--151 |
| with Fryant, A., A Pythagorean identity for polyharmonic polynomials, IJMMS 29 (2002), no.2, pp.115--119 |
| with Fryant, A. and Naftalevich A., Orthogonal Homogeneous Polynomials, Adv. App. Math. 22 (1999), pp.371--379 |
| with Fryant, A., Wave polynomials, Tamkang J. Math. 28 (1997), no.3, pp.205--209 |
| A simple proof of Fryant's theorem, SIAM J. Math. Anal. 26 (1995), no.6, pp.1644--1646 |
| Nov. 2017 | Some fixed point theorems (three lectures), at STC/Workshop on Fixed Point Theory and Dynamical Systems, IIT (BHU), Varanasi, India |
| Dec. 2013 | Representations of locally compact groups (four lectures), at the instructional workshop preceding the Discussion Meeting on Harmonic Analysis XIII, Chennai, India |
| Jan. 2011 | The Brylinski beta function, at the colloquium, IISc, Bengaluru, India |
| Apr. 2009 | The homogeneous shifts via inductive algebras, at the IISc Mathematics Initiative seminar, Bangalore, India |
| Nov. 2008 | Inductive algebras and homogeneous operators, at the colloquium, West Virginia University, Morgantown, WV, USA |
| Dec. 2007 | Some estimates for the Harmonic Oscillator, at the Discussion Meeting on Harmonic Analysis X, Bangalore, India |
| Nov. 2007 | Hermite expansions and Hardy's theorem, at the colloquium, West Virginia University, Morgantown, WV, USA |
| Oct. 2007 | Basic Fourier analysis (five lectures), at the Instructional Workshop on Wavelet Analysis, BHU, Varanasi, India |
| Sep. 2007 | Some Schatten class estimates at the Geometry Seminar, TIFR Centre, Bangalore, India |
| Feb. 2007 | Can one hear the shape of a drum? at the National Conference on Modern Mathematics and Allied Areas, BHU, Varanasi, India |
| Mar. 2005 | A minimal introduction to Kähler geometry (four lectures), IMSc, Chennai, India |
| Jan. 2004 | The Riemann Mapping Theorem at Theivanai Ammal College for Women, Villupuram, India |
| Nov. 2003 | The O(p,q)-module structure of the homogeneous functions on a light cone (three lectures), at the Representation Theory Seminar, IMSc, Chennai, India |
| Sep. 2003 | Inductive Algebras at the colloquium, ISI, Bangalore, India |
| Sep. 2002 | The Atiyah-Singer Index Theorem at the MGO Colloquium, Syracuse University, Syracuse, NY, USA |
| Aug. 1998 | Applications of Sobolev type inequalities to spectral synthesis at the Harmonic Analysis Seminar, Università degli studi di Sassari, Sassari, Italia |
| Jul. 1998 | Realizations of the canonical representation at the Harmonic Analysis Seminar, Università degli studi di Sassari, Sassari, Italia |
| Jul. 1995 | Realizations of the Heisenberg group representations, at the Analysis Seminar, Università di Milano, Milano, Italia |
| Jun. 1995 | A bilinear inequality and its application to the Heisenberg group, at the Convegno di Analisi Armonica, Alghero, Italia |
| Jul. 1993 | estimates for on the Heisenberg group, at TIFR, Bombay, India |
| 2017-18 | Research and Development committee at IIT (BHU) |
| 2017-18 | Additive Manufacturing Committee at IIT (BHU) |
| 2017-18 | Poster Judging Committee for Institute Day at IIT (BHU) |
| 2016-17 | Referee for the journal Mathematische Nachrichten |
| 2014-15 | Referee for the journal Journal of Mathematical Physics |
| 2012-14 | Organizing committee for Discussion Meeting on Harmonic Analysis XIII |
| 2013-14 | Research methodology committee at Chennai Mathematical Institute |
| 2011-12 | Analysis qualifying exam committee at Chennai Mathematical Institute |
| 2008-09 | Entrance exam committee at Chennai Mathematical Institute |
| 2007-08 | Referee for the journal Proceedings of the Indian Academy of Sciences |
| 2004-05 | Entrance exam committee at Chennai Mathematical Institute |
| 1999-00 | Science fair judge at Polytechnic University |
| 1998-99 | Visiting position hiring committee at Colgate University |
| 1995-96 | Referee for the journal Integral Transforms and Special Functions |
| 1991-92 | Treasurer of the Ryerson Astronomical Society at the University of Chicago |
