Sameer Chavan
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur-208016, India
 

Office:
FB-552
 

Phone:
91-51202597158 (O)
91-512-2598540 (R)

Email:
chavan at iitk dot ac dot in
chavansameer at gmail dot com

Kanpur from the river Ganga (Source: Martin, R. Montgomery (1858)

The Indian Empire. Volume 3. London Printing and Publishing Company, page 139)

 

Publications:
  • On a Friedrichs Extension Related to Unbounded Subnormals-I (with A. Athavale), Glasgow Math J, 48 (2006), 19-28

  • Sectorial Forms and Unbounded Subnormals (with A. Athavale), Math Proc Cambridge Phil Soc, 143 (2007), 685-702

  • On Operators Cauchy Dual to 2-hyperexpansive Operators, Proc Edinburgh Math Soc, 50 (2007), 637-652

  • On Operators Close to Isometries, Studia Math, 186 (2008), 275-293

  • On a Friedrichs Extension Related to Unbounded Subnormals-II, Glasgow Math J, 50 (2008), 97-109

  • A Spectral Exclusion Principle for Unbounded Subnormals, Proc Amer Math Soc, 137 (2009), 211-218

  • Co-analytic, right invertible operators are supercyclic, Colloquium Math, 119 (2010), 137-142

  • On Operators Cauchy Dual to 2-hyperexpansive Operators: The Unbounded Case, Studia Math, 203 (2011), 129-162

  • Essential Normality of Operators Close to Isometries, Integral Equations Operator Theory, 73 (2012), 49-55

  • Operators Cauchy Dual to 2-hyperexpansive Operators: The Multivariable Case (With R. Curto), Integral Equations Operator Theory, 73 (2012), 481-516

  • C*-algebras Generated by Spherical Hyperexpansions, New York Jour of Math, 19 (2013), 511-531

  • Rigidity Theorems for Spherical Hyperexpansions (With V. M. Sholapurkar), Complex Analysis and Operator Theory, 7 (2013), 1545-1568

  • An Inequality for Spherical Cauchy Dual Tuples, Colloquium Math, 131 (2013), 265-271

  • Spherically Balanced Hilbert Spaces of Formal Power Series in Several Variables-I (With S. Kumar), Journal of Operator Theory, 72 (2014), 405-428

  • Irreducible Tuples without Boundary Property, Canadian Mathematical Bulletin, 58 (2015), 9-18

  • Spherical Tuples of Hilbert Space Operators (With D. Yakubovich), Indiana University Mathematics Journal, 64 (2015), 577-612

  • Completely Monotone Functions of Finite Order and Agler's Conditions (With V. M. Sholapurkar), Studia Math, 226 (2015), 229-258

  • A Wold-type Decomposition for a Class of Row nu-hypercontractions (With R. Kumari), Journal of Operator Theory, 75 (2016), 195-208

  • An Analytic Model for Left-invertible Weighted Shifts on Directed Trees (With S. Trivedi), Journal of London Mathematical Society, 94 (2016), 253-279

  • U-invariant Kernels, Defect Operators, and Graded Submodules (With R. Kumari), New York Jour of Math, 22 (2016), 677-709

  • Completely Hyperexpansive Tuples of Finite Order (With V. M. Sholapurkar), Journal Math Anal Appl, 447 (2017), 1009-1026

  • A Moment Problem and Joint q-isometry Tuples (With A. Anand), Complex Analysis and Operator Theory, 11 (2017), 785-810

  • Module Tensor Product of Subnormal Modules need not be Subnormal (With A. Anand), Journal of Functional Analysis, 272 (2017), 4752-4761

  • Weyl's Theorem for a Pair of Commuting Hyponormal Operators (With R. Curto), Proc Amer Math Soc, 145 (2017), 3369-3375

  • Dirichlet Spaces Associated with Locally Finite Rooted Directed Trees (With D. Pradhan and S. Trivedi), Integral Equations Operator Theory, 89 (2017), 209-232

  • Multishifts on Directed Cartesian Product of Rooted Directed Trees (With D. Pradhan and S. Trivedi), Dissertationes Mathematicae, 527 (2017), 1-102

  • An operator-valued kernel associated with a commuting tuple of Hilbert space operators, Bulletin Sci. Math.145 (2018), 38-52

  • Commutants and reflexivity of multiplication tuples on vector-valued reproducing kernel Hilbert spaces (With S. Podder and S. Trivedi), Journal Math Anal Appl, 466 (2018), 1337-1358

  • Classification of Drury-Arveson-type Hilbert modules associated with certain directed graphs (With D. Pradhan and S. Trivedi), J. Operator Theory 81 (2019), no. 1, 21-60

  • Complete systems of unitary invariants for some classes of 2-isometries, (With A. Anand, Z. Jabłoński, and J. Stochel), Banach J. Math. Anal. 13 (2019), no. 2, 359-385

  • A solution to the Cauchy dual subnormality problem for 2-isometries (With A. Anand, Z. Jabłoński, and J. Stochel), J. Funct. Anal. 277 (2019), no. 12, 108292, pp 51

  • Essential Spherical Isometries, Acta Sci Szged, 85(2019), 589-594

  • Analytic m-isometries without the wandering subspace property (with A.Anand and S. Trivedi), Proc Amer Math Soc, 148 (2020), 2129-2142

  • The Cauchy dual subnormality problem for cyclic 2-isometries (With A. Anand, Z. Jabłoński, and J. Stochel), Adv. Oper. Theory 5 (2020), 1061-1077.

  • Dirichlet-type spaces on the unit ball and joint 2-isometries (with R. Gupta and Md. R. Reza), Journal of Functional Analysis, 279 (2020), no.10, 108733, 29 pp.

  • Taylor spectrum approach to Brownian-type operators with quasinormal entry (with Z. J. Jabłoński, I. B. Jung, J. Stochel), Annali di Matematica Puraed Applicata, 200 (2021), no. 3, 881-922.

  • Spherical symmetry of some unitary invariants for commuting tuples (with K. Feki), Operators and Matrices, 15 (2021), 1131-1139.

  • Von Neumann's inequality for the Hartogs triangle (with S. Jain and P. Pramanick), New York Journal of Mathematics, 28(2022), 791-799.

  • The Cauchy dual subnormality problem via de Branges-Rovnyak spaces (with S. Ghara and Md R. Reza), Studia Mathematica, 265(2022), 315-341.

  • The Eigensheaf of an Operator (with A. Morye), New York Journal of Mathematics, 28(2022), 868-883.

  • Dirichlet polynomials and a moment problem (with C. K. Sahu), Banach J. Math. Anal. 16 (2022), Paper No. 63, 23 pp.

  • Weighted join operators on directed trees (with R. Gupta and K. B. Sinha), Complex Anal. Oper. Theory 17 (2023), Paper No. 36, 102 pp.

  • Bi-isometries reducing the hyper-ranges of the coordinates (with Md. R. Reza), Linear Algebra Appl. 668 (2023), 51-63.

  • Operator theory on generalized Hartogs triangles (with S. Jain and P. Pramanick), Res. Math. Sci. 10 (2023), no. 3, Paper No. 34, 39 pp.

  • Analyticity, rank one perturbations and the invariance of the left spectrum (with S. Ghara and P. Pramanick), Acta Sci Szeged, 89 (2023), 559-571.

  • Quasi-Invariance of the Dirichlet series kernels, Analytic symbols and Homogeneous operators (with C. K. Sahu), Journal of Geometric Analysis, 33 (2023), Paper No. 365, 29 pp.

  • Weakly concave operators, (with J. Stochel), Proc. Roy. Soc. Edinburgh Sect. A, 154 (2024), 1-32.

  • Jan Stochel, a stellar mathematician (with R. Curto, Z. J. Jabłoński, I. B. Jung, M. Putinar), Opuscula Math. 44, (2024), Special Issue, to appear

  • Complete monotonicity of rational functions in two variables and toral m-isometric pairs (with A. Anand and R. Nailwal), Journal of operator theory, to appear

  • Convergence of power sequences of B-operators with applications to stability (with Z. Jabłoński, I. B. Jung, J. Stochel), Proc Amer Math Soc, to appear

 

Preprints:

  • Lifting Brownian-type operators with subnormal entry (with Z. Jablonski, I. B. Jung, J. Stochel), preprint, 2023

  • Dirichlet-type spaces of the unit bidisc and Toral 2-isometries (with S. Bera and S. Ghara), preprint, 2023

  • A spectral dichotomy for commuting m-isometries with negative core operator (with S. Bera and S. Ghara), preprint, 2023

 

Book:

Notes on the Brown, Douglas and Fillmore theorem (with G. Misra), Cambridge-IISc Series. Cambridge University Press, Cambridge, 2021. 246 pp.

 

 

Editorial:

Indian Journal of Pure and Applied Mathematics, 2020-

The Journal of the Indian Mathematical Society, 2022-

Proceedings - Mathematical Sciences, 2022-

 

Present Graduate Students:

Shubham Jain, IIT Kanpur, 2021
Santu Bera, IIT Kanpur, 2021

 

 

Past Graduate Students:

Surjit Kumar,  Spherically Balanced Hilbert Spaces of Formal Power Series in Several Variables, IIT Kanpur, 2015
Rani Kumari, U-invariant Kernels, Row nu-Hypercontractions, And Graded Submodules, IIT Kanpur, 2016
Deepak Kumar Pradhan, Multishifts on Directed Cartesian Product of Rooted Directed Trees, IIT Kanpur, 2018
Chaman Kumar Sahu, Positivity Aspects of Dirichlet Series, IIT Kanpur, 2023

Rajkamal Nailwal, Joint complete monotonicity of rational functions in two variables and toral m-isometric pairs, IIT Kanpur, 2023 (jointly with Akash Anand)

 

 

Post Doctoral Students:

Rajeev Gupta, SERB, National Post-doctoral Fellow, 2016-2018

Shailesh Trivedi, SERB, National Post-doctoral Fellow, 2017-2018

Md. Ramiz Reza, Institute Post-doctoral Fellow, 2019- 2021

Soumitra Ghara, SERB, National Post-doctoral Fellow, 2020-2021

Paramita Pramanick, NBHM Post-doctoral Fellow, 2022-

 

Lecture Notes:

Linear Dynamics, 2012

Notes on Group Theory and Ring Theory, 2013

Topology: Notes and Problems, 2014

Spectral Theorem for Symmetric Operators with Compact Resolvent, 2014

Uniform Convergence and Polynomial Approximation: Problems and Notes, 2014

Integration Theory: Notes and Problems, 2014/2015

Fubini-Tonelli Theorem: Notes and Problems, 2015

Problems in Complex Analysis, 2015

Introduction to Complex Analysis, 2016

Analysis, 2020

Philosophy and Mathematics, 2020

Hilbert Space Methods in Analysis, 2021

 

Literary Marathi Magazine:
समकालीन गझल, अंक १, सप्टेंबर २०१६
समकालीन गझल, अंक २, जुलै २०१७
समकालीन गझल, अंक ३, हिवाळा २०२१

 

Marathi Books:  
काळाची सामंती निगरण,
अक्षर मानव प्रकाशन, पुणे, २०१९
   
रात्रींची प्रतिबिंबे,
स्वयं प्रकाशन, पुणे, २०२०,
   
अखईं तें जालें ● तुकाराम: हिन्दुस्तानी परिवेशात,
स्वयं प्रकाशन, पुणे,
२०२३