Dr. Kalpesh Jayantilal Haria

Designation : Assistant Professor

Broad Area of Expertise : Mathematics

Email : kalpesh{at}iitgoa.ac.in

Contact Number : 0832 2490144

Address : Office No. F-12, Mining Building, GEC Campus, Ponda-403401, Goa

Personal Page

Educational Qualifications

  1. "Ph.D in Mathematics (Indian Institute of Technology - Bombay) � Ph.D. Defense Date: May 7, 2014."

Areas of Research

Operator Theory


Courses Taught


Professional Appointments

  1. "Assistant Professor (Grade I) December 30, 2020 - till date - Department/Institute: School of Mathematics & Computer Science, IIT Goa, Ponda - 403401, Goa, India.
  2. Assistant Professor (Grade I - Regular Position) December 26, 2017 - December 28, 2020 - Department/Institute: School of Basic Sciences, IIT Mandi, Kamand - 175005, Mandi, Himachal Pradesh, India.
  3. Assistant Professor June 2014 - December 2017 - Department/Institute: Department of Mathematics, IITRAM, Ahmedabad - 380026, Gujarat, India.
  4. DST-INSPIRE Faculty Fellow June 2015 - August 2017 - Department/Institute: Statistics and Mathematics Unit, ISI Bangalore Centre, Bangalore - 560059, Karnataka, India. (On Leave from IITRAM)
  5. Research Associate Nov 2013 - May 2014 - Department/Institute: Department of Mathematics, Indian Institute of Technology - Bombay, Powai, Mumbai - 400076, Maharashtra, India. "

Recent Publications

  1. Polynomial characteristic functions for commuting row contractions, Submitted (with Monojit Bhattacharjee and Jaydeb Sarkar).
  2. Isometric dilations and von Neumann inequality for a class of tuples in the polydisc, Transactions of the American Mathematical Society, 372 (2019), no. 2, 1429- 1450. MR3968807 (with Sibaprasad Barik, B. Krishna Das and Jaydeb Sarkar)
  3. Characteristic functions of liftings-II, Operators and Matrices, Volume 12, Number 2 (2018), 579-601. MR3812192 (with Santanu Dey and Rolf Gohm).
  4. Factorizations of characteristic functions, Journal of Operator Theory, 77 (2017), 377�390. MR3634510 (with Amit Maji and Jaydeb Sarkar).
  5. Functional models and minimal contractive liftings, Complex Analysis and Operator Theory, 9 (2015), no. 4, 933�955. MR3337538 (with Santanu Dey and Rolf Gohm)
  6. Generalized repeated interaction model and transfer functions, Operator theory in harmonic and non-commutative analysis, Operator Theory: Advances and Applications, vol. 240, Birkhauser/Springer, Cham, 2014, 111�135. MR3134549 (with Santanu Dey).
  7. Outgoing Cuntz scattering system for a coisometric lifting and transfer function, Proc. Indian Acad. Sci. Math. Sci., 123 (2013), no. 3, 427�442. MR3102385.
  8. Invariants for liftings of row contractions, Journal of Analysis, 20 (2012), 79�89. MR3237290 (with Santanu Dey).

Recognition and Awards

Project/Travel Grants: 

Projects:(1) Sponsoring Agency: Department of Science and Technology (DST), Government of India.

Project Title: Study of Standard Noncommuting and Commuting Dilations of Commuting Tuples.

Grant Amount: Rs 35 lakh (@Rs 7 lakh per year) of Research Grant.

Grant Period: June 18, 2015 to June 17, 2020 + 1 Year No-Cost Extension

(2) Sponsoring Agency: Science & Engineering Research Board (SERB)

Project Title: Characteristic Functions, Invariant Subspaces and Regular Factorizations.

Grant Amount: Rs 6.6 lakh (@Rs 2.2 lakh per year) of Research Grant.

Grant Period: 3 Years (Dec 2022-Dec 2025)

Travel Grant:

NBHM Travel Grant of Rs. 3,00,000/- for ICM 2018, Rio de Janeiro, Brazil.

 


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