Dr. Kalpesh Jayantilal Haria

Designation : Assistant Professor

Broad Area of Expertise : Mathematics

Email : kalpesh{at}iitgoa.ac.in

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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

Research Grant:
  1. Sponsoring Agency: Department of Science and Technology (DST), Government of India.
  2. Project Title: Study of Standard Noncommuting and Commuting Dilations of Commuting Tuples.
  3. Grant Amount: Rs 35 lakh (@Rs 7 lakh per year) of Research Grant.
  4. Grant Period: June 18, 2015 to June 17, 2020 + 1 Year No-Cost Extension
Operator Theory
  1. NBHM Travel Grant of Rs. 3,00,000/- for ICM 2018, Rio de Janeiro, Brazil.
Teaching Honour Roll Award:
  1. Received "Teaching Honour Roll Award" on the occasion of Teacher's Day 2019 at IIT Mandi for significant contribution to student learning through excellence in teaching during the academic year 2018-19.
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