Dr. Kalpesh Jayantilal Haria

Designation : Assistant Professor
Broad Area of Expertise : Mathematics
Email : kalpesh{at}iitgoa.ac.in
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Educational Qualifications
- "Ph.D in Mathematics (Indian Institute of Technology - Bombay) – Ph.D. Defense Date: May 7, 2014."
Areas of Research
Operator TheoryCourses Taught
Professional Appointments
- "Assistant Professor (Grade I) December 30, 2020 - till date - Department/Institute: School of Mathematics & Computer Science, IIT Goa, Ponda - 403401, Goa, India.
- 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.
- Assistant Professor June 2014 - December 2017 - Department/Institute: Department of Mathematics, IITRAM, Ahmedabad - 380026, Gujarat, India.
- 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)
- Research Associate Nov 2013 - May 2014 - Department/Institute: Department of Mathematics, Indian Institute of Technology - Bombay, Powai, Mumbai - 400076, Maharashtra, India. "
Recent Publications
- Polynomial characteristic functions for commuting row contractions, Submitted (with Monojit Bhattacharjee and Jaydeb Sarkar).
- 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)
- Characteristic functions of liftings-II, Operators and Matrices, Volume 12, Number 2 (2018), 579-601. MR3812192 (with Santanu Dey and Rolf Gohm).
- Factorizations of characteristic functions, Journal of Operator Theory, 77 (2017), 377–390. MR3634510 (with Amit Maji and Jaydeb Sarkar).
- Functional models and minimal contractive liftings, Complex Analysis and Operator Theory, 9 (2015), no. 4, 933–955. MR3337538 (with Santanu Dey and Rolf Gohm)
- 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).
- Outgoing Cuntz scattering system for a coisometric lifting and transfer function, Proc. Indian Acad. Sci. Math. Sci., 123 (2013), no. 3, 427–442. MR3102385.
- Invariants for liftings of row contractions, Journal of Analysis, 20 (2012), 79–89. MR3237290 (with Santanu Dey).
Recognition and Awards
Research Grant:- 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
- NBHM Travel Grant of Rs. 3,00,000/- for ICM 2018, Rio de Janeiro, Brazil.
- 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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