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
Educational Qualifications
- "Ph.D in Mathematics (Indian Institute of Technology - Bombay) ---- Ph.D. Defense Date: May 7, 2014."
Areas of Research
Theory of Dilations and Characteristic Functions
Courses Taught
COURSES TAUGHT at IIT Mandi and IIT Goa:
| Sr. No. | Course Title/Code | Semester Year | B.Tech./M.Sc./Ph.D. | No. of Students | Feedback Score | Institute |
| 14 | Basic Linear Algebra/MA102 | SPRING 2022-23 | B.Tech. 1st Year | 147 | 4.50/5(L), 4.48/5(T) | IIT Goa |
| 13 | Topics in Operator Theory/MA622 | SPRING 2022-23 | Ph.D. | 1 | 5/5(L), 5/5(T) | IIT Goa |
| 12 | Differential Equations II/MA302 | AUTUMN 2022-23 | B.Tech. | 98 | 4.46/5(L), 4.38/5(T) | IIT Goa |
| 11 | Differential Equations I/MA301 | AUTUMN 2022-23 | B.Tech. | 32 | 4.7/5(L), 4.65/5(T) | IIT Goa |
| 10 | Topics in Operator Theory/MA622 | SPRING 2021-22 | Ph.D. | 1 | 5/5(L), 4.2/5(T) | IIT Goa |
| 9 | Basic Linear Algebra/MA102 | SPRING 2021-22 | B.Tech. 1st Year | 146 | 4.55/5(L), 4.51/5(T) | IIT Goa |
| 8 | Functional Analysis/MA602 | AUTUMN 2021-22 | Ph.D. | 2 | 4.9/5(L), 4.7/5(T) | IIT Goa |
| 7 | Basic Linear Algebra/MA102 | SPRING 2020-21 | B.Tech. 1st Year | 146 | 4.56/5 (L), 4.57/5(T) | IIT Goa |
| 6 | Operator Theory/MA612 | AUTUMN 2020-21 | M.Sc./Ph.D. | 7 | 4.73/5 | IIT Mandi |
| 5 | Topology & Functional Analysis/MA521_1, Functional Analysis/MA521 | SPRING 2019-20 | M.Sc. | 36 | 4.38/5(Graduating), 4.06/5 (Non Graduating) | IIT Mandi |
| 4 | Operator Theory/MA612 | AUTUMN 2019-20 | M.Sc./Ph.D. | 14 | 4.77/5 | IIT Mandi |
| 3 | Linear Algebra/IC111 | SPRING 2018-19 | B.Tech. 1st Year | 195 | 4.48/5 | IIT Mandi |
| 2 | Linear Algebra/MA512 | AUTUMN 2018-19 | M.Sc. | 34 | 4.65/5 | IIT Mandi |
| 1 | Topology & Functional Analysis/MA521 | SPRING 2017-18 | M.Sc. | 17 | 4.42/5 | IIT Mandi |
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) 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, Acta Sci. Math. (Szeged), 87 (2021), 429-461. MR4333917 (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
Project/Travel Grants:
EXTERNAL RESEARCH GRANTS:
1. Completed
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. Ongoing
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).
IIT GOA SEED GRANT:
Grant: Start-up Project Grant at Indian Institute of Technology Goa.
Project Title: A study of Characteristic Functions of Liftings.
Grant Amount: Rs 5,00,000/-.
Grant Period: December 9, 2022 to December 12, 2025.
NBHM INTERNATIONAL TRAVEL GRANT:
National Board for Higher Mathematics (NBHM) Travel Grant of Rs. 3,00,000/- for International Congress of Mathematicians 2018, Rio de Janeiro, Brazil.
Edit Profile