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

Theory of Dilations and Characteristic Functions 

Courses Taught


Sr. No.Course Title/Code            Semester YearB.Tech./M.Sc./Ph.D.No. of StudentsFeedback ScoreInstitute
14Basic Linear Algebra/MA102SPRING 2022-23B.Tech. 1st Year1474.50/5(L), 4.48/5(T)IIT Goa
13Topics in Operator Theory/MA622SPRING 2022-23Ph.D.15/5(L), 5/5(T)IIT Goa
12Differential Equations II/MA302AUTUMN 2022-23B.Tech.984.46/5(L), 4.38/5(T)IIT Goa
11Differential Equations I/MA301AUTUMN 2022-23B.Tech.324.7/5(L), 4.65/5(T)IIT Goa
10Topics in Operator Theory/MA622SPRING 2021-22Ph.D.15/5(L), 4.2/5(T)IIT Goa
9Basic Linear Algebra/MA102SPRING 2021-22B.Tech. 1st Year1464.55/5(L), 4.51/5(T)IIT Goa
8Functional Analysis/MA602AUTUMN 2021-22Ph.D.24.9/5(L), 4.7/5(T)IIT Goa
7Basic Linear Algebra/MA102SPRING 2020-21B.Tech. 1st Year1464.56/5 (L), 4.57/5(T)IIT Goa
6Operator Theory/MA612AUTUMN 2020-21M.Sc./Ph.D.74.73/5IIT Mandi
5Topology & Functional Analysis/MA521_1, Functional Analysis/MA521SPRING 2019-20M.Sc.36


4.06/5 (Non Graduating)

IIT Mandi
4Operator Theory/MA612AUTUMN 2019-20M.Sc./Ph.D.144.77/5IIT Mandi
3Linear Algebra/IC111SPRING 2018-19B.Tech. 1st Year1954.48/5IIT Mandi
2Linear Algebra/MA512AUTUMN 2018-19M.Sc.344.65/5IIT Mandi
1Topology & Functional Analysis/MA521SPRING 2017-18M.Sc.174.42/5IIT Mandi

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) 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, Acta Sci. Math. (Szeged), 87 (2021), 429-461. MR4333917 (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: 


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).


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.


National Board for Higher Mathematics (NBHM) Travel Grant of Rs. 3,00,000/- for International Congress of Mathematicians 2018, Rio de Janeiro, Brazil.


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