gpbalakumar | IIT Palakkad

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04923 226 300 (Office) | info@iitpkd.ac.in

INDIAN INSTITUTE OF TECHNOLOGY PALAKKAD
Kanjikode | Palakkad | Kerala - 678623

0491 209 2001 (Office) | info@iitpkd.ac.in

Dr. G.P. Balakumar

Assistant Professor

Mathematics

Research Area: Several Complex Variables

Biosketch

Education (Reverse Chronological order) :

PhD in Mathematics (2007-2013) from the Indian Institute of Science.

M. Math (2005-2007) from the Indian Statistical Institute.

B. Math (Hons.), (2002-2005) from the Indian Statistical Institute.

Previous Experiences:

DST--INSPIRE Faculty Fellow at the Indian Statistical Institute, Chennai-center, during December 2013 -- July 2017.

Post-Doctoral Fellow at the Institute of Mathematical Sciences, during April 2013 -- December 2013.
Teaching
Courses taught at IIT-PKD:
1. MA 1010 -- Calculus of one and several variables, August -- November, 2017.
2. MA 1020 -- Vector Calculus and Linear Algebra, January -- April, 2017.
3. MA 2020 -- Differential Equations, August -- November, 2018.
4. MA 1010 -- Calculus of one and several variables (second half), 2018.
5. MA 2021 -- Algebra, January -- April, 2019.
6. MA 2010 -- Complex Variables (second half), March - April 2019.
Additional Information
Title

Workshops/Conferences/Talks:
Description
Talk on the Schwarz lemma, Poincare metric and some applications, in February 2018 at CUSAT.

Lectures on Complex Analysis during first two weeks of the Annual Foundational School held at IISER Pune during May 2018.

Lectures (on 'Invariant metrics, distances and applications') during the second week of the Advanced Instructional School on Several Complex Variables, held at IISc during June 2018.

Lectures (on 'Conformal Mappings and Normal Families') for the workshop 'Complex Analysis and Complex Dynamics' held at IIT-Tirupati during December 2018,

Talk titled 'Introduction to Several Complex Variables', at Victoria College Palakkad on 23rd March 2019,

Six lectures (Schwarz lemma, Riemann Mapping theorem and the Monodromy theorem) at the Instructional School for Teachers at Bhaskaracharya Pratishthana Pune, during May 2019,

Talk titled 'Remarks on the higher dimensional Suita conjecture', at ICTS Bangalore on 22nd July 2019.
Publications

Further remarks on the higher dimensional Suita conjecture
G. P. Balakumar, Diganta Borah, Prachi Mahajan and Kaushal Verma
Ann. Pol. Math. (To appear) (2020)

Remarks on the higher dimensional Suita conjecture
G. P. Balakumar, Diganta Borah, Prachi Mahajan and Kaushal Verma
Proc. Amer. Math. Soc. 147 3401-3411 (2019)

Analysing the Wu metric on a class of eggs in Cn—I
G. P. Balakumar; P. Mahajan
Proc. Indian Acad. Sci. Math. Sci. 127 323–335 (2017)

Analysing the Wu metric on a class of eggs in Cn—II
G. P. Balakumar; P. Mahajan
Proc. Indian Acad. Sci. Math. Sci. 127 463–470 (2017)

Bounds for invariant distances on pseudoconvex Levi corank one domains and applications
G. P. Balakumar; P. Mahajan; K. Verma
Ann. Fac. Sci. Toulouse Math. 24 281–388 (2015)

Model domains in C3 with abelian automorphism group
G. P. Balakumar
Complex Var. Elliptic Equ. 59 369–411 (2014)

Some regularity theorems for CR mappings
G. P. Balakumar, K. Verma
Math. Z 274 117–144 (2013)