University College Cork

1. Home
2. Cork Constraint Computation Centre
3. People

‍

Biography

I am a Government of Ireland Postdoctoral Fellow in the Department of Mathematics, School of Mathematical Sciences.
‍

Research Interests

I am interested broadly in operator theory and operator algebras. In the past I have worked on the spectral and pseudospectral theory of elements of Banach algebras. My current research project is on distributional symmetries and invariance principles in non-commutative probability.

Research Grants

	Project	Funding Body	Start Date	End Date	Award
	Unitary Representations of the Thompson group from stationary Markov chains	Irish Research Council	15-OCT-18	14-OCT-20

‍

Publications

‍

Peer Reviewed Journals

	Year	Publication
	(2018)	'Pseudospectra of elements of reduced Banach algebras II' A. Krishnan and S. H. Kulkarni (2018) 'Pseudospectra of elements of reduced Banach algebras II'. Functional Analysis, Approximation and Computation, 10 (2):33-45   [Full Text] [Details]
	(2017)	'Pseudospectra of elements of reduced Banach algebras' A. Krishnan and S. H. Kulkarni (2017) 'Pseudospectra of elements of reduced Banach algebras'. Advances in Operator Theory, 2 (4):475-493 [DOI] [Full Text] [Details]

‍

Articles

	Year	Publication
	(2017)	Pseudospectrum of an element of a Banach algebra. A. Krishnan and S. H. Kulkarni (2017) Pseudospectrum of an element of a Banach algebra. Articles [DOI] [Details]

‍

Thesis/Dissertation

	Year	Publication
	(2017)	Pseudospectrum of an element of a Banach algebra. A. Krishnan (2017) Pseudospectrum of an element of a Banach algebra. Thesis/Dissertation [Details]

‍

Professional Activities

‍

Honours and Awards

	Year	Title	Awarding Body
	2018	Government of Ireland Postdoctoral Fellowship	Irish Research Council
	2017	Visiting Postdoctoral Fellowship	Indian Statistical Institute Bangalore Centre
	2014	Senior Research Fellowship	Council for Scientific and Industrial Research, India
	2012	Junior Research Fellowship	Council for Scientific and Industrial Research, India
	2011	M.Sc. Scholarship	National Board for Higher Mathematics, India
	2010	M.Sc. Scholarship	Indian Institute of Technology Madras
	2005	National Talent Search Examination Scholarship	National Council of Educational Research and Training, India

‍

Education

	Year	Institution	Qualification	Subject
	2018	Indian Institute of Technology Madras	Doctor of Philosophy	Mathematics
	2012	Indian Institute of Technology Madras	Master of Science	Mathematics
	2010	University of Madras	Bachelor of Science	Mathematics

‍

Journal Activities

	Journal	Role	To / From
	Journal Of The Australian Mathematical Society	Referee	-