Mathematics occupies a core intellectual position at NISER, an institution that is striving to be recognized as a Center of Excellence in science education and research in basic sciences.The School of Mathematics was established as a core department of the NISER along with other three Schools from the very beginning of NISER in 2007. It is growing rapidly and is now functioning in full swing. Currently, the school offers masters programme (5yr integrated) [syllabus] in Mathematics along with Ph. D. programme [Syllabus].
Appllications are invited from indian nationals for admission into PhD program in Mathematics who have qualified atleast one of these national level examinations i.e. CSIR-UGC-NET (LS or JRF)/ GATE/ NBHM* or any other equivalent national level examination valid for the academic year 2020-2021.
* A student will be consider to be qualified in national level written examination conducted by NBHM if he/she has recevied call letter from NBHM to appere in the interview for PhD fellowship (irrespective of getting selected for NBHM PhD Fellowship 2020 or not).
Special lectures:Few special lectures will be given by eminent mathematicians.
Financial Support: All participants will be reimbursed sleeper class train fare via the shortest route from their place of stay. The institute will take care of local hospitality.
Date/Time: Wednesday, October 21, 2020 - 15:30 to 16:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Kamalakshya Mahatab, University of Helsinki
Title: Application of The Resonance Method in Analytic Number Theory
In this talk we will briefly talk about the resonance method and some recent progress in the theory of the Riemann zeta function. We will also see some new results on Hardy's Z function, Argument of the Riemann Zeta function, Dirichlet L- functions, Divisor problem and Circle problem as...
Date/Time: Friday, September 18, 2020 - 15:30 to 16:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Sudhir Pujahari, The University of Hong Kong
Title: Arithmetic and statistics of sums of eigenvalues of Hecke operators
In the first part of the talk, we will discuss briefly the theory of Equidistribution. In the second part of the talk we will see the distribution of gaps between eigenvalues of Hecke operators in both horizontal and vertical settings. Moreover, we will deduce a stronger version of multiplicity...
Date/Time: Thursday, September 17, 2020 - 15:30 to 16:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Eshita Mazumdar, ISI Bangalore
Title: Two Extremal Problems on Set Addition
Typically an extremal problem deals with the problem of estimating the maximum or mini- mum possible cardinality of a collection of finite objects that satisfies certain requirements. In my talk I am going to present my most recent research works related to extremal problems. For a finite...
Date/Time: Wednesday, September 16, 2020 - 15:30 to 16:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Ramesh Manna, Indian Institute of Science
Title: Fourier integral operator, unique continuation property (UCP) and momentum ray transforms
In this talk, we prove the local smoothing estimate for Fourier integral operators with phase function $h(x, t, \xi)= x . \xi + t|\xi|$, and amplitude function $a(x,t, \xi)$ belongs to $S^m$, the symbol class of order m less or equal to 0. Such Fourier integral operators...
Date/Time: Tuesday, September 15, 2020 - 15:30 to 16:30
Venue: SMS Conference Room (via GoogleMeet)
Speaker: Ashish Mishra, Universidade Federal Do Pará
Title: On representation theory of partition algebras for complex reflection groups
A basis of the centralizer algebra for the action of the complex reflection group G(r, p, n) on the tensor product of its reflection representa- tion was given by Tanabe, and for p = 1, the corresponding partition algebra was studied by Orellana. In this talk, we first define the partition...
