Workshop on
Number Theory

The objective of the conference is to invite experts working in the areas of L-functions and related areas to give pedagogic lectures aimed for providing basic understanding of the research topics being covered and highlighting current status. Leading mathematicians working on different aspects of Number Theory will be invited to give lectures that provide a glimpse of cutting edge research in the field. Young researchers will have the opportunity for contributed talks on their research work and to interact with the experts during the conference. The conference is also intended to stimulate further communication among the researchers, which will foster new collaborations and new research directions.

• SPONSORS & CONTACTS •

Speakers

The following speakers have confirmed their participation and to deliver talks, the list will be updated from time to time.

A Sankaranarayanan

University of Hyderabad

Abhash Kumar Jha

IIT BHU

Akshaa Vatwani

IIT Gandhinagar

Anup Dixit

IMSc Chennai

Arvind Kumar

IIT Jammu

B Ramakrishnan

ISI-NE Tezpur

Bibekananda Majhi

IIT Indore

D Surya Ramana

HRI Prayagraj

Jyoti Sengupta

IACS Kolkata

K Mallesham

IIT Bombay

K Srinivas

IMSc Chennai

Kaneenika Sinha

IISER Pune

Karam Deo Shankhadhar

IISER Bhopal

Kasi Viswanadham

IISER Berhampur

M Manickam

IISER Bhopal

M Waldschmidt

Sorbonne University

Manish Pandey

SRM University

Moni Kumari

IIT Jodhpur

R Thangadurai

HRI Prayagraj

S D Adhikari

RKMVERI Kolkata

Saurabh Singh

IIT Kanpur

Shanta Laishram

ISI Delhi

Siddhi Pathak

CMI Chennai

Stephan Baier

RKMVERI Kolkata

Contributed Talks

• Adersh V KTKM College of Arts and Science, Kerala
• Aditi SavaliaIIT Gandhinagar
• Dilip Kumar SahooIISER Berhampur
• Esrafil Ali MollaRKMVERI, Belur
• Gorekh Prasad SenaNISER
• Jagannath BhanjaIMSc
• Lalit VaishyaIMSc
• Md. Ibrahim MollaRKMVERI, Belur
• Mrityunjoy CharanNISER
• Nilanjan BagNilanjan Bag
• Prashant TiwariHRI, Prayagraj
• Sandeep E MISI-NE, Tezpur
• Shivani GoelIIIT Delhi
• Shivansh PandeyNISER
• SreejithKSOM, Calicut

Accommodation

Accommodation will be provided to all the participants in NISER guest house during the period of the workshop. Participants may plan to reach NISER on Sunday, February 19, 2023 and depart by the forenoon of Sunday, February 26, 2023.

Travel Support

Participants are requested to arrange travel support from their respective institutes. There is some limited travel fund available for young researchers. Preference for participation in the conference will be given to those applicants who have their own travel support. As per institute rules, 3-AC and 2-AC train fare can be reimbursed to the Ph.D students and Post-doctoral fellows, respectively, from their workplace to NISER via the shortest route.

Participants

Registration is Closed !
List of participants will be updated soon.

Schedule of Talks


Talk-Titles & Abstracts

08:30 - 13:00

08:30 - 09:00 | Registration

09:00 - 10:00 | M Waldschmidt
[1/4] A survey on Diophantine properties of the Riemann zeta function

10:00 - 11:00 | Kaneenika Sinha
[1/4] Central limit theorems in number theory

11:00 - 11:30 | Tea/Coffee Break

11:30 - 13:00 | D Surya Ramana
[1/3] Large sieve

13:00 - 14:30 | Lunch Break

14:30 - 17:30

14:30 - 15:30 | Kaneenika Sinha
[2/4] Central limit theorems in number theory

15:30 - 16:00 | Tea/Coffee Break

16:00 - 16:30 | Shivansh Pandey
Nonvanishing of kernel functions and Poincaré series for Jacobi forms

16:30 - 17:00 | Mrityunjoy Charan
Poincaré series associated to any q series

17:00 - 17:30 | Sandeep E M
Zero free regions of spectral averages of L-functions

09:00 - 13:00

09:00 - 10:00 | M Waldschmidt
[2/4] A survey on Diophantine properties of the Riemann zeta function

10:00 - 11:00 | Kaneenika Sinha
[3/4] Central limit theorems in number theory

11:00 - 11:30 | Tea/Coffee Break

11:30 - 13:00 | D Surya Ramana
[2/3] Large sieve

13:00 - 14:30 | Lunch Break

14:30 - 17:30

14:30 - 15:30 | M Waldschmidt
[3/4] A survey on Diophantine properties of the Riemann zeta function

15:30 - 16:00 | Tea/Coffee Break

16:00 - 16:30 | Jagannath Bhanja
[1/2] Sumsets of dilated integer sets

16:30 - 17:00 | Lalit Vaishya
An upper bound estimate on first ever negative sign of Hecke eigenvalues at integers in sparse set

17:00 - 17:30 | Nilanjan Bag
Bounds on bilinear sums of Kloosterman sums

09:00 - 13:00

09:00 - 10:00 | M Waldschmidt
[4/4] A survey on Diophantine properties of the Riemann zeta function

10:00 - 11:00 | Kaneenika Sinha
[4/4] Central limit theorems in number theory

11:00 - 11:30 | Tea/Coffee Break

11:30 - 13:00 | D Surya Ramana
[3/3] Large sieve

13:00 - 14:30 | Lunch Break

14:30 - 18:00

14:30 - 15:00 | Gorekh Prasad Sena
Lehmer's problem under splitting conditions

15:00 - 15:30 | Aditi Savalia
An induction principle for the Bombieri-Vinogradov theorem over Fq[t] and a variant of the Titchmarsh divisor problem

15:30 - 16:00 | Tea/Coffee Break

16:00 - 16:30 | Dilip Kumar Sahoo
Holomorphicity of the desingularized multiple zeta functions

16:30 - 17:00 | Adersh V K
On newforms and Saito-Kurokawa lifts

17:00 - 17:30 | Prashant Tiwari
On sign changes of primitive Fourier coefficients of Siegel cusp forms

17:30 - 18:00 | Shivani Goel
Higher convolutions of Ramanujan sums and the HardyLittlewood prime tuples conjec ture

09:00 - 13:00

08:30 - 09:00 | Registration

09:00 - 09:30 | Inauguration

09:30 - 10:15 | B Ramakrishnan
Some remarks on the Shimura correspondence

10:15 - 11:00 | M Manickam
Simultaneous non vanishing of central values of the twisted Lfunctions of two normalised newforms of weight 2k and level p, an odd prime

11:00 - 11:30 | Tea/Coffee Break

11:30 - 12:15 | Jyoti Sengupta
TBA

12:15 - 13:00 | Karam Deo Shankhadhar
Mock modular forms whose shadows are Eisenstein series and theta powers

13:00 - 14:30 | Lunch Break

14:30 - 17:45

14:30 - 15:15 | Abhash Kumar Jha
L-functions associated with Jacobi forms

15:15 - 16:00 | Akshaa Vatwani
Limitations to equidistribution in arithmetic progressions

16:00 - 16:30 | Tea/Coffee Break

16:30 - 17:15 | Saurabh Singh
Integer points on quadrics with automorphic weights

17:15 - 17:45 | Arvind Kumar
Ramanujan-style congruences

09:00 - 13:00

09:00 - 09:45 | S D Adhikari
Some algebraic methods in zero-sum problems of additive combinatorics

09:45 - 10:30 | A Sankaranarayanan
On the average behavior of coefficients related to triple product L-functions

10:30 - 11:00 | Anup Dixit
Lehmer's conjecture for certain infinite extensions

11:00 - 11:30 | Tea/Coffee Break

11:30 - 12:15 | R Thangadurai
TBA

12:15 - 13:00 | Stephan Baier
Solutions of x12 + x22 − x32 = n2 with small x3

13:00 - 14:30 | Lunch Break

14:30 - 17:45

14:30 - 15:15 | Kotyada Srinivas
TBA

15:15 - 16:00 | Shanta Laishram
On the stability of certain higher degree polynomials

16:00 - 16:30 | Tea/Coffee Break

16:30 - 17:15 | Kasi Viswanadham
Discrepancy of generalized polynomials

17:15 - 17:45 | Siddhi Pathak
TBA

09:00 - 13:00

09:00 - 09:30 | K Mallesham
Second moment of derivatives of GL(2) L-functions over quadratic twist

09:30 - 10:00 | Bibekananda Majhi
Hardy-Littlewood-Riesz type criteria for the generalized Riemann hypothesis

10:00 - 10:30 | Manish Pandey
TBA

10:30 - 11:00 | Esrafil Ali Molla
Diophantine approximation with prime restriction in quadratic function fields

11:00 - 11:30 | Tea/Coffee Break

11:30 - 12:00 | Moni Kumari
Comparing Hecke eigenvalues of Siegel eigenforms

12:00 - 12:30 | Sreejith
Certain plus spaces of newforms of half-integral weight

12:30 - 13:00 | Md Ibrahim Molla
Some Inverse Problems in Zero-sum Theory

13:00 - 14:30 | Lunch

~ End of Workshop ~

Sponsors

[Parent] : Department of Atomic Energy, Govt. of India
[Host] : National Institute of Science Education and Research

Contact Us

Postal contact address:

Organisers, Workshop on Number Theory
School of Mathematical Sciences
National Institute of Science Education and Research, Bhubaneswar
PO: NISER, Via: Jatni, District: Khurda, Odisha - 752050

 

  •   +91-674-2494082 / 2494216
  •   brundaban.sahu@ | jaban@ | senthil@ | spujahari@ [niser.ac.in]
  • School of Mathematical Sciences, NISER
  • +91-674-2494082 / 2494216