The Schedule

All times are in Indian Standard Time (IST)

Click here to use online time zone converter

Please note that daylight saving time for Americas starts on 14th March.

Day 1

12 March 2021

13:00 - 14:00

Correlation between Salie sums. additive energy of modular roots and second moments of some half integral weight L-series. Slides

Igor Shparlinski

14:00 - 15:00

Explicit constructions of unbalanced Ramanujan bi-graphs.

Kaneenika Sinha

15:00 - 16:00

Linear independence of some series.

R. Thangadurai

Break 16:00 - 16:30

16:30 - 17:30

Half-isolated zeros and zero-density estimates.

James Maynard

17:30 - 18:30

Simultaneous reductions of CM elliptic curves. Slides

Philippe Michel

18:30 - 19:30

The normal number of prime divisors of arithmetical functions evaluated at shifts of prime arguments.

M. Ram Murty

Break 19:30 - 20:30

20:30 - 21:30

The 3k − 4 Theorem modulo a prime for Large Density Sumsets.

David Grynkiewicz

21:30 - 22:30

How Ramanujan May Have Discovered of the Mock Theta Functions

George E. Andrews

Day 2

13 March 2021

14:00 - 15:00

On Dirichlet series of degree d ≥ 1 in the class A. Slides

Ravi Raghunathan

15:00 - 16:00

Recent applications of delta symbol

Ritabrata Munshi

Break 16:00 - 16:30

16:30 - 17:30

Conditional Bounds on Siegel zeros.

Gautami Bhowmik

17:30 - 18:30

Beyond the spherical sup-norm problem. Slides

Gergely Harcos

18:30 - 19:30

On general Dirichlet series with positive integer coefficients

Anup Dixit

Break 19:30 - 20:30

Due to connectivity problem, Kaisa Matomaki 's talk has been rescheduled at 16:30 on 18th March

21:30 - 22:30

The normal concentration of divisors. Slides

Kevin Ford

Day 3

14 March 2021

13:00 - 14:00

Some weighted average of L-function of modular forms.

M. Manickam

14:00 - 15:00

Diophantine approximation with prime constraint in quadratic number fields. Slides

Stephan Baier

15:00 - 16:00

Beyond uniform distribution: Level spacing, pair correlation and minimal gaps.

Zeev Rudnick

Break 16:00 - 16:30

16:30 - 17:30

The Schinzel-Zassenhaus conjecture ( after V. Dimitrov ) Slides

Yuri Bilu

17:30 - 18:30

Variations around the Brun-Titchmarsh Inequality.

Olivier Ramare

18:30 - 19:30

Large fluctuations of random multiplicative functions

Adam Harper

Break 19:30 - 20:30

20:30 - 21:30

Twisted moments

Brian Conrey

21:30 - 22:30

The distribution of primes in short intervals.

Andrew Granville

Day 4

15 March 2021

13:00 - 14:00

On the behavior of multiple zeta-functions with identical arguments on the real line.

Kohji Matsumoto

14:00 - 15:00

Rational points on certain super elliptic curve.

N. Saradha

15:00 - 16:00

Poor bounds for a rich problem.

Tim Browning

Break 16:00 - 16:30

16:30 - 17:30

Remarks on the Selberg–Delange method (joint work with Gerald Tenenbaum) Slides

Regis de la Bretèche

17:30 - 18:30

On sums of three cubes. Slides

Jean-Marc Deshouillers

19:00 - 21:00

Felicitation

Day 5

16 March 2021

13:00 - 14:00

Mean-Value Theorems of ζ(s) on Certain Vertical Lines.

A. Sankaranarayanan

14:00 - 15:00

Explicit images of a certain class of modular forms of half-integral weight under the Shimura map.

B. Ramakrishnan

15:00 - 16:00

Multiplicative functions in large arithmetic progressions and applications Slides

Gérald Tenenbaum

Break 16:00 - 16:30

16:30 - 17:30

The Rudin-Shapiro function in finite fields

Cécile Dartyge

17:30 - 18:30

Exponential sums, Sidon sets and tannakian categories. Slides

Emmanuel Kowalski

18:30 - 19:30

The Weyl bound for triple product L-functions. Slides

Valentin Blomer

Break 19:30 - 20:30

20:30 - 21:30

The large sieve for character sums with prime moduli.

Henryk Iwaniec

21:30 - 22:30

L-values of U(3)x U(2), non-vanishing and subconvexity Slides

Dinakar Ramakrishnan

Day 6

17 March 2021

13:00 - 14:00

A variation of a transcendence criterion of Adamczewski, Bugeaud and Luca

Florian Luca

14:00 - 15:00

On the Fourier Coefficients of certain Hilbert modular forms.

Kalyan Chakraborty

15:00 - 16:00

Schanuel’s Conjecture: algebraic independence of transcendental numbers Slides

Michel Waldschmidt

Break 16:00 - 16:30

16:30 - 17:30

Two applications of Macaulay’s theorem to Additive Combinatorics Slides

Shalom Eliahou

17:30 - 18:30

When the Values of Pure Math Get Refracted in Applied Math - for Better or Worse.

Neal Koblitz

18:30 - 19:30

Balanced Derivatives, Identities, and Bounds for Trigonometric Sums and Bessel Series Slides

Bruce Berndt

Break 19:30 - 20:30

20:30 - 21:30

Sidon sets for linear forms.

Melvyn Nathanson

21:30 - 22:30

The least prime in a conjugacy class.

V. Kumar Murty

Day 7

18 March 2021

13:00 - 14:00

A problem of A. Sarkozy

D. S. Ramana

14:00 - 15:00

Gaps between zeros of Epstein's zeta-function.

K. Srinivas

15:00 - 16:00

On linear independence of special values of Lerch functions.

Sinnou David

Break 16:00 - 16:30

16:30 - 17:30

Moments of Dirichlet L-functions.

Kaisa Matömaki

17:30 - 18:30

One-Level density for cubic characters over the Eisenstein field. (Joint work with Ahmet M. Guloglu)

Chantal David

18:30 - 19:30

Convergence to Plancherel measure of Hecke eigenvalues and bounded window cutoff for random walks of Ramanujan Graphs

Peter Sarnak

Break 19:30 - 20:30

20:30 - 21:30

Distribution of partition statistics in arithmetic progressions

Ken Ono

21:30 - 22:30

Almost all entries in the character table of the symmetric group are divisible by any given prime.

Kannan Soundararajan