The Schedule

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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

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