CANT 2021 Program
Monday, May 24, 2021
8:00 - 8:25 a.m.

Sean Prendiville, University of Lancaster, UK
Extremal Sidon sets are Fourier uniform, with arithmetic applications

8:30 - 8:55 a.m.

Péter Pál Pach, TU Budapest, Hungary
Sum-full sets are not zero-sum-free

9:00 - 9:25 a.m.

Peter Bradshaw, University of Bristol, UK
Energy bounds for k-fold sums in very convex sets

9:30 - 9:55 a.mSergei Konyagin, Steklov Mathematical Institute, Moscow, Russia
Gaps between totients

10:00 - 10:30 a.m.

Break

10:30 - 10:55 a.m.

Mel Nathanson, Lehman College (CUNY)
Sidon systems for linear forms and the Bose-Chowla argument

11:00 - 11:25 a.m.

Misha Rudnev, University of Bristol, UK
On distinct values of bilinear forms, cross-ratios, etc.

11:30 - 11:55 a.m.

Sophie Stevens, Johan Radon Institute (RICAM), Austria
On sumsets of convex functions

12:00 - 12:25 p.m.

Zoltán Füredi, University of Illinois at Urbana-Champaign
An upper bound on the size of Sidon sets

12:30 - 1:00 p.m.

Break

1:00 - 1:25 p.m.

Aled Walker, Trinity College Cambridge, UK
Effective results on the size and structure of sumsets

1:30 - 1:55 p.m.

Mikhail Gabdullin, Steklov Mathematical Institute, Russia
Sets whose differences avoid squares modulo m

CANT 2021 Program
Monday, May 24, 2021
2:00 - 2:25 p.m.

Oleksiy Klurman, University of Bristol, UK
On the “variants” of the Erdős discrepancy problem

2:30 - 2:55 a.m

Trevor Dion Wooley, Purdue University
Rudin, polynomials, and nested efficient congruencing

3:00 - 3:25 p.m.

Break

3:30 - 3:55 p.m.

Wolfgang Schmid, LAGA, University of Paris 8, France
Sequences of sets over finite abelian groups and weighted zero-sum sequences

4:00 - 4:25 p.m.

Noah Kravitz, Princeton University
Inverse problems for minimal complements

4:30 - 4:55 p.m.

Robert Hough, SUNY at Stony Brook
Subconvexity of the Shintani zeta functions

5:00 - 5:25 p.m.

Jeffrey Lagarias, University of Michigan
Partial factorizations of a generalized product of binomial coefficients

5:30 - 6:00 p.m.

Break

6:00 - 6:25 p.m.

Steve Senger, Missouri State University
Upper and lower bounds on chains determined by angles

6:30 - 6:55 p.m.

Kåre Schou Gjaldbæk, CUNYClassification of quadratic packing polynomials on sectors of R2

7:00 - 7:25 p.m.

Catherine Yan, Texas A & M University
Vector parking functions with rational boundary

7:30 - 7:55 p.m.

Tim Trudgian, UNSW Canberra at ADFA
Twenty-four carats of Goldbach oscillations

CANT 2021 Zoom Program
Tuesday, May 25, 2021
8:00 - 8:25 a.m.

Audie Warren, Johan Radon (RICAM), Austria
Additive and multiplicative Sidon sets

8:30 - 8:55 a.m.

Artūras Dubickas, Vilnius University, Lithuania
On polynomial Sidon sequences

9:00 - 9:25 a.m.

Jörg Brüdern, Universität Göttingen, Germany
Expander estimates for cubes

9:30 - 9:55 a.mImre Z. Ruzsa, Alfréd Rényi Institute of Mathematics, Hungary
Additive decomposition of square-free numbers

10:00 - 10:30 a.m.

Break

10:30 - 10:55 a.m.

I. D. Shkredov, Steklov Mathematical Institute, Russia
On an application of higher energies to Sidon sets

11:00 - 11:25 a.m.

George Shakan, University of Oxford, UKA large gap in a dilate of a set

11:30 - 11:55 a.m.

Anne de Roton, Université de Lorraine, France
Critical sets with small sumset in R

12:00 - 12:25 p.m.

Yuri Tschinkel, New York University
Arithmetic properties of equivariant birational types

12:30 - 1:00 p.m.

Break

1:00 - 1:25 p.m.

Aliaksei Semchankau, Steklov Mathematical Institute, Russia
A new bound for A(A + A) for large sets

1:30 - 1:55 p.m.

Michael Curran, University of Oxford, UK
Sumset structure, size, and Ehrhart theory

CANT 2021 Zoom Program
Tuesday, May 25, 2021
2:00 - 2:25 p.m.

James Wheeler, University of Bristol, UK
Incidence theorems for modular hyperbolae in positive characteristic

2:30 - 2:55 p.m

Lan Nguyen, University of Wisconsin - Parkside
On the existence of bi-Lipschitz equivalences and quasi-isometries between arithmetic m

3:00 - 3:30 p.m.

Break

3:30 - 3:55 p.m.

Robert Vaughan, Pennsylvania State University
On generating functions in additive number theory

4:00 - 4:25 p.m.

Souktik Roy, University of Illinois at Urbana-Champaign
Generalized sums and products

4:30 - 4:55 p.m.

Jianping Pan, University of California, Davis
Tableaux and polynomial expansions

5:00 - 5:25 p.m.

Daniel G. Glasscock, University of Massachusetts, Lowell
Sums and intersections of multiplicatively invariant sets in the integers

5:30 - 6:00 p.m.

Break

6:00 - 6:25 p.m.

James Sellers, University of Minnesota Duluth
Sequentially congruent partitions and partitions into squares

6:30 - 6:55 p.m.

Robert Dougherty-Bliss, Rutgers University - New BrunswickMore irrationally good approximations from Beukers integrals

7:00 - 7:25 p.m.

Russell Jay Hendel, Towson University
Sums of squares: Methods for proving identity families

7:30 - 7:55 p.m.

Robert Donley, Queensborough Community College (CUNY)
Vandermonde convolution for ranked posets

8:00 - 8:25 p.m.

Olivine Silier, California Institute of Technology
Structural Szemerédi-Trotter theorem for lattices

CANT 2021 Zoom Program
Wednesday, May 26, 2021
7:30 - 7:55 a.m.

Bhuwanesh Rao Patil, IIT Roorkee, India
Multiplicative patterns in syndetic sets

8:00 - 8:25 a.m.

Sean Eberhard, University of Cambridge, UK
The apparent structure of dense Sidon sets

8:30 - 8:55 a.m.

Carlo Sanna, Politecnico di Torino, Italy
Additive bases and Niven numbers

9:00 - 9:25 a.m.

Oliver Roche-Newton, Johann Radon Institute (RICAM), Austria
The Elekes-Szabo Theorem and sum-product estimates for sparse graphs

9:30 - 9:55 a.mHarald Andres Helfgott, Universität Göttingen, Germany
Expansion, divisibility and parity

10:00 - 10:30 a.m.

Emmanuel Kowalski, ETH Zürich, Switzerland
Some families of Sidon sets arising in algebraic geometry

10:30 - 10:55 a.m.

Pooja Punyani, Indian Institute of Technology, New Delhi, India.
On characterizing small changes in the Frobenius number

11:00 - 11:25 a.m.

Leonid Fel, Technion - Israel Institute of Technology, Israel
Genera of numerical semigroups and polynomial identities for degrees of syzygies

11:30 - 11:55 a.m.

Sándor Kiss, Budapest University of Technology and Economics, Hungary
Generalized Sidon sets of perfect powers

12:00 - 12:25 p.m.

Neil Hindman, Howard University
Strongly image partition regular matrices

12:30 - 1:00 p.m.

Break

1:00 - 1:25 p.m.

Lajos Hajdu, University of Debrecen, Hungary
Multiplicative (in)decomposability of polynomial sequences

1:30 - 1:55 p.m.

Zachary Chase, University of Oxford, UKA random analogue of Gilbreath’s conjectureCANT 2021 Zoom Program
Wednesday, May 26, 2021
2:00 - 2:25 p.m.

Konstantin Olmezov, Moscow Institute of Physics and Technology, Russia
On additive energy of convex sets with higher concavity

2:30 - 2:55 p.m

Paul Pollack, University of Georgia
Multiplicative orders mod p

3:00 - 3:25 p.m.

Break

3:30 - 3:55 p.m.

Alex Rice, Millsaps College
Two constructions related to well-known distance problems

4:00 - 4:25 p.m.

Sinai Robins, University of Sao Paolo, Brazil
The null set of a of a polytope, and the Pompeiu property for polytopes

4:30 - 4:55 p.m.

Richard Magner, Boston University
Classifying partition regular polynomials in a nonlinear family

5:00 - 5:25 p.m.

Elżbieta Boldyriew, John Haviland, Phúc Lâm, John Lentfer,
Steven J. Miller, Fernando Trejos Suárez, Williams College
Completeness of generalized Fibonacci sequences

5:30 - 6:00 p.m.

Break

6:00 - 6:25 p.m.

Geertrui Van de Voorde, University of Canterbury, New ZealandOn the product of elements with prescribed trace

6:30 - 6:55 p.m.

Arthur Paul Pedersen, City College (CUNY)
The Hahn-Hölder theorem

7:00 - 7:25 p.m.

Brian McDonald, University of Rochester
Cycles of arbitrary length in distance graphs on Fdq

7:30 - 7:55 p.m.

Noah Lebowitz-Lockard,
On factorizations into distinct parts

8:00 - 8:25 p.m.

Ognian Trifonov, University of South Carolina
Extreme covering systems of the integers

CANT 2021 Zoom Program
Thursday, May 27, 2021
7:30 - 7:55 a.m.

Javier Pliego, University of Bristol, UK
Uniform bounds in Waring’s problem over diagonal forms

8:00 - 8:25 a.m.

Jinhui Fang, Nanjing University of Information Science and Technology, China
On generalized perfect difference sumset

8:30 - 8:55 a.m.

Norbert Hegyvári, Eötvös University and Rényi Institute, Hungary
Communication complexity, coding, and combinatorial number theory

9:00 - 9:25 a.m.

Qinghai Zhong, Universität Graz, Austria
On product-one sequences over subsets of groups

9:30 - 9:55 a.m

Oriol Serra, Universitat Politècnica de Catalunya, Barcelona
Triangulations and the Brunn–Minkowski inequality

10:00 - 10:30 a.m.

Break

10:30 - 10:55 a.m.

Yifan Jing, University of Illinois at Urbana-Champaign
Minimal and nearly minimal measure expansions in connected locally compact group

11:00 - 11:25 a.m.

Scott Chapman, Sam Houston State University
When Is a Puiseux monoid atomic?

11:30 - 11:55 a.m.

Paul Baginski, Fairfield University
Abundant numbers, semigroup ideals, and nonunique factorization

12:00 - 12:25 p.m.

Jozsef Balogh, University of Illinois at Urbana-Champaign
On the lower bound on Folkman cube

12:30 - 1:00 p.m.

Break

1:00 - 1:25 p.m.

Fatma Karaoglu, Tekirdag Namik Kemal University, Turkey
On the number of lines of a smooth cubic surface

1:30 - 1:55 p.m.

Mehdi Makhul, Johann Radon Institute (RICAM), Austria
The Elekes-Szabó problem and the uniformity conjectureCANT 2021 Zoom Program
Thursday, May 27, 2021

2:00 - 2:25 p.m.

Christian Elsholtz, Graz University of Technology, Austria
Fermat’s Last Theorem implies Euclid’s infinitude of primes

2:30 - 2:55 p.m

David Grynkiewicz, University of Memphis
Characterizing infinite subsets of lattice points having finite-like behavior

3:00 - 3:25 p.m.

Break

3:30 - 3:55 p.m.

Thái Hoàng Lê, University of Mississippi
Bohr sets in sumsets

4:00 - 4:25 p.m.

Karyn McLellan , Mount Saint Vincent University, Canada
A problem on generating sets containing Fibonacci numbers

4:30 - 4:55 p.m.

Max Wenqiang Xu, Stanford UniversityDiscrepancy in modular arithmetic progressions

5:00 - 5:25 p.m.

Anqi Li, MIT
Local properties of difference sets

5:30 - 6:00 p.m.

Break

6:00 - 6:25 p.m.

Ryan Ronan, Baruch College (CUNY)
An asymptotic for the growth of Markoff-Hurwitz tuples

6:30 - 6:55 p.m.

Esther Banaian, University of Minnesota
A generalization of Markov numbers

7:00 - 7:25 p.m.

Gabriela Araujo-Pardo, Universidad Nacional Autónoma de México, MéxicoComplete colorings on circulant graphs and digraphs

7:30 - 7:55 p.m.

Kaylee Weatherspoon, University of South Carolina
A description of edge-maximal separable unit distance graphs in the plane

CANT 2021 Zoom Program
Friday, May 28, 2021
8:00 - 8:25 a.m.

Paolo Leonetti, Università Bocconi, Milano, Italy
On Poissonian pair correlation sequences with few gaps

8:30 - 8:55 a.m.

Emma Bailey, University of Bristol, UK
Generalized moments and large deviations of random matrix
polynomials and L-functions

9:00 - 9:25 a.m.

Louis-Pierre Arguin, Baruch College (CUNY)
The Fyodorov-Hiary-Keating conjecture

9:30 - 9:55 a.m

Shalom Eliahou, Université du Littoral Côte d’Opale, France
Optimal bounds on the growth of iterated sumsets in abelian semigroups

10:00 - 10:25 a.m.

Karameh Muneer, Palestine Polytechnic University, Palestine
Generalizations of B. Berggren and Price matrices

10:30 - 10:55 a.m.

Valérie Berthé, Université de Paris, CNRS, France
Dynamics of Ostrowski’s numeration: Limit laws and Hausdorff dimensions

11:00 - 11:25 a.m.

Tom Slattery, University of Warwick, UKOn Fibonacci partitions

11:30 - 11:55 a.m.

Ayesha Hussain, University of Bristol, UK
Distributions of Dirichlet character sums

12:00 - 12:25 p.m.

George Andrews, Pennsylvania State University
Schmidt Type partitions and modular forms

12:30 - 1:00 p.m.

Break

1:00 - 1:25 p.m.

Maciej Ulas, Jagiellonian University, Krakow, Poland
Equal values of certain partition functions via Diophantine equations

1:30 - 1:55 p.m.

Akshat Mudgal, University of Bristol, UK
Additive energies on spheres

CANT 2021 Zoom Program
Friday, May 28, 2021
2:00 - 2:25 p.m.

Krystian Gajdzica, Jagiellonian University, Krakow, Poland
Arithmetic properties of the restricted partition function pA (n, k)

2:30 - 2:55 p.m

Alex Iosevich, University of Rochester
Uniform distribution and incidence theorems

3:00 - 3:25 p.m.

Break

3:30 - 3:55 p.m.

Joshua Cooper, University of South Carolina
Recurrence ranks and moment sequences

4:00 - 4:25 p.m.

Danielle Cox, Mount Saint Vincent University, Canada
A sequence arising from diffusion in graphs

4:30 - 4:55 p.m.

Mizan R. Khan, Eastern Connecticut State University
To count clean triangles we count on imph

5:00 - 5:25 p.m.

Amanda Francis, Mathematical Reviews, AMS
Sequences of integers related to resistance distance in structured graphs

5:30 - 6:00 p.m.

Break

6:00 - 6:25 p.m.

Shane Chern, Pennsylvania State University
Euclidean billiard partitions

6:30 - 6:55 p.m.

Chi Hoi Yip, University of British Columbia, Canada
Gauss sums and the maximum cliques in generalized Paley graphs of square order

7:00 - 7:25 p.m.

Brad Isaacson, New York City College of Technology (CUNY)
Three imprimitive character sums

7:30 - 7:55 p.m.

Yaghoub Rahimi, Georgia Institute of Technology
Endpoint `p improving estimates for prime averages