Combinatorial and additive number theory (CANT 2021)

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number theory

CUNY - Lehman College

Audience: Researchers in the topic
Conference dates: 24-May-2021 to 28-May-2021
Organizer: Mel Nathanson*
*contact for this listing

This is the nineteenth in a series of annual workshops sponsored by the New York Number Theory Seminar on problems in combinatorial and additive number theory and related parts of mathematics.

Registration for the conference is free. Register at

The conference website is Lectures will be broadcast on Zoom. The Zoom login will be emailed daily to everyone who has registered on eventbrite. To join the meeting, you may need to download the free software from

The conference program, list of speakers, and abstracts are posted on the external website.

Upcoming talks
Past talks
Your timeSpeakerTitle
FriMay 2823:30Yaghoub RahimiEndpoint $\ell^p $ improving estimates for prime averages
FriMay 2823:00Brad IsaacsonThree imprimitive character sums
FriMay 2822:30Chi Hoi YipGauss sums and the maximum cliques in generalized Paley graphs of square order
FriMay 2822:00Shane ChernEuclidean billiard partitions
FriMay 2821:00Amanda FrancisSequences of integers related to resistance distance in structured graphs
FriMay 2820:30Mizan R. KhanTo count clean triangles we count on $imph$
FriMay 2820:00Danielle CoxA sequence arising from diffusion in graphs
FriMay 2819:30Joshua CooperUniform distribution and incidence theorems
FriMay 2818:30Alex IosevichUniform distribution and incidence theorems
FriMay 2818:00Krystian GajdzicaArithmetic properties of the restricted partition function p_A(n,k)
FriMay 2817:30Akshat MudgalAdditive energies on spheres
FriMay 2817:00Maciej UlasEqual values of certain partition functions via Diophantine equations
FriMay 2816:00George AndrewsSchmidt Type partitions and modular forms
FriMay 2815:30Ayesha HussainDistributions of Dirichlet character sums
FriMay 2815:00Tom SlatteryOn Fibonacci partitions
FriMay 2814:30Valerie BertheDynamics of Ostrowski's numeration: Limit laws and Hausdorff dimensions
FriMay 2814:00Karameh MuneerGeneralizations of B. Berggren and Price matrices
FriMay 2813:30Shalom EliahouOptimal bounds on the growth of iterated sumsets in abelian semigroups
FriMay 2813:00Louis-Pierre ArguinThe Fyodorov-Hiary-Keating conjecture
FriMay 2812:30Emma BaileyGeneralized moments and large deviations of random matrix polynomials and L-functions
FriMay 2812:00Paolo LeonettiOn Poissonian pair correlation sequences with few gaps
ThuMay 2723:30Kaylee WeatherspoonA description of edge-maximal separable unit distance graphs in the plane
ThuMay 2723:00Gabriela Araujo-PardoComplete colorings on circulant graphs and digraphs
ThuMay 2722:30Esther BanaianA generalization of Markov numbers
ThuMay 2722:00Ryan RonanAn asymptotic for the growth of Markoff-Hurwitz tuples
ThuMay 2721:00Anqi LiLocal properties of difference sets
ThuMay 2720:30Max Wenqiang XuDiscrepancy in modular arithmetic progressions
ThuMay 2720:00Karyn McLellanA problem on generating sets containing Fibonacci numbers
ThuMay 2719:30Thai Hoang LeBohr sets in sumsets
ThuMay 2718:30David GrynkiewiczCharacterizing infinite subsets of lattice points having finite-like behavior
ThuMay 2718:00Christian ElsholtzFermat's Last Theorem Implies Euclid's infinitude of primes
ThuMay 2717:30Mehdi MakhulThe Elekes-Szabo problem and the uniformity conjecture
ThuMay 2717:00Fatma KaraogluOn the number of lines of a smooth cubic surface
ThuMay 2716:00Jozsef BaloghOn the lower bound on Folkman cube
ThuMay 2715:30Paul BaginskiAbundant numbers, semigroup ideals, and nonunique factorization
ThuMay 2715:00Scott ChapmanWhen Is a Puiseux monoid atomic?
ThuMay 2714:30Yifan JingMinimal and nearly minimal measure expansions in connected locally compact groups
ThuMay 2713:30Oriol SerraTriangulations and the Brunn--Minkowski inequality
ThuMay 2713:00Qinghai ZhongOn product-one sequences over subsets of groups
ThuMay 2712:30Norbert HegyvariCommunication complexity, coding, and combinatorial number theory
ThuMay 2712:00Jinhui FangOn generalized perfect difference sumset
ThuMay 2711:30Javier PliegoUniform bounds in Waring's problem over diagonal forms
ThuMay 2700:00Ognian TrifonovExtreme covering systems of the integers
WedMay 2623:30Noah Lebowitz-LockardOn factorizations into distinct parts
WedMay 2623:00Brian McDonaldCycles of arbitrary length in distance graphs on $\mathbb{F}_q^d$
WedMay 2622:30Arthur Paul PedersenThe Hahn-H\" older theorem
WedMay 2622:00Geertrui Van de VoordeOn the product of elements with prescribed trace
WedMay 2621:00Steve MillerCompleteness of generalized Fibonacci sequences
WedMay 2620:30Richard MagnerClassifying partition regular polynomials in a nonlinear family
WedMay 2620:00Sinai RobinsThe null set of a of a polytope, and the Pompeiu property for polytopes
WedMay 2619:00Alex RiceTwo constructions related to well-known distance problems
WedMay 2618:30Paul PollackMultiplicative orders mod p
WedMay 2618:00Konstantin OlmezovOn additive energy of convex sets with higher concavity
WedMay 2617:30Zachary ChaseA random analogue of Gilbreath's conjecture
WedMay 2617:00Lajos HajduMultiplicative (in)decomposability of polynomial sequences
WedMay 2616:00Neil HindmanStrongly image partition regular matrices
WedMay 2615:30Sandor KissGeneralized Sidon sets of perfect powers
WedMay 2615:00Leonid FelGenera of numerical semigroups and polynomial identities for degrees of syzygies
WedMay 2614:30Pooja PunyaniOn characterizing small changes in the Frobenius number
WedMay 2614:00Emmanuel KowalskiSome families of Sidon sets arising in algebraic geometry
WedMay 2613:30Harald Andres HelfgottExpansion, divisibility and parity
WedMay 2613:00Oliver Roche-NewtonThe Elekes-Szabo Theorem and sum-product estimates for sparse graphs
WedMay 2612:30Carlo SannaAdditive bases and Niven numbers
WedMay 2612:00Sean EberhardThe apparent structure of dense Sidon sets
WedMay 2611:30Bhuwanesh Rao PatilMultiplicative patterns in syndetic sets
WedMay 2600:00Olivine SilierStructural Szemeredi-Trotter theorem for lattices
TueMay 2523:30Robert DonleyVandermonde convolution for ranked posets
TueMay 2523:00Russell Jay HendelSums of squares: Methods for proving identity families
TueMay 2522:30Robert Dougherty-BlissMore irrationally good approximations from Beukers integrals
TueMay 2522:00James SellersSequentially congruent partitions and partitions into squares
TueMay 2521:00Daniel G. GlasscockSums and intersections of multiplicatively invariant sets in the integers
TueMay 2520:30Jianping PanTableaux and polynomial expansions
TueMay 2520:00Souktik RoyGeneralized sums and products
TueMay 2519:30Robert VaughanOn generating functions in additive number theory
TueMay 2518:30Lan NguyenOn the existence of bi-Lipschitz equivalences and quasi-isometries between arithmetic metric spaces with word metrics and the local-global principle
TueMay 2518:00James WheelerIncidence theorems for modular hyperbolae in positive characteristic
TueMay 2517:30Michael CurranSumset structure, size, and Ehrhart theory
TueMay 2517:00Aliaksei SemchankauA new bound for A(A + A) for large sets
TueMay 2516:00Yuri TschinkelArithmetic properties of equivariant birational types
TueMay 2515:30Anne de RotonCritical sets with small sumset in R
TueMay 2515:00George ShakanA large gap in a dilate of a set
TueMay 2514:30I. D. ShkredovOn an application of higher energies to Sidon sets
TueMay 2513:30Imre Z. RuzsaAdditive decomposition of square-free numbers
TueMay 2513:00Jorg BrudernExpander estimates for cubes
TueMay 2512:30Arturas DubickasOn polynomial Sidon sequences
TueMay 2512:00Audie WarrenAdditive and multiplicative Sidon sets
MonMay 2423:30Tim TrudgianTwenty-four carats of Goldbach oscillations
MonMay 2423:00Catherine YanVector parking functions with rational boundary
MonMay 2422:30Kare Schou GjaldbaekClassification of quadratic packing polynomials on sectors of $\mathbb{R}^2$
MonMay 2422:00Steve SengerUpper and lower bounds on chains determined by angles
MonMay 2421:00Jeffrey LagariasPartial factorizations of a generalized product of binomial coefficients
MonMay 2420:30Robert HoughSubconvexity of the Shintani zeta functions
MonMay 2420:00Noah KravitzInverse problems for minimal complements
MonMay 2419:30Wolfgang SchmidSequences of sets over finite abelian groups and weighted zero-sum sequences
MonMay 2418:30Trevor Dion WooleyRudin, polynomials, and nested efficient congruencing
MonMay 2418:00Oleksiy KlurmanOn the ``variants" of the Erdos discrepancy problem
MonMay 2417:30Mikhail GabdullinSets whose differences avoid squares modulo m
MonMay 2417:00Aled WalkerEffective results on the size and structure of sumsets
MonMay 2416:00Zoltan FurediAn upper bound on the size of Sidon sets
MonMay 2415:30Sophie StevensOn sumsets of convex functions
MonMay 2415:00Misha RudnevOn distinct values of bilinear forms, cross-ratios, etc.
MonMay 2414:30Mel NathansonSidon systems for linear forms and the Bose-Chowla argument
MonMay 2413:30Sergei KonyaginGaps between totients
MonMay 2413:00Peter BradshawEnergy bounds for k-fold sums in very convex sets
MonMay 2412:30Peter Pal PachSum-full sets are not zero-sum-free
MonMay 2412:00Sean PrendivilleExtremal Sidon sets are Fourier uniform, with arithmetic applications
FriJun 0520:30Alex IosevichOn discrete and continuous variants of the distance graph
FriJun 0520:00Dylan KingDistribution of missing sums in correlated sumsets
FriJun 0519:30Noah LuntzlaraSets arising as minimal additive complements in the integers
FriJun 0519:00Gabriel ConantSmall tripling with forbidden bipartite configurations
FriJun 0518:30Jing-Jing HuangDiophantine approximation on affine subspaces
FriJun 0518:00James SellersGarden of Eden partitions for Bulgarian and Austrian solitaire
FriJun 0517:30Brian HopkinsRestricted multicompositions
FriJun 0517:00Harald HelfgottOptimality of the logarithmic upper-bound sieve, with explicit estimates
FriJun 0516:00Fei PengDistribution of missing differences in diffsets
FriJun 0515:30Giorgis PetridisA question of Bukh on sums of dilates
FriJun 0515:00Christian ElsholtzSums of unit fractions
FriJun 0514:30Arie BialostockiZero-sum Ramsey theory: Origins, present, and future
FriJun 0514:00Shalom EliahouSome recent results on Wilf's conjecture
FriJun 0513:30Sukumar Das AdhikariWeighted generalization of a theorem of Gao
FriJun 0513:00Yonutz V. StanchescuStructural results for small doubling sets in 3-dimensional Euclidean space
ThuJun 0420:30Javier SantiagoOn permutation binomials of index $q^{e-1}+q^{e-2}+\cdots+1$
ThuJun 0420:00Chi Hoi YipOn the clique number of Paley graphs of prime power order
ThuJun 0419:30Ethan WhiteDirections in $AG(2,p)$ and the clique number of Paley graphs
ThuJun 0419:00Sandra Kingan$H$-critical graphs
ThuJun 0418:30Robert W. Donley, Jr.Semi-magic matrices for dihedral groups
ThuJun 0418:00Neil HindmanTensor products in $\beta({\mathbb N}\times{\mathbb N})$
ThuJun 0417:30Daniel GlasscockUniformity in the dimension of sumsets of $p$- and $q$-invariant sets, with applications in the integers
ThuJun 0417:00Renling JinSzemeredi's theorem, nonstandardized and simplified
ThuJun 0416:00Akshat MudgalArithmetic combinatorics on Vinogradov systems
ThuJun 0415:30Trevor WooleyCondensation and densification for sets of large diameter
ThuJun 0415:00Sophie StevensAn update on the sum-product problem
ThuJun 0414:30Senia SheydvassarA twisted Euclidean algorithm
ThuJun 0414:00Oliver Roche-NewtonHigher convexity and iterated sum sets
ThuJun 0413:30Sandor KissSidon sets and bases
ThuJun 0413:00Florian LucaPrime factors of the Ramanujan $\tau$-function
WedJun 0320:30Josiah SugarmanOn the spectrum of the Conway-Radin operator
WedJun 0320:00Wladimir PribitkinRecounting partitions in memory of Freeman Dyson
WedJun 0319:30Hamed MousaviA class of sums with unexpectedly high cancellation
WedJun 0319:00Michael FilasetaTwo excursions in digitally delicate primes
WedJun 0318:30Kevin O'BryantRigorous proofs of stupid inequalities
WedJun 0318:00Nathan McNewPrimitive sets in function fields
WedJun 0317:30Jared Duker LichtmanThe Erdos primitive set conjecture
WedJun 0317:00Carl PomeranceSymmetric primes
WedJun 0315:30Jakub KoniecznyAutomatic multiplicative sequences
WedJun 0315:00Amanda MontejanoZero-sum squares in bounded discrepancy $\{-1,1\}$-matrices
WedJun 0314:30Bhuwanesh Rao PatilGeometric progressions in syndetic sets
WedJun 0314:00Oriol SerraExtremal sets for Freiman's theorem
WedJun 0313:30Angel KumchevBounds for discrete maximal functions of codimension 3
WedJun 0313:00Yong-Gao ChenOn a problem of Erdos, Nathanson and Sarkozy
TueJun 0220:30Brad IsaacsonFormulas for some exponential and trigonometric character sums
TueJun 0220:00Huixi LiOn the connection between the Goldbach conjecture and the Elliott-Halberstam conjecture
TueJun 0219:30Ariane MasudaRedei permutations with cycles of length $1$ and $p$
TueJun 0219:00William KeithPart-frequency matrices of partitions: New developments and related bijections
TueJun 0218:30Pablo SoberonThe topological Tverberg problem beyond prime powers
TueJun 0218:00I.D. ShkredovGrowth in Chevalley groups and some applications
TueJun 0217:30George ShakanAn analytic approach to the cardinality of sumsets
TueJun 0217:00Norbert HegyvariHilbert cubes meet arithmetic sets
TueJun 0215:30George E. AndrewsSeparable integer partition (SIP) classes
TueJun 0215:00Leonid FelA sum of negative degrees of the gaps values in two-generated numerical semigroups and identities for the Hurwitz zeta function
TueJun 0214:30Lajos HajduSkolem's conjecture for a family of exponential equations
TueJun 0214:00Gautami BhowmikNon-vanishing of products of $L$-functions
TueJun 0213:30Kare GjaldbaekNoninjectivity of nonzero discriminant polynomials and applications to packing polynomials
TueJun 0213:00Paolo LeonettiOn the density of sumsets
MonJun 0120:30Jeffrey C. LagariasPartial factorizations of products of binomial coefficients
MonJun 0120:00Steve SengerPoint configurations determined by dot products
MonJun 0119:30Wolfgang SchmidPlus-minus weighted zero-sum sequences and applications to factorizations of norms of quadratic integers
MonJun 0119:00Michael BennettDifferences between perfect powers
MonJun 0118:30Theresa C. AndersonHow numbers interact with curves
MonJun 0118:00Alex CohenA Sylvester-Gallai result in the complex plane
MonJun 0117:30Thai Hoang LeAdditive bases in infinite abelian semigroups, II
MonJun 0117:00Pierre-Yves BienvenuAdditive bases in infinite abelian semigroups, I
MonJun 0116:00Michael CurranEhrhart theory and an explicit version of Khovanskii's theorem
MonJun 0115:30Arindam BiswasOn minimal complements and co-minimal pairs in groups
MonJun 0115:00Alfred GeroldingerZero-sum sequences over finite abelian groups and their sets of lengths
MonJun 0114:30Aled WalkerA tight structure theorem for sumsets
MonJun 0114:00Peter Pal PachCounting subsets avoiding certain multiplicative configurations
MonJun 0113:30Mel NathansonFundamental theorems in additive number theory
MonJun 0113:00Robert HoughThe 15 puzzle problem
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