Number Theory Seminar - Advanced Topics in Arithmetic Geometry and L-Functions

Simultaneous Non-Vanishing of L-Functions at the Central Point - Alexandra Florea
On Triple Product L-Functions - Miao Gu
Motivic Action Conjecture for Doi-Naganuma Lifts - Yingkun Li
Shioda’s Conjecture on Unirationality - Ben Church
On Uniform Boundedness of Torsion Points for Abelian Varieties Over Function Fields - Jit Wu Yap
On the Arithmetic of Genus 4 Curves - Jiahui Gao
Arithmetic Applications of Random Multiplicative Functions - Max Wenqiang Xu
On the Geometry and Arithmetic of Non-Spherical Maass Forms - Djordje Milicevic
There Are Infinitely Many Elliptic Curves Over the Rationals of Rank 2 - David Zywina
Algebraic Integers of Bounded Height and Given Galois Group - Andy O’Desky
Polyhedra, Hyperbolic 3-Manifolds, and Arithmetic - Alex Kontorovich
Algebraicity of Spin L-functions for GSp_6 - Ellen Eischen
Hilbert's 10th Problem Over Rings of Integers - Ari Shnidman
Inductive Methods for Counting Number Fields - Brandon Alberts
Local-Global Principles and Effective Rates of Equidistribution For Semisimple Or...- Andreas Wieser
Bass Note Spectra of Binary Forms - Giorgos Kotsovolis
First Explicit Reciprocity Law for Unitary Friedberg—Jacquet PeriodsMurilo Zanarella
Non-escape of Mass for Arithmetic Quantum Limits on Hyperbolic 4-Manifolds - Alexandre de Faveri
Second Moment of the GL_3 Standard L-function on the Critical LineMatthew Young
Derived Hecke Action For Weight One Modular Forms Via Classicality - Gyujin Oh
Zeta and Multizeta for Function Fields - Dinesh Thakur
The Not-So-Local-Global Conjecture - James Rickards
Vanishing of Selmer Groups for Siegel Modular Forms - Sam Mundy
On Eisenstein’s Jugendtraum for Complex Cubic Fields - Pierre Charollois
A Pair Correlation Surface Associated to the Zeros of the Riemann Zeta Function- Alexandru Zaharescu
The Shintani–Faddeev Modular Cocycle - Gene Kopp
Moments of Families of Quadratic L-Functions Over Function Fields Via Homotopy Theory - Dan Petersen
Modularity of Trianguline Galois Representations - Rebecca Bellovin
Symmetric Power Functoriality For Hilbert Modular Forms - Jack Thorne
Restricted Arithmetic Quantum Unique Ergodicity - Peter Humphries
Root Number Correlation Bias of Fourier Coefficients of Modular Forms - Nina Zubrilina
Subconvexity for L-functions on U(n) x U(n+1) - Simon Marshall
Applications of the Relative Trace Formula - Valentin Blomer
An Euler System for the Symmetric Square of a Modular Form - Chris Skinner
Counting Low Degree Number Fields with Almost Prescribed Successive Minima - Sameera Vemulapalli
Quadratic Twists of Modular L-Functions - Xiannan Li
Toward a Theory of Prime Detecting Sieves - Kevin Ford
Cohomological Automorphic Representations on Unitary Groups - Rahul Dalal
On the kernel of the non abelian Fourier transform - Ngo Bao Chau
A visit to 3-manifolds in the quest to understand random Galois groups - Melanie Matchett Wood
New Cohen-Lenstra heuristics by constructing measures from moments - Will Sawin
Arithmetic holonomy bounds and Apery limits - Vesselin Dimitrov
Branching laws: homological aspects - Dipendra Prasad
Modular forms of half-integral weight on exceptional groups
Galois groups of random integer polynomials - Manjul Bharğava
Non-vanishing of twists of GL(4) L-functions - Liyang Yang
The average size of 3-torsion in class groups of 2-extensions - Robert Lemke Oliver
Some Progress on Categorical Local Langlands - Linus Hamann
On the BSD conjecture for certain families of abelian varieties with ration...- Emmanuel Lecouturier
Arithmetic statistics and graded Lie algebras - Jef Laga
A Wiles-Diamond numerical criterion in higher dimensions -Chandrashekhar Khare
Local (\ell = p) Galois Deformation Rings - Ashwin Iyengar
Motivic action on coherent cohomology of Hilbert modular varieties - Aleksander Horawa
Abelian varieties not isogenous to Jacobians - Jacob Tsimerman
Conditional approaches to sums of cubes - Victor Wang
The unbounded denominators conjecture - Yunqing Tang
Monogenic fields with odd class number - Artane Jeremie Siad
Reducible fibers and monodromy of polynomial maps - Danny Neftin
Modularity and Heights of CM cycles on Kuga-Sato varieties - Congling Qiu
Bounds for standard L-functions - Paul Nelson
Sums in progressions over F_q[T], the symmetric group, and geometryWill Sawin
A uniform Bogomolov type of theorem for curves over global fields - Xinyi Yuan
Character estimates for classical finite simple groups - Michael Larsen
Expansion and parity - Maksym Radziwill
Groups with bounded generation: old and new - Andrei S. Rapinchuk
André 2021 04 29On the canonical, fpqc and finite topologies: classical questions... - Yves André
Kolyvagin's conjecture and higher congruences of modular forms - Naomi Sweeting
Low moments of character sums - Adam Harper
Eisenstein series, p-adic deformations, Galois representations, and the group G_2 - Sam Mundy
The local Gan-Gross-Prasad conjecture for real unitary groups - Hang Xue
The Shafarevich Conjecture for Hypersurfaces in Abelian Varieties - Will Sawin
Some remarks on Landau--Siegel zeros - Alexandru Zaharescu
Monoidal Structures on GL(2)-Modules and Abstractly Automorphic Representations - Gal Dor
Selmer groups and a Cassels-Tate pairing for finite Galois modules - Alexander Smith
Exceptional jumps of Picard rank of K3 surfaces over number fields - Salim Tayou
Ramanujan Conjecture and the Density Hypothesis - Shai Evra
Ax-Lindemann-Weierstrass Theorem (ALW) for Fuchsian automorphic functions - Joel Nagloo
On the Liouville function at polynomial arguments - Joni Teräväinen
A unitary analogy of Friedberg-Jacquet and Guo-Jacquet periods and central values... - Jingwei Xiao
Strong approximation for the Markoff equation via nonabelian level structures...- William Chen
Effective height bounds for odd-degree totally real points on some curves - Levent Alpoge
On the locally analytic vectors of the completed cohomology of modular curves - Lue Pan
An explicit supercuspidal local Langlands correspondence - Tasho Kaletha
Representations of p-adic groups and applications - Jessica Fintzen
Heights and dynamics over arbitrary fields - Carney Alexander
An asymptotic version of the prime power conjecture for perfect difference sets - Sarah Peluse
New constraints on the Galois configurations of algebraic integers.. - Vesselin Dimitrov
Dynamical generalizations of the Prime Number Theorem and...disjointness of... -Florian Richter
Joint equidistribution of adelic torus orbits and families of twisted L-functions - Farrell Brumley
A geometric view on Iwasawa theory - Mladen Dimitrov
On triple product L functions - Jayce Robert Getz
Eulerianity of Fourier coefficients of automorphic forms - Henrik Gustafsson
Local-global compatibility in the crystalline case - Ana Caraiani
On the Kudla-Rapoport conjecture - Chao Li
Density conjecture for horizontal families of lattices in SL(2) - Mikolaj Fraczyk
A p-adic monodromy theorem for de Rham local systems - Koji Shimizu
Moduli spaces of shtukas over function fields - Jared Weinstein
Eisenstein series and the cubic moment for PGL(2) - Paul Nelson
Canonical integral models of Shimura varieties - George Pappas
A slice or two of a diagonal cubic: arithmetic stratification via the circle method - Trevor Wooley
Taking the Hecke algebra to its limits - Raphael Steiner
Singularities in reductions of Shimura varieties -Thomas Haines
How does the rank of an elliptic curve grow in towers of number fields? - Florian Sprung
Singular moduli for real quadratic fields - Jan Vonk
Local aspects of Venkatesh's thesis - Yiannis Sakellaridis
Singularities of Teichmueller harmonic map flow - Melanie Rupflin
Derived structures controlling representations - Carl Wang-Erickson
An Application of a Conjecture of Mazur-Tate to Supersingular Elliptic Curves - Emmanuel Lecouturier
Upper bounds for constant slope p-adic families of modular forms -John Bergdall
Slopes in eigenvarieties for definite unitary groups - Lynnelle Ye
The Lucky Logarithmic Derivative - Will Sawin
Irreducible components of affine Deligne-Lusztig varieties and orbital integrals - Rong Zhou
Explicit formulae for Stark Units and Hilbert's 12th problem - Samit Dasgupta
Towards a p-adic Deligne--Lusztig theory - Charlotte Chan
A converse to a theorem of Gross--Zagier, Kolyvagin and Rubin, II - Ashay Burungale
Algorithms for the topology of arithmetic groups and Hecke actions II - Michael Lipnowski
Non-spherical Poincaré series, cusp forms and L-functions for GL(3) - Jack Buttcane
Summation formulae and speculations on period integrals attached to triples... - Jayce Getz
The Weyl law for algebraic tori - Ian Petrow
On the long-term dynamics of nonlinear dispersive evolution equations - Wilhelm Schlag
Automorphy for coherent cohomology of Shimura varieties - Jun Su
Locally symmetric spaces: pp-adic aspects - Laurent Fargues
Shimura curves and new abc bounds -Hector Pasten
Joint equidistribution of CM points - Ilya Khayutin
On the notion of genus for division algebras and algebraic groups - Andrei Rapinchu
Nonlinear descent on moduli of local systems - Junho Peter Whang
A converse theorem of Gross-Zagier and Kolyvagin: CM case - Ye Tian
Elliptic curves of rank two and generalised Kato classes - Francesc Castella
2∞2∞-Selmer groups, 2∞2∞-class groups, and Goldfeld's conjecture - Alex Smith
Local Global Principles for Galois Cohomology - Julia Hartmann
The pp-curvature conjecture and monodromy about simple closed loops - Ananth Shankar
Congruences between motives and congruences between values of LL-functions - Olivier Fouquet
Basic loci of Shimura varieties - Xuhua He
Galois Representations for the general symplectic group - Arno Kret
On small sums of roots of unity - Philipp Habegger
The Hasse-Weil zeta functions of the intersection cohomology... - YihangZhu
Rational curves on elliptic surfaces - Douglas Ulmer
Standard conjecture of Künneth type with torsion coefficients - Junecue Suh
Low-lying, fundamental, reciprocal geodesics - Alex Kontorovich
Vanishing cycles and bilinear forms - Will Sawin
Cycles on the moduli of Shtukas and Taylor coefficients of L-functions - Zhang
Decoupling in harmonic analysis and the Vinogradov mean value theorem - Bourgain
Modularity and potential modularity theorems in the function field setting - Harris
Geometric deformations of orthogonal and symplectic Galois representations - Jeremy Booher
From local class field theory to the curve and vice versa - Laurent Fargues
Motivic cohomology actions and the geometry of eigenvarieties - David Hansen
Spectral summation formulae and their applications - Valentin Blomer