19 citations · 38 across the 10 of their papers we have counts for
12 papers
Bounding Lifts of Markoff Triples mod
Elisa Bellah, Siran Chen, Elena Fuchs +1
In 2016, Bourgain, Gamburd, and Sarnak proved that Strong Approximation holds for the Markoff surface in most cases. That is, the modulo solutions to the equation $X_1^2+X_2^2+…
A modular proof of the properness of the Coleman-Mazur eigencurve
Lynnelle Ye
We give a new proof of the properness of the Coleman-Mazur eigencurve. The question of whether the eigencurve satisfies the valuative criterion for properness was first asked by Co…
Slopes in eigenvarieties for definite unitary groups
Lynnelle Ye
We generalize bounds of Liu-Wan-Xiao for slopes in eigencurves for definite unitary groups of rank to slopes in eigenvarieties for definite unitary groups of any rank. We show…
Extensions of Vector Bundles on the Fargues-Fontaine Curve
Christopher Birkbeck, Tony Feng, David Hansen +4
We completely classify the possible extensions between semistable vector bundles on the Fargues-Fontaine curve (over an algebraically closed perfectoid field), in terms of a simple…
An explicit approach to the Ahlgren-Ono conjecture
Geoffrey D. Smith, Lynnelle Ye
Let be the partition function. Ahlgren and Ono conjectured that every arithmetic progression contains infinitely many integers for which is not congruent to $0\pm…
Congruences of concave composition functions
Keenan Monks, Lynnelle Ye
Concave compositions are ordered partitions whose parts are decreasing towards a central part. We study the distribution modulo of the number of concave compositions. Let $c(n)…
Congruence properties of Borcherds product exponents
Keenan Monks, Sarah Peluse, Lynnelle Ye
In his striking 1995 paper, Borcherds found an infinite product expansion for certain modular forms with CM divisors. In particular, this applies to the Hilbert class polynomial of…
Strings of special primes in arithmetic progressions
Keenan Monks, Sarah Peluse, Lynnelle Ye
The Green-Tao Theorem, one of the most celebrated theorems in modern number theory, states that there exist arbitrarily long arithmetic progressions of prime numbers. In a related…
Benford's Law for Coefficients of Newforms
Marie Jameson, Jesse Thorner, Lynnelle Ye
Let be a normalized Hecke eigenform of even weight on without complex multiplication. Let $\math…
Bounding sums of the Möbius function over arithmetic progressions
Lynnelle Ye
Let where is the Möbius function. It is well-known that the Riemann Hypothesis is equivalent to the assertion that for all $ε>…
The Proportion of Weierstrass Semigroups
Nathan Kaplan, Lynnelle Ye
We solve a problem of Komeda concerning the proportion of numerical semigroups which do not satisfy Buchweitz' necessary criterion for a semigroup to occur as the Weierstrass semig…
Chomp on Graphs and Subsets
Tirasan Khandhawit, Lynnelle Ye
The game subset take-away begins with a simplicial complex Δ. Two players take turns removing any element of Δas well as all other elements which contain it, and the last player ab…