Algebra/Number Theory Seminar | Seminars | University of Mississippi
 

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2023

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A Generalization of the Grunwald-Wang Theorem, Bhawesh Mishra

The Shintani–Faddeev modular cocycle, Gene Kopp

Gaps between zeros of zeta and L-functions of high degree, Jaime Hernandez-Palacios

A new approach to zero-free regions, Jesse Thorner

The Least Quadratic Nonresidue and the Least Prime in an Arithmetic Progression through Fourier Optimization, Antonio Pedro Ramos

Squarefrees (and B-frees) in short intervals, Brad Rogers

Continuity and value distribution of quantum modular forms, Sandro Bettin

Moments of the Hurwitz zeta function on the critical line, Anurag Sahay

A problem of Erdős-Graham-Granville-Selfridge on integral points on hyperelliptic curves, Kyle Pratt

Polyharmonic Maass forms and Hecke series for real quadratic fields, Olivia Beckwith

2022

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Subconvexity for Twisted L-Functions on GL(3) × GL(2) and GL(3), Soumendra Ganguly

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Distribution of Values of Logarithmic Derivatives of L-Functions, Alia Hamieh

Bias in cubic Gauss sums: Patterson’s conjecture, Alex Dunn

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Generalized Arithmetic Progressions and Diophantine Approximation by Polynomials, Alex Rice

Sums of sets of abelian group elements, Chao Liu

2020

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Partitions into Powers of Primes, Ayla Gafni

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Sign Uncertainty, Felipe Goncalves

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Quantum Variance for Dihedral Maass Forms, Steve Lester

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Arithmetic Progressions in Dense Sets of Integers, Thomas Bloom

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Periodicities for Taylor Coefficients of Half-Integral Weight Modular Forms, Larry Rolen

2019

The History of the Circle Method, Ayla Gafni

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The Divisor Function in Arithmetic Progressions, Rizwanur Khan

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Subspaces in Difference Sets and Möbius Randomness, Thái Hoàng Lê

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The Distribution of the Zeros of the Riemann Zeta-Function, Micah Milinovich

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Essential Components in ��ₚ[t], Zhenchao Ge

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On the Congruence Equation a + b ≡ c (mod p), Tsz Ho Chan

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Distribution of mass of automorphic forms, Rizwanur Khan

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Cohomology annihilators and Jacobian ideals, Ryo Takahashi

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New Results on Polynomials in Difference Sets, Alex Rice

2018

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Bounding Sₙ(t) on the Riemann Hypothesis, Andres Chirre Chavez

2017

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Semidualizing modules give a defective Gorenstein defect, Sean Sather-Wagstaff

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Nilsequences and multiple correlations along primes with application to Chowla conjecture, Anh Lê

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On the diameter of dual graphs of Stanley-Reisner rings with Serre (S2) property and Hirsch type bounds on abstractions of polytopes, Brent Homes

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A survey of the polynomial method in arithmetic combinatorics, Pierre-Yves Bienvenu

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Explicit results in prime number theory, Habiba Kadiri

2014

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Zeros of modular forms and quantum unique ergodicity, Steve Lester

Hilbert spaces and the pair correlation of zeros of the Riemann zeta-function, Emanuel Carneiro

Limit points of the sequence of normalized prime gaps, Tristan Freiberg

Making imprimitive Dirichlet characters behave primitively, Ryan Daleida

Probability and elliptic curves (I, II and III), Nathan Jones

2013

An Overview of Factorization: Algebraic and Graphical, Jim Coykendall

2010

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A Look at the Modular Hyperbola, Tsz Ho Chan

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Finding and calculating L-functions, David Farmer

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Subconvexity bounds for L-functions, Stephan Baier

2009

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The Riemann Hypothesis…, Micah Milinovich

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Sums of two Squares and Almost Squares, Tsz Ho Chan

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Maximal Class Numbers of CM Number Fields, Ryan Daleida

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Zeros of the Riemann zeta function: computations and implications, Andrew Odlyzko

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Gaps between consecutive zeros of the Riemann zeta-function, Hung Manh Bui

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Integer Matrix Exact Covering Systems and Product Identities for Theta Functions, Zhu Cao

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Closure Operations on Ideals in Commutative Rings, Neil Epstein

2008

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A new proof of Winquist’s Identity, Zhu Cao

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A Proof of Lagrange’s Four-Square Theorem, Zhu Cao

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Distribution of the Prime Numbers, Micah Milinovich