MixedMath: Blog

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2025-07-07 - Slides from a talk at LuCaNT
2025-06-30 - Writing a README for research code
2025-06-03 - Normalizations of murmurations
2025-05-30 - Adding Knowls to this site
2025-05-23 - Distinguishing sets of elliptic curve coefficients
2025-04-23 - Slides from a talk at PANTS
2025-04-11 - Learning Möbius from Inconvenient Integer Representations
2025-03-13 - Random numbers in flint aren't random
2025-02-25 - MathShare
2025-02-19 - The Möbius function in python+CPP: basic ctypes
2025-02-05 - My version of arxiv_to_bibtex
2025-01-15 - Slides from a talk at the last Simons Annual Meeting
2024-12-30 - An (updated) brief note on cryptography
2024-12-18 - Paper: The Fibonacci Zeta Function and Continuation
2024-12-04 - Odd Fibonacci Zeta Function
2024-11-19 - Slides from a talk at LSU on Murmuration phenoma in number theory
2024-11-13 - Slides from a talk at the Simons Center for Geometry and Physics on Murmurations and trace formulas
2024-10-29 - Slides from a talk at Harvard on Machine Learning and the Möbius Function
2024-10-19 - Technical report on machine learning experiments for the Möbius function
2024-10-19 - General report on machine learning experiments for the Möbius function
2024-10-18 - Numerically computing Petersson inner products and $L$-function residues
2024-10-18 - code4math research community: call for contributors
2024-09-27 - Fourier expansions at different cusps
2024-09-20 - Explicit equations for cubic surfaces
2024-09-10 - Hecke Algebra details
2024-07-24 - A note on sums over primes
2024-06-05 - Maass forms in the LMFDB
2024-04-15 - Another year, another TeXLive reinstallation
2024-03-30 - FLT3 at LftCM2024
2024-03-05 - Quanta on Murmurations
2024-02-21 - Not quite 3 and a half years
2024-02-13 - Examining Excess in the Schmidt Bound
2024-01-16 - Bounds on partial sums from functional equations
2023-11-15 - Paper: Towards a Classification of Isolated $j$-invariants
2023-11-14 - Paper: Congruent number triangles with the same hypotenuse
2023-11-13 - Bringing back the blogroll
2023-10-21 - Paper: Murmurations of modular forms in the weight aspect
2023-07-19 - Murmurations in Maass forms
2023-02-23 - Slides from a talk at Concordia University
2023-01-27 - Paper: Sums of cusp forms coefficients along quadratic sequences
2023-01-01 - On Mathstodon
2022-12-07 - Implementation notes on modular curve visualizations
2022-12-02 - Slides on Maass forms, nearing completion
2022-11-09 - Slides on Modular Forms and the L-functions, a talk at the Simons Center for Geometry and Physics
2022-11-03 - Supplement to Langlands survey
2022-11-02 - Notes from a survey talk by Jeff Lagarias on the Collatz problem
2022-10-17 - Paul R. Halmos -- Lester R. Ford Award
2022-10-15 - Slides from a talk at Maine-Quebec
2022-07-22 - Initial thoughts on visualizing number fields
2022-07-20 - Computing coset representatives for quotients of congruence subgroups
2022-07-09 - Note Series on Zeros of General Dirichlet Series
2022-07-08 - Zeros of Dirichlet Series IV
2022-07-07 - Zeros of Dirichlet Series III
2022-06-01 - Visualizations for Quanta's 'What is the Langlands Program?'
2022-05-09 - Slides from a talk on Improved Bounds for Number Fields
2022-04-30 - Simplified proofs and reasoning in "Improved Bounds on Number Fields of Small Degree"
2022-04-28 - Paper: Counting number fields of small degree
2022-04-02 - Comments on this site
2022-03-28 - Plaintext Email
2022-03-24 - Slides from a talk: Computing and verifying Maass forms
2022-03-23 - Slides from a talk: How computation and experimentation inform research
2022-02-11 - colormapplot - like phasematplot, but with colormaps
2022-01-24 - Zeros of Dirichlet Series II
2022-01-20 - Zeros of Dirichlet Series
2021-12-07 - On van der Waerden's Conjecture
2021-11-06 - Slides from a talk on Quantitative Hilbert Irreducibility
2021-10-30 - Project Report on "Prime Sums"
2021-10-02 - Slides from a talk at Maine-Québec
2021-08-02 - Slides from a talk at Bridges 2021
2021-07-09 - Paper: Quantitative HIT and Almost Prime Polynomial Discriminants
2021-05-18 - Slides from a talk on Visualizing Modular Forms
2021-04-13 - Trace form 3.32.a.a
2021-03-22 - Slides from a talk on Half Integral Weight Dirichlet Series
2021-03-01 - Setting up a Wacom Intuos CTL-4100 drawing tablet on Ubuntu 20.04 LTS
2021-03-08 - A balancing act in "Uniform bounds for lattice point counting"
2021-02-17 - Slides from a talk at AIM
2021-02-10 - Slides from a talk on computing Maass forms
2020-12-04 - Long live opalstack!
2020-12-04 - Talk on computing Maass forms
2020-08-19 - The current cover art for the Proceedings of the Royal Society
2020-08-07 - phase_mag_plot: a sage package for plotting complex functions
2020-06-01 - Notes from a talk at Dartmouth on the Fibonacci zeta function
2020-05-13 - Pictures of equidistribution - the line
2020-05-05 - Points on $X^2 + Y^2 = 2$ equidistribute with respect to height
2019-12-06 - Proposal for new images for modular forms on the LMFDB
2019-11-22 - Notes behind a talk: visualizing modular forms
2019-11-05 - Making Plots of Modular Forms
2019-10-18 - Non-real poles and irregularity of distribution I
2019-10-05 - Notes from a talk at the Maine-Quebec Number Theory Conference
2019-07-05 - The Insidiousness of Mathematics
2019-06-28 - Another proof of Taylor's Theorem
2019-06-12 - Email configuration for mutt on a webfaction server
2019-06-05 - Choosing functions and generating figures for "When are there continuous choices for the mean value abscissa?"
2019-06-04 - Paper: When are there continuous choices for the Mean Value Abscissa?
2019-04-03 - How do we decide how many representatives there are for each state?
2019-03-28 - African clawed frog
2019-02-25 - Notes from a talk: Finding Congruent Numbers, Arithmetic Progressions of Squares, and Triangles
2019-02-22 - Writing a Python Script to be Used in Vim
2019-01-18 - Slides for a talk at JMM 2019
2018-12-07 - Update to Second Moments in the Generalized Gauss Circle Problem
2018-11-10 - The wrong way to compute a sum: addendum
2018-11-02 - The wrong way to compute a sum
2018-10-09 - Using lcalc to compute half-integral weight L-functions
2018-09-14 - Extra comparisons in Python's timsort
2018-09-06 - Speed talks should be at every conference
2018-07-28 - A bookmarklet to inject colorblind friendly CSS into Travis CI
2018-07-28 - Seeing color shouldn't feel like a superpower
2018-07-18 - Notes from a Talk at Building Bridges 4
2018-05-11 - Splitting Easy MathSE Questions into a New NoviceMathSE Is a Bad Idea
2018-05-01 - Ghosts of Forums Past
2018-04-24 - Challenges facing community cohesion (and Math.StackExchange in particular)
2018-04-13 - Paper: A Shifted Sum for the Congruent Number Problem
2018-04-09 - Cracking Codes with Python: A Book Review
2018-03-21 - Notes from a talk at Tufts, Automorphic Forms Workshop
2018-03-04 - Hosting a Flask App on WebFaction on a Non-root Domain
2018-02-03 - Segregation, Gerrymandering, and Schelling's Model
2018-01-24 - The Hawaiian Missile Crisis
2018-01-10 - Slides from a talk at the Joint Math Meetings 2018
2018-01-04 - We begin bombing Korea in five minutes: Parallels to Reagan in 1984
2017-11-02 - A Jupyter Notebook from a SageMath tutorial
2017-10-07 - Having no internet for four half weeks isn't necessarily all bad
2017-09-22 - A Short Note on Gaps Between Powers of Consecutive Primes
2017-07-20 - Sage Days 87 Demo: Interfacing between sage and the LMFDB
2017-05-26 - Paper: Second moments in the generalized Gauss circle problem
2017-05-21 - How fat would we have to get to balance carbon emissions?
2017-04-21 - Slides from a Dissertation Defense
2017-04-11 - pstricks
2017-04-11 - Experimenting with latex2html5: PSTricks to HTML interactivity
2017-03-29 - Slides from a Talk at the Dartmouth Number Theory Seminar
2017-03-11 - Smooth Sums to Sharp Sums
2017-01-21 - About 2017
2017-01-07 - Revealing zero in fully homomorphic encryption is a Bad Thing
2016-12-21 - Math 100 - Concluding Remarks
2016-12-04 - Computing pi with tools from calculus
2016-10-25 - Series convergence tests with prototypical examples
2016-10-04 - A notebook preparing for a talk at Quebec-Maine
2016-09-29 - Math 100 - Completing the partial fractions example from class
2016-08-12 - Paper: On Functions Whose Mean Value Abscissas are Midpoints, with Connections to Harmonic Functions (with Paul Carter)
2016-06-03 - Paper: Sign Changes of Coefficients and Sums of Coefficients of Cusp Forms
2016-05-25 - Math 42 Spring 2016 Student Showcase
2016-05-20 - Math 42 - Concluding Remarks
2011-04-13 - Math 420 - Supplement on Gaussian integers II
2016-04-10 - Math 420 - Supplement on Gaussian integers
2016-03-22 - A brief notebook on cryptography
2016-03-12 - Motivating a change of variables in $\int \log x / (x^2 + ax + b) dx$
2016-02-04 - Math 420 - Second Week
2016-01-28 - Math 420 - First week homework and references
2016-01-02 - Paper: Short-integral averages of sums of Fourier coefficients of Cusp Forms
2015-12-04 - Paper: The second moments of sums of Fourier coefficients of cusp forms
2015-06-13 - Estimating the number of squarefree integers up to $X$
2015-05-10 - Some statistics on the growth of Math.SE
2014-11-20 - One integral served two ways
2014-11-12 - The gamma function, beta function, and duplication formula
2014-11-05 - Notes from a talk - On the Mean Value Theorem
2014-10-29 - Three Conundrums on Infinity
2014-10-22 - Continuity of the Mean Value Abscissa
2014-10-14 - Review of How Not to be Wrong by Jordan Ellenberg
2014-10-07 - Another proof of Wilson's Theorem
2014-09-29 - Trigonometric and related substitutions in integrals
2014-09-22 - A bit more about partial fraction decomposition
2011-04-08 - On least squares - a question from reddit
2014-11-16 - Friendly introduction to sieves with a look towards recent progress
2013-12-30 - Math 100 - Concluding Remarks
2013-12-12 - On the identity $1 + 2 + \ldots = -1/12$
2013-11-16 - An intuitive overview of Taylor series
2013-11-11 - Understanding $\int_{-\infty}^\infty \frac{\mathrm{d}t}{(1 + t^2)^n}$
2013-11-07 - Math 100 - before second midterm
2013-09-28 - Math 100 - Week 4
2013-09-24 - Math 199 - Week 3 and pre-midterm
2013-09-10 - Happy Birthday to the Science Guy
2013-09-07 - An intuitive introduction to calculus
2013-08-02 - Twenty Mathematicians, Two Hard Problems, One Week, IdeaLab2013
2013-07-09 - Chinese Remainder Theorem -SummerNT
2013-07-01 - Notes on the first week - SummerNT
2013-06-24 - A proof from the first sheet - SummerNT
2013-05-21 - Recent developments in twin primes, Goldbach, and Open Access
2013-04-24 - Calculations with a Gauss-type sum
2013-02-08 - Hurwitz zeta is a sum of Dirichlet $L$-functions, and vice-versa
2013-01-18 - Math journals and the fight over open access
2013-02-16 - A Book Review of Count Down - The race for beautiful solutions at the IMO
2013-01-12 - Are the calculus MOOCs any good - after week 1
2013-01-08 - Are the calculus MOOCs any good?
2012-12-30 - Math 90 - Concluding Remarks
2012-11-18 - Math 90 - Week 11
2012-11-07 - Math 90 - Week 9
2012-11-08 - An application of Mobius inversion to certain Asymptotics
2012-10-24 - Math 90 - Week 8 Quiz
2012-10-24 - Math 90 - Week 8
2012-10-17 - Math 90 - Week 7
2012-10-03 - Math 90 - Week 5
2012-09-28 - Math 90 - Week 4
2012-09-19 - Math 90 - Week 3
2012-09-11 - Math 90 - Week 2
2012-09-04 - Math 90 - Week 1
2012-08-24 - The danger of confusing cosets and numbers
2012-08-23 - An elementary proof of when 2 is a quadratic residue
2012-08-11 - Dancing ones PhD
2012-08-09 - Precalculus Supplement - Synthetic Division
2012-06-21 - A MSE collection - topology book references
2012-06-11 - A MSE Collection - a list of integrals
2012-06-15 - Three number theory bits - One elementary, the 3-Goldbach, and ABC
2012-04-26 - A pigeon for every hole, and then one (sort of)
2012-04-16 - From the exchange - is it unheard of to like math but hate proofs?
2011-12-24 - Education Musings
2011-12-10 - Tiontobl - a combinatorial game
2011-12-06 - Mapping class groups summary
2011-12-02 - Ghostwritten Word
2011-11-24 - Points under a parabola
2011-11-21 - Two short problems
2011-10-23 - A new toy problem
2011-10-22 - Reading Math
2011-09-21 - A month, you say?
2011-08-07 - Fermat Factorization II
2011-07-28 - From the Exchange
2011-07-26 - Factoring III
2011-07-25 - Prime rich and prime poor
2011-07-25 - Factoring II
2011-07-23 - Giving Journals
2011-06-06 - The Collatz Conjecture - recent development?
2011-05-27 - Visiting Gaussian Quadrature
2011-05-24 - Daily Math in Zagreb
2011-05-12 - Integration by Parts
2011-04-20 - Khan an effective supplement, a survey
2011-04-20 - Towards an expression for pi
2011-05-27 - Factoring I
2011-04-14 - 2401 - Additional examples for test 3
2011-04-13 - Slow factoring algorithm II
2011-04-08 - Blue Eyes and Brown Eyes
2011-04-07 - An even later pi day post
2011-04-07 - An interesting (slow) factoring algorithm
2011-03-31 - Perfect Partitions II
2011-03-28 - Perfect Partitions
2011-03-27 - About 3 weeks behind silly hype
2011-03-26 - A lite pi day post
2011-03-29 - A bag's journey in search of its owner
2011-03-24 - Containers of Water II
2011-03-23 - 2401 - Missing recitation
2011-03-22 - Containers of Water - maybe an interesting question
2011-04-08 - Test Solution
2011-03-20 - Pizza
2011-03-20 - Fun limit
2011-03-20 - Math - dealing with sin (and cos) every day

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