Episode 5 of “A Small Taste from My New Book” is out!
Explore the beauty of asymptotic analysis, Laplace integrals, and contour integration.
https://cortexdrifter.blogspot.com/2025/12/a-small-taste-from-my-new-book-episode-5.html
If you’re passionate about deep mathematical understanding, check out my books:
📘 The Riemann Hypothesis Revealed
📗 The Essential Transform Toolkit
Both are available on Amazon and written to make advanced concepts accessible and rigorous.
Let’s keep the conversation going, what’s your favorite contour trick?
#Mathematics #ComplexAnalysis #Laplace #Asymptotics #MathBooks #AcademicMastodon
A Small Taste from My New Book: Episode 5

  Welcome to Episode 5 of A Small Taste from My New Book . In this episode, we turn our attention to the fascinating world of asymptotic ana...

A month to go

I’ve been a bit preoccupied these recent weeks so it was with a shock that I realised that we’re into Week 9, which means just four weeks (including this one) until the end of term and just a month before Christmas. Teaching finishes here in Maynooth on Friday 19th December, but I don’t have any lectures on Fridays so in my case it will finish the day before (with a tutorial). I don’t know how many students will be there, but the module concerned is my 4th year Mathematical Physics module and the students are very hard-working, so I think most will attend. After such a busy term I’m sure that they will need a break as much as I will.

I had to rejig the schedule for both modules I am teaching this semester to accommodate the introduction of in-class tests to replace take-home assignments (for reasons I outlined here). I’ve also been handing out voluntary exercises for practice, not counting towards the module mark but for formative reasons. Both modules are mathematical in nature, and I think the best way to learn mathematics is by doing it…

Despite the changes with respect to last year, I am still roughly on track. In my Engineering Mathematics module I’ve just finished Laplace transforms, and will start Fourier methods tomorrow. With the mathematical physicists, I am in the middle of complex analysis, having done complex differentiation and conformal mappings and starting complex integration next week.

I still have a couple more class tests to get through. On the positive side, the students are turning up for them and have expressed approval for the fact that they don’t have compulsory homework to do off-campus. This form of assessment is undoubtedly harder work for the students, it’s also better preparation for the examination that take-home assignments.

We’ve just received the draft examination timetable for January, and I’m pleased that both of the examinations for which I am responsible will take place quite early in the examination period (on 12th and 15th January, respectively) so I should be able to get them corrected in time to have a break for some research before teaching resumes at the start of February.

#complexAnalysis #engineeringMathematics #genai #generativeAi #mathematics #maynoothUniversity

I’ve just published a new post exploring the hidden oscillations behind prime numbers, focusing on the Mertens function, Möbius sums, and their deep ties to the Riemann Hypothesis.
If you’re into analytic number theory or curious about the “structure inside the chaos” of primes, you might enjoy this one.
https://cortexdrifter.blogspot.com/2025/11/the-hidden-oscillations-behind-prime.html
#math #numbertheory #primes #riemannhypothesis #complexanalysis
The Hidden Oscillations Behind Prime Numbers: Mertens Function Revealed

  Introduction to the Mertens Function The Mertens function , denoted M(x) is one of the central objects in analytic number theory. It is...

My photos from the Oct. 10-12 Midwestern Workshop on Asymptotic Analysis   , here at #PurdueFortWayne 🐘
https://www.flickr.com/photos/coffmanadam/albums/72177720329689718
#NSFfunded #math #MathConference #RealAnalysis #ComplexAnalysis
MWAA 2025

The Midwestern Workshop on Asymptotic Analysis mwaa.math.indianapolis.iu.edu/ at Purdue Fort Wayne supported in part by the National Science Foundation

Flickr
\(1^{st}\) announcement for the 2025 Midwestern Workshop on Asymptotic Analysis - October 10 - 12 at #PurdueFortWayne 🐘 .
Participant registration is now open (through Sept. 21 to be considered for travel support), follow the instructions on the web site:
http://mwaa.math.indianapolis.iu.edu/
#NSFfunded
#MathConference #ComplexAnalysis #RealAnalysis #Indiana
Midwestern Workshop on Asymptotic Analysis

\(0^{th}\) announcement for the 2025 Midwestern Workshop on Asymptotic Analysis - October 10 - 12 at #PurdueFortWayne 🐘 .
The web site has a preliminary list of 2025 speakers including our keynote speaker Alexandre Sukhov 🇫🇷 . Online registration and the request form for travel support will be available soon on the web site:
http://mwaa.math.indianapolis.iu.edu/
Students are encouraged to display a poster!
#NSFfunded
#MathConference #ComplexAnalysis #RealAnalysis #Indiana
Midwestern Workshop on Asymptotic Analysis

The #math department at #PurdueFortWayne 🐘 welcomes two new tenure-track faculty!
Vahan Mkrtchyan's research is in #GraphTheory and theoretical computer science   
Liding Yao's research is in #ComplexAnalysis and geometric analysis
My "short communication" has been accepted for #ICM2026 ! The topic is in analysis but I just got the acceptance email and don't have any scheduling or other information yet. The long communication speakers are listed on the web site:
https://www.icm2026.org/event/ac193975-5d24-4628-8c30-ddb23de19a8b/home
Under other circumstances 🤦‍♂️ I would invite everyone to my talk!
#Math #MathConference #ComplexAnalysis
International Congress of Mathematicians (ICM) 2026

Join me at the International Congress of Mathematicians (ICM) 2026

Made a new #complex #function #visualizer using #Shadertoy #GLSL

It creates more lines in regions with a lower gradient/derivative, which feels like a grid with repeating steps/lines. Functions can be explored much better in my opinion.

Link: https://www.shadertoy.com/view/tXc3Ws

#ComplexAnalysis #DomainColoring #Math #CreativeCoding

\(f(z)=\frac{z^{10}-a}{z^{12}+\frac{z}{a}}\)

with \(a\) on the unit circle.

Perfect loop

#Animation #Math #Mathematics #Mathart #Complex #ComplexAnalysis #ComplexPlane #GLSL #Shadertoy #PerfectLoop