🧠 Season 2 · Episode 3 is live!
What really lies behind formulas involving the zeros of ζ(s)? In this episode, we slow things down and unpack symmetry, convergence, and the functional equation—showing why certain identities aren’t formal tricks, but inevitable consequences of the analytic structure itself.
No steps skipped. No magic. Just clarity.
#Math #AnalyticNumberTheory #RiemannZeta #ComplexAnalysis #MathTalks
https://cortexdrifter.blogspot.com/2026/03/a-small-taste-from-my-new-book-season-2_8.html
A Small Taste from My New Book: Season 2 Episode 3

Explorations in analytic number theory, asymptotic analysis, and unsolved problems, written by a mathematician and software engineer.

It's good to see my friends Mei-Chi S. ☘️ and Charles S. have published a new book! I am looking forward to reading it!
https://link.springer.com/book/10.1007/978-3-031-93642-5
#SpringerNature #ComplexAnalysis
Complex Analysis in One Variable and Riemann Surfaces

This Graduate Texts in Math presents an introduction to Complex Analysis in one variable and Riemann surfaces, from both classical and modern points of view.

SpringerLink
A tiny typo. A collapsing product.
In Season 2 · Episode 2, we see how entire functions fail when canonical products are mishandled—and why Hadamard’s theorem demands respect.
Mathematics doesn’t forgive shortcuts.
https://cortexdrifter.blogspot.com/2026/03/a-small-taste-from-my-new-book-season-2.html
#ComplexAnalysis #EntireFunctions #Math
A Small Taste from My New Book: Season 2 Episode 2

Explorations in analytic number theory, asymptotic analysis, and unsolved problems, written by a mathematician and software engineer.

🚀 New on the blog!
Season 2 of “A Small Taste from My New Book” kicks off with a deep dive into infinite products, entire functions, and the hidden architecture of complex analysis. If you love math that connects theory with hands-on exercises, this one’s for you!
Read more and challenge yourself:
🔗 https://cortexdrifter.blogspot.com/2026/02/a-small-taste-from-my-new-book-season-2.html
#math #complexanalysis #infiniteproducts #riemannhypothesis
A Small Taste from My New Book: Season 2 Episode 1

Explorations in analytic number theory, asymptotic analysis, and unsolved problems, written by a mathematician and software engineer.

I just got this email regarding the spring 2026 Midwest Several Complex Variables conference:

"Unfortunately we did not get the NSF grant so the conference will not run this year."

I was not planning to attend this time (Florida Polytechnic being, for me, in an inconvenient corner of the "midwest") but I do co-organize a smaller annual workshop with a similar type of NSF conference grant.  We got some funding in 2025 (>insert Theoden meme<), but I am not sure we will try for 2026. This #NSFfunded SCV event getting canceled is not good for anybody.
#NSF #ComplexAnalysis

Curious how a simple mapping can transform circles into vertical lines or pencils of parallel lines into circles through the origin? Discover the elegant interplay between formulas and geometric intuition—and see why Möbius transformations are central to modern mathematics.

#ComplexAnalysis #Math #Geometry #MöbiusTransformation #RiemannHypothesis

https://cortexdrifter.blogspot.com/2026/01/a-small-taste-from-my-new-book-episode-9.html

A Small Taste from My New Book: Episode 9

Explorations in analytic number theory, asymptotic analysis, and unsolved problems, written by a mathematician and software engineer.

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