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My colleagues and I have started the process of applying for a grant from . This is a strange time for such things here ( 🇺🇸 ) but if anyone is interested I can "live-blog" the process here to document any surprises or changes from our past experience. Specifically we are applying for a "conference grant" to support travel for graduate students and postdocs to an annual regional conference series on mathematical analysis. The conference organizers, including myself, have successfully applied for this grant approximately every year since 2015 - last year it was at Indiana University in Bloomington and for 2025 the location will rotate here to . So - stay tuned, either for good news or an informative fail-in-public anecdote!

Amid all the excitement last week, I forgot that it was the sixth teaching week of the Semester. That means that we’re now past the halfway point. Among other things that meant that examination papers were due in on Friday (8th November). That means two papers for each module I’m teaching, one to be sat in January and another for the repeat opportunity in August, so that’s four altogether.

I always find setting examination questions very difficult. In theoretical physics we want to stretch the stronger candidates at the same time as allowing the weaker ones to show what they can do. It’s a perennial problem how to make the questions neither too easy nor too difficult, but it is compounded this time by the fact that I’m teaching two modules for the very first time so judging the right level is tricky.

Another issue is that I’m once again in a situation in which I have to set examination papers without having taught all the material. At least I’ve covered the first half of the content so I have some idea of what the students found difficult, but that’s not the case for the second half. It should be a bit easier next year once I’ve experience of covering the whole syllabus. Assuming, of course, that I’m teaching the same modules again next year, which is by no means guaranteed…

I’m teaching a module on Differential Equations and Complex Analysis for 4th year students and just about ready to switch to the part that comes after the and. I taught a bit of Complex Analysis when I was at Sussex and I’m quite looking forward to it, although it does pose a particular challenge. Some of the class are doing a Double Major in Theoretical Physics and Mathematics, and have done quite a lot of Complex Analysis before, while others are doing a Single Major in Theoretical Physics and haven’t really done any. I have to somehow find a way to satisfy these two different groups. The only way I can think of to do that is to teach the subject as a physicist rather than a pure mathematician, with an emphasis on examples and real-world applications rather than in the abstract. We’ll see how this works out over the next few weeks.

P.S. On the subject of Complex Analysis, I just remembered this post from a few years ago.

https://telescoper.blog/2024/11/11/midpoint/

In the Dark · A Problems Class in Complex Analysis
More from In the Dark

1st announcement for the 2024 Midwestern Workshop on Asymptotic Analysis - October 11 - 13 at .
The web site has an updated list of 2024 speakers, and an online registration form:
mwaa.math.indianapolis.iu.edu/
(register by Sept. 15, after which travel reimbursement may no longer be available)

mwaa.math.indianapolis.iu.eduMidwestern Workshop on Asymptotic Analysis

After getting Bill Tavis' (mandelmap.com) I got again interested in the Mandelbrot set and want to know more about it. Is there somewhere a book that explains to a mathematical reader our current knowledge about the set? Or could someone of the experts write such a book and inform me about it in a few years, once it is ready? 🙂

MandelmapMandelmapMandelmap poster - a detailed map of the Mandelbrot set in a beautiful vintage style.

Two new lectures on complex analysis:

63. Harmonic functions / Mean-value property (7.2.2)
youtu.be/J24AKN60MuQ

64. Harmonic functions / Harnack's inequality and principle (7.2.3-7.2.4)
youtu.be/18zREgtbSHM

Based on the free book: Cultivating Complex Analysis
jirka.org/ca

The entire playlist is at:

youtube.com/playlist?list=PLRf

Yesterday I made a new update on my several complex variables book

Tasty Bits of Several Complex Variables
jirka.org/scv/
(Free as a PDF as usual, and $16 paperback)

The new material is more on the dbar-problem, new appendix, a few new results throughout (singular sets of varieties, another version of Kontinuitatssatz), and many new exercises, and some new figures.

The paperback on amazon should be live in a day or so at most.

Tasty Bits of Several Complex VariablesTasty Bits of Several Complex VariablesFree online mathematics textbook on several complex variables.