Improving the World Cup

How do we get the ICC to see the sense of including preliminary finals in the World Cup (and so moving to a McIntyre final four system? All World Cups to date have had two knockout semi-finals, with the winners facing each other in the final. It’s well-known the McIntyre final four system is fairer, and as a bonus, you get one more final game, so more money! Dear greedy ICC, surely the money argument is the one to win you over.

It’s not even as though cricket is unfamiliar with the practice. The Big Bash league uses this system, albeit with adding their own silly names for the various games.

I am very willing to be paid an exorbitant amount of money as a consulting fee, and even flown first class to an ICC meeting to explain to those in charge the superiority of the McIntyre system.

Wikipedia has the format for the 2027 World Cup, which includes the dumb version of the final four. It’s not too late to change it – in fact they changed from a super six to a super seven just two days ago.

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Κόνιτσα, Ελλάδα (Konitsa, Greece)

I recently spent one night in this town.

sunset from hotel window

sunset from hotel window

Arrival: I drove in from Ioannina, the largest town in the region, from where I rented a car. To travel around this part of Greece, a car is certainly very useful.

Church/Medieval Castle/Aiminadia Peak: At this curve in the road, I saw the sign to a medieval castle, together with a couple of parked cars so I thought I’d stop too and have a gander. I walk along the path and what do I get to is not a castle, but a church.

me and my mad selfie skillz (view from church)

Nevertheless, the trail continues through the churchyard, so onwards I proceed. Eventually I do find some ruins, which must be the castle the sign is talking about, and still no sign of anyone from the other cars. The trail continues to go upward, and eventually heads to Aiminadia Peak (and beyond), though I don’t know this at the time. Not being prepared for a long hike I return back to the car and the heavens open shortly upon returning.

Road Trip: When the weather clears, I’m sitting in my hotel room listening to the Kiwis roll the Poms on TMS. As enjoyable as that is, it’s not what I’m in Greece to do, so I head out again, along some empty roads, first to Holy Monastery of the Virgin Mary Molybdoskepastos and then to Moni Agion Taxiarchon. The first of these monasteries is in active use, the second looks closed and for some reason has some decaying basketball courts. The best viewpoint I find here is in the town of Aidonochori.

Albania: Despite coming within 400m of Albanian territory, I didn’t enter the country. I’m not doing a very good job of visiting every country in the world.

Moni Panagias Stomiou: There is a hike from the stone bridge along the gorge to this monastery. As it is the most famous and most photographed tourist site in Konitsa, instead I’m going to throw out this image captured from a point along the hike and ask: Who built this wall? Why? How?


There are two routes to the monastery, the easy route and the difficult route, which was the road less travelled and worth taking in one of the directions. And as with the castle, there are trails going beyond the monastery for more serious hiking. And again that is another hike for another day (maybe even for you, dear reader, to undertake). Rather intriguingly, there was one point along the path to the monastery where a trail branched off with a warning sign not to proceed without the proper safety equipment. Is this a third route to the monastery? I don’t know – more research is needed.

Departure: The route out following the Sarantaporos river upstream is a beautiful drive.

Tortoises: No animals were harmed in the production of this blogpost. This is despite the passivity of the two tortoises I found just hanging out on the road that I had to slow down and drive around, as well as the stray dogs essentially doing the same thing (unlike other parts of Greece where cats rule, here dogs are in the ascendancy).

Epilogue (Vikos Gorge): My original plan was to visit this en route from Ioannina to Konitsa, but that was before I even checked the weather forecast. Low cloud and rain didn’t seemed about as far away from the ideal weather as possible, so this got punted to the end of my drive around the region. I returned to Ioannina via staying a night in the mighty metropolis of Vradeto, where I quite likely met every other person staying in the town that evening. That’s not zero people, there was the couple that owned the hotel (and plied me with liquor from a plastic bottle), the people that owned/worked at the restaurant and the two other guests at the hotel. About the gorge itself, it’s about a 30-40 minute walk from Vradeto to the viewpoint. This time, the hike does not continue further, but can still be made longer by starting before Vradeto.

Acknowledgements: Thanks to Dominick, who visited this region before I did, told me about it and inspired this visit. (It seems very likely that Dominick had even more fun than me).

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EDC 2025

Dear Diary,

In November my friends Jelte and Maaike hosted an EDC party. It sounded like a lot of fun so I went. I got on a bus and then a train and then another bus and then an aeroplane and then a better train and arrived in Leiden. When I arrived at my hotel there was nobody there (I need to fire my manager) so I met with my friend Hunter. I played collector as we walked around town and found plants and closed restaurants but no holy grail.

The next day was the start of the tournament. After dinner with friends old and new, I went to the venue where there were even more friends old and new to meet. Then we started playing diplomacy. In the first game I got to play Austria. I like playing Austria because once upon a time I played Austria really well and my BADASS friends gave me a red bear. I hope to win another bear. This time my friend Thijs is playing Turkey and stabs me, so I have to turn into a grumpy old man and not let him take my centres. I am good at being a grumpy old man but this is not a good way to win bears.

The next morning was the second game and I got to play Italy. Some people think I am good at Italy because of a video they saw on something they call U-tube from 2021. This game did not go well because my friend Alex was playing Austria and decided to take Venice from me. I fought to take it back but that meant that my other friend Mr Ed took Tunis and won. I am impressed that a talking horse can win a game of diplomacy.

A lot of other things happened this day. We ate a Dutch lunch. I was very happy for my friend Davide because Dutch lunch is his most favouritist food in the whole world. Another thing that happened was that my friends Bradley and Conrad said they wanted to have an EDC party next year. Everyone clapped and now they will have an EDC party. I had hoped there would be a song and a dance, and then other countries would get up and have a song and dance, and then we would vote and the country with the most neighbours would win. Maybe next time.

Later that day we got to play another game and I got to play England. My friend Gavin thinks I am good at playing England but I think he just has PTSD. I manage to take over both Moscow and Spain but forget to defend my homeland. I try to talk my friend Camille out of taking my centres but she just looks at me with a look that says “I am going to take your centres. You know I am going to take your centres and you know there is nothing you can do about it”. It must be opposites day because I am supposed to be the one giving other people those sorts of looks.

After the games we had a group dinner and then some of us continued at a bar. Including my new friend Nathan but he was not having the adult beverages. I say that if you play an adult game, then you can drink an adult drink. I will have to talk to his Dad about it.

The next day was the Top Board, which is a Very Big Thing but I was not on it because I am overrated. Instead I did sideline commentary with Ed (look mum, I’m on teh internetz). In addition to being a talking horse, Mr Ed is a lawyer who has been in front of the Supreme Court, which is what USAians call their High Court. I wonder if he has ever told the person with a funny wig that a man’s home is his castle. As I was sidelining I didn’t play. This also meant that my friend Darcy wasn’t sidelining and got to play. I was happy for Darcy because if there is one thing Darcy likes more than playing diplomacy, it is playing even more diplomacy.

At one point on the top board some people started saying that my friend Brandan was throwing the game which wasn’t very nice. What had happened was that my friends Mikalis and Tanya were in an alliance and attacking Brandan, probably because they were jealous of his luscious Viking hair. Brandan and Tanya came up with an agreement that broke the unholy alliance in a way that heavily favoured Tanya. Under the pressure I’m not sure Brandan realised the extent of the help he was giving until afterwards. When I was younger, and in my prime, I used to play top boards all the time. So I know about the pressure and have done dumb game-changing things under the pressure.

In the end Tanya won. There was also another Dutch lunch (Davide was even happier than the previous day!) and an awards ceremony. We all celebrated Tanya being better at diplomacy than the rest of us. We found an Aussie pub and an Italian restaurant and ended up singing happy birthday to Maaike.

The next day I left. I was sad because I was leaving all my friends but happy because I had a fun time and also happy because I know that in May my friend Spyros will have a party, except that his party will have the letter W in it instead of the letter E.

The End.

[Editor’s note. The author may or may not have spent too much time recently with the collected works of Sir Doris.]

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2025 Booklist

Pratchett – Wyrd Sisters
I’m not going to review individually the various Discworld books I’ve read. If you haven’t read any Pratchett, I strongly recommend reading the Colour of Magic and deciding from there how many Discworld books you want to read.

The Best Australian Science Writing 2024
I bought this back in 2024 (not cool – what if I wrote the best ever Australian Science writing on December 31 and then it couldn’t be included!) and decided not to give it as a present. I found it an interesting potpurri of articles.

Pratchett – Pyramids

Silver – On the Edge
The author is the guy who became famous because of the 538 blog covering polling for the 2008 US presidential election (happier times). I found the poker stuff interesting enough, but the book couldn’t keep up interest as it moved into other topics. Skip this.

Robbins – In Search of Kazakhstan
This is a lighthearted and enjoyable easy-reading travelogue from the days of Kazakhstan that now are closer to the breakup of the USSR than the present day. Did you know apples are from Kazakhstan? You do now. Extra fact: Despite me already having a poor opinion of the Soviet regime, this book managed to lower it.

Crichton – Jurassic Park (reread)
The book is always better than the movie. And this one is a good movie.

Hotten – Bat, Ball and Field
Hotten used to blog at The Old Batsman but like many bloggers has moved to substack. This will give you a glimpse of his writing style.

O’Reily – A Thoroughly Unhelpful History of Australian Sport
Why does Titus O’Reily not have a wikipedia page? A mix of humour and history of the Australian sporting landscape. Worth looking at if you have an interest in the latter.

Pratchett – Guards Guards

Studwell – How Asia Works
A book about the economics of development in 20th century Asia, attempting to explain the relative economic trajectories of various countries studied. Talks about land reform, protectionist policies for industry and financial deregulation. Does get a little repetitive hearing these for the n-th time, but I think I learned something.

Kuang – The Poppy War
The first book in an ambitious fantasy trilogy that is set in a fictional country that very clearly is China, though all place names are fictionalised. I picked this up after having read (not in 2025) and enjoyed her Babel novel. Good enough that I went to read the sequel, and the third book in the trilogy is on my to-read list.

Pratchett – Moving Pictures

Tough – Solo
Jenny Tough sets out to run (yes run) across mountain ranges in six continents. This is completely bonkers. A simple and enjoyable quick read.

Pratchett – Eric

Rhinehart – The Dice Man
The main character in this book is a psychiatrist who makes decisions in his life by rolling dice. Which can range from sensible to absolutely bonkers depending on the nature of the decisions you are trusting to fate. No prizes for guessing where on the spectrum this is – you’re going to struggle to get a novel out of using a D6 to decide whether to get the chicken or the beef on a flight.

Pratchett – Reaper Man

Kuang – The Dragon Republic
The sequel to The Poppy War (above). Read this if and only if you read and enjoyed The Poppy War.

Rushdie – Haroun and the Sea of Stories
This is, simply, a beautiful well-written story. Suitable for all ages. Afterwards, I started his more famous Satanic Verses and found it much harder going, it seemed hard to believe it was from the same author. Absolutely recommend.

Pratchett – Witches Abroad

Tesh – Some Desparate Glory
Very good Science Fiction.

Watterson – The Complete Calvin & Hobbes Book I
Yes I’m counting this as a book.

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Providence Restaurant Guide

Xaco Taco (south of downtown, walking distance). A favourite. It’s good to be in a place again where you can get good Mexican food. Tacos are their main dish (including happy hour tacos between 3-5pm). Their bowls are a great value option, and I’ve heard good things about their margaritas as well. Thanks to Stephen for suggesting this on the first day. 5/5.

Cielito (Thayer St). If you want good Mexican food on a smaller budget then this is the place to go 5/5.

Coldstone Pizza (downtown). Best pizza in town. 5/5.

Quitos (Bristol). Seafood restaurant. Get there by cycling along the East Bay bike path. If you’re a long term visitor to ICERM, Recycle-a-bike is a good place to find a bike for the duration of your visit. They lose half a point because the salmon wasn’t quite worth full marks. 4.5/5.

Mokban (downtown). Korean restaurant. Easily the best Asian cuisine I’ve found in Providence. 4.5/5.

Antonios (Fox Point, or on Thayer St). Pizza by the slice. You want to go here only on Wednesdays, when the pizza is only $3.24/slice, otherwise you’ll pay through the nose. The Fox Point location is superior to the Thayer St one. Look for the square pizza with pepperoni and white dollops of cheese. 4/5.

Den Den (north of ICERM). Another Korean restaurant. I went here once early on and my memory is a bit hazy. Decent food, if not as good as Mokban. 4/5

East Side Pockets (Thayer St). Felafel (and other culturally similar foods). An inexpensive way to fill up. 3.5/5.

Jahunger Providence (Fox Point). Uighur cuisine. Only the second Uighur restaurant I’ve ever been to, so I’m expecting many people may not have had their cuisine. If that’s the case, you should try it and see if it’s for you. 3.5/5.

Congress Tavern (downtown). Look, you’re not here for the food, you’re here because it’s a bar and you’re hoping for a decent burger or similar while you drink. On that note, they do a reasonable job. One unusual thing they do serve is lobster nachos. And these are genuinely good, if you can stomach the steep asking price. 3.5/5.

Geoff’s Superlative Sandwiches (south of ICERM). Standard place to go for a sandwhich. Their menu is extensive, there’s a second blackboard with a beginner version if the first one is overwhelming. Surely you can find something you like here. 3.5/5.

Sura (downtown). Don’t bother going here. It’s not bad, it’s just that Mokban across the road is better. 3.5/5.

Livi’s Pockets (downtown). On the plus side, service was very fast. On the minus side, it felt like a lot of money for a wrap that wasn’t anything special. It’s the same owner as Livi’s Burritos in the same arcade., but the latter was closed so I didn’t get to try that. 3/5.

Baja’s Taqueria (Thayer St). We went for burritos here so I ordered a burrito. I think that personally this is the wrong thing for me to order at a Mexican place, so I’m not rating this one very highly. 3/5.

Filini’s I’ve had one very good slice of pizza here, one very ordinary slice, and half a sandwich that didn’t agree with me. Not worth hoping that you’ll find one of their better pizzas. 2.5/5.

Plant City (south of ICERM). As the name suggests, vegetarian. I had one wrap on their menu and decided that Geoff’s is preferable. 2.5/5.

Jolly Roger Cafe (south of ICERM). I went once here and didn’t vibe with the place. 2.5/5.

Cielito (downtown). Mexican food. I went once and felt I paid too much for a dish that wasn’t really all that tasty. 2/5.

The Malted Barley (downtown). Their main dish is pretzel sandwiches. Yes you heard that correct (the pretzels are the bread, not the filling). The only thing I consider worth eating here is their soup, and only if it’s the clam chowder. Anyway, you’re not here for the food, you’re here because of the trivia, but we learned that this isn’t even the right place to go for trivia – check out The Point Tavern in Fox Point instead. 1/5.

Dune Brothers (south of downtown) So the USA doesn’t seem to understand fish and chips. The price here is something like four times what it costs at home. Given the sticker shock, I went for something else and was seriously disappointed. 0.5/5.

Mala Noodles (Thayer St) This place is crap. 0/5.

Greg’s Breakfast and Lunch (by the Washington secondary trail) Back in my cycle touring days (which lasted until I put my bike on a Fung Wah bus and went home), I had a breakfast in the same set of shops as this place (I think not at Greg’s though). It was a great breakfast, meaning large or immense, but also not in the pejorative sense. So I went to Greg’s wistfully hoping for more of the same. The food was very standard American diner fare. What is really dragging down this review is the ambience. They were playing the radio, and their choice of radio station was a Christian station. Even if you took the lyrics away from the music, looking purely at the rest of the musical composition, it was the lamest possible music you’ve ever heard. I subscribe to the Red Symons rating theory where zero is not a lower bound. -1/5.

Track 15 (downtown) Track 15 is a glorified food court. Apparently the only option there that is edible is the Indian, but if you know me, you’ll know that that is not going to be my first choice of cuisine. They lose marks because when I ordered, I was asked for my phone number. That’s already completely inappropriate, but if the age/gender roles were reversed would be outright creepy. -2/5.

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The Last DECRA

What The DECRA is a grant for early career researchers, funded by the Australian Research Council. It’s a three year fellowship, providing both salary support and research funding.

Who You are eligible to apply up to 5 years post-PhD, and has allowances for career interruptions. You must have the support of an Australian university, but you do NOT have to be currently employed at an Australian university.

When For funding commending in 2027 (for which the default PhD award date is 1 March 2021), applications will be open early in the new year, with anticipated results announcement in September-October.

Why Last? I’ve been told it’s the last. The ARC isn’t great at actually announcing things like this. (this is what I can find). So if you’re eligible, and want to live in Australia, apply this round!

Is it a good deal? Yes (personal experience).

What does an application look like Here’s mine. It’s a sample size of one.

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IMO 2025

I went to this year’s IMO (no not as a contestant, I’m ineligible) on the Sunshine Coast. I have to lead with this image, which is the pattern of tiles on the floor at the Sunshine Coast airport.

The image contains a very mild spoiler to problem 6 on this year’s exam. The uncanny coincidence is too awesome to not mention it.

My role was on the problem selection committee, which means I was involved in selecting the shortlist, which involved getting to the Sunshine Coast much earlier than the contestants (never a bad thing to be next to a QLD beach in winter), getting a few days off, then recommencing academic work with jury meetings and coordintion.

Here’s a picture from nearby Mount Coolum, taken on a hike during the break period.

When initially approached, I was a little apprehensive about how my rustiness with olympiad mathematics would affect my opinions and capability to work on the shortlist, but I think things turned out fine. I would be willing to do this again if asked. Coordination felt very different to the shortlisting process, it involves a lot of work in a short time period, some of which can be stressful, but is of essential importance to making an IMO run smoothly. I think I enjoyed the whole process more because I was on the PSC beforehand, and would be less likely to accept to attend a future IMO in a coordination only role than I would as a PSC role.

Here is an awesome T-shirt. I want one.

The Australian Maths Trust took the opportunity to have an alumni reunion event on the final morning. They had this swag to give away, highlighted by copies of Australian Scenes (no longer published in dead tree form) dating back to 1992. I took the opportunity to complete my collection from the years in which I competed.

Unfortunately the publicity around this IMO in more mainstream media tended to focus on the unverifiable claims of the AI community rather than the feats of the students involved. Any organisation between the IMO and AI companies was a shambles, with nothing being organised in advance to force any integrity onto the AI companies, and inappropriate requests for coordinators to mark AI scripts, including after the closing ceremony with some in person approaches by individuals with laptops.

To end on a more positive note, here’s a reunion photo taken after the closing ceremony. All of us were at IMO 2001 and all of us were graduate students at MIT together.

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The spin Brauer category

Alistair Savage and I have uploaded our paper The spin Brauer category to the arXiv.

The Brauer category only sees the representations of \mathfrak{so}_N, which come from representation of the group \mathrm{SO}(N). In particular, it misses the spin representation S (which is a tensor generator of the category of finite dimensional \mathfrak{so}_N-modules). The starting point of this paper is to define a new category, the spin Brauer category, which sees the spin, and hence all, representations of \mathfrak{so}_N. Here is the abstract:

We introduce a diagrammatic monoidal category, the spin Brauer category, that plays the same role for the spin and pin groups as the Brauer category does for the orthogonal groups. In particular, there is a full functor from the spin Brauer category to the category of finite-dimensional modules for the spin and pin groups. This functor becomes essentially surjective after passing to the Karoubi envelope, and its kernel is the tensor ideal of negligible morphisms. In this way, the spin Brauer category can be thought of as an interpolating category for the spin and pin groups. We also define an affine version of the spin Brauer category, which acts on categories of modules for the pin and spin groups via translation functors.

If you go to the arXiv and download the source, you will see the following line:

%\toggletrue{details} % To include details (default is false)

If you uncomment this line (and fix the bibliography, which for reasons unknown to me appears at the start when you download source), and then compile the file yourself, you will see a version with more details.

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We’re hiring (2023 edition)

We’re hiring!

Two permanent positions in pure maths. One in geometry/topology, one open for all areas of pure mathematics. Applications are through mathjobs (link to Job 1, link to Job 2), and are due December 18 (AEDT).

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Ublock origin filters (unimelb/mathoverflow/stackexchange)

Motivated by recent changes to the mathoverflow cookie popup spam, I recently learned something about Ublock origin filters. In particular, a URL X matches *X. Now my custom filters file contains the lines


unimelb.edu.au##.tealium_explicit_consent.tealium_privacy_prompt


##.js-consent-banner.r16.l16.b16.bar-lg.fc-white.bg-black-600.sm\:p16.p32.sm\:w-auto.ws4.z-nav-fixed.ps-fixed.ff-sans


##.wmx12.mx-auto.jc-center.ai-center.d-flex.px12


##.js-dismissable-hero.ps-relative.fc-black-300.bg-black-600.py24.sm\:d-none

So the first line above matches every unimelb.edu.au website, independent of the prefix before unimelb. While the last three match every website, so I can use this set of three filters not just on mathoverflow, but on every site in the stackexchange network.

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