Nice turns mate. One question is why build a spearman for garrison in red? Good idea to have red build it's own garrison but barbs normally invade with warriors, axes and archers (later on swords) such that a spearman's strength is merely their weakness. A better choice for garrison would have been an axe since we do not have archers.
A minor point btw.
keep buidling military in vaij en Bombay we might be able to rush Monty soon
ok I'm the builder, That corroded S.ilver contraption sitting in the corner is the warmonger, but is it honestly feasible to axe rush monty this late? Been so long since I've played prince hehe.
A lucky spread of hinduism into pataliputra
Lucky yes but as much set up by us

. That shrine really pushes its' faith such that red being so close was a shoo in for conversion. Early on, the shrine is as useful for spreading faith as it is for the cash later.
Since this is a learning SG, a detail you took for granted should be explained. After the great prophet, I see you swapped the specs from priests to scientists. This was a good move though not one that is completely obvious perhaps.
Once we got our great 'profit' for the shrine, we really have no need for another. We are using specs to not only ****** growth but also pop GP's we can use, so swapping specs to scientists ensured us at least a great Scientist. The Mids btw are an early source of Great Engineers, so Athens' next GP is a no lose situation.
Another variation is building the mids in vaijsomething it has alot of forest which we can prechop till maths are in ,also it can use the culture. Last reason we could use vaij for mids is that we can keep our capital clean of non scientists GP'
Just not feasible obviously, as Vijay was in no state to slam out the mids.. but that last bit brings up a key idea.
One concept in CIV4 revolves around just how to pop great people. If one has a food rich town and can support many specialists, they have a very high degree of control in which GP will spawn, especially later on with caste system. Wonders on the other hand, can 'pollute' GP pools as they all give fixed GP points of a like kind. If say we built Stonehenge in Athens, the wonder's priest GP points would have sped up our shrine but then would have forced the odds on a second great prophet for the rest of the game. That is GP pollution
For this reason we might want to hold off on building 'just any' wonders in athens after mids, simply so we can better control our flood of great people. Tossing mids with it's great engineer points is not at bad because well you can ALWAYS use a great engineer. If not for that 5th goldenage, where you need 5 different types of GP's, then whatever else

.
This is the main reason I prefer phil to the industrial trait btw. A leader with Phil ends up having much more control over the creation of their GP's since it uses specs to industial's wonderspam and scales with difficulty better. You can never really count on getting the all wonders you want on higher difficulties to the point where it's hard to get ANY haha.
As for next moves, Best to move a few chariots south to fog bust barbs. Lot of jungle down there so an axe or two would work as well.
We really want the mids such that chopping is going to get used here.
We have 8 forests safe to blow yes? 7 are pre-chopped and marked (great job, looks so neat) and that grassland hill's forest needs to get (pre)chopped first.
To break it down, Athens sas 124 hammers into mids turn 0. math in 3 turns at positive cash flow turns each chop into 44 hammers.. To chop on the turn we get math would need 340 hammers.. 7.7ish forests chopped... uh no thanks.
So Monotheism is 6 non deficit spending. Seems that going mono would have been better than math first to get organized religion into play but that wouldn't have sped up the wonder if I understand organized religion's bonus correctly. Minor point and Liq claims

on that one; so send h8 to me.
Ok after some quality time in the world builder.. BIG edit hehehe
Organized religons' 25% building bonus effects the hammers going to any building or wonder. If whipped or chopped, that magnified overflow can go into non buildings.
So turn 9 would need 268 hammers for mids and revolting to organized religion would make that
15 +Xforestchop*55 + Ywhippop*37 >268
Assuming 3 pop whip... 268 -126 < X*55 => 2.6 ish forest chops if done the turn of revolt.
3 forest and a 3 pop whip with 22ish hammers overflow to plop into a settler or worker (which gets pushed back in queue so Athens can grow again). Can get 3x workers in the area to do that.
So yeah either way then, revolt to organized religion on turn 9. Since no anarchy, chop the hill forest +2 riverside, whip 3 population's worth, clean the blood off your tools, and call it a day.
Since this is a 10 turn round, that will be the main focus.. be careful not to chop that hill forest too soon =)
Need to balance workers and military.. want at least 2 axes 2 spears minimum in vijay to be honest. Slaving Bombay to pump out military is fine for this.
Red dot should finish granary and get started on a settler for yellow, Vijay needs to maximize culture first, and be a wonder dump for the Parthenon chop.
For techs we have the following short list.
Construction is the tech that opens catapults and allows us to build walls. I personally don;t see us rushing Monty before we get this tech and well, to be honest, we have a ton of room to grow into still. Placing axes and spears on the border will hold off monty well enough, just remember, chariots eat pure axe groups.
For economics, the twin techs of Currency and Code of Laws are normal choices. Since we are isolated with just the crazy man and his pet skull, trades are meager. Our low overall commerce isn't going to capitalize on getting currency early such that Code of Laws is a better choice for economics.
I think Confusion is still free such that we may have a shot at founding another religion, but that is a minor perk for us to be honest. The real attraction to Code of Laws is to unlock the almighty Courthouse. Since we have a lot of land to expand in, courthouses are required kit for us and Code gets pushed to the top of the list. Actually, if we grab code of laws, tossing a sacrifice town on that marble could be possible after yellow (if it's still open). Run a unit there to fog bust that coast. There *must* be a fishie around there!

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Next tech up is Calender for plantations mostly but also opens the The Mausoleum of Maussollos - a really nice wonder for us as it lengthens golden ages 50%. Based on marble, it spams artist points so keep it out of Athens. We live in jungle land but only have 2 resources that exploit plantations btw.. sugar and incense.
Then we have lovely aesthetics (which leads to literature). A cheap filler tech that lets us start on two very useful wonders. The Shwedagon Paya (gold) enables all religious civics (really nice to be honest) and pollutes great 'profits' and our MUST HAVE of The Parthenon (Marble) +50% great people points in all towns and pollutes great artists. In general this tech is not usually grabbed too fast such that we can pick it up relaxed like =). Not too late tho as we want literature for The Great Library in Athens.
Athens is on mids, if vijay STILL isn;t 'hinduized' by the time mids is done we are in organized religion, pop a missionary for it, Athens as it grows back from that whip.
Bombay is on military (don;t make just axes on garrison, mix with spears!)
Vijay is on gimp, maybe another worker (if red isn;t doing the yellow settler), a temple if Hinduism ever effing spreads. If free, assign a single worker to prechop ALL of those plains forests (if you feel comfortable doing that bit of mm) Alt-s allows you to put a sign on each forest so prechopped as mentioned above. It's so easy to mess up, so I can over that. Liq is bullet proof to all of silver's accusations of

~~!.
Red should make yellow's settler or a worker once it's got it's granary and regrown.
So mulling it over, Code of laws seems best then aesthetics or construction, to get that show on the road either way.
Cheers!
-Liq