I am currently studying Mathematics, going for a Masters in Statistics, and have been investing in cryptos for about 2 years.
Sounds like you already have the knowledge (more than most of us) to study the technicals of cryptocoins.
The technical analysis (in investing at least) is the evaluation of price and trading volume (float) trends, day over day, week over week, month over month, and year over year (in rare cases). Those two metrics - price and volume - are widely available for most cryptocoins that you can access on the secondary market.
So take price and volume in two separate charts, plot the daily values for the past year or so then apply your math knowledge to develop the moving averages and stochastic oscillator to assess momentum behind the trends.
The challenge is the adoption unknown, this technology and the currencies are so new that you a charted peak doesn't indicate (with confidence) that the coin/currency is overbought and therefore you should wait before buying.
Bitcoin, for example, feels like it's in a bubble but the reason it keeps rising is (I believe) because there are so many new people getting on the train. You can't measure that metric reliability. How do you measure the momentum coming from people that don't yet own bitcoin (or insert your target cryptocoin as needed.)
Question for you - when you get analysis set up, can you share it with us so we can all benefit from your unique knowledge? Thanks.