Entering and leaving Europe (i.e., the Schengen Zone) several times in a month

I will be giving several talks across Europe, US and Asia in a space of 70 days (2 months more or less). My itinerary starts in the Schengen area, then leads me to Asia and back to the Schengen area and then to the US and back to the Schengen Area and so on.

My question is whether I am going to have issues crossing the Schengen borders with all the entries, which is not supposed to happen since I will be exiting the Schengen area for the last time before the maximum permitted stay for my passport (Argentina).

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How many times can I enter Schengen?

Schengen visas may allow for a single-entry or multiple entries. With a single-entry visa you can enter the Schengen area only once. This is indicated on the visa sticker by "01". With a visa allowing for two or multiple entries you may enter twice or several times during the validity of the visa.

Can I leaving Schengen area and returning?

Once you leave, you cannot return to Spain (or Schengen) without a visa until a further 90 days have gone by. For example, if you have spent 90 days in total in Spain and leave on June 29th, you cannot go back without a visa until at least September 28th.

Can I enter and or exit the Schengen area via a country other than the one for which I have a visa?

As a general rule, you may cross any Schengen border with visa issued by any Schengen country. However, you should try and stick to your itinerary as filed when applying for your Schengen Visa.

What is the Schengen 90-day rule?

So, when you apply for a Schengen Visa, no matter the Schengen Member State, your visa will be valid for 90 days per 180 days. This means that you may only spend 90 days within the Schengen Area, no more than that. If you overstay, you risk deportation or getting yourself banned from the Schengen Zone.

Overstaying in the Schengen Zone - How to Extend Your Stay in Europe UPDATED

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Nataliya Vaitkevich, Olya Kobruseva, Andrea Piacquadio, Nataliya Vaitkevich