Wow, really? I didn't realize you could swipe in this presentation. Looks like this was all it took to implement?

  var addTouchListeners = function() {
    document.addEventListener('touchstart', function(e) {
      touchStartX = e.touches[0].pageX;
    }, false);
    document.addEventListener('touchend', function(e) {
      var pixelsMoved = touchStartX - e.changedTouches[0].pageX;
      var SWIPE_SIZE = 150;
      if (pixelsMoved > SWIPE_SIZE) {
        nextSlide();
      }
      else if (pixelsMoved < -SWIPE_SIZE) {
       prevSlide();
      }
    }, false);
  };

Try rotating. That reliably crashed Safari on iPhone and iPad for me. If it hadn't crashed for some other reason. When it didn't crash it did strange things like display things from later slides on the first slide when it was loading.

Hopefully some geeks at Apple have seen this and are already fixing bugs that it uncovers.