As Bob says, it really depends on what you want. That is, what do you mean by "studying holography"?
There are three main aspects to holography:
Art and display
Technical holography
Mass Production holography
In Art and Display, you really don't need much technical knowledge. You need to understand art concepts, the play of light and shadow, a little geometry (very little), a few concepts such as coherence lengths and polarisation (these are easily found on the internet). The most important necessity for Art and Display is the creation of an image. You need an "eye" for an image, then you need to translate the "eye" to a real image. So, this aspect is really photography with lasers. Mostly, art and display holographers show their stuff at art shows, such as at The Holocenter (
http://holocenter.org/ ). My feeling (others may disagree) is that the most vital aspect of Art and Display holography is an understanding of lighting and illumination. A knowledge of how the eye sees colour helps.
In technical holography, you have to have a pretty good grasp of diffractive optics, which is part of a college degree in physics or optical engineering, a fairly good knowledge of mathematics, especially partial differential equations and a fairly deep knowledge of geometry. If you're in a bachelor's course in physics or optical engineering, this is one possibility. There is a growing interest in this type of holography due to the rising interest in VR/AR glasses, for example Microsoft's Hololens, HUDS (Heads Up Displays) for cars and aircraft, applications involving novel displays as well as various military programs. Corporations are spending many millions getting into technical holography, but, you've got to be able to do the physics and mathematics.
Mass Production holography involves holography as it's used in security, product identification and other mass production commercial applications. The actual holography is just standard display holography, but you need a good grasp of geometry. A good place to get an idea of this field is Reconnaisance (
https://www.reconnaissance.net/holography-news/ ).
Bob mentioned digital holography. For this, you need good programming skills, as well as a good knowledge of digital image processing, such as FFT's. You also need to understand what is meant by "image" in terms of mathematical concepts. The book on this (I think, Petr may disagree) is Goodman's "Introduction to Fourier Optics" or Cathey "Optical Information Processing and Holography". Both of these are quite mathematical. But, if you're in a bachelor's course in engineering, you'll be covering all this material.
Overall, a knowledge of chemistry helps, depending on the field you choose. Display and mass production holographers still use chemistry. Increasingly, technical holographers are working on materials that don't need any chemistry.
